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    <title>topic area in degree2 by voronoi in Spatial Data Science Questions</title>
    <link>https://community.esri.com/t5/spatial-data-science-questions/area-in-degree2-by-voronoi/m-p/669521#M1519</link>
    <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;Hello,&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;I am working with discrete data instead of gridding. I need the area in degree^2 of polygons surrounds those data points.&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;In gridding process, we first assume that the grids are rectangular and the area equals to:&lt;/P&gt;&lt;P&gt;area1 = [ delta_latitude * delta_longitude]&lt;/P&gt;&lt;P&gt;Afterward, we multiply that value with&amp;nbsp;cos(latitude) to give the actual curvature to the grid which is related to the actual position of the grid in the sphere;&lt;/P&gt;&lt;P&gt;area_final = area1 *&amp;nbsp;&lt;SPAN&gt;cos(latitude)&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;I created Voronoi&amp;nbsp;polygons for each data point with "Create Thiessen Polygons" function in ArcGIS&amp;nbsp;and the function automatically gave me an "area" value for each polygon in the attribute table. I am wondering if those area&amp;nbsp;values are already considered the curvature and the actual position of the polygons? Should I also multiply the area with&amp;nbsp;cos(latitude)?&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Thanks in advance,&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Feyza&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
    <pubDate>Tue, 17 Apr 2018 14:07:55 GMT</pubDate>
    <dc:creator>FeyzaSakil</dc:creator>
    <dc:date>2018-04-17T14:07:55Z</dc:date>
    <item>
      <title>area in degree2 by voronoi</title>
      <link>https://community.esri.com/t5/spatial-data-science-questions/area-in-degree2-by-voronoi/m-p/669521#M1519</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;Hello,&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;I am working with discrete data instead of gridding. I need the area in degree^2 of polygons surrounds those data points.&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;In gridding process, we first assume that the grids are rectangular and the area equals to:&lt;/P&gt;&lt;P&gt;area1 = [ delta_latitude * delta_longitude]&lt;/P&gt;&lt;P&gt;Afterward, we multiply that value with&amp;nbsp;cos(latitude) to give the actual curvature to the grid which is related to the actual position of the grid in the sphere;&lt;/P&gt;&lt;P&gt;area_final = area1 *&amp;nbsp;&lt;SPAN&gt;cos(latitude)&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;I created Voronoi&amp;nbsp;polygons for each data point with "Create Thiessen Polygons" function in ArcGIS&amp;nbsp;and the function automatically gave me an "area" value for each polygon in the attribute table. I am wondering if those area&amp;nbsp;values are already considered the curvature and the actual position of the polygons? Should I also multiply the area with&amp;nbsp;cos(latitude)?&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Thanks in advance,&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Feyza&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Tue, 17 Apr 2018 14:07:55 GMT</pubDate>
      <guid>https://community.esri.com/t5/spatial-data-science-questions/area-in-degree2-by-voronoi/m-p/669521#M1519</guid>
      <dc:creator>FeyzaSakil</dc:creator>
      <dc:date>2018-04-17T14:07:55Z</dc:date>
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    <item>
      <title>Re: area in degree2 by voronoi</title>
      <link>https://community.esri.com/t5/spatial-data-science-questions/area-in-degree2-by-voronoi/m-p/669522#M1520</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;Don't do the math yourself, it will be wrong.&lt;/P&gt;&lt;P&gt;In a featureclass incarnation of the voronoi diagram or the delauney triangulation IF you left the units in decimal degrees, you might want to confirm the shape_area field with&lt;/P&gt;&lt;P&gt;&lt;A href="http://pro.arcgis.com/en/pro-app/tool-reference/data-management/add-geometry-attributes.htm"&gt;&lt;STRONG&gt;Add Geometry Attributes.&lt;/STRONG&gt;&lt;/A&gt;.. using the option...&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;TABLE style="background-color: #ffffff; border-collapse: collapse; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-spacing: 0px 0px; color: #4c4c4c; font-family: &amp;amp;quot; avenir next w01&amp;amp;quot;,&amp;amp;quot;avenir next w00&amp;amp;quot;,&amp;amp;quot;avenir next&amp;amp;quot;,&amp;amp;quot;avenir&amp;amp;quot;,&amp;amp;quot;helvetica neue&amp;amp;quot;,sans-serif; font-size: 14.8px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: 0px; line-height: 26.35px; margin-bottom: 26.35px; orphans: 2; overflow: auto; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; width: 716.16px; word-spacing: 0px; border: 0.5px solid #cccccc;"&gt;&lt;TBODY style="overflow: auto; width: 100%;"&gt;&lt;TR style="border-bottom-color: #cccccc; border-bottom-style: solid; border-bottom-width: 1px; text-align: left;"&gt;&lt;TD colspan="1" rowspan="1" style="border-left-color: #cccccc; border-left-style: solid; border-left-width: 1px; border-right-color: #cccccc; border-right-style: solid; border-right-width: 1px; font-weight: 300; padding: 8.67px;"&gt;&lt;P style="margin-bottom: 0px; margin-top: 0px;"&gt;AREA_GEODESIC&lt;/P&gt;&lt;/TD&gt;&lt;TD colspan="1" rowspan="1" style="border-left-color: #cccccc; border-left-style: solid; border-left-width: 1px; border-right-color: #cccccc; border-right-style: solid; border-right-width: 1px; font-weight: 300; padding: 8.67px;"&gt;&lt;P style="margin-bottom: 0px; margin-top: 0px;"&gt;&lt;SPAN style="font-family: &amp;amp;quot;"&gt;AREA_GEO&lt;/SPAN&gt;: The geodesic area of the polygon.&lt;/P&gt;&lt;/TD&gt;&lt;/TR&gt;&lt;/TBODY&gt;&lt;/TABLE&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Tue, 17 Apr 2018 19:23:39 GMT</pubDate>
      <guid>https://community.esri.com/t5/spatial-data-science-questions/area-in-degree2-by-voronoi/m-p/669522#M1520</guid>
      <dc:creator>DanPatterson_Retired</dc:creator>
      <dc:date>2018-04-17T19:23:39Z</dc:date>
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