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Re: Example of universal kriging with R/gstat in GRASS: msg#00035

lang.r.geo

Subject: Re: Example of universal kriging with R/gstat in GRASS

Roger,

I have made considerable progress in what I was trying to do with gstat & Universal Kriging using R. I was fortunate enough to find a detailed example of what I was trying to do: http://spatial-analyst.net/RKguide.php.

I exported from GRASS my elevation grid, "gtopo30.dem", and temperature point file, "temps.txt", to ascii files to assure I followed a parallel path with my data.

So, with my data, following Tomislav Hengl's example, I have:

> temps<-read.delim("temps.txt",sep=" ")
> summary(temps)

cat lon lat z T name
Min. : 1.00 Min. :-90.05 Min. :35.82 Min. : 99.0 Min. :61.00 AGC : 1
1st Qu.: 31.75 1st Qu.:-86.63 1st Qu.:38.27 1st Qu.: 197.0 1st Qu.:64.00 AID : 1
Median : 60.50 Median :-84.06 Median :40.09 Median : 255.5 Median :66.00 ALN : 1
Mean : 60.37 Mean :-84.14 Mean :39.86 Mean : 314.2 Mean :66.83 AOH : 1
3rd Qu.: 89.25 3rd Qu.:-81.47 3rd Qu.:41.58 3rd Qu.: 360.0 3rd Qu.:69.00 AOO : 1
Max. :118.00 Max. :-78.32 Max. :42.49 Max. :1155.0 Max. :73.00 ARB : 1
(Other):110
X Y
Min. :-341460 Min. :-342057
1st Qu.: -53847 1st Qu.: -71919
Median : 163999 Median : 119784
Mean : 154474 Mean : 99916
3rd Qu.: 371950 3rd Qu.: 282632
Max. : 632335 Max. : 398186

> library(sp)
> dem<-read.asciigrid("gtopo30.dem")
> class(dem)
[1] "SpatialGridDataFrame"
attr(,"package")
[1] "sp"
> image(dem)
> points(Y ~ X, data=temps)
> class(temps)
[1] "data.frame"
> coordinates(temps)=~X+Y
> dem.ov=overlay(dem,temps)
> summary(dem.ov)

Object of class SpatialPointsDataFrame
Coordinates:
min max
X -341459.8 632334.6
Y -342056.9 398185.9
Is projected: NA
proj4string : [NA]
Number of points: 116
Data attributes:
gtopo30.dem
Min. : 115.3
1st Qu.: 196.9
Median : 245.4
Mean : 306.9
3rd Qu.: 331.0
Max. :1064.5

> temps$gtopo30.dem=dem.ov$gtopo30.dem
> library(lattice)
> plot(T~gtopo30.dem, as.data.frame(temps))
> abline(lm(T~gtopo30.dem, as.data.frame(temps)))
> library(gstat)

> vgm <- vgm(psill=8,model="Exp",range=600000,nugget=3.8)
> vgm_temps_r<-fit.variogram(variogram(T~gtopo30.dem,temps), model=vgm)
> plot(variogram(T~gtopo30.dem,temps),main = "fitted by gstat")
> temps_uk<-krige(T~gtopo30.dem,temps,dem, vgm_temps_r)
[using universal kriging]
> library(lattice)
> trellis.par.set(sp.theme())
> spplot(temps_uk,"var1.pred", main="Universal kriging predictions TEMPERATURE")


Which works perfectly on my Macintosh running Mac OS X 10.4 and using R 2.2.1. (see attachment, temperatures in deg. F) However, following the *identical* steps with the identical data on Linux, at the step:

temps_uk<-krige(T~gtopo30.dem,temps,dem, vgm_temps_r)

I get the error:

Error in eval(expr, envir, enclos) : object "gtopo30.dem" not found

This has me baffled; any thoughts? I could send you my files if you would like to see what happens for you…

Regards,
Tom

BTW, the grid spacing on my DEM is coarse (9 km) and I will probably do my final analyses at 1-km.


Roger Bivand wrote:
On Fri, 28 Apr 2006, Thomas Adams wrote:

Roger,

Your suggestion:

fullgrid(dem) <- FALSE

did turn dem into class type SpatialGridDataFrame, but when I tried:

z <- predict(UK_fit,newdata=dem)

I got an error:

Error in model.frame(... :
invalid variable type.

I think I should restate the problem:

I have a file 'temps' which has class SpatialPointsDataFrame read from GRASS 6.1, that looks like:

coordinates cat x y z temp name
1 (-341460, -2154.42) 1 -90.05 38.90 166 63 ALN
2 (-198769, 301388) 2 -88.47 41.77 215 67 ARR
3 (-334899, -40321) 3 -89.95 38.55 140 66 BLV
4 (-240028, 163910) 4 -88.92 40.48 268 69 BMI
5 (-187957, 114806) 5 -88.27 40.04 229 64 CMI
6 (-351730, -37305.9) 6 -90.15 38.57 126 65 CPS
7 (-242424, 98244.7) 7 -88.92 39.87 204 66 DEC
8 (-179844, 315889) 8 -88.24 41.91 232 69 DPA
9 (-136093, -24538.2) 9 -87.61 38.76 131 68 LWV
10 (-278964, -126152) 10 -89.25 37.78 125 66 MDH
11 (-140792, 302011) 11 -87.75 41.79 187 73 MDW
12 (-364737, 274189) 12 -90.51 41.45 180 73 MLI
13 (-190503, 54493.9) 13 -88.28 39.48 219 64 MTO

and I have a a file 'dem' which has class SpatialGridDataFrame which just consists of grid of elevation values read from GRASS 6.1 using dem<-readFLOAT6sp(). (Sorry, I know I'm repeating myself).

What I want to do is to use the grid of elevation values ('dem') as a proxy in the spatial interpolation of the 'temp' values in my 'temps' file that are located at the coordinates in parentheses(). Notice that the temps file also has 'z' values of elevations. So, is this what you already understood? Converting 'dem' to a SpatialPixelsDataFrame seemed to only leave me with the grid locations and not the elevation values — is this right.

What does:

summary(dem)
say before and after doing

fullgrid(dem) <- FALSE?

Afterwards it should be a SpatialPixelsDataFrame with
names(dem)

being "z". Saying summary(dem) will give you an idea of what is inside, str() should too.

Roger

PS. This is usually a one-off thing, once it works, you note down how, and then it just does from then on.


Thanks again for your help!

Regards,
Tom


Roger Bivand wrote:
On Fri, 28 Apr 2006, Thomas Adams wrote:

Roger,

This got me further along, but I am encountering a problem with:

z <- predict(UK_fit, newdata=BMcD_SPx)

The gstat step works for me, where I have:

UK_fit<-gstat(formula=temps$temp~dem,data=temps,model=efitted)

temps has class SpatialPointsDataFrame:

coordinates cat x y z temp name
1 (-341460, -2154.42) 1 -90.05 38.90 166 63 ALN
2 (-198769, 301388) 2 -88.47 41.77 215 67 ARR
3 (-334899, -40321) 3 -89.95 38.55 140 66 BLV
4 (-240028, 163910) 4 -88.92 40.48 268 69 BMI
5 (-187957, 114806) 5 -88.27 40.04 229 64 CMI
6 (-351730, -37305.9) 6 -90.15 38.57 126 65 CPS
7 (-242424, 98244.7) 7 -88.92 39.87 204 66 DEC
8 (-179844, 315889) 8 -88.24 41.91 232 69 DPA
9 (-136093, -24538.2) 9 -87.61 38.76 131 68 LWV
10 (-278964, -126152) 10 -89.25 37.78 125 66 MDH
11 (-140792, 302011) 11 -87.75 41.79 187 73 MDW
12 (-364737, 274189) 12 -90.51 41.45 180 73 MLI
13 (-190503, 54493.9) 13 -88.28 39.48 219 64 MTO

and dem has class SpatialGridDataFrame and just consists of grid values.
I think
fullgrid(dem) <- FALSE

should make a SpatialPixelsDataFrame, but you'll have to make sure the name of the dem variable is the same as in the formula.

Roger

I tried to create a SpatialPixelsDataFrame for predict(), but with (for example):

m = SpatialPixelsDataFrame(points=meuse.grid[c("x","y")],data=meuse.grid)

I have nothing like meuse.grid, so this does not work. I can use image(dem), which produces a plot of elevation values. My point is that meuse.grid and my dem files have very different structures.

I'm not sure where to go to from here.

Regards,
Tom


Roger Bivand wrote:
On Thu, 27 Apr 2006, Thomas Adams wrote:

List:

I can not seem to work out the syntax for using R/gstat within a GRASS 6.1 session to do universal kriging. I have a DEM (elevation data on a grid) and point data for temperature; theoretically, the temperatures should relate to elevation. So, I am trying to spatially interpolate the temperature data based on the elevations at the grid points. How do I setup the gstat command in R/gstat (and using spgrass6, of course)? I have no trouble reading in my elevation data (DEM) from GRASS and I have no problem doing ordinary kriging of my temperature data using GRASS/R/gstat.
What do the data look like? Do you have temperature and elevation at the
observation points and elevation over the grid? If temperature is the variable for which you want to interpolate, then the formula argument in the gstat() function would be temp ~ elev, data=pointsdata (if a SpatialPointsDataFrame no need for location= ~ x + y). Then the predict() step would need a SpatialGridDataFrame object as newdata, with elev as (one of) the columns in the data slot.

An example for the Meuse bank data in Burrough and McDonnell:

cvgm <- variogram(Zn ~ Fldf, data=BMcD, width=100, cutoff=1000)
uefitted <- fit.variogram(cvgm, vgm(psill=1, model="Exp", range=100, nugget=1))
UK_fit <- gstat(id="UK_fit", formula = Zn ~ Fldf, data = BMcD, model=uefitted)
z <- predict(UK_fit, newdata=BMcD_SPx)

where BMcD_SPx is a SpatialPixelsDataFrame (the grid has ragged edges) with flood frequencies in Fldf (actually a factor, but works neatly).

Hope this helps,

Roger

Regards,
Tom






--
Thomas E Adams
National Weather Service
Ohio River Forecast Center
1901 South State Route 134
Wilmington, OH 45177

EMAIL: thomas.adams@xxxxxxxx

VOICE: 937-383-0528
FAX: 937-383-0033

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