https://community.esri.com/t5/arcgis-spatial-analyst-questions/exponential-distance-decay-with-raster-calculator/m-p/1216823#M11763 <P>You could use the&nbsp;<A href="https://pro.arcgis.com/en/pro-app/2.8/tool-reference/spatial-analyst/rescale-by-function.htm" target="_self">Rescale by Function (Spatial Analyst)</A>&nbsp;tool with an <A href="https://pro.arcgis.com/en/pro-app/latest/tool-reference/spatial-analyst/the-transformation-functions-available-for-rescale-by-function.htm#GUID-F98BF1EB-BE73-4A0C-81B0-F855C31074BC" target="_self">Exponential</A> function.</P> Wed, 28 Sep 2022 02:07:40 GMT Luke_Pinner 2022-09-28T02:07:40Z https://community.esri.com/t5/arcgis-spatial-analyst-questions/exponential-distance-decay-with-raster-calculator/m-p/1216335#M11757 <P>I apologize in advance if this is posted to the wrong section of the forum, please migrate as needed- this is my first post, I'm a long-time lurker.</P><P>I'm working on calculating <EM>exponential distance decay</EM> from a source input raster. I already have a Euclidean Distance raster with a maximum distance of 100 meters that I generated using that source input raster. Using this raster as my input, and applying a "resistance value" (of 6 in this case), the value should diminish from 6 (at the source raster) to 0 (at 100 m) . The formula that I've determined to do this for&nbsp;<EM><STRONG>linear</STRONG>&nbsp;</EM>distance decay is:&nbsp;</P><P><EM>((100 -&nbsp;"input_raster")/ 100)*6</EM></P><P>Question: How I can I modify this formula for<STRONG> <EM>exponential&nbsp;</EM></STRONG>distance decay- that is, to decrease exponentially from the maximum value (6) at the source, to the minimum value (0) at 100 m?</P><P>Thank you in advance for the input!</P> Mon, 26 Sep 2022 23:32:55 GMT https://community.esri.com/t5/arcgis-spatial-analyst-questions/exponential-distance-decay-with-raster-calculator/m-p/1216335#M11757 rlehrter 2022-09-26T23:32:55Z https://community.esri.com/t5/arcgis-spatial-analyst-questions/exponential-distance-decay-with-raster-calculator/m-p/1216823#M11763 <P>You could use the&nbsp;<A href="https://pro.arcgis.com/en/pro-app/2.8/tool-reference/spatial-analyst/rescale-by-function.htm" target="_self">Rescale by Function (Spatial Analyst)</A>&nbsp;tool with an <A href="https://pro.arcgis.com/en/pro-app/latest/tool-reference/spatial-analyst/the-transformation-functions-available-for-rescale-by-function.htm#GUID-F98BF1EB-BE73-4A0C-81B0-F855C31074BC" target="_self">Exponential</A> function.</P> Wed, 28 Sep 2022 02:07:40 GMT https://community.esri.com/t5/arcgis-spatial-analyst-questions/exponential-distance-decay-with-raster-calculator/m-p/1216823#M11763 Luke_Pinner 2022-09-28T02:07:40Z https://community.esri.com/t5/arcgis-spatial-analyst-questions/exponential-distance-decay-with-raster-calculator/m-p/1216921#M11764 <P>That is... a great solution. I'm not sure how I haven't heard about this tool before. Thank you!</P> Wed, 28 Sep 2022 13:56:10 GMT https://community.esri.com/t5/arcgis-spatial-analyst-questions/exponential-distance-decay-with-raster-calculator/m-p/1216921#M11764 rlehrter 2022-09-28T13:56:10Z