Extending Spatial Interaction Models with Agents for Understanding Relationships in a Dynamic Retail Market

<table>Interpolated sales surface of the simulation <svg height="11.1" id="M24" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 55.674999 11.1" width="55.674999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛼</tspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.555412" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="28.806911" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.932661" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="38.184162" y="0">5</tspan>
</text>
</g>
</g>
</svg>, <svg height="13.55" id="M25" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 47.775002 13.55" width="47.775002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛽</tspan>
<tspan style="font-size: 12.50px; " x="10.440005" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.480394" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.731894" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.857643" y="0">2</tspan>
</text>
</g>
</g>
</svg> applied to West Yorkshire, UK (cities and towns are indicated by place name).</table>

Urban Studies Research

fig3

Figure 3

Figure 3: Extending Spatial Interaction Models with Agents for Understanding Relationships in a Dynamic Retail Market 