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##############################################################################################
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#
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# SampleDemDiffCols
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# 
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# R script generates (or reads in) the CDEM / ASTER-SRTM mosaic 'difference image',
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# and for randomly-selected one column / two row subimages, computes and saves tbe 
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# difference between the pixels in the pair to create a distribution of differences.
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# Three distributions created: North (ASTER CDEM), South i(SRTM/CGIAR), and 
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# Border (boundary between ASTER and SRTM), Summary statistics are created for each 
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# distribution.
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#
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# Author: Rick Reeves, NCEAS
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# April 29, 2011
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##############################################################################################
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#
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SampleDemDiffCols <- function()
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{
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require(raster)
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require(rgdal)
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#inputRasterMerge <- raster(sFirstImageName)
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#inputSecondRaster <- raster(sSecondImageName)
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inputRasterAster <- raster("/data/project/organisms/rcr/ValidateBoundary/mergeCgiarAsterBdyTuesdayClip.tif")
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inputRasterSRTM <- raster("/data/project/organisms/rcr/ValidateBoundary/mergeCgiarAsterBdyTuesdayClip.tif")
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inputRasterMerge <- raster("/data/project/organisms/rcr/ValidateBoundary/mergeCgiarAsterBdyTuesdayClip.tif")
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inputRasterCDEM <- raster("/data/project/organisms/rcr/ValidateBoundary/CDemMosTuesdayClipMergeSpace.tif")
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#
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# Difference image for entire merged image takes a while to create, 
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# so we created it once, now read it back in.
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#
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rDeltaWhole <- raster("/data/project/organisms/rcr/ValidateBoundary/DeltaEntireImage.tif")
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rDeltaWhole@data@values <-getValues(rDeltaWhole)
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# Create extent objects used to extract raster subimges. 
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# The object will be centered along the 60 degree North latitude line,
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# and have varying depths (number of rows).
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# The Western Canada study area runs from -135 (west) to -100 (west) longitude,
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# and 55.0 to 64.00 degrees (north) latitude. 
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# the ASTER and SRTM/CGIAR image components are merged at the 60 Deg N Latitude line.
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eTestAreaExtentAster <- extent(-135.0,-105.0, 59.990,60.00) # Creates 12 row subimage North of border (All ASTER)
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eTestAreaExtentBorder <- extent(-135.0,-105.0, 59.995,60.005) # Creates a 12 row subimage centered on border
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eTestAreaExtentSRTM <- extent(-135.0,-105.0, 60.00,60.010) # Creates a 12 row subimage South of border (All SRTM)
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# Extract a sub image corresponding to the selected extent.
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# Two different alternatives:
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# The extract() function returns a vector of cell values, 
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# the crop() function returns a complete raster* object.
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vEdgeRegionAster <- extract(inputRasterMerge,eTestAreaExtentAster)
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rEdgeRegionAster <- crop(inputRasterMerge,eTestAreaExtentAster)
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vEdgeRegionAsterDelta <- extract(rDeltaWhole,eTestAreaExtentAster)
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rEdgeRegionAsterDelta <- crop(rDeltaWhole,eTestAreaExtentAster)
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vEdgeRegionBorder <- extract(inputRasterCDEM,eTestAreaExtentBorder)
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rEdgeRegionBorder <- crop(inputRasterMerge,eTestAreaExtentBorder)
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vEdgeRegionBorderDelta <- extract(rDeltaWhole,eTestAreaExtentBorder)
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rEdgeRegionBorderDelta <- crop(rDeltaWhole,eTestAreaExtentBorder)
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vEdgeRegionSrtm <- extract(inputRasterMerge,eTestAreaExtentSRTM)
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rEdgeRegionSrtm <- crop(inputRasterMerge,eTestAreaExtentSRTM)
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vEdgeRegionSRTMDelta <- extract(rDeltaWhole,eTestAreaExtentSRTM)
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rEdgeRegionSRTMDelta <- crop(rDeltaWhole,eTestAreaExtentSRTM)
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# Important: In order for the image subtraction to work, the extents
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#            of the two images must be IDENTICAL. I used ArcMap GIS Raster Crop By Mask
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#            to create subimages with identical extents. 
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# Compute the difference image  for the entire study area, and for the region along
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# the boundary (narrow, maybe 10 pixels either side)
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rDeltaEdge <- rEdgeRegionBorder - rEdgeRegionBorderDelta
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# Create this image one time, read it in thereafter.
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#rDeltaWhole <- inputRasterMerge - inputRasterCDEM
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#writeRaster(rDeltaWhole,filename="DeltaEntireImage.tif",format="GTiff",datatype="INT2S",overwrite=TRUE)
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# Using the large difference image, compute subimagee statistics for areas
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# North (ASTER) and South (SRTM) of the boundary. These give us an idea 
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# re: differences between ASTER and CDEM and CGIAR/SRT and CDEM
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# what is raster package way of using subscripts to extract? 
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# Now, the interesting part: using the boundary difference image, randomly select 
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# one-degree N-S strips throughout the image, and compare adjacent pixel pairs 
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# above and below the boundary with pixel pairs straddling the boundary. Subtract  
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# the pairs, save the collection of (absolute value) of the differences in a vector,
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# so that we have a population of differences above, below, and straddling the boundary 
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# line. Compare the populations.
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# get a vector of random column index numbers, constrained by column dimension of image
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# Loop three times, sampling pixel pairs from above, below, across the border
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nColsToGet <-20000
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iDiffVecNorth <- vector(mode="integer",length=nColsToGet)
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iDiffVecBorder <- vector(mode="integer",length=nColsToGet)
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iDiffVecSouth <- vector(mode="integer",length=nColsToGet)
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#colsToGet <-sample(1:50,nColsToGet)
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# Note: initially, sample the same columns in all regions to get a profile.
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#       other 'sample()' calls can be commented out to sample differenct
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#       coluns in each 'region'.
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# iDiffVecxxxx is a population of differences between adjacent cell pairs. 
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# Compute iDiffVecNorth/Border/South on either side of border, and across it. 
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# note that North and South samples taken from larger difference image for 
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# entire mosaic (sub) image; iDiffBorder taken from the edge region extracted
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# from the center of the lerger image.
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# Remember, we are sampling a PAIR of pixels (same column from two adjacent rows)
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colsToGet <-sample(1:inputRasterMerge@ncols,nColsToGet)
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message("North Sample")
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#browser()
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# debug
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#nColsToGet <- 2
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#colsToGet <- c(20,100)
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iFirstRow <- 300
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iCtr = 1
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for (iNextCol in colsToGet)
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{
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  rColVec <- cellFromRowCol(rDeltaWhole,iFirstRow:(iFirstRow+1),iNextCol:iNextCol)
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  neighborCells <- rDeltaWhole@data@values[rColVec]
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  iDiffVecNorth[iCtr] <- neighborCells[2] - neighborCells[1]
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  iCtr = iCtr + 1
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}
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#
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message("Border Sample - different columns")
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#browser()
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colsToGet <-sample(1:inputRasterMerge@ncols,nColsToGet)
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iFirstRow <- 6 # straddle the border of 12 row center section 
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iCtr = 1
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for (iNextCol in colsToGet)
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{
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  rColVec <- cellFromRowCol(rDeltaEdge,iFirstRow:(iFirstRow+1),iNextCol:iNextCol)
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  neighborCells <- rDeltaEdge@data@values[rColVec]
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  iDiffVecBorder[iCtr] <- neighborCells[2] - neighborCells[1]
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  iCtr = iCtr + 1 
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}
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#
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message("South Sample - different columns")
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#browser()
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colsToGet <-sample(1:inputRasterMerge@ncols,nColsToGet)
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iFirstRow <- 3600
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iCtr = 1
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for (iNextCol in colsToGet)
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{
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  rColVec <- cellFromRowCol(rDeltaWhole,iFirstRow:(iFirstRow+1),iNextCol:iNextCol)
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  neighborCells <- rDeltaWhole@data@values[rColVec]
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  iDiffVecSouth[iCtr] <- neighborCells[2] - neighborCells[1]
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  iCtr = iCtr + 1 
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}
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# Compute iDiffVecs on either side of border, and across it. 
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message("Check the cell difference vectors...")
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#browser()
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# summary stats for each population
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sNorthSum <- sprintf("ASTER sample summary: Min: %f / Median: %d / Mean: %f / Max: %f / Variance: %f sDev: %f",
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                     min(iDiffVecNorth,na.rm=TRUE),median(iDiffVecNorth,na.rm=TRUE),mean(iDiffVecNorth,na.rm=TRUE),
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                     max(iDiffVecNorth,na.rm=TRUE),var(iDiffVecNorth,na.rm=TRUE),sd(iDiffVecNorth,na.rm=TRUE))
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sBorderSum <- sprintf("Border sample summary: Min: %f / Median: %d / Mean: %f / Max: %f / Variance: %f sDev: %f",
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                     min(iDiffVecBorder,na.rm=TRUE),median(iDiffVecBorder,na.rm=TRUE),mean(iDiffVecBorder,na.rm=TRUE),
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                     max(iDiffVecBorder,na.rm=TRUE),var(iDiffVecBorder,na.rm=TRUE),sd(iDiffVecBorder,na.rm=TRUE))
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sSouthSum <- sprintf("STRM sample summary: Min: %f / Median: %d / Mean: %f / Max: %f / Variance: %f sDev: %f",
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                     min(iDiffVecSouth,na.rm=TRUE),median(iDiffVecSouth,na.rm=TRUE),mean(iDiffVecSouth,na.rm=TRUE),
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                     max(iDiffVecSouth,na.rm=TRUE),var(iDiffVecSouth,na.rm=TRUE),sd(iDiffVecSouth,na.rm=TRUE))
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#
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message(sprintf("statistics for %d N/S adjacent pixel pairs from three mosaic image regions:",nColsToGet))
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message(sNorthSum)
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message(sBorderSum)
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message(sSouthSum)
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message("hit key to write output images...")
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browser()
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# Write the extracted subimage and its difference image to disk
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# For now, use 'gdalinfo' to check image statistics
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writeRaster(rEdgeRegionBorder,filename="/data/project/organisms/rcr/ValidateBoundary/EdgeRegionFirstDC.tif",format="GTiff",datatype="INT2S",overwrite=TRUE)
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writeRaster(rEdgeRegionBorderDelta,filename="/data/project/organisms/rcr/ValidateBoundary/EdgeRegionSecondDC.tif",format="GTiff",datatype="INT2S",overwrite=TRUE)
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writeRaster(rDeltaEdge,filename="/data/project/organisms/rcr/ValidateBoundary/EdgeRegionDeltaDC.tif",format="GTiff",datatype="INT2S",overwrite=TRUE)
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}