From bc4c09fd4d36ae8e221e828305354d9f610cdc60 Mon Sep 17 00:00:00 2001 From: David Masad Date: Wed, 4 Nov 2015 23:07:47 -0500 Subject: [PATCH 01/61] Editing tutorial Editing tutorial, moving some of it to Overview --- docs/intro-tutorial.rst | 166 +++++----------------------------------- docs/overview.rst | 47 ++++++++++++ 2 files changed, 65 insertions(+), 148 deletions(-) create mode 100644 docs/overview.rst diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index 2610e41f156..ade549551dc 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -17,7 +17,7 @@ Let's get started. Installation ------------ -The first thing you need to do is to install Mesa. We recommend doing this in a `virtual environment`_. Make sure your work space is pointed to Python 3. Mesa requires Python3 and does not work in < Python 3 environments. +The first thing you need to do is to install Mesa. We recommend doing this in a `virtual environment `_, but make sure your environment is set up with Python 3. Mesa requires Python3 and does not work in < Python 2 environments. To install Mesa, simply: @@ -25,120 +25,33 @@ To install Mesa, simply: $ pip install mesa -When you do that, it will install the following packages and dependencies. +When you do that, it will install Mesa itself, as well as any dependencies that aren't in your setup yet. -- mesa -- tornado -- numpy -- pandas - - -Overview of Modules ------------- - -There are three module types in Mesa. - -1. modeling -2. analysis -3. visualization - -TODO: Insert image - - -Modeling modules -~~~~~~~~~~~~~~ - -To build a model, you need the following: - -* **Model class** to store the model-level parameters and serve as a container for the rest of the components. - -* **Agent class(es)** which describe the model agents. - -* **Scheduler** which controls the agent activation regime, and handles time in the model in general. - -* **space** components describing the space and/or network the agents are situated in (if any). - - -Analysis modules -~~~~~~~~~~~~~~ - -Not every model *needs* these modules, but they provide useful tools for getting data out of your model runs to study more systematically. - -* **Data collectors** are used to record data from each model run. -* **Batch runners** automate multiple runs and parameter sweeps -- running the model with different parameters, to see how they change its behavior. - - -Visualization modules -~~~~~~~~~~~~~~ - -A visualization lets you directly observe model runs, seeing the dynamics that emerge from it and making sure that it's behaving in the way you want it to. Mesa handles visualizations in a browser window, using JavaScript. It provides a set of pre-built components, which can be instantiated for a particular model in Python and automatically generate the corresponding objects in the browser window. It's also easy to write your own components with some basic JavaScript knowledge. - -Some visualization modules we'll use here include: - -* **Grid** visualization, -* **Chart** display module, -* The **ModularServer** itself. Building a sample model ------------- - -Now that we understand a little bit about the components, let's use those components to build a model. +------------------------ -First, we need a place to put our model. Let's create a directory for our model for good practice. In this tutorial, we will call this 'mesa-example'. +With Mesa all installed, let's go ahead and start building our model. There are two ways to go about it: you can write the code in its own file with your favorite text editor or IDE, or interactively in Jupyter Notebook cells. -.. code-block:: bash - - mkdir mesa-example - cd mesa-example +Either way, it's good practice to put your model in its own folder -- especially if the project will end up consisting of multiple files (for example, Python files for the model and the visualization, a Notebook for analysis, and a Readme with some documentation and discussion). -Create a file to store your sample model. Let's call it money.py. - -.. code-block:: bash +Go ahead and create a folder, and either launch a Notebook or create a new Python source file. - touch moneymodel.py -In the editor of your choice, open moneymodel.py. +Setting up the model +~~~~~~~~~~~~~~~~~~~~~ -To begin building the example model described at the top of this page -- we first *subclass two classes: one for the model object itself and one the model agents*. +Now it's time to start writing the code. The model is going to need two core classes: one for the overall model, the other for the agents. The model class holds the model-level parameters, manages the agents, and generally handle the global level of our model. Each instantiation of the model class will be a specific model run. Each model will contain multiple agents, all of which are instantiations of the agent class. Both the model and agent classes are child classes of Mesa's generic Model and Agent classes. +Each agent has only one variable: how much wealth it currently has. It's also good practice to give agents a unique identifier (i.e. a name), stored in the ``unique_id`` variable. -Creating the model -~~~~~~~~~~~~~~ +There is only one model-level parameter: how many agents the model contains. When a new model is started, we want it to populate itself with the given number of agents. The first we do is import the ``Model`` base class. .. code-block:: python - from mesa import Model - -Then we subclass and instance of the Money Model. The model itself will have some number of agents and will have a funtion to create our agents. - -.. code-block:: python - - class MoneyModel(Model): - """A model with some number of agents.""" - def __init__(self, N): - self.num_agents = N - -Creating Agents -~~~~~~~~~~~~~~ - -In our example, each agent has a single ... - -* variable: How much money it currently has -* action: Give a unit of money to another agent - -The first we do is import the ``Agent`` base class. Update the import statement to reflect this. - -.. code-block:: python - - from mesa import Model, Agent - -Then subclass Agent to create a class that is specific to our sample model. (You will want to put this above the Model class, because the model is going to need to reference it.) - -Each agent should have a unique identifier and start with a wealth of 1. - -.. code-block:: python + from mesa import Agent, Model class MoneyAgent(Agent): """ An agent with fixed initial wealth.""" @@ -146,60 +59,17 @@ Each agent should have a unique identifier and start with a wealth of 1. self.unique_id = unique_id self.wealth = 1 - class MoneyModel(Model): - .... - -We have an Agent object and a Model Object, but we have no Agents in our Model. Let's add those. - -Adding Agents to Model -~~~~~~~~~~~~~~ - -Add create_agents function to the MoneyModel. We need to loop over the num_agents and instantiate an our agent and store the agent into a variable. - -.. code-block:: python - - class MoneyModel(Model): - ... - - def create_agents(self): - """Method to create all the agents.""" - for i in range(self.num_agents): - a = MoneyAgent(i) - -Then, we need to call this function when the object is initiated. - -.. code-block:: python - class MoneyModel(Model): """A model with some number of agents.""" def __init__(self, N): self.num_agents = N - self.create_agents() - -At this point, your code should look like the code below. - -.. code-block:: python + # Create agents + for i in range(self.num_agents): + a = MoneyAgent(i) + # Now what? See below. - from mesa import Model, Agent - - class MoneyAgent(Agent): - """ An agent with fixed initial wealth.""" - def __init__(self, unique_id): - self.unique_id = unique_id - self.wealth = 1 - - class MoneyModel(Model): - """A model with some number of agents.""" - def __init__(self, N): - self.num_agents = N - # The scheduler will be added here - self.create_agents() - - def create_agents(self): - """Method to create all the agents.""" - for i in range(self.num_agents): - a = MoneyAgent(i) - # Now what? See below. +Adding the scheduler +~~~~~~~~~~~~~~~~~~~~~ ** THIS DOC IS IN PROGRESS ** diff --git a/docs/overview.rst b/docs/overview.rst new file mode 100644 index 00000000000..6db93ad76fd --- /dev/null +++ b/docs/overview.rst @@ -0,0 +1,47 @@ + + +Overview of Modules +--------------------- + +Mesa is modular, meaning that There are three module types in Mesa. + +1. Modeling +2. Analysis +3. Visualization + +TODO: Insert image + + +Modeling modules +~~~~~~~~~~~~~~ + +To build a model, you need the following: + +* **Model class** to store the model-level parameters and serve as a container for the rest of the components. + +* **Agent class(es)** which describe the model agents. + +* **Scheduler** which controls the agent activation regime, and handles time in the model in general. + +* **space** components describing the space and/or network the agents are situated in (if any). + + +Analysis modules +~~~~~~~~~~~~~~ + +Not every model *needs* these modules, but they provide useful tools for getting data out of your model runs to study more systematically. + +* **Data collectors** are used to record data from each model run. +* **Batch runners** automate multiple runs and parameter sweeps -- running the model with different parameters, to see how they change its behavior. + + +Visualization modules +~~~~~~~~~~~~~~ + +A visualization lets you directly observe model runs, seeing the dynamics that emerge from it and making sure that it's behaving in the way you want it to. Mesa handles visualizations in a browser window, using JavaScript. It provides a set of pre-built components, which can be instantiated for a particular model in Python and automatically generate the corresponding objects in the browser window. It's also easy to write your own components with some basic JavaScript knowledge. + +Some visualization modules we'll use here include: + +* **Grid** visualization, +* **Chart** display module, +* The **ModularServer** itself. \ No newline at end of file From 3fe7104e0889f6355f1d00a99fedac684a97ec0a Mon Sep 17 00:00:00 2001 From: David Masad Date: Wed, 4 Nov 2015 23:33:35 -0500 Subject: [PATCH 02/61] More tutorial writing --- docs/intro-tutorial.rst | 53 ++++++++++++++++++++++++++++++++++++++++- 1 file changed, 52 insertions(+), 1 deletion(-) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index ade549551dc..64484d0f79a 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -47,7 +47,7 @@ Each agent has only one variable: how much wealth it currently has. It's also go There is only one model-level parameter: how many agents the model contains. When a new model is started, we want it to populate itself with the given number of agents. -The first we do is import the ``Model`` base class. +The beginning of both classes looks like this: .. code-block:: python @@ -71,6 +71,57 @@ The first we do is import the ``Model`` base class. Adding the scheduler ~~~~~~~~~~~~~~~~~~~~~ +Time in most agent-based models moves in steps, sometimes also called ticks. Each step of the model, one or more of the agents -- usually all of them -- are activated and take their own step, changing internally and/or interacting with one another or the environment. + +The ``scheduler`` is a special model component which controls the order in which agents are activated. For example, all the agents may activate in the same order every step; their order might be shuffled; we may try to simulate all the agents acting at the same time; and more. Mesa offers a few different built-in scheduler classes, with a common interface. That makes it easy to change the activation regime a given model uses, and see whether it changes the model behavior. + +For now, let's use one of the simplest ones: ``RandomActivation``, which activates all the agents once per step, in random order. Every agent is expected to have a ``step`` method, which takes a model object as its only argument -- this is the agent's action when it is activated. We add an agent to the schedule using the ``add`` method; when we call the schedule's ``step`` method, it shuffles the order of the agents, then activates them all, one at a time. + +With that in mind, the model code with the scheduler added looks like this: + +.. code-block:: python + + from mesa import Agent, Model + from mesa.time import RandomActivation + + class MoneyAgent(Agent): + """ An agent with fixed initial wealth.""" + def __init__(self, unique_id): + self.unique_id = unique_id + self.wealth = 1 + + def step(self, model): + # The agent's step will go here. + pass + + class MoneyModel(Model): + """A model with some number of agents.""" + def __init__(self, N): + self.num_agents = N + self.schedule = RandomActivation(self) + # Create agents + for i in range(self.num_agents): + a = MoneyAgent(i) + self.schedule.add(self) + + def step(self): + '''Advance the model by one step.''' + self.schedule.step() + +At this point, we have a model which runs -- it just doesn't do anything. You can see for yourself with a few easy lines: + +.. code-block:: python + + empty_model = MoneyModel(10) + empty_model.step() + +**Exercise:** If you want, modify the code above to have every agent print out its ``unique_id`` when it is activated. Run a few steps of the model to see how the agent activation order is shuffled each step. + +Agent step +~~~~~~~~~~ + +Now we just need to have the agents do what we intend for them to do: check their wealth, and if they have the money, give one unit of it away to another random agent. + ** THIS DOC IS IN PROGRESS ** From ac33b21d2a7f466af39b8380881c0bf54548cfd4 Mon Sep 17 00:00:00 2001 From: David Masad Date: Wed, 4 Nov 2015 23:42:03 -0500 Subject: [PATCH 03/61] More writing --- docs/intro-tutorial.rst | 30 +++++++++++++++++++++++++++++- 1 file changed, 29 insertions(+), 1 deletion(-) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index 64484d0f79a..42abc3c9aba 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -41,7 +41,7 @@ Go ahead and create a folder, and either launch a Notebook or create a new Pytho Setting up the model ~~~~~~~~~~~~~~~~~~~~~ -Now it's time to start writing the code. The model is going to need two core classes: one for the overall model, the other for the agents. The model class holds the model-level parameters, manages the agents, and generally handle the global level of our model. Each instantiation of the model class will be a specific model run. Each model will contain multiple agents, all of which are instantiations of the agent class. Both the model and agent classes are child classes of Mesa's generic Model and Agent classes. +Now it's time to start writing the code. The model is going to need two core classes: one for the overall model, the other for the agents. The model class holds the model-level parameters, manages the agents, and generally handle the global level of our model. Each instantiation of the model class will be a specific model run. Each model will contain multiple agents, all of which are instantiations of the agent class. Both the model and agent classes are child classes of Mesa's generic ``Model`` and ``Agent`` classes. Each agent has only one variable: how much wealth it currently has. It's also good practice to give agents a unique identifier (i.e. a name), stored in the ``unique_id`` variable. @@ -122,6 +122,34 @@ Agent step Now we just need to have the agents do what we intend for them to do: check their wealth, and if they have the money, give one unit of it away to another random agent. +To pick an agent at random, we need a list of all agents. Notice that there isn't such a list explicitly in the model. The scheduler, however, does have an internal list of all the agents it is scheduled to activate. + +With that in mind, we rewrite the agent's ``step`` method, like this: + +.. code-block:: python + + class MoneyAgent(Agent): + # ... + def step(self, model): + if self.wealth == 0: + return + other_agent = random.choice(model.schedule.agents) + other_agent.wealth += 1 + self.wealth -= 1 + + +Running your first model +~~~~~~~~~~~~~~~~~~~~~~~~~ + +With that last piece in hand, it's time for the first rudimentary run of the model. Let's create a model with 10 agents, and run it for 10 steps. + +.. code-block:: python + + model = MoneyModel(10) + for i in range(10): + model.step() + + ** THIS DOC IS IN PROGRESS ** From 42ec5cd1e41633f7137e4fccecc686af60323835 Mon Sep 17 00:00:00 2001 From: David Masad Date: Thu, 5 Nov 2015 13:04:08 -0500 Subject: [PATCH 04/61] Adding to the tutorial --- docs/intro-tutorial.rst | 84 +++++++- .../Tutorial-Boltzmann_Wealth_Model.ipynb | 17 +- .../Untitled.ipynb | 197 ++++++++++++++++++ 3 files changed, 283 insertions(+), 15 deletions(-) create mode 100644 examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index 42abc3c9aba..af7502920cd 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -97,18 +97,24 @@ With that in mind, the model code with the scheduler added looks like this: class MoneyModel(Model): """A model with some number of agents.""" def __init__(self, N): - self.num_agents = N - self.schedule = RandomActivation(self) - # Create agents - for i in range(self.num_agents): + self.num_agents = N + self.schedule = RandomActivation(self) + # Create agents + for i in range(self.num_agents): a = MoneyAgent(i) - self.schedule.add(self) + self.schedule.add(a) def step(self): '''Advance the model by one step.''' self.schedule.step() -At this point, we have a model which runs -- it just doesn't do anything. You can see for yourself with a few easy lines: +At this point, we have a model which runs -- it just doesn't do anything. You can see for yourself with a few easy lines. If you've been working in an interactive session, you can create a model object directly. Otherwise, you need to open an interactive session in the same directory as your source code file, and import the classes. For example, if your code is in ``MoneyModel.py``: + +.. code-block::python + + from MoneyModel import MoneyModel + +Then create the model object, and run it for one step: .. code-block:: python @@ -141,7 +147,7 @@ With that in mind, we rewrite the agent's ``step`` method, like this: Running your first model ~~~~~~~~~~~~~~~~~~~~~~~~~ -With that last piece in hand, it's time for the first rudimentary run of the model. Let's create a model with 10 agents, and run it for 10 steps. +With that last piece in hand, it's time for the first rudimentary run of the model. Let's create a model with 10 agents, and run it for 10 steps. .. code-block:: python @@ -149,6 +155,70 @@ With that last piece in hand, it's time for the first rudimentary run of the mod for i in range(10): model.step() +Now we need to get some data out of the model. Specifically, we want to see the distribution of the agent's wealth. We can get the wealth values with list comprehension, and then use matplotlib (or the graphics library of your choice) to visualize a histogram. + +.. code-block:: python + + agent_wealth = [a.wealth for a in model.schedule.agents] + plt.hist(agent_wealth) + + +You'll probably see something like the distribution shown below. Yours will almost certainly look at least slightly different, since each run of the model is random, after all. + +To get a better idea of how a model behaves, we can create multiple model runs, and see the distribution that emerges from all of them. We can do this with a nested for loop: + +.. code-block:: python + all_wealth = [] + for j in range(100): + # Run the model + model = MoneyModel(10) + for i in range(10): + model.step() + # Store the results + for agent in model.schedule.agents: + all_wealth.append(agent.wealth) + + plt.hist(all_wealth, bins=range(max(all_wealth)+1)) + +This runs 100 instantiations of the model, and runs each for 10 steps. (Notice that we set the histogram bins to be integers, since agents can only have whole numbers of wealth). This distribution looks a lot smoother. By running the model 100 times, we smooth out some of the 'noise' of randomness, and get to the model's overall expected behavior. + +This outcome might be surprising. Despite the fact that all agents, on average, give and receive one unit of money every step, the model converges to a state where most agents have a small amount of money and a small number have a lot of money. + +Adding space +~~~~~~~~~~~~~ + +Many ABMs have a spatial element, with agents moving around and interacting with nearby neighbors. Mesa currently supports two overall kinds of spaces: grid, and continuous. Grids are divided into cells, and agents can only be on a particular cell, like pieces on a chess board. Continuous space, in contrast, allows agents to have any arbitrary position. Both grids and continuous spaces are frequently toroidal, meaning that the edges wrap around, with cells on the right edge connected to those on the left edge, and the top to the bottom. This prevents some cells having fewer neighbors than others, or agents being able to go off the edge of the environment. + +Let's add a simple spatial element to our model: we'll have the agents live on a grid and walk around at random. Instead of giving their unit of money to any random agent, they'll give it to an agent on the same cell. + +Mesa has two main types of grids: ``SingleGrid`` and ``MultiGrid``. ``SingleGrid`` enforces at most one agent per cell; ``MultiGrid`` allows multiple agents to be in the same cell. Since we want agents to be able to share a cell, we use ``MultiGrid``. + +.. code-block:: python + + from mesa.space import MultiGrid + +We instantiate a grid with height and width parameters, and a boolean as to whether the grid is toriodal. Let's make width and height model parameters, in addition to the number of agents, and have the grid always be toriodal. We can place agents on a grid with the grid's ``place_agent`` method, which takes an agent and an (x, y) tuple of the coordinates to place the agent. + +.. code-block:: python + + class MoneyModel(Model): + """A model with some number of agents.""" + def __init__(self, N, width, height): + self.num_agents = N + self.grid = MultiGrid(height, width, True) + self.schedule = RandomActivation(self) + # Create agents + for i in range(self.num_agents): + a = MoneyAgent(i) + self.schedule.add(a) + # Add the agent to a random grid cell + x = random.randrange(self.grid.width) + y = random.randrange(self.grid.height) + self.grid.place_agent(a, (x, y)) + +Under the hood, each agent's position is stored in two ways: the agent is contained in the grid in the cell it is currently in, and the agent has a ``pos`` variable with an (x, y) coordinate tuple. The ``place_agent`` method adds the coordinate to the agent automatically. + +Now we need to add to the agents' behaviors, letting them move around and only give money to their cell-mates (as it were). ** THIS DOC IS IN PROGRESS ** diff --git a/examples/Tutorial-Boltzmann_Wealth_Model/Tutorial-Boltzmann_Wealth_Model.ipynb b/examples/Tutorial-Boltzmann_Wealth_Model/Tutorial-Boltzmann_Wealth_Model.ipynb index 8d4f790dd3e..eec41b278c2 100644 --- a/examples/Tutorial-Boltzmann_Wealth_Model/Tutorial-Boltzmann_Wealth_Model.ipynb +++ b/examples/Tutorial-Boltzmann_Wealth_Model/Tutorial-Boltzmann_Wealth_Model.ipynb @@ -337,14 +337,15 @@ }, "outputs": [ { - "data": { - "image/png": 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inline'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mwealth_grid\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmoney_model\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrid\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwidth\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmoney_model\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrid\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mheight\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mImportError\u001b[0m: No module named 'matplotlib'" + ] } ], "source": [ diff --git a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb new file mode 100644 index 00000000000..1aaa1648b28 --- /dev/null +++ b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb @@ -0,0 +1,197 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import random\n", + "from mesa import Model, Agent\n", + "from mesa.time import RandomActivation\n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "class MoneyAgent(Agent):\n", + " \"\"\" An agent with fixed initial wealth.\"\"\"\n", + " def __init__(self, unique_id):\n", + " self.unique_id = unique_id\n", + " self.wealth = 1\n", + " \n", + " def step(self, model):\n", + " if self.wealth == 0:\n", + " return\n", + " other_agent = random.choice(model.schedule.agents)\n", + " other_agent.wealth += 1\n", + " self.wealth -= 1\n", + "\n", + "class MoneyModel(Model):\n", + " \"\"\"A model with some number of agents.\"\"\"\n", + " def __init__(self, N):\n", + " self.num_agents = N\n", + " self.schedule = RandomActivation(self)\n", + " # Create agents\n", + " for i in range(self.num_agents):\n", + " a = MoneyAgent(i)\n", + " self.schedule.add(a)\n", + "\n", + " def step(self):\n", + " self.schedule.step()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "empty_model = MoneyModel(10)\n", + "empty_model.step()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "model = MoneyModel(10)\n", + "for i in range(10):\n", + " model.step()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 5., 0., 0., 2., 0., 0., 1., 0., 0., 2.]),\n", + " array([ 0. , 0.3, 0.6, 0.9, 1.2, 1.5, 1.8, 2.1, 2.4, 2.7, 3. ]),\n", + " )" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "agent_wealth = [a.wealth for a in model.schedule.agents]\n", + "plt.hist(agent_wealth)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 440., 293., 152., 74., 27., 14.]),\n", + " array([0, 1, 2, 3, 4, 5, 6]),\n", + " )" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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1t78OD6xp9/oAQuvXV1UZdxXS2ZLUoO9N7yGXpIYY6pLUEENdkhpiqEtSQwx1SWqIoS5J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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "all_wealth = []\n", + "for j in range(100):\n", + " # Run the model\n", + " model = MoneyModel(10)\n", + " for i in range(10):\n", + " model.step()\n", + " # Store the results\n", + " for agent in model.schedule.agents:\n", + " all_wealth.append(agent.wealth)\n", + "plt.hist(all_wealth, bins=range(max(all_wealth)+1))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.4.2" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} From 7a56cd0544122e614d7304a7cdd6e6761f6d5adf Mon Sep 17 00:00:00 2001 From: David Masad Date: Thu, 5 Nov 2015 15:58:10 -0500 Subject: [PATCH 05/61] More tutorial writing --- docs/intro-tutorial.rst | 124 +++++++++++++++- .../Untitled.ipynb | 140 ++++++++++++++++++ 2 files changed, 263 insertions(+), 1 deletion(-) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index af7502920cd..fc1e5a2234a 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -168,6 +168,7 @@ You'll probably see something like the distribution shown below. Yours will almo To get a better idea of how a model behaves, we can create multiple model runs, and see the distribution that emerges from all of them. We can do this with a nested for loop: .. code-block:: python + all_wealth = [] for j in range(100): # Run the model @@ -218,7 +219,128 @@ We instantiate a grid with height and width parameters, and a boolean as to whet Under the hood, each agent's position is stored in two ways: the agent is contained in the grid in the cell it is currently in, and the agent has a ``pos`` variable with an (x, y) coordinate tuple. The ``place_agent`` method adds the coordinate to the agent automatically. -Now we need to add to the agents' behaviors, letting them move around and only give money to their cell-mates (as it were). +Now we need to add to the agents' behaviors, letting them move around and only give money to their cell-mates (as it were). + +First let's handle movement, and have the agents move to a neighboring cell. The grid object provides a ``move_agent`` method, which like you'd imagine, moves an agent to a given cell. That still leaves us to get the possible neighboring cells to move to. There are a couple ways to do this. One is to use the current coordinates, and loop over all coordinates +/- 1 away from it. For example: + +.. code-block:: python + + neighbors = [] + x, y = self.pos + for dx in [-1, 0, 1]: + for dy in [-1, 0, 1]: + neighbors.append((x+dx, y+dy)) + +But there's an even simpler way, using the grid's built-in ``get_neighborhood`` method, which returns all the neighbors of a given cell. This method can get two types of cell neighborhoods: Moore (including diagonals), and Von Neumann (only up/down/left/right). It also needs an argument as to whether to include the center cell itself as one of the neighbors. + +With that in mind, the agent's ``move`` method looks like this: + +.. code-block:: python + + class MoneyAgent(Agent): + #... + def move(self, model): + possible_steps = model.grid.get_neighborhood(self.pos, moore=True, include_center=False) + new_position = random.choice(possible_steps) + model.grid.move_agent(self, new_position) + + +Next, we need to get all the other agents present in a cell, and give one of them some money. We can get the contents of one or more cells using the grid's ``get_cell_list_contents`` method, or by accessing a cell directly. The method currently requires a list of cells (TODO: someone should probably fix that...), even if we only care about one cell. + + +.. code-block:: python + + class MoneyAgent(Agent): + #... + def give_money(self, model): + cellmates = model.grid.get_cell_list_contents([self.pos]) + if len(cellmates) > 1: + other = random.choice(cellmates) + other.wealth += 1 + self.wealth -= 1 + +And with those two methods, the agent's ``step`` method becomes: + +.. code-block:: python + + class MoneyAgent(Agent): + def step(self, model): + self.move(model) + if self.wealth > 0: + self.give_money(model) + +Now, putting that all together should look like this: + +.. code-block:: python + + class MoneyModel(Model): + """A model with some number of agents.""" + def __init__(self, N, width, height): + self.num_agents = N + self.grid = MultiGrid(height, width, True) + self.schedule = RandomActivation(self) + # Create agents + for i in range(self.num_agents): + a = MoneyAgent(i) + self.schedule.add(a) + # Add the agent to a random grid cell + x = random.randrange(self.grid.width) + y = random.randrange(self.grid.height) + self.grid.place_agent(a, (x, y)) + + def step(self): + self.schedule.step() + + class MoneyAgent(Agent): + """ An agent with fixed initial wealth.""" + def __init__(self, unique_id): + self.unique_id = unique_id + self.wealth = 1 + + def move(self, model): + possible_steps = model.grid.get_neighborhood(self.pos, moore=True, include_center=False) + new_position = random.choice(possible_steps) + model.grid.move_agent(self, new_position) + + def give_money(self, model): + cellmates = model.grid.get_cell_list_contents([self.pos]) + if len(cellmates) > 1: + other = random.choice(cellmates) + other.wealth += 1 + self.wealth -= 1 + + def step(self, model): + self.move(model) + if self.wealth > 0: + self.give_money(model) + + + +Let's create a model with 50 agents on a 10x10 grid, and run it for 20 steps. + +.. code-block:: python + + model = MoneyModel(50, 10, 10) + for i in range(20): + model.step() + +Now let's use matplotlib and numpy to visualize the number of agents residing in each cell. To do that, we create a numpy array of the same size as the grid, filled with zeros. Then we use the grid object's ``coord_iter()`` feature, which lets us loop over every cell in the grid, giving us each cell's coordinates and contents in turn. + +.. code-block:: python + + wealth_grid = np.zeros((model.grid.width, model.grid.height)) + for cell in model.grid.coord_iter(): + cell_content, x, y = cell + #cell_wealth = sum(a.wealth for a in cell_content) + cell_wealth = len(cell_content) + wealth_grid[y][x] = cell_wealth + plt.imshow(wealth_grid, interpolation='nearest') + plt.colorbar() + + +Collecting Data +~~~~~~~~~~~~~~~~~ + ** THIS DOC IS IN PROGRESS ** diff --git a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb index 1aaa1648b28..bf4f62b0a7f 100644 --- a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb +++ b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb @@ -163,6 +163,146 @@ "plt.hist(all_wealth, bins=range(max(all_wealth)+1))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Adding space" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from mesa.space import MultiGrid" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "class MoneyModel(Model):\n", + " \"\"\"A model with some number of agents.\"\"\"\n", + " def __init__(self, N, width, height):\n", + " self.num_agents = N\n", + " self.grid = MultiGrid(height, width, True)\n", + " self.schedule = RandomActivation(self)\n", + " # Create agents\n", + " for i in range(self.num_agents):\n", + " a = MoneyAgent(i)\n", + " self.schedule.add(a)\n", + " # Add the agent to a random grid cell\n", + " x = random.randrange(self.grid.width)\n", + " y = random.randrange(self.grid.height)\n", + " self.grid.place_agent(a, (x, y))\n", + "\n", + " def step(self):\n", + " self.schedule.step()" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "class MoneyAgent(Agent):\n", + " \"\"\" An agent with fixed initial wealth.\"\"\"\n", + " def __init__(self, unique_id):\n", + " self.unique_id = unique_id\n", + " self.wealth = 1\n", + " \n", + " def move(self, model):\n", + " possible_steps = model.grid.get_neighborhood(self.pos, moore=True, include_center=False)\n", + " new_position = random.choice(possible_steps)\n", + " model.grid.move_agent(self, new_position)\n", + "\n", + " def give_money(self, model):\n", + " cellmates = model.grid.get_cell_list_contents([self.pos])\n", + " if len(cellmates) > 1:\n", + " other = random.choice(cellmates)\n", + " other.wealth += 1\n", + " self.wealth -= 1\n", + "\n", + " def step(self, model):\n", + " self.move(model)\n", + " if self.wealth > 0:\n", + " self.give_money(model)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "model = MoneyModel(50, 10, 10)\n", + "for i in range(20):\n", + " model.step()" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "wealth_grid = np.zeros((model.grid.width, model.grid.height))\n", + "for cell in model.grid.coord_iter():\n", + " cell_content, x, y = cell\n", + " #cell_wealth = sum(a.wealth for a in cell_content) \n", + " cell_wealth = len(cell_content)\n", + " wealth_grid[y][x] = cell_wealth\n", + "plt.imshow(wealth_grid, interpolation='nearest')\n", + "plt.colorbar()" + ] + }, { "cell_type": "code", "execution_count": null, From c7f4a0628f84462c4b9e096525caf3c0610a300c Mon Sep 17 00:00:00 2001 From: David Masad Date: Thu, 5 Nov 2015 20:07:01 -0500 Subject: [PATCH 06/61] More tutorial writing --- docs/intro-tutorial.rst | 71 +++++ .../Untitled.ipynb | 265 ++++++++++++++++++ 2 files changed, 336 insertions(+) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index fc1e5a2234a..2f0f26bb6b4 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -341,6 +341,77 @@ Now let's use matplotlib and numpy to visualize the number of agents residing in Collecting Data ~~~~~~~~~~~~~~~~~ +So far, at the end of every model run, we've had to go and write our own code to get the data out of the model. This works, but has two problems: it isn't very efficient, and it only gives us end results. If we wanted to know the wealth of each agent at each step, for example, we'd have to add that to the loop of executing steps, and figure out some way to store the data. + +Since one of the main goals of agent-based modeling is generating data for analysis, Mesa provides a class which can handle data collection and storage for us and make it easier to analyze. + +The data collector stores three categories of data: model-level variables, agent-level variables, and tables (which are a catch-all for everything else). Model- and agent-level variables are added to the data collector along with a function for collecting them. Model-level collection functions take a model object as an input, while agent-level collection functions take an agent object as an input. Both then return a value computed from the model or each agent at their current state. When the data collector’s ``collect`` method is called, with a model object as its argument, it applies each model-level collection function to the model, and stores the results in a dictionary, associating the current value with the current step of the model. Similarly, the method applies each agent-level collection function to each agent currently in the schedule, associating the resulting value with the step of the model, and the agent’s ``unique_id``. + +Let's add a DataCollector to the model, and collect two variables. At the agent level, we want to collect every agent's wealth at every step. At the model level, let's measure the model's `Gini Coefficient `_, a measure of wealth inequality. + +.. code-block:: python + + from mesa.datacollection import DataCollector + + def compute_gini(model): + agent_wealths = [agent.wealth for agent in model.schedule.agents] + x = sorted(agent_wealths) + N = model.num_agents + B = sum( xi * (N-i) for i,xi in enumerate(x) ) / (N*sum(x)) + return (1 + (1/N) - 2*B) + + # ... + class MoneyModel(Model): + def __init__(self, N, width, height): + # ... + self.datacollector = DataCollector(model_reporters={"Gini": compute_gini}, + agent_reporters={"Wealth": lambda a: a.wealth}) + + def step(self): + self.datacollector.collect(self) + self.schedule.step() + +At every step of the model, the datacollector will collect and store the model-level current Gini coefficient, as well as each agent's wealth, associating each with the current step. + +We run the model just as we did above. Now is when an interactive session, especially via a Notebook, comes in handy: the DataCollector can export the data it's collected as a pandas DataFrame, for easy interactive analysis. + +.. code-block:: python + + model = MoneyModel(50, 10, 10) + for i in range(100): + model.step() + +To get the series of Gini coefficients as a pandas DataFrame: + +.. code-block:: python + + gini = model.datacollector.get_model_vars_dataframe() + gini.plot() + +Similarly, we can get the agent-wealth data: + +.. code-block:: python + + agent_wealth = model.datacollector.get_agent_vars_dataframe() + agent_wealth.head() + + +You'll see that the DataFrame's index is pairs of model step and agent ID. You can analyze it the way you would any other DataFrame. For example, to get a histogram of agent wealth at the model's end: + +.. code-block:: python + + end_wealth = agent_wealth.xs(19, level="Step")["Wealth"] + end_wealth.hist(bins=range(agent_wealth.Wealth.max()+1)) + + +Or to plot the wealth of a given agent (in this example, agent 14): + +.. code-block:: python + + one_agent_wealth = agent_wealth.xs(14, level="AgentID") + one_agent_wealth.Wealth.plot() + + ** THIS DOC IS IN PROGRESS ** diff --git a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb index bf4f62b0a7f..0a4a601212c 100644 --- a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb +++ b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb @@ -303,6 +303,271 @@ "plt.colorbar()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Adding a data collector" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from mesa.datacollection import DataCollector" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def compute_gini(model):\n", + " agent_wealths = [agent.wealth for agent in model.schedule.agents]\n", + " x = sorted(agent_wealths)\n", + " N = model.num_agents\n", + " B = sum( xi * (N-i) for i,xi in enumerate(x) ) / (N*sum(x))\n", + " return (1 + (1/N) - 2*B)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "class MoneyModel(Model):\n", + " \"\"\"A model with some number of agents.\"\"\"\n", + " def __init__(self, N, width, height):\n", + " self.num_agents = N\n", + " self.grid = MultiGrid(height, width, True)\n", + " self.schedule = RandomActivation(self)\n", + " self.datacollector = DataCollector(model_reporters={\"Gini\": compute_gini},\n", + " agent_reporters={\"Wealth\": lambda a: a.wealth})\n", + " # Create agents\n", + " for i in range(self.num_agents):\n", + " a = MoneyAgent(i)\n", + " self.schedule.add(a)\n", + " # Add the agent to a random grid cell\n", + " x = random.randrange(self.grid.width)\n", + " y = random.randrange(self.grid.height)\n", + " self.grid.place_agent(a, (x, y))\n", + "\n", + " def step(self):\n", + " self.datacollector.collect(self)\n", + " self.schedule.step()" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "model = MoneyModel(50, 10, 10)\n", + "for i in range(100):\n", + " model.step()" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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Specifically, we want to see the You'll probably see something like the distribution shown below. Yours will almost certainly look at least slightly different, since each run of the model is random, after all. +.. image:: images/tutorial/first_hist.png + :width: 100% + :scale: 100% + :alt: Histogram of agent wealths after 10 steps. + + To get a better idea of how a model behaves, we can create multiple model runs, and see the distribution that emerges from all of them. We can do this with a nested for loop: .. code-block:: python @@ -411,7 +417,44 @@ Or to plot the wealth of a given agent (in this example, agent 14): one_agent_wealth = agent_wealth.xs(14, level="AgentID") one_agent_wealth.Wealth.plot() +Batch Run +~~~~~~~~~~~ + +Like we mentioned above, you usually won't run a model only once, but multiple times: with fixed parameters to find the overall distributions the model generates, and with varying parameters to analyze how they drive the model's outputs and behaviors. Instead of needing to write nested for-loops for each model, Mesa provides a BatchRunner class which automates it for you. + +.. code-block:: python + + from mesa.batchrunner import BatchRunner + +We instantiate a BatchRunner with a model class to run, and a dictionary mapping parameters to values for them to take. If any of these parameters are assigned more than one value, as a list or an iterator, the BatchRunner will know to run all the combinations of these values and the other ones. The BatchRunner also takes an argument for how many model instantiations to create and run at each combination of parameter values, and how many steps to run each instantiation for. Finally, like the DataCollector, it takes dictionaries of model- and agent-level reporters to collect. Unlike the DataCollector, it won't collect the data every step of the model, but only at the end of each run. + +In the following example, we hold the height and width fixed, and vary the number of agents. We tell the BatchRunner to run 5 instantiations of the model with each number of agents, and to run each for 100 steps. We have it collect the final Gini coefficient value. + +One more thing: batch runners need a way to tell if the model hits some end conditions before the maximum number of steps is reached. To do that, it uses the model's ``running`` variable. In this case, the model has no termination condition, so just add a line to the ``MoneyModel`` constructor: + +.. code-block:: python + + self.running = True + + +Now, we can set up and run the BatchRunner: + +.. code-block:: python + + parameters = {"height": 10, "width": 10, "N": range(10, 500, 10)} + + batch_run = BatchRunner(MoneyModel, parameters, iterations=5, max_steps=100, + model_reporters={"Gini": compute_gini}) + batch_run.run_all() + +Like the DataCollector, we can extract the data we collected as a DataFrame. Notice that each row is a model run, and gives us the parameter values associated with that run. We can use this data to view a scatter-plot comparing the number of agents to the final Gini. + + + + +Adding visualization +--------------------------- ** THIS DOC IS IN PROGRESS ** diff --git a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb index 0a4a601212c..28a32eec20d 100644 --- a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb +++ b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb @@ -2,7 +2,26 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Basic Model" + ] + }, + { + "cell_type": "code", + "execution_count": 1, "metadata": { "collapsed": true }, @@ -15,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -50,7 +69,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -62,19 +81,7 @@ }, { "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "import matplotlib.pyplot as plt\n", - "%matplotlib inline" - ] - }, - { - "cell_type": "code", - "execution_count": 32, + "execution_count": 7, "metadata": { "collapsed": true }, @@ -87,7 +94,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 8, "metadata": { "collapsed": false }, @@ -95,20 +102,20 @@ { "data": { "text/plain": [ - "(array([ 5., 0., 0., 2., 0., 0., 1., 0., 0., 2.]),\n", - " array([ 0. , 0.3, 0.6, 0.9, 1.2, 1.5, 1.8, 2.1, 2.4, 2.7, 3. ]),\n", + "(array([ 5., 0., 3., 0., 1., 0., 0., 0., 0., 1.]),\n", + " array([ 0. , 0.5, 1. , 1.5, 2. , 2.5, 3. , 3.5, 4. , 4.5, 5. ]),\n", "
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10)}\n", + "\n", + "batch_run = BatchRunner(MoneyModel, parameters, iterations=5, max_steps=100, \n", + " model_reporters={\"Gini\": compute_gini})\n", + "batch_run.run_all()" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "run_data = batch_run.get_model_vars_dataframe()" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], "text/plain": [ - "" + " Gini\n", + "0 0.0000\n", + "1 0.2408\n", + "2 0.2952\n", + "3 0.4312\n", + "4 0.4984" ] }, - "execution_count": 83, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gini = model.datacollector.get_model_vars_dataframe()\n", + "gini.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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kpZLukzR7gONeL+l5SW8fbCMkXgCMAf482K81M+tFA9a8JY0C7gWmAY8ANwMz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\n", 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wCngNeBIY6+5zS2x3P/AP4AZ3v6PEvqqpeb8HDHbn3a6+ERGRVlRrzXsYsMDd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\nhJS8RUSa0P8HPNbElhlQiNMAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -417,24 +479,12 @@ } ], "source": [ - "gini = model.datacollector.get_model_vars_dataframe()\n", "gini.plot()" ] }, { "cell_type": "code", - "execution_count": 84, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "agent_wealth = model.datacollector.get_agent_vars_dataframe()" - ] - }, - { - "cell_type": "code", - "execution_count": 85, + "execution_count": 30, "metadata": { "collapsed": false }, @@ -492,18 +542,19 @@ " 4 1" ] }, - "execution_count": 85, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ + "agent_wealth = model.datacollector.get_agent_vars_dataframe()\n", "agent_wealth.head()" ] }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 31, "metadata": { "collapsed": false }, @@ -511,18 +562,18 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 86, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -530,12 +581,13 @@ } ], "source": [ - "agent_wealth.xs(19, level=\"Step\")[\"Wealth\"].hist(bins=range(agent_wealth.Wealth.max()+1))" + "end_wealth = agent_wealth.xs(99, level=\"Step\")[\"Wealth\"]\n", + "end_wealth.hist(bins=range(agent_wealth.Wealth.max()+1))" ] }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 32, "metadata": { "collapsed": true }, @@ -546,7 +598,7 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 33, "metadata": { "collapsed": false }, @@ -554,18 +606,18 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 88, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, From 79bdb2b0fbcfbce7bbf438c8c946b094fc1ae2d9 Mon Sep 17 00:00:00 2001 From: David Masad Date: Thu, 5 Nov 2015 23:27:06 -0500 Subject: [PATCH 09/61] Edit --- docs/intro-tutorial.rst | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index 86231d261e2..82c86feee54 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -169,7 +169,7 @@ You'll probably see something like the distribution shown below. Yours will almo :width: 100% :scale: 100% :alt: Histogram of agent wealths after 10 steps. - :aligh: center + :align: center To get a better idea of how a model behaves, we can create multiple model runs, and see the distribution that emerges from all of them. We can do this with a nested for loop: @@ -192,7 +192,7 @@ To get a better idea of how a model behaves, we can create multiple model runs, :width: 100% :scale: 100% :alt: Histogram of agent wealths after 10 steps, from 100 model runs. - :aligh: center + :align: center This runs 100 instantiations of the model, and runs each for 10 steps. (Notice that we set the histogram bins to be integers, since agents can only have whole numbers of wealth). This distribution looks a lot smoother. By running the model 100 times, we smooth out some of the 'noise' of randomness, and get to the model's overall expected behavior. @@ -354,7 +354,7 @@ Now let's use matplotlib and numpy to visualize the number of agents residing in :width: 100% :scale: 100% :alt: Agents per cell - :aligh: center + :align: center Collecting Data @@ -411,7 +411,7 @@ To get the series of Gini coefficients as a pandas DataFrame: :width: 100% :scale: 100% :alt: Model-level variable collected - :aligh: center + :align: center Similarly, we can get the agent-wealth data: @@ -440,12 +440,12 @@ Or to plot the wealth of a given agent (in this example, agent 14): .. image:: images/tutorial/dc_endwealth.png :width: 50% :alt: Model-level variable collected - :aligh: center + :align: center .. image:: images/tutorial/dc_oneagent.png :width: 50% :alt: Model-level variable collected - :aligh: center + :align: center Batch Run ~~~~~~~~~~~ From f358dfd2b60d6b013ebcb30fa5d303f29c2731e3 Mon Sep 17 00:00:00 2001 From: David Masad Date: Thu, 5 Nov 2015 23:28:25 -0500 Subject: [PATCH 10/61] tweak --- docs/intro-tutorial.rst | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index 82c86feee54..39ddb00b819 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -436,14 +436,16 @@ Or to plot the wealth of a given agent (in this example, agent 14): one_agent_wealth = agent_wealth.xs(14, level="AgentID") one_agent_wealth.Wealth.plot() - .. image:: images/tutorial/dc_endwealth.png :width: 50% + :scale: 50% :alt: Model-level variable collected :align: center + .. image:: images/tutorial/dc_oneagent.png :width: 50% + :scale: 50% :alt: Model-level variable collected :align: center From d48fd9bd0b56c84e78b6816efc9d7aa2cee7e79d Mon Sep 17 00:00:00 2001 From: David Masad Date: Thu, 5 Nov 2015 23:29:38 -0500 Subject: [PATCH 11/61] tweak --- docs/intro-tutorial.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index 39ddb00b819..a76cd6f62e6 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -409,7 +409,7 @@ To get the series of Gini coefficients as a pandas DataFrame: .. image:: images/tutorial/dc_gini.png :width: 100% - :scale: 100% + :scale: 50% :alt: Model-level variable collected :align: center From ac4c4528be1d128d204540280c49405b73f50ec1 Mon Sep 17 00:00:00 2001 From: David Masad Date: Thu, 5 Nov 2015 23:37:45 -0500 Subject: [PATCH 12/61] Some more graphics --- docs/images/tutorial/br_ginis.png | Bin 0 -> 162931 bytes docs/images/tutorial/dc_endwealth.png | Bin 82911 -> 105856 bytes docs/images/tutorial/dc_oneagent.png | Bin 137582 -> 82335 bytes docs/intro-tutorial.rst | 19 +++-- .../Untitled.ipynb | 74 ++++++++---------- 5 files changed, 44 insertions(+), 49 deletions(-) create mode 100644 docs/images/tutorial/br_ginis.png diff --git a/docs/images/tutorial/br_ginis.png b/docs/images/tutorial/br_ginis.png new file 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" + ], + "text/plain": [ + " Wealth\n", + "Step AgentID \n", + "0 0 1\n", + " 1 1\n", + " 2 1\n", + " 3 1\n", + " 4 1" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "agent_wealth = model.datacollector.get_agent_vars_dataframe()\n", + "agent_wealth.head()" ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "end_wealth = agent_wealth.xs(19, level=\"Step\")[\"Wealth\"]\n", + "end_wealth.hist(bins=range(agent_wealth.Wealth.max()+1))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "one_agent_wealth = agent_wealth.xs(14, level=\"AgentID\")\n", + "one_agent_wealth.Wealth.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from mesa.batchrunner import BatchRunner" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "parameters = {\"height\": 10, \"width\": 10, \"N\": range(10, 500, 10)}\n", + "\n", + "batch_run = BatchRunner(MoneyModel, parameters, iterations=5, max_steps=100,\n", + " model_reporters={\"Gini\": compute_gini})\n", + "batch_run.run_all()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "run_data = batch_run.get_model_vars_dataframe()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] } ], "metadata": { From f3599d2234d56833d99a4ab26cb2e1377f01f397 Mon Sep 17 00:00:00 2001 From: David Masad Date: Fri, 6 Nov 2015 09:37:07 -0500 Subject: [PATCH 16/61] accidentally a space --- docs/intro-tutorial.rst | 1 + 1 file changed, 1 insertion(+) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index 15ce170b1df..f3ca0f4787e 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -486,6 +486,7 @@ Now, we can set up and run the BatchRunner: Like the DataCollector, we can extract the data we collected as a DataFrame. .. code-block:: python + run_data = batch_run.get_model_vars_dataframe() run_data.head() plt.scatter(run_data.N, run_data.Gini) From 6bda4f4e1b26a0f5c4d08444fda54384aba292cc Mon Sep 17 00:00:00 2001 From: David Masad Date: Fri, 6 Nov 2015 09:40:44 -0500 Subject: [PATCH 17/61] Cleanup --- .../Untitled.ipynb | 815 ------------------ .../Untitled1.ipynb | 588 ------------- 2 files changed, 1403 deletions(-) delete mode 100644 examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb delete mode 100644 examples/Tutorial-Boltzmann_Wealth_Model/Untitled1.ipynb diff --git a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb deleted file mode 100644 index 13c36265a3e..00000000000 --- a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb +++ /dev/null @@ -1,815 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "import matplotlib.pyplot as plt\n", - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Basic Model" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "import random\n", - "from mesa import Model, Agent\n", - "from mesa.time import RandomActivation\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "class MoneyAgent(Agent):\n", - " \"\"\" An agent with fixed initial wealth.\"\"\"\n", - " def __init__(self, unique_id):\n", - " self.unique_id = unique_id\n", - " self.wealth = 1\n", - " \n", - " def step(self, model):\n", - " if self.wealth == 0:\n", - " return\n", - " other_agent = random.choice(model.schedule.agents)\n", - " other_agent.wealth += 1\n", - " self.wealth -= 1\n", - "\n", - "class MoneyModel(Model):\n", - " \"\"\"A model with some number of agents.\"\"\"\n", - " def __init__(self, N):\n", - " self.num_agents = N\n", - " self.schedule = RandomActivation(self)\n", - " # Create agents\n", - " for i in range(self.num_agents):\n", - " a = MoneyAgent(i)\n", - " self.schedule.add(a)\n", - "\n", - " def step(self):\n", - " self.schedule.step()" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "empty_model = MoneyModel(10)\n", - "empty_model.step()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "model = MoneyModel(10)\n", - "for i in range(10):\n", - " model.step()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(array([ 5., 0., 3., 0., 1., 0., 0., 0., 0., 1.]),\n", - " array([ 0. , 0.5, 1. , 1.5, 2. , 2.5, 3. , 3.5, 4. , 4.5, 5. ]),\n", - " )" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "agent_wealth = [a.wealth for a in model.schedule.agents]\n", - "plt.hist(agent_wealth)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "all_wealth = []\n", - "for j in range(100):\n", - " # Run the model\n", - " model = MoneyModel(10)\n", - " for i in range(10):\n", - " model.step()\n", - " # Store the results\n", - " for agent in model.schedule.agents:\n", - " all_wealth.append(agent.wealth)\n", - "plt.hist(all_wealth, bins=range(max(all_wealth)+1))\n", - "plt.xlabel(\"Wealth\")\n", - "plt.ylabel(\"# of Agents\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Adding space" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from mesa.space import MultiGrid" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "class MoneyModel(Model):\n", - " \"\"\"A model with some number of agents.\"\"\"\n", - " def __init__(self, N, width, height):\n", - " self.num_agents = N\n", - " self.grid = MultiGrid(height, width, True)\n", - " self.schedule = RandomActivation(self)\n", - " # Create agents\n", - " for i in range(self.num_agents):\n", - " a = MoneyAgent(i)\n", - " self.schedule.add(a)\n", - " # Add the agent to a random grid cell\n", - " x = random.randrange(self.grid.width)\n", - " y = random.randrange(self.grid.height)\n", - " self.grid.place_agent(a, (x, y))\n", - "\n", - " def step(self):\n", - " self.schedule.step()" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "class MoneyAgent(Agent):\n", - " \"\"\" An agent with fixed initial wealth.\"\"\"\n", - " def __init__(self, unique_id):\n", - " self.unique_id = unique_id\n", - " self.wealth = 1\n", - " \n", - " def move(self, model):\n", - " possible_steps = model.grid.get_neighborhood(self.pos, moore=True, include_center=False)\n", - " new_position = random.choice(possible_steps)\n", - " model.grid.move_agent(self, new_position)\n", - "\n", - " def give_money(self, model):\n", - " cellmates = model.grid.get_cell_list_contents([self.pos])\n", - " if len(cellmates) > 1:\n", - " other = random.choice(cellmates)\n", - " other.wealth += 1\n", - " self.wealth -= 1\n", - "\n", - " def step(self, model):\n", - " self.move(model)\n", - " if self.wealth > 0:\n", - " self.give_money(model)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "model = MoneyModel(50, 10, 10)\n", - "for i in range(20):\n", - " model.step()" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "import numpy as np" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "wealth_grid = np.zeros((model.grid.width, model.grid.height))\n", - "for cell in model.grid.coord_iter():\n", - " cell_content, x, y = cell\n", - " #cell_wealth = sum(a.wealth for a in cell_content) \n", - " cell_wealth = len(cell_content)\n", - " wealth_grid[y][x] = cell_wealth\n", - "plt.imshow(wealth_grid, interpolation='nearest')\n", - "plt.colorbar()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Adding a data collector" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from mesa.datacollection import DataCollector" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def compute_gini(model):\n", - " agent_wealths = [agent.wealth for agent in model.schedule.agents]\n", - " x = sorted(agent_wealths)\n", - " N = model.num_agents\n", - " B = sum( xi * (N-i) for i,xi in enumerate(x) ) / (N*sum(x))\n", - " return (1 + (1/N) - 2*B)" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "class MoneyModel(Model):\n", - " \"\"\"A model with some number of agents.\"\"\"\n", - " def __init__(self, N, width, height):\n", - " self.running = True\n", - " self.num_agents = N\n", - " self.grid = MultiGrid(height, width, True)\n", - " self.schedule = RandomActivation(self)\n", - " self.datacollector = DataCollector(model_reporters={\"Gini\": compute_gini},\n", - " agent_reporters={\"Wealth\": lambda a: a.wealth})\n", - " # Create agents\n", - " for i in range(self.num_agents):\n", - " a = MoneyAgent(i)\n", - " self.schedule.add(a)\n", - " # Add the agent to a random grid cell\n", - " x = random.randrange(self.grid.width)\n", - " y = random.randrange(self.grid.height)\n", - " self.grid.place_agent(a, (x, y))\n", - "\n", - " def step(self):\n", - " self.datacollector.collect(self)\n", - " self.schedule.step()" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "model = MoneyModel(50, 10, 10)\n", - "for i in range(100):\n", - " model.step()" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/html": [ - "
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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "end_wealth = agent_wealth.xs(99, level=\"Step\")[\"Wealth\"]\n", - "end_wealth.hist(bins=range(agent_wealth.Wealth.max()+1))" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "one_agent_wealth = agent_wealth.xs(14, level=\"AgentID\")" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 33, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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" - ], - "text/plain": [ - " Gini N Run height width\n", - "0 0.656133 320 155 10 10\n", - "1 0.657208 350 171 10 10\n", - "2 0.588437 80 36 10 10\n", - "3 0.649386 310 150 10 10\n", - "4 0.716562 80 39 10 10" - ] - }, - "execution_count": 39, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "run_data = batch_run.get_model_vars_dataframe()\n", - "run_data.head()" - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 40, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.scatter(run_data.N, run_data.Gini)\n", - "plt.xlabel(\"Number of agents\")\n", - "plt.ylabel(\"Gini Coefficient\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.4.2" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled1.ipynb b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled1.ipynb deleted file mode 100644 index 0a5aaae9335..00000000000 --- a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled1.ipynb +++ /dev/null @@ -1,588 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from mesa import Agent, Model\n", - "from mesa.time import RandomActivation\n", - "import random" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "class MoneyAgent(Agent):\n", - " \"\"\" An agent with fixed initial wealth.\"\"\"\n", - " def __init__(self, unique_id):\n", - " self.unique_id = unique_id\n", - " self.wealth = 1\n", - "\n", - " def step(self, model):\n", - " if self.wealth == 0:\n", - " return\n", - " other_agent = random.choice(model.schedule.agents)\n", - " other_agent.wealth += 1\n", - " self.wealth -= 1\n", - "\n", - "class MoneyModel(Model):\n", - " \"\"\"A model with some number of agents.\"\"\"\n", - " def __init__(self, N):\n", - " self.num_agents = N\n", - " self.schedule = RandomActivation(self)\n", - " # Create agents\n", - " for i in range(self.num_agents):\n", - " a = MoneyAgent(i)\n", - " self.schedule.add(a)\n", - "\n", - " def step(self):\n", - " '''Advance the model by one step.'''\n", - " self.schedule.step()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "model = MoneyModel(10)\n", - "for i in range(10):\n", - " model.step()" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "import matplotlib.pyplot as plt\n", - "%matplotlib inline" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(array([ 4., 0., 0., 3., 0., 0., 2., 0., 0., 1.]),\n", - " array([ 0. , 0.3, 0.6, 0.9, 1.2, 1.5, 1.8, 2.1, 2.4, 2.7, 3. ]),\n", - "
)" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "agent_wealth = [a.wealth for a in model.schedule.agents]\n", - "plt.hist(agent_wealth)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(array([ 434., 302., 150., 73., 32., 9.]),\n", - " array([0, 1, 2, 3, 4, 5, 6]),\n", - " )" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "all_wealth = []\n", - "for j in range(100):\n", - " # Run the model\n", - " model = MoneyModel(10)\n", - " for i in range(10):\n", - " model.step()\n", - " # Store the results\n", - " for agent in model.schedule.agents:\n", - " all_wealth.append(agent.wealth)\n", - "\n", - "plt.hist(all_wealth, bins=range(max(all_wealth)+1))" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from mesa.space import MultiGrid" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "class MoneyModel(Model):\n", - " \"\"\"A model with some number of agents.\"\"\"\n", - " def __init__(self, N, width, height):\n", - " self.num_agents = N\n", - " self.grid = MultiGrid(height, width, True)\n", - " self.schedule = RandomActivation(self)\n", - " # Create agents\n", - " for i in range(self.num_agents):\n", - " a = MoneyAgent(i)\n", - " self.schedule.add(a)\n", - " # Add the agent to a random grid cell\n", - " x = random.randrange(self.grid.width)\n", - " y = random.randrange(self.grid.height)\n", - " self.grid.place_agent(a, (x, y))\n", - "\n", - " def step(self):\n", - " self.schedule.step()\n", - "\n", - "class MoneyAgent(Agent):\n", - " \"\"\" An agent with fixed initial wealth.\"\"\"\n", - " def __init__(self, unique_id):\n", - " self.unique_id = unique_id\n", - " self.wealth = 1\n", - "\n", - " def move(self, model):\n", - " possible_steps = model.grid.get_neighborhood(self.pos, moore=True, include_center=False)\n", - " new_position = random.choice(possible_steps)\n", - " model.grid.move_agent(self, new_position)\n", - "\n", - " def give_money(self, model):\n", - " cellmates = model.grid.get_cell_list_contents([self.pos])\n", - " if len(cellmates) > 1:\n", - " other = random.choice(cellmates)\n", - " other.wealth += 1\n", - " self.wealth -= 1\n", - "\n", - " def step(self, model):\n", - " self.move(model)\n", - " if self.wealth > 0:\n", - " self.give_money(model)" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "model = MoneyModel(50, 10, 10)\n", - "for i in range(20):\n", - " model.step()" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "import numpy as np" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "wealth_grid = np.zeros((model.grid.width, model.grid.height))\n", - "for cell in model.grid.coord_iter():\n", - " cell_content, x, y = cell\n", - " cell_wealth = len(cell_content)\n", - " wealth_grid[y][x] = cell_wealth\n", - "plt.imshow(wealth_grid, interpolation='nearest')\n", - "plt.colorbar()" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from mesa.datacollection import DataCollector" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def compute_gini(model):\n", - " agent_wealths = [agent.wealth for agent in model.schedule.agents]\n", - " x = sorted(agent_wealths)\n", - " N = model.num_agents\n", - " B = sum( xi * (N-i) for i,xi in enumerate(x) ) / (N*sum(x))\n", - " return (1 + (1/N) - 2*B)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "class MoneyModel(Model):\n", - " \"\"\"A model with some number of agents.\"\"\"\n", - " def __init__(self, N, width, height):\n", - " self.num_agents = N\n", - " self.grid = MultiGrid(height, width, True)\n", - " self.schedule = RandomActivation(self)\n", - " # Create agents\n", - " for i in range(self.num_agents):\n", - " a = MoneyAgent(i)\n", - " self.schedule.add(a)\n", - " # Add the agent to a random grid cell\n", - " x = random.randrange(self.grid.width)\n", - " y = random.randrange(self.grid.height)\n", - " self.grid.place_agent(a, (x, y))\n", - " \n", - " self.datacollector = DataCollector(model_reporters={\"Gini\": compute_gini},\n", - " agent_reporters={\"Wealth\": lambda a: a.wealth})\n", - " self.running = True\n", - "\n", - " def step(self):\n", - " self.datacollector.collect(self)\n", - " self.schedule.step()" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "model = MoneyModel(50, 10, 10)\n", - "for i in range(100):\n", - " model.step()" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 30, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "end_wealth = agent_wealth.xs(19, level=\"Step\")[\"Wealth\"]\n", - "end_wealth.hist(bins=range(agent_wealth.Wealth.max()+1))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 33, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "one_agent_wealth = agent_wealth.xs(14, level=\"AgentID\")\n", - "one_agent_wealth.Wealth.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from mesa.batchrunner import BatchRunner" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "parameters = {\"height\": 10, \"width\": 10, \"N\": range(10, 500, 10)}\n", - "\n", - "batch_run = BatchRunner(MoneyModel, parameters, iterations=5, max_steps=100,\n", - " model_reporters={\"Gini\": compute_gini})\n", - "batch_run.run_all()" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "run_data = batch_run.get_model_vars_dataframe()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.4.2" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} From 346d67b5b7266c24550ee90eda9d27e486152217 Mon Sep 17 00:00:00 2001 From: David Masad Date: Fri, 6 Nov 2015 09:50:12 -0500 Subject: [PATCH 18/61] Edits --- docs/intro-tutorial.rst | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index f3ca0f4787e..d0f53ef208c 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -1,9 +1,9 @@ Introduction to Mesa - Tutorial ================================ -Getting started with Mesa is easy. In this doc, we will present Mesa’s architecture and core features. To illustrate them, we'll walk you through building a simple agent-based model, drawn from econophysics and presenting a statistical mechanics approach to wealth distribution [Dragulescu2002]_. +Getting started with Mesa is easy. In this doc, we will walk through creating a simple model which will illustrate Mesa's core features. We'll start from a very simple model of agents exchanging money; then add space and allow the agents to walk around. Next, we'll cover two of Mesa's analytic tools: the data collector and batch runner classes. Finally we'll cover how to set up an interactive visualization, and (for advanced users) how to create a new interactive visualization module. -The rules of our tutorial model: +The tutorial model is a very simple simulated agent-based economy, drawn from econophysics and presenting a statistical mechanics approach to wealth distribution [Dragulescu2002]_. The rules of our tutorial model: - There are some number of agents. - All agents begin with 1 unit of money. 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this.offsetGridLines&&(s+=e/2),Math.round(s)},update:function(t){s.extend(this,t),this.fit()},draw:function(){var t=this.ctx,i=(this.endPoint-this.startPoint)/this.steps,e=Math.round(this.xScalePaddingLeft);this.display&&(t.fillStyle=this.textColor,t.font=this.font,n(this.yLabels,function(n,o){var a=this.endPoint-i*o,h=Math.round(a),l=this.showHorizontalLines;t.textAlign="right",t.textBaseline="middle",this.showLabels&&t.fillText(n,e-10,a),0!==o||l||(l=!0),l&&t.beginPath(),o>0?(t.lineWidth=this.gridLineWidth,t.strokeStyle=this.gridLineColor):(t.lineWidth=this.lineWidth,t.strokeStyle=this.lineColor),h+=s.aliasPixel(t.lineWidth),l&&(t.moveTo(e,h),t.lineTo(this.width,h),t.stroke(),t.closePath()),t.lineWidth=this.lineWidth,t.strokeStyle=this.lineColor,t.beginPath(),t.moveTo(e-5,h),t.lineTo(e,h),t.stroke(),t.closePath()},this),n(this.xLabels,function(i,e){var 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i=t||1,s=this.chart.ctx;this.clear(),this.scale.draw(),e.each(this.datasets,function(t){e.each(t.points,function(t,e){t.hasValue()&&t.transition(this.scale.getPointPosition(e,this.scale.calculateCenterOffset(t.value)),i)},this),s.lineWidth=this.options.datasetStrokeWidth,s.strokeStyle=t.strokeColor,s.beginPath(),e.each(t.points,function(t,i){0===i?s.moveTo(t.x,t.y):s.lineTo(t.x,t.y)},this),s.closePath(),s.stroke(),s.fillStyle=t.fillColor,this.options.datasetFill&&s.fill(),e.each(t.points,function(t){t.hasValue()&&t.draw()})},this)}})}.call(this); \ No newline at end of file From 6d2bdb1012d897efc1b9ea6eb0281d5f66c3fa55 Mon Sep 17 00:00:00 2001 From: David Masad Date: Fri, 1 Apr 2016 11:04:36 -0400 Subject: [PATCH 42/61] Fixing bugs via Issue #200 --- docs/intro-tutorial.rst | 13 ++++++++----- 1 file changed, 8 insertions(+), 5 deletions(-) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index 80c55258822..09fc1feb23b 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -108,6 +108,7 @@ With that in mind, the model code with the scheduler added looks like this: class MoneyModel(Model): """A model with some number of agents.""" def __init__(self, N): + self.running = True self.num_agents = N self.schedule = RandomActivation(self) # Create agents @@ -250,6 +251,7 @@ We instantiate a grid with height and width parameters, and a boolean as to whet class MoneyModel(Model): """A model with some number of agents.""" def __init__(self, N, width, height): + self.running = True self.num_agents = N self.grid = MultiGrid(height, width, True) self.schedule = RandomActivation(self) @@ -322,6 +324,7 @@ Now, putting that all together should look like this: class MoneyModel(Model): """A model with some number of agents.""" def __init__(self, N, width, height): + self.running = True self.num_agents = N self.grid = MultiGrid(height, width, True) self.schedule = RandomActivation(self) @@ -377,12 +380,12 @@ Now let's use matplotlib and numpy to visualize the number of agents residing in # At the top of your file, import numpy import numpy as np - wealth_grid = np.zeros((model.grid.width, model.grid.height)) + agent_counts = np.zeros((model.grid.width, model.grid.height)) for cell in model.grid.coord_iter(): cell_content, x, y = cell - cell_wealth = len(cell_content) - wealth_grid[y][x] = cell_wealth - plt.imshow(wealth_grid, interpolation='nearest') + agent_count = len(cell_content) + agent_counts[y][x] = agent_count + plt.imshow(agent_counts, interpolation='nearest') plt.colorbar() # If running from a text editor or IDE, uncomment this line. # plt.show() @@ -462,7 +465,7 @@ You'll see that the DataFrame's index is pairs of model step and agent ID. You c .. code-block:: python - end_wealth = agent_wealth.xs(19, level="Step")["Wealth"] + end_wealth = agent_wealth.xs(99, level="Step")["Wealth"] end_wealth.hist(bins=range(agent_wealth.Wealth.max()+1)) .. image:: images/tutorial/dc_endwealth.png From de861d22c7ebdb8cd9e381e1b2d9fa88a378fa77 Mon Sep 17 00:00:00 2001 From: jackiekazil Date: Mon, 18 Apr 2016 01:29:13 -0400 Subject: [PATCH 43/61] Minor text updates to smooth flow or fix spelling. --- docs/intro-tutorial.rst | 102 ++++++++++++++++++++-------------------- 1 file changed, 52 insertions(+), 50 deletions(-) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index 09fc1feb23b..f80da537990 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -2,11 +2,11 @@ Introduction to Mesa - Tutorial ********************************* `Mesa `_ is a Python framework for `agent-based modeling `_. -Getting started with Mesa is easy. In this tutorial, we will walk through creating a simple model which will illustrate Mesa's core features. +Getting started with Mesa is easy. In this tutorial, we will walk through creating a simple model and progressively add functionality which will illustrate Mesa's core features. -**Note:** This tutorial is a work-in-progress. If you find any errors or bugs, or just find something unclear or confusing, `let us know `_! +**Note:** *This tutorial is a work-in-progress. If you find any errors or bugs, or just find something unclear or confusing, `let us know `_!* -We'll start from a very simple model of agents exchanging money; then add space and allow the agents to walk around. Next, we'll cover two of Mesa's analytic tools: the data collector and batch runner classes. Then we'll add an interactive visualization which lets us watch the model as it runs. Finally, for users who are comfortable with JavaScript, we go over how to write your own visualization module. +The base for this tutorial is a very simple model of agents exchanging money. Next, we add *space* to allow agents move. Then, we'll cover two of Mesa's analytic tools: the *data collector* and *batch runner*. After that, we'll add an *interactive visualization* which lets us watch the model as it runs. Finally, we go over how to write your own visualization module, for users who are comfortable with JavaScript. .. contents:: Tutorial Contents @@ -26,7 +26,7 @@ Let's get started. Installation ------------ -The first thing you need to do is to install Mesa, if you haven't already. We recommend doing this in a `virtual environment `_, but make sure your environment is set up with Python 3. Mesa requires Python3 and does not work in Python 2 environments. +To start, install Mesa. We recommend doing this in a `virtual environment `_, but make sure your environment is set up with Python 3. Mesa requires Python3 and does not work in Python 2 environments. To install Mesa, simply: @@ -40,17 +40,20 @@ When you do that, it will install Mesa itself, as well as any dependencies that Building a sample model ------------------------ -With Mesa all installed, let's go ahead and start building our model. There are two ways to go about it: you can write the code in its own file with your favorite text editor or IDE, or interactively in `Jupyter Notebook `_ cells. +Once Mesa is installed, you can start building our model. You can write models in two different ways: -Either way, it's good practice to put your model in its own folder -- especially if the project will end up consisting of multiple files (for example, Python files for the model and the visualization, a Notebook for analysis, and a Readme with some documentation and discussion). +1. Write the code in its own file with your favorite text editor, or +2. Write the model interactively in `Jupyter Notebook `_ cells. -Go ahead and create a folder, and either launch a Notebook or create a new Python source file. We will use the name ``MoneyModel.py`` here. +Either way, it's good practice to put your model in its own folder -- especially if the project will end up consisting of multiple files (for example, Python files for the model and the visualization, a Notebook for analysis, and a Readme with some documentation and discussion). + +Begin by creating a folder, and either launch a Notebook or create a new Python source file. We will use the name ``MoneyModel.py`` here. Setting up the model ~~~~~~~~~~~~~~~~~~~~~ -Now it's time to start writing the code. The model is going to need two core classes: one for the overall model, the other for the agents. The model class holds the model-level attributes, manages the agents, and generally handles the global level of our model. Each instantiation of the model class will be a specific model run. Each model will contain multiple agents, all of which are instantiations of the agent class. Both the model and agent classes are child classes of Mesa's generic ``Model`` and ``Agent`` classes. +To begin writing the model code, we start with two core classes: one for the overall model, the other for the agents. The model class holds the model-level attributes, manages the agents, and generally handles the global level of our model. Each instantiation of the model class will be a specific model run. Each model will contain multiple agents, all of which are instantiations of the agent class. Both the model and agent classes are child classes of Mesa's generic ``Model`` and ``Agent`` classes. Each agent has only one variable: how much wealth it currently has. (Each agent will also have a unique identifier (i.e., a name), stored in the ``unique_id`` variable. Giving each agent a unique id is a good practice when doing agent-based modeling.) @@ -76,19 +79,18 @@ The beginning of both classes looks like this: # Create agents for i in range(self.num_agents): a = MoneyAgent(i) - # What do we do with the agent once it's been created? - # See the next section, below. + Adding the scheduler ~~~~~~~~~~~~~~~~~~~~~ -Time in most agent-based models moves in steps, sometimes also called ticks. At each step of the model, one or more of the agents -- usually all of them -- are activated and take their own step, changing internally and/or interacting with one another or the environment. +Time in most agent-based models moves in steps, sometimes also called ticks. At each step of the model, one or more of the agents -- usually all of them -- are activated and take their own step, changing internally and/or interacting with one another or the environment. The ``scheduler`` is a special model component which controls the order in which agents are activated. For example, all the agents may activate in the same order every step; their order might be shuffled; we may try to simulate all the agents acting at the same time; and more. Mesa offers a few different built-in scheduler classes, with a common interface. That makes it easy to change the activation regime a given model uses, and see whether it changes the model behavior. For now, let's use one of the simplest ones: ``RandomActivation``, which activates all the agents once per step, in random order. Every agent is expected to have a ``step`` method, which takes a model object as its only argument -- this is the agent's action when it is activated. We add an agent to the schedule using the ``add`` method; when we call the schedule's ``step`` method, it shuffles the order of the agents, then activates them all, one at a time. -With that in mind, the model code with the scheduler added looks like this: +With that in mind, the model code with the scheduler added looks like this: .. code-block:: python @@ -145,7 +147,7 @@ Now we just need to have the agents do what we intend for them to do: check thei import random -To pick an agent at random, we need a list of all agents. Notice that there isn't such a list explicitly in the model. The scheduler, however, does have an internal list of all the agents it is scheduled to activate. +To pick an agent at random, we need a list of all agents. Notice that there isn't such a list explicitly in the model. The scheduler, however, does have an internal list of all the agents it is scheduled to activate. With that in mind, we rewrite the agent's ``step`` method, like this: @@ -170,9 +172,9 @@ If you've written the code in its own file (``MoneyModel.py`` or a different nam .. code-block:: python - from MoneyModel import * + from MoneyModel import * -Now let's create a model with 10 agents, and run it for 10 steps. +Now let's create a model with 10 agents, and run it for 10 steps. .. code-block:: python @@ -195,7 +197,7 @@ If you are running from a text editor or IDE, you'll also need to add this line, plt.show() -You'll probably see something like the distribution shown below. Yours will almost certainly look at least slightly different, since each run of the model is random, after all. +You'll probably see something like the distribution shown below. Yours will almost certainly look at least slightly different, since each run of the model is random, after all. .. image:: images/tutorial/first_hist.png :width: 50% @@ -266,7 +268,7 @@ We instantiate a grid with height and width parameters, and a boolean as to whet Under the hood, each agent's position is stored in two ways: the agent is contained in the grid in the cell it is currently in, and the agent has a ``pos`` variable with an (x, y) coordinate tuple. The ``place_agent`` method adds the coordinate to the agent automatically. -Now we need to add to the agents' behaviors, letting them move around and only give money to their cell-mates (as it were). +Now we need to add to the agents' behaviors, letting them move around and only give money to their cell-mates (as it were). First let's handle movement, and have the agents move to a neighboring cell. The grid object provides a ``move_agent`` method, which like you'd imagine, moves an agent to a given cell. That still leaves us to get the possible neighboring cells to move to. There are a couple ways to do this. One is to use the current coordinates, and loop over all coordinates +/- 1 away from it. For example: @@ -292,7 +294,7 @@ With that in mind, the agent's ``move`` method looks like this: model.grid.move_agent(self, new_position) -Next, we need to get all the other agents present in a cell, and give one of them some money. We can get the contents of one or more cells using the grid's ``get_cell_list_contents`` method, or by accessing a cell directly. The method currently requires a list of cells (TODO: someone should probably fix that...), even if we only care about one cell. +Next, we need to get all the other agents present in a cell, and give one of them some money. We can get the contents of one or more cells using the grid's ``get_cell_list_contents`` method, or by accessing a cell directly. The method currently requires a list of cells (TODO: someone should probably fix that...), even if we only care about one cell. .. code-block:: python @@ -345,7 +347,7 @@ Now, putting that all together should look like this: def __init__(self, unique_id): self.unique_id = unique_id self.wealth = 1 - + def move(self, model): possible_steps = model.grid.get_neighborhood(self.pos, moore=True, include_center=False) new_position = random.choice(possible_steps) @@ -400,13 +402,13 @@ Now let's use matplotlib and numpy to visualize the number of agents residing in Collecting Data ~~~~~~~~~~~~~~~~~ -So far, at the end of every model run, we've had to go and write our own code to get the data out of the model. This works, but has two problems: it isn't very efficient, and it only gives us end results. If we wanted to know the wealth of each agent at each step, for example, we'd have to add that to the loop of executing steps, and figure out some way to store the data. +So far, at the end of every model run, we've had to go and write our own code to get the data out of the model. This works, but has two problems: it isn't very efficient, and it only gives us end results. If we wanted to know the wealth of each agent at each step, for example, we'd have to add that to the loop of executing steps, and figure out some way to store the data. Since one of the main goals of agent-based modeling is generating data for analysis, Mesa provides a class which can handle data collection and storage for us and make it easier to analyze. The data collector stores three categories of data: model-level variables, agent-level variables, and tables (which are a catch-all for everything else). Model- and agent-level variables are added to the data collector along with a function for collecting them. Model-level collection functions take a model object as an input, while agent-level collection functions take an agent object as an input. Both then return a value computed from the model or each agent at their current state. When the data collector’s ``collect`` method is called, with a model object as its argument, it applies each model-level collection function to the model, and stores the results in a dictionary, associating the current value with the current step of the model. Similarly, the method applies each agent-level collection function to each agent currently in the schedule, associating the resulting value with the step of the model, and the agent’s ``unique_id``. -Let's add a DataCollector to the model, and collect two variables. At the agent level, we want to collect every agent's wealth at every step. At the model level, let's measure the model's `Gini Coefficient `_, a measure of wealth inequality. +Let's add a DataCollector to the model, and collect two variables. At the agent level, we want to collect every agent's wealth at every step. At the model level, let's measure the model's `Gini Coefficient `_, a measure of wealth inequality. .. code-block:: python @@ -430,7 +432,7 @@ Let's add a DataCollector to the model, and collect two variables. At the agent self.datacollector.collect(self) self.schedule.step() -At every step of the model, the datacollector will collect and store the model-level current Gini coefficient, as well as each agent's wealth, associating each with the current step. +At every step of the model, the datacollector will collect and store the model-level current Gini coefficient, as well as each agent's wealth, associating each with the current step. We run the model just as we did above. Now is when an interactive session, especially via a Notebook, comes in handy: the DataCollector can export the data it's collected as a pandas DataFrame, for easy interactive analysis. @@ -443,7 +445,7 @@ We run the model just as we did above. Now is when an interactive session, espec To get the series of Gini coefficients as a pandas DataFrame: .. code-block:: python - + gini = model.datacollector.get_model_vars_dataframe() gini.plot() @@ -461,10 +463,10 @@ Similarly, we can get the agent-wealth data: agent_wealth = model.datacollector.get_agent_vars_dataframe() agent_wealth.head() -You'll see that the DataFrame's index is pairs of model step and agent ID. You can analyze it the way you would any other DataFrame. For example, to get a histogram of agent wealth at the model's end: +You'll see that the DataFrame's index is pairings of model step and agent ID. You can analyze it the way you would any other DataFrame. For example, to get a histogram of agent wealth at the model's end: .. code-block:: python - + end_wealth = agent_wealth.xs(99, level="Step")["Wealth"] end_wealth.hist(bins=range(agent_wealth.Wealth.max()+1)) @@ -513,11 +515,11 @@ Now, we can set up and run the BatchRunner: parameters = {"height": 10, "width": 10, "N": range(10, 500, 10)} - batch_run = BatchRunner(MoneyModel, parameters, iterations=5, max_steps=100, + batch_run = BatchRunner(MoneyModel, parameters, iterations=5, max_steps=100, model_reporters={"Gini": compute_gini}) batch_run.run_all() -Like the DataCollector, we can extract the data we collected as a DataFrame. +Like the DataCollector, we can extract the data we collected as a DataFrame. .. code-block:: python @@ -549,7 +551,7 @@ Grid Visualization To start with, let's have a visualization where we can watch the agents moving around the grid.For this, you will need to put your model code in a separate Python source file; for example, ``MoneyModel.py``. Next, either in the same file or in a new one (e.g. ``MoneyModel_Viz.py``) import the server class and the Canvas Grid class (so-called because it uses HTML5 canvas to draw a grid). If you're in a new file, you'll also need to import the actual model object. .. code-block:: python - + from mesa.visualization.modules import CanvasGrid from mesa.visualization.ModularVisualization import ModularServer @@ -580,10 +582,10 @@ Now we create and launch the actual server. We do this with the following argume - The title of the model: "Money Model" - Any inputs or arguments for the model itself. In this case, 100 agents, and height and width of 10. -One we create the server, we set the port for it to listen on (you can treat this as just a piece of the URL you'll open in the browser). Finally, when you're ready to run the visualization, use the server's ``launch()`` method. +One we create the server, we set the port for it to listen on (you can treat this as just a piece of the URL you'll open in the browser). Finally, when you're ready to run the visualization, use the server's ``launch()`` method. .. code-block:: python - + server = ModularServer(MoneyModel, [grid], "Money Model", 100, 10, 10) server.port = 8889 server.launch() @@ -611,9 +613,9 @@ The full code should now look like: server.launch() -Now run this file; this should launch the interactive visualization server. Open your web browser of choice, and enter `127.0.0.1:8889 <127.0.0.1:8889>`_. +Now run this file; this should launch the interactive visualization server. Open your web browser of choice, and enter `127.0.0.1:8889 <127.0.0.1:8889>`_. -You should see something like the figure below: the model title, an empty space where the grid will be, and a control panel off to the right. +You should see something like the figure below: the model title, an empty space where the grid will be, and a control panel off to the right. .. image:: images/tutorial/viz_empty.png :width: 50% @@ -621,7 +623,7 @@ You should see something like the figure below: the model title, an empty space :alt: Model-level variable collected :align: center -Click the 'reset' button on the control panel, and you should see the grid fill up with red circles, representing agents. +Click the 'reset' button on the control panel, and you should see the grid fill up with red circles, representing agents. .. image:: images/tutorial/viz_redcircles.png :width: 50% @@ -632,12 +634,12 @@ Click the 'reset' button on the control panel, and you should see the grid fill Click 'step' to advance the model by one step, and the agents will move around. Click 'run' and the agents will keep moving around, at the rate set by the 'fps' (frames per second) slider at the top. Try moving it around and see how the speed of the model changes. Pressing 'pause' will (as you'd expect) pause the model; presing 'run' again will restart it. Finally, 'reset' will start a new instantiation of the model. -To stop the visualization server, go back to the terminal where you launched it, and press Control+c. +To stop the visualization server, go back to the terminal where you launched it, and press Control+c. Changing the agents ~~~~~~~~~~~~~~~~~~~ -In the visualization above, all we could see is the agents moving around -- but not how much money they had, or anything else of interest. Let's change it so that agents who are broke (wealth 0) are drawn in grey, smaller, and above agents who still have money. +In the visualization above, all we could see is the agents moving around -- but not how much money they had, or anything else of interest. Let's change it so that agents who are broke (wealth 0) are drawn in grey, smaller, and above agents who still have money. To do this, we go back to our ``agent_portrayal`` code and add some code to change the portrayal based on the agent properties. @@ -668,24 +670,24 @@ Now launch the server again, open or refresh your browser page, and hit 'reset'. Adding a chart ~~~~~~~~~~~~~~~ -Next, let's add another element to the visualization: a chart, tracking the model's Gini Coefficient. This is another built-in element that Mesa provides. +Next, let's add another element to the visualization: a chart, tracking the model's Gini Coefficient. This is another built-in element that Mesa provides. .. code-block:: python from mesa.visualization.modules import ChartModule -The basic chart pulls data from the model's DataCollector, and draws it as a line graph using the `Charts.js `_ JavaScript libraries. We instantiate a chart element with a list of series for the chart to track. Each series is defined in a dictionary, and has a ``Label`` (which must match the name of a model-level variable collected by the DataCollector) and a ``Color`` name. We can also give the chart the name of the DataCollector object in the model. +The basic chart pulls data from the model's DataCollector, and draws it as a line graph using the `Charts.js `_ JavaScript libraries. We instantiate a chart element with a list of series for the chart to track. Each series is defined in a dictionary, and has a ``Label`` (which must match the name of a model-level variable collected by the DataCollector) and a ``Color`` name. We can also give the chart the name of the DataCollector object in the model. -Finally, we add the chart to the list of elements in the server. The elements are added to the visualization in the order they appear, so the chart will appear underneath the grid. +Finally, we add the chart to the list of elements in the server. The elements are added to the visualization in the order they appear, so the chart will appear underneath the grid. .. code-block:: python - chart = ChartModule([{"Label": "Gini", "Color": "Black"}], + chart = ChartModule([{"Label": "Gini", "Color": "Black"}], data_collector_name='datacollector') server = ModularServer(MoneyModel, [grid, chart], "Money Model", 100, 10, 10) -Launch the visualization and start a model run, and you'll see a line chart underneath the grid. Every step of the model, the line chart updates along with the grid. Reset the model, and the chart resets too. +Launch the visualization and start a model run, and you'll see a line chart underneath the grid. Every step of the model, the line chart updates along with the grid. Reset the model, and the chart resets too. .. image:: images/tutorial/viz_chart.png :width: 50% @@ -701,11 +703,11 @@ Building your own visualization component **Note:** This section is for users who have a basic familiarity with JavaScript. If that's not you, don't worry! (If you're an advanced JavaScript coder and find things that we've done wrong or inefficiently here, please `let us know `_!) -If the visualization elements provided by Mesa aren't enough for you, you can build your own and plug them into the model server. +If the visualization elements provided by Mesa aren't enough for you, you can build your own and plug them into the model server. -First, you need to understand how the visualization works under the hood. Remember that each visualization module has two sides: a Python object that runs on the server and generates JSON data from the model state (the server side), and a JavaScript object that runs in the browser and turns the JSON into something it renders on the screen (the client side). +First, you need to understand how the visualization works under the hood. Remember that each visualization module has two sides: a Python object that runs on the server and generates JSON data from the model state (the server side), and a JavaScript object that runs in the browser and turns the JSON into something it renders on the screen (the client side). -Obviously, the two sides of each visualization must be designed in tandem. They result in one Python class, and one JavaScript ``.js`` file. The path to the JavaScript file is a property of the Python class. +Obviously, the two sides of each visualization must be designed in tandem. They result in one Python class, and one JavaScript ``.js`` file. The path to the JavaScript file is a property of the Python class. For this example, let's build a simple histogram visualization, which can count the number of agents with each value of wealth. We'll use the `Charts.js `_ JavaScript library, which is already included with Mesa. If you go and look at its documentation, you'll see that it had no histogram functionality, which means we have to build our own out of a bar chart. We'll keep the histogram as simple as possible, giving it a fixed number of integer bins. If you were designing a more general histogram to add to the Mesa repository for everyone to use across different models, obviously you'd want something more general. @@ -731,7 +733,7 @@ When the visualization object is instantiated, the first thing it needs to do is .. code-block:: javascript var HistogramModule = function(bins, canvas_width, canvas_height) { - + // Create the tag: var canvas_tag = "`_. Similarly, ``local_includes`` is a list of JavaScript files in the same directory as the class code itself. Note that both of these are class variables, not object variables -- they hold for all particular objects. -Next, look at the ``__init__`` method. It takes three arguments: the number of bins, and the width and height for the histogram. It then uses these values to populate the ``js_code`` property; this is code that the server will insert into the visualization page, which will run when the page loads. In this case, it creates a new HistogramModule (the class we created in JavaScript in the step above) with the desired bins, width and height; it then appends (``push``es) this object to ``elements``, the list of visualization elements that the visualization page itself maintains. +Next, look at the ``__init__`` method. It takes three arguments: the number of bins, and the width and height for the histogram. It then uses these values to populate the ``js_code`` property; this is code that the server will insert into the visualization page, which will run when the page loads. In this case, it creates a new HistogramModule (the class we created in JavaScript in the step above) with the desired bins, width and height; it then appends (``push``es) this object to ``elements``, the list of visualization elements that the visualization page itself maintains. Now, the last thing we need is the ``render`` method. If we were making a general-purpose visualization module we'd want this to be more general, but in this case we can hard-code it to our model. @@ -866,7 +868,7 @@ Every time the render method is called (with a model object as the argument) it Now, you can create your new HistogramModule and add it to the server: .. code-block:: python - + histogram = HistogramModule(list(range(10)), 200, 500) server = ModularServer(MoneyModel, [grid, histogram, chart], "Money Model", 100, 10, 10) server.launch() @@ -879,7 +881,7 @@ Run this code, and you should see your brand-new histogram added to the visualiz :alt: Model-level variable collected :align: center -If you've felt comfortable with this section, it might be instructive to read the code for the `ModularServer `_ and the `modular_template `_ to get a better idea of how all the pieces fit together. +If you've felt comfortable with this section, it might be instructive to read the code for the `ModularServer `_ and the `modular_template `_ to get a better idea of how all the pieces fit together. **Happy modeling!** From d51649df61e8d737b177cb7cab131a8daa339761 Mon Sep 17 00:00:00 2001 From: David Masad Date: Wed, 20 Apr 2016 16:16:43 -0400 Subject: [PATCH 44/61] Trying to mock out numpy and scipy Attempted fix for returning RTD build errors. --- docs/conf.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/conf.py b/docs/conf.py index 20bbe0ca876..f79f268e6e1 100644 --- a/docs/conf.py +++ b/docs/conf.py @@ -25,7 +25,7 @@ class Mock(MagicMock): def __getattr__(cls, name): return Mock() -MOCK_MODULES = ['pandas'] +MOCK_MODULES = ['numpy', 'scipy', 'pandas'] sys.modules.update((mod_name, Mock()) for mod_name in MOCK_MODULES) # End of mock From 44dd86dfb7dd48222b634e497b41c85a51b11a9b Mon Sep 17 00:00:00 2001 From: David Masad Date: Wed, 20 Apr 2016 16:55:33 -0400 Subject: [PATCH 45/61] Tweak conf --- docs/conf.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/conf.py b/docs/conf.py index f79f268e6e1..84d24bc36fe 100644 --- a/docs/conf.py +++ b/docs/conf.py @@ -25,7 +25,7 @@ class Mock(MagicMock): def __getattr__(cls, name): return Mock() -MOCK_MODULES = ['numpy', 'scipy', 'pandas'] +MOCK_MODULES = ['scipy', 'numpy', 'pandas'] sys.modules.update((mod_name, Mock()) for mod_name in MOCK_MODULES) # End of mock From 60759891bb52f1308e344d8b3299bd94819d0c56 Mon Sep 17 00:00:00 2001 From: David Masad Date: Wed, 20 Apr 2016 17:17:03 -0400 Subject: [PATCH 46/61] Removing spicy from requirements For RTD testing purposes --- requirements.txt | 1 - 1 file changed, 1 deletion(-) diff --git a/requirements.txt b/requirements.txt index b6eba757da9..addd7bb0ddb 100644 --- a/requirements.txt +++ b/requirements.txt @@ -4,4 +4,3 @@ ipython==4.1.1 tornado==4.0.2 flake8==2.5.2 -scipy==0.17.0 From c20d13542f58c17f1397989945545961d8a71bb5 Mon Sep 17 00:00:00 2001 From: David Masad Date: Wed, 20 Apr 2016 17:26:13 -0400 Subject: [PATCH 47/61] Adding scipy back? --- requirements.txt | 1 + 1 file changed, 1 insertion(+) diff --git a/requirements.txt b/requirements.txt index addd7bb0ddb..afc3a383f9c 100644 --- a/requirements.txt +++ b/requirements.txt @@ -1,4 +1,5 @@ numpy==1.10.4 +scipy==0.17.0 pandas==0.17.1 ipython==4.1.1 From 664e447bac6083aedf5a4f7fac6d83f789cbf96f Mon Sep 17 00:00:00 2001 From: David Masad Date: Wed, 20 Apr 2016 20:48:57 -0400 Subject: [PATCH 48/61] Fixing tutorial file names --- docs/_build/doctrees/environment.pickle | Bin 1294458 -> 1299136 bytes docs/_build/doctrees/index.doctree | Bin 15493 -> 15661 bytes docs/_build/html/genindex.html | 36 +- docs/_build/html/objects.inv | Bin 1416 -> 1493 bytes docs/_build/html/searchindex.js | 2 +- docs/intro-tutorial.rst | 3 + .../Introduction to Mesa Tutorial Code.ipynb | 876 ++++++++++++++++++ .../Tutorial-Boltzmann_Wealth_Model.ipynb | 673 -------------- .../Untitled.ipynb | 233 ----- 9 files changed, 914 insertions(+), 909 deletions(-) create mode 100644 examples/Tutorial-Boltzmann_Wealth_Model/Introduction to Mesa Tutorial Code.ipynb delete mode 100644 examples/Tutorial-Boltzmann_Wealth_Model/Tutorial-Boltzmann_Wealth_Model.ipynb delete mode 100644 examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb diff --git a/docs/_build/doctrees/environment.pickle b/docs/_build/doctrees/environment.pickle index 69129b2393fbf33bac26541440dc45805f66a84c..b3e74dda2b8ee208023c65bdf8a431a332a06b75 100644 GIT binary patch literal 1299136 zcmeFaZEU1Tk{-6Z)6-2hzx!i)zILZ}`|fsTc8WdIJvXyAcei(JHhYFQWH-0Tp4pRh zqKn0stm-aSaqFYIxwx}z2wL63X=v@^$$xyX{@4cOAJRb<4EZ1nwsE%p*fJ!;AFvJC z5)8vX1Q{^w1MDC26A>Bjo0)HB6|32;orQOCH%%5RpUBLJjEIbkjQp3*{Qj?e>C0cD z|CtND!$!0HWHD<$YIZyAgRI>@HuEoo=(%qK{rJw^=;s><(I4kN$jy{!BkibkKoE&FnFL8JP3Cor4-+mGTSq!$bVx zO>@q6^Z3&*nRA_;2U)#OI0N&Q2lVfojaNSXQsY(n;Dv6l?|<^;y8ruE4v**qbFS#m zo8~(iVztPW|o+^BU+qsd!dD7VD)6OlI?c^9siyP%S^xLj*Ls`WnZHh05W)aC<{iZ>g--k39I zWv-5Ycx+@Q{eCar!Z4O)7@h87Z6Awg`%$giJBBz+*82T!b7#=csJRRq{L5O4y?P@f zu`Ye9@hfQO(0q-@L4vV(v)0QtZ97of-KEB7vE~|`UBdq;GOa=P_Ot#r#*?+Ui`z7m zy>1Oc=OcX*nLPBnBzKG6{H?SyQXPxk3@g05UF+^+5+;L5m}6)=3H|IapnT(`ls7Qb zpVZpBEl3B5yjXA5dOezjPa_BzGO3Uhnt1FjjXxf=pTdsJ`bh)OT^{HUb*|f z8X+E?IQ!uyv{=?%#Q*Pfdf-AhTQMmvtyx~hB+ZNa_)i(+Yuu@r2+=Ugg4%c&OZ8Js zSv%3z5tZGi0+5Io@4@3Vb9M z(w(2iBD6R$;={-oqhjT(ibbq->ZYS0e*L5{-gGZ^+S_Q@Lq`L=ON=MuULUmjO_>^( z!#7V#(q9l(g;+WB2JveV#5kio<+PZIc8aJZv9eKdrAgf0ZT9-LHY~iaB(HHt94iF{ z4U2V;E!Lv7Y>u`Kn#aZw<*7e22el{LqWAggVdSRx-iUv}%*zCh()U#G=yM^h7Q`zpTa&jd2c7*vSn6$%A zx8JQD)mji_ww5JD`)&ky=w$dB;AFCZ734Sv&af&4=Qf)Mn7mp$gT_p#1(RfS#3G3= zB?ikbr%)Ze;ZP6MQOw4<%Y_+!GS>Y(Q;Dy#1Gw|sJUhW6d5aqj^|#yi#@c#pdgwRelX#$ay` zW8ca8kF%@|-3Hh)mJ#tuU{IUwxRyJy&9fY~9+}K)+=cxGXI6OukdYXvy2NuV^dwDJ z;eNzqF0OxktH%8#ne#mi5&sn9uw94GPYM@0dJvm!S>rt0{;q?DDtxbZ1_%@QCQ-(S znWP;~mhlF~@7OEh++puO=xx__9|TYz@E83>c!CM>SMt-^Sl%JkTM-)@+g(`6@fqX& zrUtatslx^}+x6C9m!>^rn}iKgY{Oo7yVhc(TC7zgK6I*0!7tjACO3Rbk=c$8%YJBA z$v#}+e5(`=MvPh^@a#*qXVG=SC*D>-A2jyBq8G`w_0i?awVZkT&KOES6tBF^0da#f|s4B|gV+Zn41%o%^R; zeKrjCxVhVBm)2i>C*L~SNp2&;#j-JJO8Y_APSoo4?6AMx9~{CZg!eVzvj{Awi9I;i z94G$aapNN!7AXm0XVBm7>}~JBHQ8k!(y^0oGc%GiSbGSKj4qNRP9j|D=652@v?{{q zp078o28$T`rv!v%MnEkVS}pCw4_i2wi0-RmUNM%u1WAXRFA2?%YH}vm-Dm_6zr|rp zkFQxj$T6Y_9Gkb9_e6F)nNgwU<-2)ivo!zGTO58BP|53uec8wF8#A{n7XrR7?{ zu>!FHaSWe(OwxGEY7ciu84bF`f*&W2SfdYgTq52B*@eO(xP5BIC8jneWVRo}R1|~; z2SRN=1`3^cIpAb&`CiTX(+`520R;H?sHQXQ(1D^4?DdkDZZ$E7`>?!p&9CIo!Is8 zw=p>3tUugFO2B?I+|HB~e-pf>m@$X40?)I;>@JOa4~YWN?+*`l$#~P6-h6|}B?43u zf+O677hC>X>T0Gm!YF(U8 z=07yv#`)d^c43l^`QR76@})1yXP5{1%uF2~RrBBYkF&eo+CKT<^}+Rb-@Sg^m@(l; zKSVa=)M2-?-$C{Z?W>WldA8`ugR3CK|7pB!W^Cdq`!m_GS=ip{*4n)mr^0M>J5P>| zfA9Fgb+j;(2S->medJK$BQv$h!>Lfd3zEJlE%m_%1pFcX^B3^R&R;y{A=z;~c%S}A z-!Lz(a{j5?=sQlMH|dLS;XjSHokr7;Aq=}xZo5*n<)lI8!@x}BVH%qKm-d>7XEoc{ z%CpOzwJFTBd;GiRa=q25J%m46YqoF-wu{Jn4<58^e8=cu;Y`M&klC7U3f}I;CdrNPSKCdba$`5y@PDT?LoJ7Y+i5l z`-i=cu3hVQI<4MfGwbgycDno58vTRTwPQ1Vm>oLbuIRTPKYqM;c!YF}Hh+6Jdvp!o z?4iXhlq%^OQ0->51IUGylR>}PT5Lld^^VQV=kldZ`HqvE`~pUPY`#MOnc(Te(9LT=B<^R_dova)jPNE{`Tif_wKCT`S`b2?%lh4@3%KsK3loB^47IK{ciRB-}*Ce z9e-N+;qg5HP**7SczkEDV_rap^l{_Nz|0dvd)qki=w>^VC(Vm2miGFWD0lV8PQo&M zF!ke7^0WO|l*c14_rNNqWBSVEj|Wax^EETQo8i=F7aXM+5#_8-;%lb5xX76Y*F2
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b/docs/intro-tutorial.rst index a76cd6f62e6..7a336e710bb 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -409,7 +409,7 @@ To get the series of Gini coefficients as a pandas DataFrame: .. image:: images/tutorial/dc_gini.png :width: 100% - :scale: 50% + :scale: 100% :alt: Model-level variable collected :align: center @@ -428,6 +428,11 @@ You'll see that the DataFrame's index is pairs of model step and agent ID. You c end_wealth = agent_wealth.xs(19, level="Step")["Wealth"] end_wealth.hist(bins=range(agent_wealth.Wealth.max()+1)) +.. image:: images/tutorial/dc_endwealth.png + :width: 50% + :scale: 50% + :alt: Model-level variable collected + :align: center Or to plot the wealth of a given agent (in this example, agent 14): @@ -436,13 +441,6 @@ Or to plot the wealth of a given agent (in this example, agent 14): one_agent_wealth = agent_wealth.xs(14, level="AgentID") one_agent_wealth.Wealth.plot() -.. image:: images/tutorial/dc_endwealth.png - :width: 50% - :scale: 50% - :alt: Model-level variable collected - :align: center - - .. image:: images/tutorial/dc_oneagent.png :width: 50% :scale: 50% @@ -481,6 +479,11 @@ Now, we can set up and run the BatchRunner: Like the DataCollector, we can extract the data we collected as a DataFrame. Notice that each row is a model run, and gives us the parameter values associated with that run. We can use this data to view a scatter-plot comparing the number of agents to the final Gini. +.. image:: images/tutorial/bc_ginis.png + :width: 100% + :scale: 100% + :alt: Model-level variable collected + :align: center diff --git a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb index 3690413f0fd..13c36265a3e 100644 --- a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb +++ b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb @@ -637,7 +637,7 @@ }, { "cell_type": "code", - "execution_count": 98, + "execution_count": 34, "metadata": { "collapsed": true }, @@ -648,7 +648,7 @@ }, { "cell_type": "code", - "execution_count": 99, + "execution_count": 35, "metadata": { "collapsed": true }, @@ -663,18 +663,7 @@ }, { "cell_type": "code", - "execution_count": 102, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "run_data = batch_run.get_model_vars_dataframe()" - ] - }, - { - "cell_type": "code", - "execution_count": 103, + "execution_count": 39, "metadata": { "collapsed": false }, @@ -697,41 +686,41 @@ " \n", " \n", " 0\n", - " 0.653765\n", - " 360\n", - " 179\n", + " 0.656133\n", + " 320\n", + " 155\n", " 10\n", " 10\n", " \n", " \n", " 1\n", - " 0.621156\n", - " 150\n", - " 72\n", + " 0.657208\n", + " 350\n", + " 171\n", " 10\n", " 10\n", " \n", " \n", " 2\n", - " 0.651801\n", - " 190\n", - " 91\n", + " 0.588437\n", + " 80\n", + " 36\n", " 10\n", " 10\n", " \n", " \n", " 3\n", - " 0.650775\n", - " 230\n", - " 111\n", + " 0.649386\n", + " 310\n", + " 150\n", " 10\n", " 10\n", " \n", " \n", " 4\n", - " 0.689490\n", - " 140\n", - " 65\n", + " 0.716562\n", + " 80\n", + " 39\n", " 10\n", " 10\n", " \n", @@ -741,25 +730,26 @@ ], "text/plain": [ " Gini N Run height width\n", - "0 0.653765 360 179 10 10\n", - "1 0.621156 150 72 10 10\n", - "2 0.651801 190 91 10 10\n", - "3 0.650775 230 111 10 10\n", - "4 0.689490 140 65 10 10" + "0 0.656133 320 155 10 10\n", + "1 0.657208 350 171 10 10\n", + "2 0.588437 80 36 10 10\n", + "3 0.649386 310 150 10 10\n", + "4 0.716562 80 39 10 10" ] }, - "execution_count": 103, + "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ + "run_data = batch_run.get_model_vars_dataframe()\n", "run_data.head()" ] }, { "cell_type": "code", - "execution_count": 104, + "execution_count": 40, "metadata": { "collapsed": false }, @@ -767,18 +757,18 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 104, + "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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leGJq28xuLnO+LLfPw8A5ZrbczE4CrgK2Jg8wszPNzOLPK4hWBzuSp6wQQoj+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\n", 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/B/xrgGCzgY3AEUT7N64Bjuq4ZiHwfeCw+PjA0LRlFL5NgRYZB5v+xd6E0ETF\n1GTF0dQ6a2so2nb2s3Hs7e53J46/7dHq8a1mNr9PummOBTa6+2YAM7scOAVYl7jm9cCX3P3euCQP\nZEg7ZrTHOOjyLNqXZix8TKPZ62Nc9rDG0E9xHJA8cPezEocHBeR9KHBP4vhe4Hkd1xwJzDGzG4D9\ngA+5+2cC044Z7TIO6p+8H81crS6FL0Lppzi+Z2Zvdfd/TEaa2Z8C3wvIO2Tm1RzgaOAEYB7wH2b2\n3cC00/KsSBxOuftUaNp2UfV0RyGk8EcVM5sksieXQj/F8S7gSjN7PXBrHHc08Dgiw/kgtgCLE8eL\niXoOSe4BHnD3h4GHzezfgGfH1w1KC4C7rwiQZQSoerqjGB7NHhISo0f8QT01fWxm5xfJz2JDSfpJ\nMwNeAjyDqBfwfXf/16CMzfYC7iLqTdxHNCvrdHdfl7jmacBHiFbrziXqybwW+OGgtHF6d3cLKukI\nICdyo4OepaiTom1nX8VRFDN7GXAh0SypT7j735jZmQDufnF8zTnAm4HdwCXuflGvtCn5j5XiEEKI\nMmi04qgaKQ4hhMhO0bZzVpnCCCGEGH2kOMRjmNnJZotWR8FOrlseIUQz0VCVAJKL0i5KzvRpwKI0\nIUTZFG07Q3YAFGNBMxelCSGah4aqhBBCZEI9DhGjRWlCiDBk42g5ZS4k06I0IcYDreMYEcWRp9GW\nQVsIkQcZx0eA/G62ZdAWQgwfKY5GIAUghGgPmlXVaratjIanPkUUlj4M21bmXcinBYBCiBBk42gA\nRWwVnbaR6G/2vGQvEWJ8kHF8BBQHlDejyWzRalh14p5hr08By65z33pSFemEEO1DxvERQTuvCSHa\ngnocLUdDVUKIrGioaowVR6/GPvqdfdhLCwCFGA+kOMZaccguIYTIjjZyEkIIMVRkHG81ckwohBg+\nGqpqObJLCCGyIhvHmCsOIYTIimwcQgghhooUR0OQnyghRFvQUFUD0OI7IcQwkcuRkUBu1YUQ7UFD\nVUIIITKhHkcj0HoMIUR7kI2jIWg9hhBiWDR6HYeZLQEuBGYD/+Tuf9txfhK4CvhxHPVld//f8bnN\nwHZgF/Coux+bkv/IKA4hhBgWjTWOm9ls4CPAS4EtwE1mdrW7r+u49Jvu/sqULByYdPdtVckohBAi\nO1Uax48FNrr7Znd/FLgcOCXlun5aT70JIYRoGFUqjkOBexLH98ZxSRx4gZndbmZfNbOnd5y73sxu\nNrMzKpTIErYrAAALIklEQVRTCCFEBqqcVRViPLkVWOzuD5nZy4ArgafE545z9/vN7CDgOjNb7+7f\nqkpYIYQQYVSpOLYAixPHi4l6HY/h7r9O/P6amX3MzCbcfZu73x/H/8LMriAa+upSHGa2InE45e5T\n5RVBCCHaTzwRabK0/KqaVWVmewF3AScA9wE3AqcnjeNmdjDwc3d3MzsW+Gd3P8LM5gGz3f3XZjYf\nWA38lbuv7riHZlUJIURGGjuryt13mtlZRG4zZgOfcPd1ZnZmfP5i4NXA28xsJ/AQ8Lo4+eOBL5vZ\ntIyf7VQaQggh6kELAIUQYszQfhxCCCGGihSHEEKITEhxCCGEyIQUhxBCiExIcQghhMiEFIcQQohM\nSHEIIYTIhBSHEEKITEhxCCGEyIQUhxBCiExIcQghhMiEFIcQQohMSHEIIYTIhBSHEEKITEhxCCGE\nyIQUhxBCiExIcQghhMiEFIcQQohMSHEIIYTIhBSHEEKITEhxCCGEyIQUhxBCiExIcQghhMiEFIcQ\nQohMSHEIIYTIhBSHEEKITEhxCCGEyIQUhxBCiExUqjjMbImZrTezDWZ2bsr5STN70Mxui8N7Q9MK\nIYSoh8oUh5nNBj4CLAGeDpxuZkelXPpNd39uHN6XMW2rMbPJumUoguSvlzbL32bZof3yF6XKHsex\nwEZ33+zujwKXA6ekXGcF0radyboFKMhk3QIUZLJuAQoyWbcABZisW4CCTNYtQJ1UqTgOBe5JHN8b\nxyVx4AVmdruZfdXMnp4hrRBCiBrYq8K8PeCaW4HF7v6Qmb0MuBJ4SoUyCSGEKIi5h7TvOTI2ez6w\nwt2XxMfnAbvd/W/7pNkEHEOkPAamNbNqhBdCiBHH3dPMBEFU2eO4GTjSzI4A7gNeC5yevMDMDgZ+\n7u5uZscSKbJtZjYwLRQruBBCiHxUpjjcfaeZnQVcC8wGPuHu68zszPj8xcCrgbeZ2U7gIeB1/dJW\nJasQQohwKhuqEkIIMZq0YuW4mb3GzL5vZrvM7OiOc+fFiwTXm9lJifhjzGxtfO5Dw5e6P01f4Ghm\nnzSzn5nZ2kTchJldZ2Y/NLPVZrYwcS71OdSFmS02sxvi9+ZOM1sax7eiDGb2ODP7npmtMbMfmNnf\nxPGtkD+WZ3a8sPea+LhNsm82szti+W+M49ok/0Iz+6KZrYvfn+eVKr+7Nz4ATyMymN8AHJ2Ifzqw\nBpgDHAFsZE8v6kbg2Pj3V4EldZcjIffsWNYjYtnXAEfVLVeHjC8EngusTcT9HfAX8e9zgQ/0eQ6z\napb/8cBz4t/7AncBR7WsDPPiv3sB3wWOb5n8y4DPAle38P3ZBEx0xLVJ/k8B/z3x/uxfpvyt6HG4\n+3p3/2HKqVOAz7v7o+6+majAzzOz/wzs5+43xtd9GnjVcKQNovELHN39W8AvO6JfSfRCEv+drtO0\n53DsMOTshbv/1N3XxL9/A6wjWgvUpjI8FP/cm+hj45e0RH4zOwz4Q+Cf2LPItxWyJ+icfNMK+c1s\nf+CF7v5JiGzG7v4gJcrfCsXRh0OIFgdOM71QsDN+C81aQNjWBY4Hu/vP4t8/Aw6Of/d6Do0gnp33\nXOB7tKgMZjbLzNYQyXmDu3+f9sj/QeDdwO5EXFtkh2gd2vVmdrOZnRHHtUX+JwC/MLNLzexWM7vE\nzOZTovxVTsfNhJldRzS80Mlyd79m2PJUTOtnJLi7D1hH04gymtm+wJeAd7j7r832fEQ2vQzuvht4\nTvwFea2Z/UHH+UbKb2YvJ5pmf5v18OnUVNkTHOfu95vZQcB1ZrY+ebLh8u8FHA2c5e43mdmFwHuS\nFxSVvzGKw91PzJFsC7A4cXwYkbbcEv9Oxm/JL13pdMq9mJkav6n8zMwe7+4/jYcDfx7Hpz2H2uvb\nzOYQKY3PuPuVcXSrygDg7g+a2VeIFse2Qf4XAK80sz8EHgcsMLPP0A7ZAXD3++O/vzCzK4iGbtoi\n/73Ave5+U3z8ReA84Kdlyd/GoarkuOPVwOvMbG8zewJwJHCju/8U2B7PJDDgjUTuTJrCYwsczWxv\nogWOV9csUwhXA2+Kf7+JPXWa+hxqkO8x4uf+CeAH7n5h4lQrymBmB07PejGzfYATgdtogfzuvtzd\nF7v7E4jWZv2ru7+RFsgOYGbzzGy/+Pd84CRgLS2RP27/7jGzafdNLwW+D1xDWfLXafnPMEPgVCKb\nwMPAT4GvJc4tJzLmrAdOTsQfQ/SwNwIX1V2GlDK9jGimz0bgvLrlSZHv80Sr9nfEdf9mYAK4Hvgh\nsBpYOOg51Cj/8UTj62uIGtzbiNz0t6IMwDOJfLmtAe4A3h3Ht0L+hEwvZs+sqlbITmQjWBOHO6f/\nP9sifyzPs4GbgNuBLxPNqipNfi0AFEIIkYk2DlUJIYSoESkOIYQQmZDiEEIIkQkpDiGEEJmQ4hBC\nCJEJKQ4hhBCZkOIQrcHMdpvZPySOzzGz80vK+zIzO62MvAbc5zWxm+tvVH2vlHsfbmZdO2kKkRUp\nDtEmdgCnmtmi+LjMRUi58zKzLK573gL8D3c/Ie/9CvAE4PU13FeMGFIcok08Cvwj8K7OE509BjP7\nTfx30sy+aWZXmtmPzOwDZvZGM7sx3qjniYlsXmpmN5nZXWb2R3H62Wb29/H1t5vZWxP5fsvMriJy\n59Apz+lx/mvN7ANx3P8CjgM+aWZ/13H9fDO73sxuidO9MnHuf8Yb7HzLzD5nZmfH8U8ys6/FHlz/\nzcyemqiLD5nZd+IyT9fLB4AXWrQ50TvM7BlxuW6Ly/bkrA9EjCl1L41XUAgNwK+B/Yg22VkAnA2c\nH5+7FDgteW38d5JoH4uDifa12AKsiM8tBT4Y/74M+Gr8+8lEblbmAm8F/jKOn0vkxuGION/fAIen\nyHkI8BNgEdE+Gt8ATonPzdiMLJFmNtEeMgAHAhvi379P5C5lb6INqX4ILIvPfQN4cvz7ecA3EmX5\nQvz7qEReLwauSdzzIuD18e+9gMfV/YwV2hEa4x1XiBA8co3+aaJG/+HAZDd5vA+BmW0Ero3j7wSm\nXZU78M/xPTaa2Y+Jdp48CXimmb06vm4BkWLZSeRQ8ycp9/t9ov0ztsb3/CzwIuCq+HznBkEQ9f7/\nxsxeSORj6xAzO5ioh3Klu+8AdtiebVjnE3mh/X+2x1X83omyXBmXZV2cT9p9/wP4S4s2Xfqyu29M\nkUuILqQ4RBu5kMgB4KWJuJ3EQ69mNos9jSjAI4nfuxPHu+n/PzBt9zjL3a9LnrBon4nf9kmXbKSN\nmTaUNHvKG4h6Gke7+y4z20TkkjwtL4jK+kt3f24PGXakpJkppPvnzey7wMuBr5rZme5+Q4/8hHgM\n2ThE63D3XxL1Dt7CnkZ4M5FHZIi2yJyTMVsDXmMRTwKeSOQp9Frg7dMGcDN7ipnNG5DXTcCLzWyR\nmc0mci3+zQFpFhBtfrTLog2bDicq23eAV5jZXIs2pfojiHpewKbpnlAs97MG3GN6qI84zRPcfZO7\nf5ioN/TMAemFANTjEO0i+aW+EjgrcXwJcJVFW61+ncj+kJauMz9P/L6baB+CBcCZ7r7DzP6JyKZx\na7zHx8+J3Pwn087MNNo57j1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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -786,7 +776,9 @@ } ], "source": [ - "plt.scatter(run_data.N, run_data.Gini)" + "plt.scatter(run_data.N, run_data.Gini)\n", + "plt.xlabel(\"Number of agents\")\n", + "plt.ylabel(\"Gini Coefficient\")" ] }, { From d2eca298c68cf3a7d63cb00e6a1c9b96f74cf718 Mon Sep 17 00:00:00 2001 From: David Masad Date: Thu, 5 Nov 2015 23:38:16 -0500 Subject: [PATCH 13/61] accidentally a letter --- docs/intro-tutorial.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index 7a336e710bb..37bdc23e089 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -479,7 +479,7 @@ Now, we can set up and run the BatchRunner: Like the DataCollector, we can extract the data we collected as a DataFrame. Notice that each row is a model run, and gives us the parameter values associated with that run. We can use this data to view a scatter-plot comparing the number of agents to the final Gini. -.. image:: images/tutorial/bc_ginis.png +.. image:: images/tutorial/br_ginis.png :width: 100% :scale: 100% :alt: Model-level variable collected From 88a819d4e91536b584eaaeec670f932cafcee59d Mon Sep 17 00:00:00 2001 From: David Masad Date: Fri, 6 Nov 2015 09:11:44 -0500 Subject: [PATCH 14/61] Code block alignment fixing --- docs/intro-tutorial.rst | 10 ++-- .../Untitled1.ipynb | 60 +++++++++++++++++++ 2 files changed, 65 insertions(+), 5 deletions(-) create mode 100644 examples/Tutorial-Boltzmann_Wealth_Model/Untitled1.ipynb diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index 37bdc23e089..fa0ad5a8914 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -51,7 +51,7 @@ The beginning of both classes looks like this: .. code-block:: python - from mesa import Agent, Model + from mesa import Agent, Model class MoneyAgent(Agent): """ An agent with fixed initial wealth.""" @@ -59,12 +59,12 @@ The beginning of both classes looks like this: self.unique_id = unique_id self.wealth = 1 - class MoneyModel(Model): + class MoneyModel(Model): """A model with some number of agents.""" def __init__(self, N): - self.num_agents = N - # Create agents - for i in range(self.num_agents): + self.num_agents = N + # Create agents + for i in range(self.num_agents): a = MoneyAgent(i) # Now what? See below. diff --git a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled1.ipynb b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled1.ipynb new file mode 100644 index 00000000000..f28e5550934 --- /dev/null +++ b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled1.ipynb @@ -0,0 +1,60 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from mesa import Agent, Model\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "class MoneyAgent(Agent):\n", + " \"\"\" An agent with fixed initial wealth.\"\"\"\n", + " def __init__(self, unique_id):\n", + " self.unique_id = unique_id\n", + " self.wealth = 1\n", + "\n", + "class MoneyModel(Model):\n", + " \"\"\"A model with some number of agents.\"\"\"\n", + " def __init__(self, N):\n", + " self.num_agents = N\n", + " # Create agents\n", + " for i in range(self.num_agents):\n", + " a = MoneyAgent(i)\n", + " # Now what? See below." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.4.2" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} From bd3812b272fcbab8b423165ae4710a110aa77c0b Mon Sep 17 00:00:00 2001 From: David Masad Date: Fri, 6 Nov 2015 09:33:57 -0500 Subject: [PATCH 15/61] Fixing some more alignments --- docs/intro-tutorial.rst | 40 +- .../Untitled1.ipynb | 536 +++++++++++++++++- 2 files changed, 559 insertions(+), 17 deletions(-) diff --git a/docs/intro-tutorial.rst b/docs/intro-tutorial.rst index fa0ad5a8914..15ce170b1df 100644 --- a/docs/intro-tutorial.rst +++ b/docs/intro-tutorial.rst @@ -81,8 +81,8 @@ With that in mind, the model code with the scheduler added looks like this: .. code-block:: python - from mesa import Agent, Model - from mesa.time import RandomActivation + from mesa import Agent, Model + from mesa.time import RandomActivation class MoneyAgent(Agent): """ An agent with fixed initial wealth.""" @@ -94,7 +94,7 @@ With that in mind, the model code with the scheduler added looks like this: # The agent's step will go here. pass - class MoneyModel(Model): + class MoneyModel(Model): """A model with some number of agents.""" def __init__(self, N): self.num_agents = N @@ -108,6 +108,7 @@ With that in mind, the model code with the scheduler added looks like this: '''Advance the model by one step.''' self.schedule.step() + At this point, we have a model which runs -- it just doesn't do anything. You can see for yourself with a few easy lines. If you've been working in an interactive session, you can create a model object directly. Otherwise, you need to open an interactive session in the same directory as your source code file, and import the classes. For example, if your code is in ``MoneyModel.py``: .. code-block::python @@ -126,7 +127,11 @@ Then create the model object, and run it for one step: Agent step ~~~~~~~~~~ -Now we just need to have the agents do what we intend for them to do: check their wealth, and if they have the money, give one unit of it away to another random agent. +Now we just need to have the agents do what we intend for them to do: check their wealth, and if they have the money, give one unit of it away to another random agent. Since we want to use randomness, don't forget to import Python's ``random`` library: + +.. code-block:: python + + import random To pick an agent at random, we need a list of all agents. Notice that there isn't such a list explicitly in the model. The scheduler, however, does have an internal list of all the agents it is scheduled to activate. @@ -135,13 +140,13 @@ With that in mind, we rewrite the agent's ``step`` method, like this: .. code-block:: python class MoneyAgent(Agent): - # ... - def step(self, model): - if self.wealth == 0: - return - other_agent = random.choice(model.schedule.agents) - other_agent.wealth += 1 - self.wealth -= 1 + # ... + def step(self, model): + if self.wealth == 0: + return + other_agent = random.choice(model.schedule.agents) + other_agent.wealth += 1 + self.wealth -= 1 Running your first model @@ -216,7 +221,7 @@ We instantiate a grid with height and width parameters, and a boolean as to whet .. code-block:: python - class MoneyModel(Model): + class MoneyModel(Model): """A model with some number of agents.""" def __init__(self, N, width, height): self.num_agents = N @@ -278,6 +283,7 @@ And with those two methods, the agent's ``step`` method becomes: .. code-block:: python class MoneyAgent(Agent): + # ... def step(self, model): self.move(model) if self.wealth > 0: @@ -477,7 +483,15 @@ Now, we can set up and run the BatchRunner: model_reporters={"Gini": compute_gini}) batch_run.run_all() -Like the DataCollector, we can extract the data we collected as a DataFrame. Notice that each row is a model run, and gives us the parameter values associated with that run. We can use this data to view a scatter-plot comparing the number of agents to the final Gini. +Like the DataCollector, we can extract the data we collected as a DataFrame. + +.. code-block:: python + run_data = batch_run.get_model_vars_dataframe() + run_data.head() + plt.scatter(run_data.N, run_data.Gini) + + +Notice that each row is a model run, and gives us the parameter values associated with that run. We can use this data to view a scatter-plot comparing the number of agents to the final Gini. .. image:: images/tutorial/br_ginis.png :width: 100% diff --git a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled1.ipynb b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled1.ipynb index f28e5550934..0a5aaae9335 100644 --- a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled1.ipynb +++ b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled1.ipynb @@ -2,18 +2,20 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "from mesa import Agent, Model\n" + "from mesa import Agent, Model\n", + "from mesa.time import RandomActivation\n", + "import random" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": { "collapsed": true }, @@ -25,15 +27,541 @@ " self.unique_id = unique_id\n", " self.wealth = 1\n", "\n", + " def step(self, model):\n", + " if self.wealth == 0:\n", + " return\n", + " other_agent = random.choice(model.schedule.agents)\n", + " other_agent.wealth += 1\n", + " self.wealth -= 1\n", + "\n", "class MoneyModel(Model):\n", " \"\"\"A model with some number of agents.\"\"\"\n", " def __init__(self, N):\n", " self.num_agents = N\n", + " self.schedule = RandomActivation(self)\n", + " # Create agents\n", + " for i in range(self.num_agents):\n", + " a = MoneyAgent(i)\n", + " self.schedule.add(a)\n", + "\n", + " def step(self):\n", + " '''Advance the model by one step.'''\n", + " self.schedule.step()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "model = MoneyModel(10)\n", + "for i in range(10):\n", + " model.step()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 4., 0., 0., 3., 0., 0., 2., 0., 0., 1.]),\n", + " array([ 0. , 0.3, 0.6, 0.9, 1.2, 1.5, 1.8, 2.1, 2.4, 2.7, 3. ]),\n", + " )" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "agent_wealth = [a.wealth for a in model.schedule.agents]\n", + "plt.hist(agent_wealth)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 434., 302., 150., 73., 32., 9.]),\n", + " array([0, 1, 2, 3, 4, 5, 6]),\n", + " )" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "all_wealth = []\n", + "for j in range(100):\n", + " # Run the model\n", + " model = MoneyModel(10)\n", + " for i in range(10):\n", + " model.step()\n", + " # Store the results\n", + " for agent in model.schedule.agents:\n", + " all_wealth.append(agent.wealth)\n", + "\n", + "plt.hist(all_wealth, bins=range(max(all_wealth)+1))" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from mesa.space import MultiGrid" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "class MoneyModel(Model):\n", + " \"\"\"A model with some number of agents.\"\"\"\n", + " def __init__(self, N, width, height):\n", + " self.num_agents = N\n", + " self.grid = MultiGrid(height, width, True)\n", + " self.schedule = RandomActivation(self)\n", + " # Create agents\n", + " for i in range(self.num_agents):\n", + " a = MoneyAgent(i)\n", + " self.schedule.add(a)\n", + " # Add the agent to a random grid cell\n", + " x = random.randrange(self.grid.width)\n", + " y = random.randrange(self.grid.height)\n", + " self.grid.place_agent(a, (x, y))\n", + "\n", + " def step(self):\n", + " self.schedule.step()\n", + "\n", + "class MoneyAgent(Agent):\n", + " \"\"\" An agent with fixed initial wealth.\"\"\"\n", + " def __init__(self, unique_id):\n", + " self.unique_id = unique_id\n", + " self.wealth = 1\n", + "\n", + " def move(self, model):\n", + " possible_steps = model.grid.get_neighborhood(self.pos, moore=True, include_center=False)\n", + " new_position = random.choice(possible_steps)\n", + " model.grid.move_agent(self, new_position)\n", + "\n", + " def give_money(self, model):\n", + " cellmates = model.grid.get_cell_list_contents([self.pos])\n", + " if len(cellmates) > 1:\n", + " other = random.choice(cellmates)\n", + " other.wealth += 1\n", + " self.wealth -= 1\n", + "\n", + " def step(self, model):\n", + " self.move(model)\n", + " if self.wealth > 0:\n", + " self.give_money(model)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "model = MoneyModel(50, 10, 10)\n", + "for i in range(20):\n", + " model.step()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "wealth_grid = np.zeros((model.grid.width, model.grid.height))\n", + "for cell in model.grid.coord_iter():\n", + " cell_content, x, y = cell\n", + " cell_wealth = len(cell_content)\n", + " wealth_grid[y][x] = cell_wealth\n", + "plt.imshow(wealth_grid, interpolation='nearest')\n", + "plt.colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from mesa.datacollection import DataCollector" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def compute_gini(model):\n", + " agent_wealths = [agent.wealth for agent in model.schedule.agents]\n", + " x = sorted(agent_wealths)\n", + " N = model.num_agents\n", + " B = sum( xi * (N-i) for i,xi in enumerate(x) ) / (N*sum(x))\n", + " return (1 + (1/N) - 2*B)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "class MoneyModel(Model):\n", + " \"\"\"A model with some number of agents.\"\"\"\n", + " def __init__(self, N, width, height):\n", + " self.num_agents = N\n", + " self.grid = MultiGrid(height, width, True)\n", + " self.schedule = RandomActivation(self)\n", " # Create agents\n", " for i in range(self.num_agents):\n", " a = MoneyAgent(i)\n", - " # Now what? See below." + " self.schedule.add(a)\n", + " # Add the agent to a random grid cell\n", + " x = random.randrange(self.grid.width)\n", + " y = random.randrange(self.grid.height)\n", + " self.grid.place_agent(a, (x, y))\n", + " \n", + " self.datacollector = DataCollector(model_reporters={\"Gini\": compute_gini},\n", + " agent_reporters={\"Wealth\": lambda a: a.wealth})\n", + " self.running = True\n", + "\n", + " def step(self):\n", + " self.datacollector.collect(self)\n", + " self.schedule.step()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "model = MoneyModel(50, 10, 10)\n", + "for i in range(100):\n", + " model.step()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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b/docs/intro-tutorial.rst @@ -169,6 +169,7 @@ You'll probably see something like the distribution shown below. Yours will almo :width: 100% :scale: 100% :alt: Histogram of agent wealths after 10 steps. + :aligh: center To get a better idea of how a model behaves, we can create multiple model runs, and see the distribution that emerges from all of them. We can do this with a nested for loop: @@ -187,6 +188,13 @@ To get a better idea of how a model behaves, we can create multiple model runs, plt.hist(all_wealth, bins=range(max(all_wealth)+1)) +.. image:: images/tutorial/multirun_hist.png + :width: 100% + :scale: 100% + :alt: Histogram of agent wealths after 10 steps, from 100 model runs. + :aligh: center + + This runs 100 instantiations of the model, and runs each for 10 steps. (Notice that we set the histogram bins to be integers, since agents can only have whole numbers of wealth). This distribution looks a lot smoother. By running the model 100 times, we smooth out some of the 'noise' of randomness, and get to the model's overall expected behavior. This outcome might be surprising. Despite the fact that all agents, on average, give and receive one unit of money every step, the model converges to a state where most agents have a small amount of money and a small number have a lot of money. @@ -337,12 +345,17 @@ Now let's use matplotlib and numpy to visualize the number of agents residing in wealth_grid = np.zeros((model.grid.width, model.grid.height)) for cell in model.grid.coord_iter(): cell_content, x, y = cell - #cell_wealth = sum(a.wealth for a in cell_content) cell_wealth = len(cell_content) wealth_grid[y][x] = cell_wealth plt.imshow(wealth_grid, interpolation='nearest') plt.colorbar() +.. image:: images/tutorial/numpy_grid.png + :width: 100% + :scale: 100% + :alt: Agents per cell + :aligh: center + Collecting Data ~~~~~~~~~~~~~~~~~ @@ -394,6 +407,13 @@ To get the series of Gini coefficients as a pandas DataFrame: gini = model.datacollector.get_model_vars_dataframe() gini.plot() +.. image:: images/tutorial/dc_gini.png + :width: 100% + :scale: 100% + :alt: Model-level variable collected + :aligh: center + + Similarly, we can get the agent-wealth data: .. code-block:: python @@ -401,7 +421,6 @@ Similarly, we can get the agent-wealth data: agent_wealth = model.datacollector.get_agent_vars_dataframe() agent_wealth.head() - You'll see that the DataFrame's index is pairs of model step and agent ID. You can analyze it the way you would any other DataFrame. For example, to get a histogram of agent wealth at the model's end: .. code-block:: python @@ -417,6 +436,17 @@ Or to plot the wealth of a given agent (in this example, agent 14): one_agent_wealth = agent_wealth.xs(14, level="AgentID") one_agent_wealth.Wealth.plot() + +.. image:: images/tutorial/dc_endwealth.png + :width: 50% + :alt: Model-level variable collected + :aligh: center + +.. image:: images/tutorial/dc_oneagent.png + :width: 50% + :alt: Model-level variable collected + :aligh: center + Batch Run ~~~~~~~~~~~ diff --git a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb index 28a32eec20d..3690413f0fd 100644 --- a/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb +++ b/examples/Tutorial-Boltzmann_Wealth_Model/Untitled.ipynb @@ -129,7 +129,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 11, "metadata": { "collapsed": false }, @@ -137,20 +137,18 @@ { "data": { "text/plain": [ - "(array([ 440., 293., 152., 74., 27., 14.]),\n", - " array([0, 1, 2, 3, 4, 5, 6]),\n", - " )" + "" ] }, - "execution_count": 37, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -167,7 +165,9 @@ " # Store the results\n", " for agent in model.schedule.agents:\n", " all_wealth.append(agent.wealth)\n", - "plt.hist(all_wealth, bins=range(max(all_wealth)+1))" + "plt.hist(all_wealth, bins=range(max(all_wealth)+1))\n", + "plt.xlabel(\"Wealth\")\n", + "plt.ylabel(\"# of Agents\")" ] }, { @@ -179,7 +179,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 12, "metadata": { "collapsed": true }, @@ -190,7 +190,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 13, "metadata": { "collapsed": false }, @@ -217,7 +217,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 14, "metadata": { "collapsed": true }, @@ -249,7 +249,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 15, "metadata": { "collapsed": false }, @@ -262,7 +262,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 16, "metadata": { "collapsed": true }, @@ -273,7 +273,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 17, "metadata": { "collapsed": false }, @@ -281,18 +281,18 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 54, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -319,7 +319,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 18, "metadata": { "collapsed": true }, @@ -330,7 +330,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 19, "metadata": { "collapsed": true }, @@ -346,7 +346,7 @@ }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 20, "metadata": { "collapsed": true }, @@ -377,7 +377,7 @@ }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 21, "metadata": { "collapsed": true }, @@ -390,26 +390,88 @@ }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { + "text/html": [ + "