A simple visualization of inpulse response functions for carbon dioxide and methane emissions. These functions help scientists quantify Global Warming Potentials.
Created
January 11, 2016 19:33
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Impulse Response
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<!DOCTYPE html> | |
<meta charset="utf-8"> | |
<style type="text/css"> | |
body { | |
width: 1024px; | |
margin-top: 0; | |
margin: auto; | |
font-family: "Lato", "PT Serif", serif; | |
color: #222222; | |
padding: 0; | |
font-weight: 300; | |
line-height: 33px; | |
font-size: 24px; | |
-webkit-font-smoothing: antialiased; | |
} | |
.line{ | |
fill: none; | |
stroke: #000;; | |
stroke-width: 4px; | |
} | |
.co2{ | |
stroke: #7f8c8d; | |
} | |
.ch4{ | |
stroke: #f1c40f; | |
} | |
.axis path, | |
.axis line { | |
fill: none; | |
stroke: none; | |
shape-rendering: crispEdges; | |
} | |
.box{ | |
fill:#ecf0f1; | |
stroke: #2c3e50; | |
stroke-dasharray: 2px,2px; | |
} | |
.overlay { | |
fill: none; | |
pointer-events: all; | |
} | |
.focus{ | |
fill:#2c3e50; | |
font-size: 24px; | |
} | |
</style> | |
<body> | |
<script src="//d3js.org/d3.v3.min.js"></script> | |
<script> | |
var margin = { top: 20, right: 200, bottom: 70, left: 200 }, | |
width = 960 - margin.left - margin.right, | |
height = 540 - margin.top - margin.bottom, | |
chart_top_margin = height*2/3, | |
n = 100, | |
methane_lifetime = 12; // years | |
var svg = d3.select('body').append('svg') | |
.attr('width', width + margin.left + margin.right) | |
.attr('height', height + margin.top + margin.bottom) | |
.append('g') | |
.attr('transform', 'translate(' + margin.left + ',' + margin.top + ')'); | |
// Legend | |
legendco2 = svg.append('g').attr('transform', 'translate(' + 10 + ',' + 0 + ')'); | |
legendco2.append('rect') | |
.attr('x', -10) | |
.attr('y', 10) | |
.attr('width', 100) | |
.attr('height', 30) | |
.attr('rx', 4) | |
.attr('ry', 4) | |
.style('fill', '#7f8c8d'); | |
legendco2.append('text') | |
.attr('x', 40) | |
.attr('y', 33) | |
.style('text-anchor', 'middle') | |
.style('fill', '#fff') | |
.text('CO2') | |
legendch4 = svg.append('g').attr('transform', 'translate(' + (width - 90) + ',' + 0 + ')'); | |
legendch4.append('rect') | |
.attr('x', -10) | |
.attr('y', 10) | |
.attr('width', 100) | |
.attr('height', 30) | |
.attr('rx', 4) | |
.attr('ry', 4) | |
.style('fill', '#f1c40f'); | |
legendch4.append('text') | |
.attr('x', 40) | |
.attr('y', 33) | |
.style('text-anchor', 'middle') | |
.text('CH4') | |
// Circles and Hull | |
var fill = d3.scale.threshold().domain([0.5]).range(['#7f8c8d', '#f1c40f']), | |
nodes = d3.range(200).map(function(d,i){ return {id: i% 2 ? 1:0} }), | |
hulls = svg.append('g'), | |
counts = {c:100, m: 100}, | |
mouselast = 0; | |
var groups = d3.nest().key(function(d) { return d.id % 2; }).entries(nodes); | |
var groupPath = function(d) { | |
return "M" + | |
d3.geom.hull(d.values.map(function(i) { return [i.x, i.y]; })) | |
.join("L") | |
+ "Z"; | |
}; | |
var groupFill = function(d, i) { return fill(+d.key); }; | |
var circleFill = function(d, i) { return fill(+d.id); }; | |
var force = d3.layout.force() | |
.nodes(nodes) | |
.links([]) | |
.size([width, height*0.6]) | |
.gravity(0.3) | |
.friction(0.7) | |
.start(); | |
var node = hulls.selectAll(".node") | |
start() | |
force.on("tick", function(e) { | |
// Push different nodes in different directions for clustering. | |
var k = 2.5 * e.alpha; | |
nodes.forEach(function(o, i) { | |
o.x += o.id % 2 ? k : -k; | |
o.y += o.id % 2 ? k : -k; | |
}); | |
node.attr("cx", function(d) { | |
var radius = d3.select(this).attr('r') | |
return d.x = Math.max(radius, Math.min(width - radius, d.x)); | |
}) | |
.attr("cy", function(d) { | |
var radius = d3.select(this).attr('r') | |
return d.y = Math.max(radius, Math.min(height*0.6 - radius, d.y)) | |
}); | |
hulls.selectAll("path") | |
.data(groups) | |
.attr("d", groupPath) | |
.enter().insert("path", "circle") | |
.style("fill", groupFill) | |
.style("stroke", groupFill) | |
.style("stroke-width", 20) | |
.style("stroke-linejoin", "round") | |
.style("opacity", .2) | |
.attr("d", groupPath); | |
node.style("fill", function(d){ return circleFill(d)}) | |
}); | |
function start(){ | |
node = node.data(force.nodes()); | |
node.enter().append("circle") | |
.attr("class", "node") | |
.attr("cx", function(d) { return d.x; }) | |
.attr("cy", function(d) { return d.y; }) | |
.attr("r", 8) | |
.style("fill", function(d){ return circleFill(d)}) | |
.style("stroke", 'none') | |
.style("stroke-width", 1.5) | |
.call(force.drag); | |
node.exit().remove(); | |
groups = d3.nest().key(function(d) { return d.id % 2; }).entries(force.nodes()); | |
force.start(); | |
} | |
// Chart and Updates | |
var bisectDate = d3.bisector(function(d) { return d.x; }).left; | |
var inpulse_responce_co2 = function(t){ | |
// valid for t < 1000 years | |
return 0.217 + 0.259*Math.exp(-t/172.9) + 0.338*Math.exp(-t/18.51) + 0.186*Math.exp(-t/1.186) | |
} | |
var inpulse_responce_ch4 = function(t){ | |
// valid for t < 1000 years | |
return Math.exp(-t/methane_lifetime) | |
} | |
var bisect = function(data, x0){ | |
var i = bisectDate(data, x0, 1), | |
d0 = data[i - 1], | |
d1 = data[i], | |
d = x0 - d0.x > d1.x - x0 ? d1 : d0; | |
return d | |
} | |
var co2data = d3.range(n+1).map(function(d,i) { return {x:i, y:inpulse_responce_co2(i)}; }); | |
var ch4data = d3.range(n+1).map(function(d,i) { return {x:i, y:inpulse_responce_ch4(i)}; }); | |
var chart = svg.append('g') | |
.attr('transform', 'translate(' + 0 + ',' + chart_top_margin + ')'); | |
var x = d3.scale.linear().domain([0, n]).range([0, width]); | |
var y = d3.scale.linear().domain([0, 1]).range([height/3, 0]); | |
var line = d3.svg.line().interpolate("basis") | |
.x(function(d, i) { return x(d.x); }) | |
.y(function(d, i) { return y(d.y); }); | |
chart.append("rect") | |
.attr("width", width) | |
.attr("height", height/3) | |
.attr('class', 'box'); | |
var yaxis = chart.append("g") | |
.attr("class", "y axis") | |
.call(y.axis = d3.svg.axis().scale(y).orient("left").ticks(3)) | |
.append("text") | |
.attr("class", "label") | |
//.attr("transform", "rotate(-90)") | |
.attr("y", 10) | |
.attr("x", width-50) | |
.attr("dy", ".71em") | |
.style("text-anchor", "end") | |
.style('font-size', '12') | |
.text("Fraction of Emissions Impulse Remaining") | |
var xaxis = chart.append("g") | |
.attr("class", "x axis") | |
.attr("transform", "translate(0," + (height/3) + ")") | |
.call(x.axis = d3.svg.axis().scale(x).orient("bottom").ticks(5)) | |
.append("text") | |
.attr("class", "label") | |
.attr("x", width) | |
.attr("y", 60) | |
.style("text-anchor", "end") | |
.style('font-size', '18') | |
.text("Time (years after pulse) "); | |
var co2_impulse = chart.append("path") | |
.datum(co2data) | |
.attr("class", "line co2") | |
.attr("d", line); | |
var methane_impulse = chart.append("path") | |
.datum(ch4data) | |
.attr("class", "line ch4") | |
.attr("d", line); | |
var focusco2 = chart.append("g").attr("class", "focus").style("display", "none"); | |
focusco2.append("circle").attr("r", 4.5); | |
focusco2.append("text").attr("x", 0).attr("dy", "-0.35em").style('text-anchor', 'middle'); | |
// methane | |
var focusch4 = chart.append("g").attr("class", "focus").style("display", "none"); | |
focusch4.append("circle").attr("r", 4.5); | |
focusch4.append("text").attr("x", 0).attr("dy", "-0.35em").style('text-anchor', 'middle'); | |
chart.append("rect") | |
.attr("class", "overlay") | |
.attr("width", width) | |
.attr("height", height) | |
.on("mouseover", function() { | |
focusco2.style("display", null); | |
focusch4.style("display", null); | |
}) | |
.on("mouseout", function() { | |
focusco2.style("display", null); | |
focusch4.style("display", null); | |
}) | |
.on("mousemove", mousemove); | |
function mousemove(callback) { | |
var x0 = x.invert(d3.mouse(this)[0]), | |
newdata = [], | |
dir = mouselast < x0 ? 1 : -1; | |
// update co2 | |
d = bisect(co2data, x0); | |
focusco2.attr("transform", "translate(" + x(d.x) + "," + y(d.y) + ")"); | |
focusco2.select("text").text(Math.round(d.y*100)/100); | |
if (dir == 1){ | |
while( counts.c > Math.floor(d.y*100)) { | |
var index = get(0) | |
force.nodes().splice(index, 1) | |
counts.c-=1 | |
} | |
}else{ | |
while( counts.c <= Math.floor(d.y*100)) { | |
force.nodes().push({id: 0, x: width*0.4, y: height/3}) | |
counts.c+=1 | |
} | |
} | |
// update co2 | |
var d = bisect(ch4data, x0) | |
focusch4.attr("transform", "translate(" + x(d.x) + "," + y(d.y) + ")"); | |
focusch4.select("text").text(Math.round(d.y*100)/100); | |
if (dir == 1){ | |
while( counts.m > Math.floor(d.y*100)) { | |
var index = get(1) | |
force.nodes().splice(index, 1) | |
counts.m-=1 | |
} | |
}else{ | |
while( counts.m <= Math.floor(d.y*100)) { | |
force.nodes().push({id: 1, x: width*0.7, y: height/3}) | |
counts.m+=1 | |
} | |
} | |
mouselast = x0 | |
start() | |
} | |
function get(id){ | |
var c = force.nodes() | |
for (var i = 0; i < c.length; i++) { | |
if(c[i].id == id){ | |
return i | |
} | |
}; | |
return false | |
} | |
d3.select(self.frameElement).style("height", (height + margin.top + margin.bottom) + "px"); | |
</script> |
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