Created
February 16, 2012 04:12
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Schelling Model
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#!/usr/bin/python | |
import Tkinter as Tk | |
import random | |
class Schelling(): | |
"""A Schelling model. | |
This is a model of a city undergoing dynamic racial segregation.""" | |
race_colors = ["#F9C", "#000", "#FF0", "#F00", "#533"] | |
def __init__(self, width, height, races = 2): | |
self.width = width | |
self.height = height | |
self.races = races | |
self.race_array = [[0] * height for x in range(width)] | |
self.tk_array = [[None] * height for x in range(width)] | |
self.empty_spaces = [] | |
def populate(self): | |
self.empty_spaces = [] | |
for x in range(self.width): | |
for y in range(self.height): | |
if random.randint(0, 9) == 0: | |
self.race_array[x][y] = 0 | |
self.empty_spaces.append((x, y)) | |
else: | |
self.race_array[x][y] = random.randint(1, self.races) | |
def use_canvas(self, canvas, w, h): | |
"""Fills the canvas with objects""" | |
self.canvas = canvas | |
self.canvas_w = w | |
self.canvas_h = h | |
tile_w = self.canvas_w / self.width | |
tile_h = self.canvas_h / self.height | |
for x in range(self.width): | |
for y in range(self.height): | |
if self.race_array[x][y] == 0: | |
self.tk_array[x][y] = None | |
else: | |
race = self.race_array[x][y] | |
self.tk_array[x][y] = \ | |
self.canvas.create_rectangle(x * tile_w, y * tile_h, | |
(x+1) * tile_w, (y+1) * tile_h, | |
fill=Schelling.race_colors[race - 1]) | |
def update(self, n): | |
"""Perform N iterations of the is_unhappy check.""" | |
for i in range(n): | |
x = random.randint(0, self.width - 1) | |
y = random.randint(0, self.height - 1) | |
if self.is_unhappy(x,y): | |
self.move_to_empty(x, y) | |
def move_to_empty(self, x1, y1): | |
"""Moves to an empty cell.""" | |
new_cell = random.randint(0, len(self.empty_spaces) - 1) | |
x2, y2 = self.empty_spaces[new_cell] | |
self.race_array[x1][y1], self.race_array[x2][y2] = self.race_array[x2][y2], self.race_array[x1][y1] | |
tile_w = self.canvas_w / self.width | |
tile_h = self.canvas_h / self.height | |
self.canvas.coords(self.tk_array[x1][y1], x2 * tile_w, y2 * tile_h, (x2+1) * tile_w, (y2+1) * tile_h) | |
self.tk_array[x1][y1], self.tk_array[x2][y2] = self.tk_array[x2][y2], self.tk_array[x1][y1] | |
self.empty_spaces[new_cell] = (x1,y1) | |
def is_unhappy(self, x, y): | |
"""A square is unhappy if it does not have at least two similar neighbours. | |
Empty squares are never unhappy.""" | |
me = self.race_array[x][y] | |
if me == 0: | |
return False | |
count = 0 | |
if x > 0 and self.race_array[x-1][y] == me: | |
count += 1 | |
if x < self.width - 1 and self.race_array[x+1][y] == me: | |
count += 1 | |
if y > 0 and self.race_array[x][y-1] == me: | |
count += 1 | |
if y < self.height - 1 and self.race_array[x][y+1] == me: | |
count += 1 | |
return count < 2 | |
class SchellingApp(): | |
def __init__(self, w = 400, h = 400): | |
self.root = Tk.Tk() | |
self.w = w | |
self.h = h | |
self.simulation = Schelling(100, 100, 4) | |
self.simulation.populate() | |
self.canvas = Tk.Canvas(self.root, width = w, height = h) | |
self.canvas.grid(column = 0, row = 0) | |
self.simulation.use_canvas(self.canvas, w, h) | |
self.canvas.after(8, self.update) | |
self.root.mainloop() | |
def update(self): | |
self.simulation.update(20) | |
self.canvas.after(8, self.update) | |
if __name__ == '__main__': | |
app = SchellingApp() |
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Hi,
Can you please explain why you did not use "agents" to create this agent-based model?
Thank you