<?xml version="1.0" encoding="UTF-8"?>
<rss xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:taxo="http://purl.org/rss/1.0/modules/taxonomy/" version="2.0">
  <channel>
    <title>topic What is the algorithm to generate interpolation surfaces of the independent variables using GWR? in Spatial Statistics Questions</title>
    <link>https://community.esri.com/t5/spatial-statistics-questions/what-is-the-algorithm-to-generate-interpolation/m-p/580127#M1856</link>
    <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;When using GWR, based on point data, to conduct spatial analysis, interpolation surfaces are also generated for the explanatory, independent, variables. &lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;In the "how GWR works" page (&lt;A class="link-titled" href="http://desktop.arcgis.com/en/arcmap/latest/tools/spatial-statistics-toolbox/how-gwr-regression-works.htm" title="http://desktop.arcgis.com/en/arcmap/latest/tools/spatial-statistics-toolbox/how-gwr-regression-works.htm"&gt;How GWR works—Help | ArcGIS Desktop&lt;/A&gt;&amp;nbsp;), it is stated that "&lt;/SPAN&gt;Parameter estimates and predicted values for GWR are computed using the following spatial weighting function: exp(-d^2/b^2)."&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;From this description it is not clear if predicted values refers to the entire interpolated surface, or only to the specific point locations provided by the layers of the (point) independent variables. &lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;Moreover, it is not clear from the above equations what do "b" and "d" refer to.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;Thus, I would like to kindly inquire what is the algorithm / procedure used to generate the interpolations surfaces of the independent variables.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;Thanks in advance.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;&lt;A href="https://community.esri.com/migrated-users/59899"&gt;Lauren Bennett&lt;/A&gt;‌ &lt;A href="https://community.esri.com/space/2092"&gt;Spatial Statistics&lt;/A&gt;‌&lt;/SPAN&gt;&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
    <pubDate>Wed, 28 Nov 2018 07:29:57 GMT</pubDate>
    <dc:creator>NoamDavidson</dc:creator>
    <dc:date>2018-11-28T07:29:57Z</dc:date>
    <item>
      <title>What is the algorithm to generate interpolation surfaces of the independent variables using GWR?</title>
      <link>https://community.esri.com/t5/spatial-statistics-questions/what-is-the-algorithm-to-generate-interpolation/m-p/580127#M1856</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;When using GWR, based on point data, to conduct spatial analysis, interpolation surfaces are also generated for the explanatory, independent, variables. &lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;In the "how GWR works" page (&lt;A class="link-titled" href="http://desktop.arcgis.com/en/arcmap/latest/tools/spatial-statistics-toolbox/how-gwr-regression-works.htm" title="http://desktop.arcgis.com/en/arcmap/latest/tools/spatial-statistics-toolbox/how-gwr-regression-works.htm"&gt;How GWR works—Help | ArcGIS Desktop&lt;/A&gt;&amp;nbsp;), it is stated that "&lt;/SPAN&gt;Parameter estimates and predicted values for GWR are computed using the following spatial weighting function: exp(-d^2/b^2)."&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;From this description it is not clear if predicted values refers to the entire interpolated surface, or only to the specific point locations provided by the layers of the (point) independent variables. &lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;Moreover, it is not clear from the above equations what do "b" and "d" refer to.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;Thus, I would like to kindly inquire what is the algorithm / procedure used to generate the interpolations surfaces of the independent variables.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;Thanks in advance.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="font-size: 11.0pt; color: #1f497d;"&gt;&lt;A href="https://community.esri.com/migrated-users/59899"&gt;Lauren Bennett&lt;/A&gt;‌ &lt;A href="https://community.esri.com/space/2092"&gt;Spatial Statistics&lt;/A&gt;‌&lt;/SPAN&gt;&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Wed, 28 Nov 2018 07:29:57 GMT</pubDate>
      <guid>https://community.esri.com/t5/spatial-statistics-questions/what-is-the-algorithm-to-generate-interpolation/m-p/580127#M1856</guid>
      <dc:creator>NoamDavidson</dc:creator>
      <dc:date>2018-11-28T07:29:57Z</dc:date>
    </item>
  </channel>
</rss>

