The Magic of a One Percent Increase in Growth

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Visualize the Behavior Space in Netlogo: 1.1

Last month, I posted code for visualizing the behavior-space using Python to process data from NetLogo. See that post for the netlogo template you will want to use. The py file I posted before was not the easiest to interpret or to work with. It required that a programmer plan ahead, noting the position of runs with particular values for exogenously determined parameters. I rewrote the code so that the data processing is more efficient and easier to work with. The instance I am posting works with a behavior space where only two variables have been set exogenously across runs.  However, if it was necessary, a third or fourth variable could be altered in the same set of runs so long as that third and/or fourth variable was assigned a particular value as runs are collected in lines 196-209. Also note that I have reduced the variety of heatmaps presented since only one is required to convey the process. I loop the image generator code to create a series of frames.

I may eventually post such an extension of the code if I generate output that requires this in the future. For now, I wanted to leave you with something easier to work with. Remember, you should end up with something that looks like this (from earlier post):

See the updated code below:

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from __future__ import print_function import numpy as np import matplotlib.pyplot as plt import matplotlib.cm as cm import pandas as pd from matplotlib.backends.backend_pdf import PdfPages # of csv files generated by netlogo = # of runs files = 1280 # length of each run of the model ticks = 50 # these are the values of interest # in this case we adjusted water metabolism and sugar metabolism axis_values = np.array([.45, .5, .55, .6, .65, .7, .75, .8]) # length of x-axis and y-axis for heatmap num_x = len(axis_values) num_y = num_x runs_per_setting = 20 # min and max x and y parameters for heatmap min_sugar_metabolism = .45 max_sugar_metabolism = .8 min_water_metabolism = .45 max_water_metabolism = .8 # increments tested (here we assume constant increment, could be logged, quadratic, etc...) inc_sugar = .05 inc_water = .05 # set up names of each column of data from csv names = pd.Series([ 'sugar_metabolism_rate', 'water_metabolism_rate', 'sugar', 'water', 'mean_price', 'price_variance', 'population', 'basic_only', 'basic_herder', 'basic_arbitrageur', 'basic_herder_arbitrageur', 'switcher_only', 'switcher_herder', 'switcher_arbitrageur', 'switcher_herder_arbitrageur', 'percent_basic', 'percent_arbitrageur', 'percent_herder', 'percent_switcher', 'basic_only_wealth', 'basic_herder_wealth', 'basic_arbitrageur_wealth', 'basic_herder_arbitrageur_wealth', 'switcher_only_wealth', 'switcher_herder_wealth', 'switcher_arbitrageur_wealth', 'switcher_herder_arbitrageur_wealth', 'sugar_flow', 'water_flow', 'distance_from_equilibrium_price', 'fifty_period_RAP', 'mean_rate_of_price_change']) # names dict used to instantiate an m X n array that will be used # to keep track of the average value of each variable at each tick for each category # will be inserted into mean_values dataframe names_dict = { 'sugar_metabolism_rate': [np.arange(ticks)], 'water_metabolism_rate': [np.arange(ticks)], 'sugar': [np.arange(ticks)], 'water': [np.arange(ticks)], 'mean_price': [np.arange(ticks)], 'price_variance': [np.arange(ticks)], 'population': [np.arange(ticks)], 'basic_only': [np.arange(ticks)], 'basic_herder': [np.arange(ticks)], 'basic_arbitrageur': [np.arange(ticks)], 'basic_herder_arbitrageur': [np.arange(ticks)], 'switcher_only': [np.arange(ticks)], 'switcher_herder': [np.arange(ticks)], 'switcher_arbitrageur': [np.arange(ticks)], 'switcher_herder_arbitrageur': [np.arange(ticks)], 'percent_basic': [np.arange(ticks)], 'percent_arbitrageur': [np.arange(ticks)], 'percent_herder': [np.arange(ticks)], 'percent_switcher': [np.arange(ticks)], 'basic_only_wealth': [np.arange(ticks)], 'basic_herder_wealth': [np.arange(ticks)], 'basic_arbitrageur_wealth': [np.arange(ticks)], 'basic_herder_arbitrageur_wealth': [np.arange(ticks)], 'switcher_only_wealth': [np.arange(ticks)], 'switcher_herder_wealth': [np.arange(ticks)], 'switcher_arbitrageur_wealth': [np.arange(ticks)], 'switcher_herder_arbitrageur_wealth': [np.arange(ticks)], 'sugar_flow': [np.arange(ticks)], 'water_flow': [np.arange(ticks)], 'distance_from_equilibrium_price': [np.arange(ticks)], 'fifty_period_RAP': [np.arange(ticks)], 'basic_only_wealth_per_capita': [np.arange(ticks)], 'basic_herder_wealth_per_capita': [np.arange(ticks)], 'basic_arbitrageur_wealth_per_capita': [np.arange(ticks)], 'basic_herder_arbitrageur_wealth_per_capita': [np.arange(ticks)], 'switcher_only_wealth_per_capita': [np.arange(ticks)], 'switcher_herder_wealth_per_capita': [np.arange(ticks)], 'switcher_arbitrageur_wealth_per_capita': [np.arange(ticks)], 'switcher_herder_arbitrageur_wealth_per_capita': [np.arange(ticks)], 'percent_basic_only': [np.arange(ticks)], 'percent_basic_herder': [np.arange(ticks)], 'percent_basic_arbitraguer': [np.arange(ticks)], 'percent_basic_herder_arbitraguer': [np.arange(ticks)], 'percent_switcher_only': [np.arange(ticks)], 'percent_switcher_herder': [np.arange(ticks)], 'percent_switcher_arbitraguer': [np.arange(ticks)], 'percent_switcher_herder_arbitraguer': [np.arange(ticks)], } # Lists for used to generate new categories of data new_category = pd.Series([ 'basic_only_wealth_per_capita', 'basic_herder_wealth_per_capita', 'basic_arbitrageur_wealth_per_capita', 'basic_herder_arbitrageur_wealth_per_capita', 'switcher_only_wealth_per_capita', 'switcher_herder_wealth_per_capita', 'switcher_arbitrageur_wealth_per_capita', 'switcher_herder_arbitrageur_wealth_per_capita', 'percent_basic_only', 'percent_basic_herder', 'percent_basic_arbitrageur', 'percent_basic_herder_arbitrageur', 'percent_switcher_only', 'percent_switcher_herder', 'percent_switcher_arbitrageur', 'percent_switcher_herder_arbitrageur']) numerator_category = pd.Series([ 'basic_only_wealth', 'basic_herder_wealth', 'basic_arbitrageur_wealth', 'basic_herder_arbitrageur_wealth', 'switcher_only_wealth', 'switcher_herder_wealth', 'switcher_arbitrageur_wealth', 'switcher_herder_arbitrageur_wealth', 'basic_only', 'basic_herder', 'basic_arbitrageur', 'basic_herder_arbitrageur', 'switcher_only', 'switcher_herder', 'switcher_arbitrageur', 'switcher_herder_arbitrageur']) denominator_category = pd.Series([ 'basic_only', 'basic_herder', 'basic_arbitrageur', 'basic_herder_arbitrageur', 'switcher_only_wealth', 'switcher_herder_wealth', 'switcher_arbitrageur_wealth', 'switcher_herder_arbitrageur', 'population', 'population', 'population', 'population', 'population', 'population', 'population', 'population']) def process_data(): # Dataframe will house the average values of each variable across runs for some given # pair of parameters mean_values = pd.DataFrame(columns = [np.arange(num_x)], index = [np.arange(num_y)]) for x in range(0,num_x): for y in range(0,num_y): mean_values[x][y] = pd.DataFrame(names_dict) # import csvs using names array as headers for each column # order of elements in names array should match order of objects recorded # during runs in NetLogo for i in range(1, files + 1): filename = str(i) + 'sugarscapeGlobalTradeBasics.csv' runs = pd.read_csv(filename, names = names) for x in range(len(new_category)): add_per_capita_categories(runs, new_category[x], numerator_category[x], denominator_category[x]) c = 0 # Find runs whose fixed parameter values match the values for the target # coordinates in mean values, will eventually transfer to heatmap for a in axis_values: if runs.iloc[0]['sugar_metabolism_rate'] == a: # round(a,2): for b in axis_values: if runs.iloc[0]['water_metabolism_rate'] == b: # round(b,2): x = int(round(((b - min_water_metabolism) / inc_water),0)) y = int(round(((a - min_sugar_metabolism) / inc_sugar),0)) if c < 1: # avoid error in 0th element of each category mean_values[x][y] = runs else: # once the first run data has been placed mean_values[x][y] = mean_values[x][y].add(runs, fill_value = 0) c += 1 mean_values = mean_values / runs_per_setting print_behavior_space_representation(mean_values) ############################################################################################## ############################################################################################## def add_per_capita_categories(target_array, per_capita_name, per_capita_numerator, population_denominator): target_array[per_capita_name] = target_array[per_capita_numerator] / target_array[population_denominator] def initialize_image(num_x, num_y): image = [] for i in range(num_y): x_colors = [] for j in range(num_x): x_colors.append(0) image.append(x_colors) return image def color_points(title, filename, category, mean_values,pp, tick, min_val, max_val): # x_p = num_x # y_p = num_y image = initialize_image(num_x, num_y) for i in range(0, num_x): for j in range(0, num_y): image[i][j] = mean_values[i][j].iloc[tick][category] print(image) plt.imshow(image, origin='lower', extent=(min_sugar_metabolism, max_sugar_metabolism, min_water_metabolism, max_water_metabolism), cmap=cm.Greys_r, interpolation = 'nearest') plt.colorbar() plt.clim(min_val, max_val) plt.xlabel('Water Consumption Rate') plt.ylabel('Sugar Consumption Rate') plt.title(title + " " + str(tick + 1) + " Ticks") fig = plt.gcf() plt.show() plt.draw() pp.savefig(fig) # fig.savefig(filename + ".pdf") def print_behavior_space_representation(data): interval = 1 pp = PdfPages('population_local_basic_tick_50.pdf') for q in range(1, ticks, interval): color_points("Population\nGlobal Trade Basic","Population Global Trade Basic", "population", data, pp, q, 0, 300) plt.close('all') pp.close() if __name__ == '__main__': np.save('data', process_data()) np.load('data.npy')