Edzer (and all),

I don't think that it's related to an unrealistic range. I've tried a lot of different realistic and non-realistic values and get singular results each time. If I divide the X and Y coordinates by 10, 100, 1000 or 10000 I don't get singularity. Using Lat and Long works fine. Code is below and I included a link to a workspace with the "pol" data set at the bottom.

Zev

polA<-pol
coordinates(polA)<-~x+y
v<-variogram(pollutant~1, data=polA)
v.fit<-fit.variogram(v, vgm(0.0005, "Sph", 40000, 0.00001))
attributes(v.fit)$singular # TRUE

polB<-pol
polB$x<-polB$x/1000
polB$y<-polB$y/1000
coordinates(polB)<-~x+y
v<-variogram(pollutant~1, data=polB)
v.fit<-fit.variogram(v, vgm(0.0005, "Sph", 40, 0.00001))
attributes(v.fit)$singular #FALSE

polC<-pol
coordinates(polC)<-~longitude+latitude
v<-variogram(pollutant~1, data=polC)
v.fit<-fit.variogram(v, vgm(0.0005, "Sph", .4, 0.00001))
attributes(v.fit)$singular # FALSE

http://www.zevross.com/temp2/singular_or_not.RData

Edzer Pebesma wrote:
Hi Zev, it is hard to see what happens without seeing your data or R commands.

Is it possible that you passed an unrealistic value for the range parameter, as starting value for the variogram model argument of fit.variogram?
--
Edzer

Zev Ross wrote:
Hi All,

I'm fitting variograms in GSTAT with fit.variogram and I was surprised to find that all my fits were singular. I experimented with converting the data to unprojected data (decimal degrees) and with dividing my X and Y coordinates, which are in meters, by 1000 (to get KM). In both cases the fitting procedure worked with no singularity. Based on the numbers of pairs the bins appeared to be about the same so it appears to be a matter of the coordinates themselves.

I'd prefer not to have to convert the coordinates back and forth between meters and KM, any suggestions?

Zev

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