R Code and Images for Developing a Spatial Concordance Coefficient at Harvard Forest 2010

<para>Concordance correlation coefficients have been developed in a variety of different contexts. This problem has been widely addressed in a non-spatial context, but here we consider a coefficient that for a fixed spatial lag allows the comparison of two spatial sequences (e.g., images). We define a spatial concordance coefficient for second-order stationary processes.</para> </section> </abstract> <keywordSet> <keyword>canopies</keyword> <keyword>imagery</keyword> <keyword>phenology</keyword> <keyword>spatial variability</keyword> <keywordThesaurus>LTER controlled vocabulary</keywordThesaurus> </keywordSet> <keywordSet> <keyword>primary production</keyword> <keywordThesaurus>LTER core area</keywordThesaurus> </keywordSet> <keywordSet> <keyword>Harvard Forest</keyword> <keyword>HFR</keyword> <keyword>LTER</keyword> <keyword>USA</keyword> <keywordThesaurus>HFR default</keywordThesaurus> </keywordSet> <intellectualRights> <section> <para>This dataset is released to the public under Creative Commons CC0 1.0 (No Rights Reserved). Please keep the dataset creators informed of any plans to use the dataset. Consultation with the original investigators is strongly encouraged. Publications and data products that make use of the dataset should include proper acknowledgement.</para> </section> </intellectualRights> <licensed> <licenseName>Creative Commons Zero v1.0 Universal</licenseName> <url>https://spdx.org/licenses/CC0-1.0.html</url> <identifier>CC0-1.0</identifier> </licensed> <distribution> <online> <url function="information">https://harvardforest.fas.harvard.edu/exist/apps/datasets/showData.html?id=hf322</url> </online> </distribution> <coverage> <geographicCoverage> <geographicDescription>Prospect Hill Tract (Harvard Forest). Coordinates based on WGS84 datum.</geographicDescription> <boundingCoordinates> <westBoundingCoordinate>-72.20</westBoundingCoordinate> <eastBoundingCoordinate>-72.17</eastBoundingCoordinate> <northBoundingCoordinate>+42.55</northBoundingCoordinate> <southBoundingCoordinate>+42.53</southBoundingCoordinate> <boundingAltitudes> <altitudeMinimum>280</altitudeMinimum> <altitudeMaximum>420</altitudeMaximum> <altitudeUnits>meter</altitudeUnits> </boundingAltitudes> </boundingCoordinates> </geographicCoverage> <temporalCoverage> <rangeOfDates> <beginDate> <calendarDate>2010</calendarDate> </beginDate> <endDate> <calendarDate>2010</calendarDate> </endDate> </rangeOfDates> </temporalCoverage> <taxonomicCoverage> <taxonomicClassification> <taxonRankName>genus</taxonRankName> <taxonRankValue>Pinus</taxonRankValue> <taxonomicClassification> <taxonRankName>species</taxonRankName> <taxonRankValue>strobus</taxonRankValue> <commonName>white pine</commonName> </taxonomicClassification> </taxonomicClassification> <taxonomicClassification> <taxonRankName>genus</taxonRankName> <taxonRankValue>Quercus</taxonRankValue> <taxonomicClassification> <taxonRankName>species</taxonRankName> <taxonRankValue>rubra</taxonRankValue> <commonName>red oak</commonName> </taxonomicClassification> </taxonomicClassification> </taxonomicCoverage> </coverage> <maintenance> <description> <para>complete</para> </description> </maintenance> <contact scope="document"> <positionName>Information Manager</positionName> <organizationName>Harvard Forest</organizationName> <address scope="document"> <deliveryPoint>324 North Main Street</deliveryPoint> <city>Petersham</city> <administrativeArea>MA</administrativeArea> <postalCode>01366</postalCode> <country>USA</country> </address> <phone phonetype="voice">(978) 724-3302</phone> <electronicMailAddress>hf-im@lists.fas.harvard.edu</electronicMailAddress> </contact> <publisher scope="document"> <organizationName>Harvard Forest</organizationName> <address scope="document"> <deliveryPoint>324 North Main Street</deliveryPoint> <city>Petersham</city> <administrativeArea>MA</administrativeArea> <postalCode>01366</postalCode> <country>USA</country> </address> <phone phonetype="voice">(978) 724-3302</phone> <phone phonetype="fax">(978) 724-3595</phone> <onlineUrl>https://harvardforest.fas.harvard.edu</onlineUrl> </publisher> <methods> <methodStep> <description> <section> <title/> <para>The proposed spatial concordance coefficient was explored for the bivariate Mat\'ern and Wendland covariance functions. The asymptotic normality of a sample version of the spatial concordance coefficient for an increasing domain sampling framework was established for the Wendland covariance function. Finally, we developed a local approach for estimating the concordance that uses local spatial models on non-overlapping windows.</para> <para>As an illustrative example, we applied this methodology to two similar images of a deciduous forest canopy at Harvard Forest. The images were recorded with different cameras but similar fields-of-view and within minutes of each other. Our analysis showed that the local approach helped to explain a percentage of the non-spatial concordance and to learn about the decaying of it as a function of the spatial lag.</para> </section> </description> </methodStep> </methods> <project> <title>Harvard Forest Long-Term Ecological Research Harvard Forest

324 North Main Street Petersham MA 01366 USA

(978) 724-3302 (978) 724-3595 https://harvardforest.fas.harvard.edu https://ror.org/059cpzx98 pointOfContact The Harvard Forest Long-Term Ecological Research (LTER) program examines ecological dynamics in the New England region resulting from natural disturbances, environmental change, and human impacts. National Science Foundation LTER grants: DEB-8811764, DEB-9411975, DEB-0080592, DEB-0620443, DEB-1237491, DEB-1832210. hf322-01-geomodels-concordance.txt R code hf322-01-geomodels-concordance.txt 4143 a9f4d672c96cc91fcf3db0ccc6374f0d none R script https://harvardforest.fas.harvard.edu/data/p32/hf322/hf322-01-geomodels-concordance.txt script hf322-02-canopy-images.zip canopy images hf322-02-canopy-images.zip 5219675 bd55c1e27b2f34d6aadcc2d0ecf232df zip jpeg, png https://harvardforest.fas.harvard.edu/data/p32/hf322/hf322-02-canopy-images.zip image hf322-03-code-simulations-wendland.txt simulations R code hf322-03-code-simulations-wendland.txt 36260 aeb45ae596c97a083358c60d3d504b98 none R script https://harvardforest.fas.harvard.edu/data/p32/hf322/hf322-03-code-simulations-wendland.txt script informatics short-term measurement modeling https://harvardforest.fas.harvard.edu/exist/apps/datasets/showData.html?id=hf158 https://harvardforest.fas.harvard.edu/exist/apps/datasets/showData.html?id=hf215