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A toy agent based model that simulates the cycle of going in and out of rehab
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<head> | |
<meta charset="utf-8" /> | |
</head> | |
<body> | |
<svg></svg> | |
</body> | |
<script src="d3.v5.min.js"></script> | |
<!-- <script src="https://cdn.jsdelivr.net/npm/vue@2.5.17/dist/vue.js"></script> --> | |
<script src="d3-jetpack.js"></script> | |
<script> | |
var width = 800, | |
height = 800, | |
agent_r = 5, | |
margin = {top: 10, left: 15, right: 15, bottom: 15}, | |
n_people = 200, | |
n_rehab = 5, | |
round_interval = 24, | |
turn = 1, | |
rounds = 0, | |
record_main = [], | |
record_unchange, | |
record_turn = []; | |
//====================================// | |
//----- Create agents ================// | |
//====================================// | |
function get_agents(){ | |
var rehabs = [...Array(n_rehab).keys()] | |
.map(function(x){ | |
return( | |
{ | |
id: "Rehab_" + (x + 1), | |
type: "rehab", | |
rate: Math.random() * .8 + .1 | |
} | |
) | |
}) | |
var posts = [ | |
{id: "Sober_House", type: "post", rate: Math.random() * .4 + .1}, | |
{id: "Nothing", type: "post", rate: Math.random() * .4 + .5} | |
] | |
var people = [...Array(n_people).keys()] | |
.map(function(x){ | |
return( | |
{ | |
id: x, | |
stable: false, | |
type: 'person' | |
} | |
) | |
}) | |
return({people, allLocations: {rehab: rehabs, post: posts}}) | |
} | |
var agents = get_agents(); | |
// Make deep copy after first round but before removing first rehab | |
// use this to make a counterfactual | |
var agents_unchanged = JSON.parse(JSON.stringify(agents)); | |
//====================================// | |
//------- Create Edgelist ------------// | |
//====================================// | |
function get_edge_list(agents){ | |
var edge_list = agents.people | |
.map(x =>{ | |
info ={ | |
from: x.id, | |
to: "Nothing", | |
to_type: "post", | |
stable: x.stable, | |
x: choose.x('post'), | |
y: choose.y('post', 'Nothing') | |
} | |
info.to_next = info.to | |
info.to_type_next = info.to_type | |
info.x_next = info.x | |
info.y_next = info.y | |
info.stable_next = info.stable | |
return(info) | |
}) | |
return(edge_list) | |
} | |
var abm_xaxis = d3.scaleBand() | |
.domain(['rehab', 'post']) | |
.range([margin.left, width/2 - margin.right]) | |
.paddingInner(.1) | |
var rehab_axis = d3.scaleBand() | |
.domain(agents.allLocations.rehab.map(x => x.id)) | |
.range([margin.top, height - margin.top]) | |
.paddingInner(.1) | |
var post_axis = d3.scaleBand() | |
.domain(agents.allLocations.post.map(x => x.id)) | |
.range([margin.top, height - margin.bottom]) | |
.paddingInner(.1) | |
var analysis_xaxis = d3.scaleLinear() | |
.domain([0, turn * round_interval]) | |
.range([margin.left +width/2, width - margin.right]) | |
var analysis_yaxis = d3.scaleLinear() | |
.domain([0, 1]) | |
.range([height/2-margin.bottom, margin.top]) | |
var abm_yaxis = { | |
rehab: rehab_axis, | |
post: post_axis | |
} | |
var choose = { | |
x: type => Math.random() * (abm_xaxis.bandwidth() - 2 * agent_r) + abm_xaxis(type) + agent_r, | |
y: (type, id) => Math.random() * (abm_yaxis[type].bandwidth() - 2 * agent_r) + abm_yaxis[type](id) + agent_r | |
} | |
var edge_list = get_edge_list(agents); | |
// Make deep copy after first round but before removing first rehab | |
// use this to make a counterfactual | |
var edge_list_unchanged = JSON.parse(JSON.stringify(edge_list)); | |
function checkStability(edge){ | |
if(edge.to_type_next == 'rehab'){ | |
return( | |
Math.random() <= agents.allLocations['rehab'].filter(x => x.id == edge.to_next)[0].rate | |
) | |
} | |
if(!edge.stable){ | |
return(edge.stable) | |
} | |
return( | |
Math.random() > agents.allLocations['post'].filter(x => x.id == edge.to_next)[0].rate | |
) | |
} | |
function get_next(edge){ | |
if(edge.to_type == 'rehab'){ | |
edge.to_type_next = 'post', | |
edge.to_next = agents.allLocations[edge.to_type_next][Math.floor(Math.random() * agents.allLocations[edge.to_type_next].length)].id, | |
edge.x_next = choose.x(edge.to_type_next) | |
edge.y_next = choose.y(edge.to_type_next, edge.to_next) | |
return(edge) | |
} | |
if(edge.stable){ | |
edge.to_type_next = 'post' | |
edge.to_next = edge.to | |
edge.x_next = edge.x | |
edge.y_next = edge.y | |
return(edge) | |
} | |
if(!edge.stable){ | |
edge.to_type_next = 'rehab' | |
edge.to_next = agents.allLocations[edge.to_type_next][Math.floor(Math.random() * agents.allLocations[edge.to_type_next].length)].id, | |
edge.x_next = choose.x(edge.to_type_next) | |
edge.y_next = choose.y(edge.to_type_next, edge.to_next) | |
return(edge) | |
} | |
} | |
function change_turn(edge){ | |
edge.to = edge.to_next | |
edge.to_type = edge.to_type_next | |
edge.x = edge.x_next | |
edge.y = edge.y_next | |
edge.stable = edge.stable_next | |
edge = get_next(edge) | |
edge.stable_next = checkStability(edge) | |
return(edge) | |
} | |
var svg = d3.select('svg') | |
.at({width, height}) | |
function draw_system(){ | |
svg.select('g#abmAnimation') | |
.remove() | |
abm_animation = svg | |
.append('g#abmAnimation') | |
.at({width: width/2, | |
height: height}) | |
abm_animation | |
.appendMany('rect', agents.allLocations.rehab.concat(agents.allLocations.post)) | |
.at({x: (d) => abm_xaxis(d.type), | |
y: (d) => d.type == 'rehab' ? rehab_axis(d.id) : post_axis(d.id), | |
width: abm_xaxis.bandwidth(), | |
height: (d) => d.type == "rehab" ? rehab_axis.bandwidth() : post_axis.bandwidth(), | |
id: d => d.id | |
}) | |
.st({ | |
stroke: 'black', | |
fill: "lightgrey" | |
}) | |
abm_animation | |
.appendMany('rect', agents.allLocations.rehab.concat(agents.allLocations.post)) | |
.at({x: (d) => abm_xaxis(d.type), | |
y: (d) => d.type == 'rehab' ? rehab_axis(d.id) : post_axis(d.id), | |
width: abm_xaxis.bandwidth(), | |
height: (d) => d.type == "rehab" ? rehab_axis.bandwidth() : post_axis.bandwidth(), | |
id: d => d.id + "_cover" | |
}) | |
.st({ | |
stroke: 'none', | |
fill: "white" | |
}) | |
abm_animation | |
.appendMany('text', agents.allLocations.rehab.concat(agents.allLocations.post)) | |
.translate( d => [abm_xaxis(d.type) + (abm_xaxis.bandwidth()/2), | |
d.type == 'rehab' ? rehab_axis(d.id) + (rehab_axis.bandwidth()/2) : post_axis(d.id) + (post_axis.bandwidth()/2)]) | |
.at({ | |
stroke: 'black', | |
textAnchor: 'middle', | |
id: d => d.id + '_text' | |
}) | |
.tspans(d => [d.id.replace('_', ' '), | |
d.type == 'rehab' ? `\u03B1 = ${Math.round(d.rate * 1000)/1000}` : `\u03B2 = ${Math.round(d.rate * 1000)/1000}`], | |
25) | |
abm_agents = abm_animation | |
.appendMany('circle.addictAgent', edge_list) | |
.at({cx: d => d.x, | |
cy: d => d.y, | |
r: 5, | |
fill: 'red', | |
fillOpacity: .9, | |
stroke: 'black' | |
}) | |
} | |
draw_system() | |
var analysis_animation = svg | |
.append('g#analysisAnimation') | |
.at({width: width/2, | |
height: height/2, | |
x: width/2}) | |
var stable_line = analysis_animation | |
.append('path') | |
.st({fill: 'transparent', stroke: 'black'}) | |
analysis_animation | |
.append('g#analysis_xaxis') | |
.translate([0, height/2-margin.bottom]) | |
.call(d3.axisBottom(analysis_xaxis)) | |
analysis_animation | |
.append('g') | |
.translate([width/2 + margin.left,0]) | |
.call(d3.axisLeft(analysis_yaxis)) | |
var line = d3.line() | |
.x(function(d) { return analysis_xaxis(d.t); }) | |
.y(function(d) { return analysis_yaxis(d.p_stable); }); | |
function move(record_full, record_temp){ | |
let n_stable = edge_list | |
.map(el => el.stable_next) | |
.reduce((a,b) => a + b) | |
let analysis = { | |
t: record_full.length, | |
p_stable: n_stable/n_people | |
} | |
agents.allLocations.rehab.map(function(rehab){ | |
let visitors = edge_list | |
.filter(x => x.to_next == rehab.id) | |
analysis[rehab.id + '_total'] = visitors.length | |
analysis[rehab.id + '_stable'] = visitors.filter(x => x.stable_next).length | |
}) | |
record_full.push(analysis) | |
record_temp.push(analysis) | |
rate_rehabs(record_temp) | |
.map(function(x){ | |
d3.select('#' + x.id + '_cover') | |
.attr("height", rehab_axis.bandwidth() * (1 - x.recovery_rate)) | |
}) | |
edge_list = edge_list.map(change_turn) | |
stable_line | |
.datum(record_full) | |
.attr('d', line) | |
abm_agents | |
.data(edge_list) | |
.transition() | |
.duration(400) | |
.at({cx: d=> d.x_next, | |
cy: d=> d.y_next}) | |
.on('end', function(){ | |
d3.selectAll('circle') | |
.style('fill', d => d.stable_next ? 'white' : 'red') | |
}) | |
} | |
function rate_rehabs(record_temp){ | |
let info = agents.allLocations.rehab.map(function(rehab){ | |
let tot = record_temp.map(x => x[rehab.id + '_total']) | |
.reduce((a,b) => a + b); | |
let stable = record_temp.map(x => x[rehab.id + '_stable']) | |
.reduce((a,b) => a + b); | |
let recovery_rate = !tot ? 0 : stable/tot; | |
let info = {id: rehab.id, recovery_rate}; | |
return(info) | |
}) | |
return(info) | |
} | |
function least_successful(record_temp){ | |
let least_successful = rate_rehabs(record_temp) | |
.filter(x => x.recovery_rate == d3.min(rate_rehabs(record_temp), d => d.recovery_rate)) | |
return(least_successful[0]) | |
} | |
function system_animate(record_full, record_temp, t_stop){ | |
var demo = setInterval(function(){ | |
rounds += 1; | |
if(rounds > t_stop){clearInterval(demo)} | |
move(record_full, record_temp) | |
}, 500) | |
} | |
function reset_analysis(record_full, domain_max){ | |
d3.select('g#analysis_xaxis') | |
.remove() | |
analysis_xaxis | |
.domain([0, domain_max]) | |
analysis_animation | |
.append('g#analysis_xaxis') | |
.translate([0, height/2-margin.bottom]) | |
.call(d3.axisBottom(analysis_xaxis)) | |
stable_line | |
.datum(record_full) | |
.attr('d', line) | |
} | |
function remove_weak_rehab(record_temp){ | |
let to_remove = least_successful(record_temp).id | |
d3.select('#' + to_remove).remove() | |
d3.select('#' + to_remove + '_cover').remove() | |
d3.select('#' + to_remove + '_text').remove() | |
agents.allLocations.rehab = agents.allLocations.rehab.filter(x => x.id != least_successful(record_temp).id) | |
agents.allLocations.rehab = agents.allLocations.rehab | |
.filter(x => x.id != to_remove) | |
edge_list | |
.filter(x => x.to_next == least_successful(record_temp).id) | |
.map(function(edge) { | |
edge = get_next(edge) | |
edge.stable_next = checkStability(edge) | |
return(edge) | |
}) | |
} | |
// system_animate(record_main, record_turn, round_interval) | |
//how do we add record_turn as a varible? | |
function next_round(record_full){ | |
if(turn == 1){ | |
system_animate(record_full, record_turn, turn * round_interval) | |
} | |
if(turn > 1 && turn <= n_rehab){ | |
remove_weak_rehab(record_turn) | |
record_turn = [] | |
reset_analysis(record_full, turn * round_interval) | |
system_animate(record_full, record_turn, turn * round_interval) | |
} | |
turn += 1 | |
} | |
function reset_game(){ | |
agents = get_agents() | |
edge_list = get_edge_list(agents) | |
record_main = [] | |
record_turn = [] | |
rounds = 0 | |
turn = 1; | |
draw_system() | |
d3.select('g#analysis_xaxis') | |
.remove() | |
analysis_xaxis | |
.domain([0, turn * round_interval]) | |
analysis_animation | |
.append('g#analysis_xaxis') | |
.translate([0, height/2-margin.bottom]) | |
.call(d3.axisBottom(analysis_xaxis)) | |
next_round(record_main) | |
} | |
</script> |
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