Re: [R-sig-Geo] How to fit a pure spatial variogram on a spatio-temporal empirical one

2017-05-30 Thread Dr . Benedikt Gräler

Dear Carlo,

the code below is a bit of a hack, but does what you are asking for. The 
classes "gstatVariogram" and "StVariogram" have slight different design 
and so do the functions fit.variogram and fit.StVariogram. Note that 
spVv is now a pooled variogram across all time steps of your dataset 
treating each time slice as an independent copy of the same pure spatial 
process (i.e. strong temporal autocorrelation might influence your 
estimation).


HTH,

 Ben


library(gstat)
data("vv")
plot(vv)

spaceOnly <- vv$timelag == 0

spVv <- cbind(vv[spaceOnly,],
  data.frame(dir.hor=rep(0, sum(spaceOnly)),
 dir.ver=rep(0, sum(spaceOnly

# drop empty (NA) first row
spVv <- spVv[-1, ]

# manually re-class
class(spVv) <- c("gstatVariogram","data.frame")

plot(spVv)

fitSpVgm <- fit.variogram(spVv, vgm(30, "Exp", 150, 10))
plot(spVv, fitSpVgm)



On 29/05/2017 20:13, Carlo Cavalieri wrote:

Hi, I am using the R package GSTAT to make a spatio-temporal interpolation for 
my thesis and I wanted to know if it was possible to obtain the pure spatial 
empirical variogram from the spatio-temporal so that I can use it to fit a pure 
spatial variogram, for example exponential.
Unfortunately fit.variogram only accepts objects output of variogram, not of 
variogramST. One possible solution could be to extract tlag=0 from the 
StVariogram and convert the output to class variogramModel, but I have no idea 
on how to do this.
I look for a way to do this because fit the spatial variogram for each day 
separately is not a good idea given the small number of observation stations.

One way is definitely possible since the authors of the paper "Spatio-Temporal 
Interpolation using gstat” managed to compare the results of pure spatial and 
spatio-temporal interpolation (that is what I want to do): Below a quotation from 
that paper.

"For comparison with classical approaches, we interpolate across Germany 
iteratively for each single day using all available data for variogram estimation. 
The purely spatial empirical variogram can directly be obtained from the empirical 
spatio-temporal variogram, by fixing the temporal lag at 0 separation. From the same 
set of variogram models as investigated for the spatio-temporal models, the 
exponential model (partial sill: 66.5, range: 224 km, nugget: 13.5) is the best 
suited based on the optimisation criterion.”

Does anyone have any idea?
Thank you
Carlo
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[R-sig-Geo] How to fit a pure spatial variogram on a spatio-temporal empirical one

2017-05-29 Thread Carlo Cavalieri
Hi, I am using the R package GSTAT to make a spatio-temporal interpolation for 
my thesis and I wanted to know if it was possible to obtain the pure spatial 
empirical variogram from the spatio-temporal so that I can use it to fit a pure 
spatial variogram, for example exponential.
Unfortunately fit.variogram only accepts objects output of variogram, not of 
variogramST. One possible solution could be to extract tlag=0 from the 
StVariogram and convert the output to class variogramModel, but I have no idea 
on how to do this. 
I look for a way to do this because fit the spatial variogram for each day 
separately is not a good idea given the small number of observation stations.

One way is definitely possible since the authors of the paper "Spatio-Temporal 
Interpolation using gstat” managed to compare the results of pure spatial and 
spatio-temporal interpolation (that is what I want to do): Below a quotation 
from that paper.

"For comparison with classical approaches, we interpolate across Germany 
iteratively for each single day using all available data for variogram 
estimation. The purely spatial empirical variogram can directly be obtained 
from the empirical spatio-temporal variogram, by fixing the temporal lag at 0 
separation. From the same set of variogram models as investigated for the 
spatio-temporal models, the exponential model (partial sill: 66.5, range: 224 
km, nugget: 13.5) is the best suited based on the optimisation criterion.”

Does anyone have any idea?
Thank you
Carlo
[[alternative HTML version deleted]]

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