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1 b02e39a0 Jim Regetz
# R code to plot latitudinal profiles of mean flow direction, along with
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# both RMSE and correlation coefficients comparing fused layers with
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# both the raw ASTER and with the Canada DEM
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#
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# Jim Regetz
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# NCEAS
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# Created on 08-Jun-2011
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library(raster)
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datadir <- "/home/regetz/media/temp/terrain/flow"
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# create function to recode values into degrees
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recode <- function(r) {
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    v <- values(r)
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    v[v==0] <- NA
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    v[v==1] <- 0
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    v[v==2] <- 45
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    v[v==3] <- 90
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    v[v==4] <- 90
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    v[v==8] <- 135
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    v[v==16] <- 180
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    v[v==32] <- 225
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    v[v==64] <- 270
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    v[v==128] <- 315
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    r[] <- v
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    return(r)
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}
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# load flow direction rasters, recoding on the fly
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sfd.aster <- recode(raster(file.path(datadir, "aster_300straddle_sfd.tif")))
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sfd.srtm <- recode(raster(file.path(datadir, "srtm_150below_sfd.tif")))
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sfd.uncor <- recode(raster(file.path(datadir, "fused_300straddle_sfd.tif")))
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#sfd.eramp <- recode(raster(file.path(datadir, "fused_300straddle_rampexp_sfd.tif")))
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sfd.bg <- recode(raster(file.path(datadir, "fused_300straddle_blendgau_sfd.tif")))
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sfd.can <- recode(raster(file.path(datadir, "cdem_300straddle_sfd.tif")))
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# extract raster latitudes for later
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lats300 <- yFromRow(sfd.aster, 1:nrow(sfd.aster))
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lats150 <- yFromRow(sfd.srtm, 1:nrow(sfd.srtm))
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# initialize output pdf device driver
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pdf("flowdir-assessment.pdf", height=8, width=11.5)
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#
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# plot latitudinal profiles of mean flow direction
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#
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par(mfrow=c(2,2), omi=c(1,1,1,1))
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ylim <- c(80, 280)
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plot(lats300, rowMeans(as.matrix(sfd.uncor), na.rm=TRUE), type="l",
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    xlab="Latitude", ylab="Mean flow direction", ylim=ylim)
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text(min(lats300), min(ylim)+0.5, pos=4, font=3, labels="uncorrected")
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abline(v=60, col="red", lty=2)
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mtext(expression(paste("Latitudinal profiles of mean flow direction (",
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    136*degree, "W to ", 96*degree, "W)")), adj=0, line=2, font=2)
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plot(lats300, rowMeans(as.matrix(sfd.can), na.rm=TRUE), type="l",
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    xlab="Latitude", ylab="Mean flow direction", ylim=ylim)
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text(min(lats300), min(ylim)+0.5, pos=4, font=3, labels="Canada DEM")
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abline(v=60, col="red", lty=2)
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#plot(lats300, rowMeans(as.matrix(sfd.eramp), na.rm=TRUE), type="l",
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plot(lats300, rowMeans(as.matrix(sfd.can), na.rm=TRUE), type="n",
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    xlab="Latitude", ylab="Mean flow direction", ylim=ylim)
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text(min(lats300), min(ylim)+0.5, pos=4, font=3, labels="exponential ramp")
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text(mean(lats300), mean(ylim), pos=1, font=3, labels="(skipped)")
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#abline(v=60, col="red", lty=2)
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plot(lats300, rowMeans(as.matrix(sfd.bg), na.rm=TRUE), type="l",
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    xlab="Latitude", ylab="Mean flow direction", ylim=ylim)
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text(min(lats300), min(ylim)+0.5, pos=4, font=3, labels="gaussian blend")
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abline(v=60, col="red", lty=2)
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#
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# plot latitudinal profiles of RMSE
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#
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# simple helper function to calculate row-wise RMSEs, accounting for the
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# fact that flow dir values are circular (0-360), so the difference
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# between e.g. 5 and 355 should only be 10
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rmse <- function(r1, r2, na.rm=TRUE, use) {
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    diffs <- abs(as.matrix(r1) - as.matrix(r2))
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    if (!missing(use)) diffs[!use] <- NA
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    diffs[] <- ifelse(diffs>180, 360-diffs, diffs)
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    sqrt(rowMeans(diffs^2, na.rm=na.rm))
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}
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par(mfrow=c(2,3), omi=c(1,1,1,1))
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ylim <- c(0, 100)
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# ...with respect to ASTER
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plot(lats300, rmse(sfd.uncor, sfd.aster), type="l", xlab="Latitude",
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    ylab="RMSE", ylim=ylim)
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lines(lats150, rmse(crop(sfd.uncor, extent(sfd.srtm)), sfd.srtm), col="blue")
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legend("topright", legend=c("ASTER", "SRTM"), col=c("black", "blue"),
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    lty=c(1, 1), bty="n")
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text(min(lats300), max(ylim)-5, pos=4, font=3, labels="uncorrected")
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abline(v=60, col="red", lty=2)
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mtext(expression(paste(
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    "Flowdir discrepancies with respect to separate ASTER/SRTM components (",
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    136*degree, "W to ", 96*degree, "W)")), adj=0, line=2, font=2)
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#plot(lats300, rmse(sfd.eramp, sfd.aster), type="l", xlab="Latitude",
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plot(lats300, rep(0, 300), type="n", xlab="Latitude",
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    ylab="RMSE", ylim=ylim)
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#lines(lats150, rmse(crop(sfd.eramp, extent(sfd.srtm)), sfd.srtm), col="blue")
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#legend("topright", legend=c("ASTER", "SRTM"), col=c("black", "blue"),
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#    lty=c(1, 1), bty="n")
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text(min(lats300), max(ylim)-5, pos=4, font=3, labels="exponential ramp")
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text(mean(lats300), mean(ylim), font=3, labels="(skipped)")
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#abline(v=60, col="red", lty=2)
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plot(lats300, rmse(sfd.bg, sfd.aster), type="l", xlab="Latitude",
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    ylab="RMSE", ylim=ylim)
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lines(lats150, rmse(crop(sfd.bg, extent(sfd.srtm)), sfd.srtm), col="blue")
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legend("topright", legend=c("ASTER", "SRTM"), col=c("black", "blue"),
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    lty=c(1, 1), bty="n")
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text(min(lats300), max(ylim)-5, pos=4, font=3, labels="gaussian blend")
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abline(v=60, col="red", lty=2)
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# ...with respect to CDEM
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plot(lats300, rmse(sfd.uncor, sfd.can), type="l", xlab="Latitude",
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    ylab="RMSE", ylim=ylim)
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text(min(lats300), max(ylim)-5, pos=4, font=3, labels="uncorrected")
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abline(v=60, col="red", lty=2)
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mtext(expression(paste(
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    "Flowdir discrepancies with respect to Canada DEM (",
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    136*degree, "W to ", 96*degree, "W)")), adj=0, line=2, font=2)
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#plot(lats300, rmse(sfd.eramp, sfd.can), type="l", xlab="Latitude",
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plot(lats300, rep(0, 300), type="n", xlab="Latitude",
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    ylab="RMSE", ylim=ylim)
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text(min(lats300), max(ylim)-5, pos=4, font=3, labels="exponential ramp")
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text(mean(lats300), mean(ylim), font=3, labels="(skipped)")
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#abline(v=60, col="red", lty=2)
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plot(lats300, rmse(sfd.bg, sfd.can), type="l", xlab="Latitude",
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    ylab="RMSE", ylim=ylim)
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text(min(lats300), max(ylim)-5, pos=4, font=3, labels="gaussian blend")
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abline(v=60, col="red", lty=2)
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# close pdf device driver
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dev.off()