Hi,
 
My coordinates geographical are decimal degrees. I am soryy I donot know how to 
and what do copy and  paste from SAM to gwr()? I cannot see the code of SAM.
 
Thanks a lot.

Cheers.



ÔÚ2010-05-13 17:43:06£¬"Roger Bivand" <roger.biv...@nhh.no> дµÀ£º
>On Thu, 13 May 2010, huangykiz wrote:
>
>> Hi,
>
>> I am sorry I say that I cannot get the same R^2 between in R/spgwr and 
>> SAM in my data.
>
>Establish that the adaptive proportion is exactly the same.
>
>You haven't done that - copy and paste from SAM to gwr(), not using 
>gwr.sel(). Do it first for fixed Gaussian, then if you get a sensible 
>figure from SAM for adaptive, do the same there. I see very different 
>bandwidths chosen by SAM and by gwr.sel() and GWR3 - gwr.sel() and GWR3 
>usually agree fairly well for CV fixed bandwidths, but gwr.sel() typically 
>continues its search a little longer than GWR3.
>
>I don't know how SAM chooses its bandwidth or adaptive proportion, it is 
>closed source, so only its authors know.
>
>Is SAM using Great Circle distances, if so, you should set longlat=TRUE in 
>gwr.sel() and gwr()? Are your coordinates geographical (decimal degrees) 
>or projected (metres)?
>
>Roger
>
>> In R/spgwr
>> R^2:    0.972989;
>> AICc (GWR p. 61, eq 2.33; p. 96, eq. 4.21): 4668.92
>> Effective number of parameters (model: traceS): 435.7586; 
>> Effective number of parameters (residual: 2traceS - traceS'S): 582.3581;
>> Sigma (residual: 2traceS - traceS'S): 2.437066;
>> Sigma (model: traceS): 1.927127;
>> Sigma (ML): 1.325501;
>> 
>> In SAM,
>> Coefficient of Determination :           0.696 
>> Adjusted r-square (r?Adj):                 0.693 
>> Sigma:                                             20.058 
>> Effective Number of Parameters:          10.002 
>> Akaike Information Criterion (AICc):      4838.299 
>> Correlation Coefficient (r):                    0.834 
>> F:                                                   207.852 
>> 
>> Here are my code:
>> PET.adapt.gauss <- gwr.sel(SPECIES_RI ~ PET, data=Environmental_variables, 
>> coords=cbind(Environmental_variables$LONGX, 
>> Environmental_variables$LATY),adapt=TRUE)
>> 
>> PET.gauss<- gwr(SPECIES_RI ~ PET, data=Environmental_variables, 
>> coords=cbind(Environmental_variables$LONGX, 
>> Environmental_variables$LATY), 
>> gweight=gwr.Gauss,adapt=PET.adapt.gauss,hatmatrix=TRUE)
>> 
>> 1 - 
>> (PET.gauss$results$rss/crossprod(scale(Environmental_variables$SPECIES_RI, 
>> scale=FALSE)))
>> 
>> In SAM, I selecte "spatial Weighting Function"=gaussian, adaptive 
>> Spatial Kernel, and compute Geographical Distances based on longitudinal 
>> coordinate(X) and latitudinal coordinate(Y). I donot select method for 
>> AIC optimisation.
>> 
>> So I donot know where is wrong.
>> 
>> Thank you very much for your great helps.
>> 
>> 
>> 
>> 
>> 
>>
>> ÔÚ2010-05-13 00:07:23£¬"Roger Bivand" <roger.biv...@nhh.no> дµÀ£º
>>> On Wed, 12 May 2010, Roger Bivand wrote:
>>>
>>>> On Wed, 12 May 2010, huangykiz wrote:
>>>>
>>>>> Hi, Is "adapt=TRUE"(spgwr) not the same as "adaptive Spatial 
>>>>> Kernel"(SAM)?The result of "adaptive Spatial Kernel" may be better than 
>>>>> fixed bandwidth. If I want to ues "adaptive Spatial Kernel" in spgwr, how 
>>>>> to write the code?
>>>>
>>>> READ THE HELP PAGES!
>>>>
>>>> adaptive_proportion <- gwr.sel(...)
>>>>
>>>> result <- gwr(..., adapt=adaptive_proportion; ...)
>>>>
>>>> exactly as on the example om the help page:
>>>>
>>>> data(georgia)
>>>> g.adapt.gauss <- gwr.sel(PctBach ~ TotPop90 + PctRural + PctEld + PctFB +
>>>>  PctPov + PctBlack, data=gSRDF, adapt=TRUE)
>>>> res.adpt <- gwr(PctBach ~ TotPop90 + PctRural + PctEld + PctFB + PctPov +
>>>>  PctBlack, data=gSRDF, adapt=g.adapt.gauss)
>>>> res.adpt
>>>>
>>>> Clear?
>>>
>>> I have now compared the same data in R/spgwr and SAM for effective number 
>>> of parameters, sigma, and your questionable R^2, and they agree adequately 
>>> when the kernel and the bandwidth are the same. Having the algorithm 
>>> choose the bandwidth does obscure what is going on. You should use SAM if 
>>> you prefer GUI and not needing to know how things work, and remember that 
>>> GWR is a very doubtful approach for anything beyond exploring 
>>> non-stationarity, its original motivation.
>>>
>>>>
>>>>> 
>>>>> Thanks a lot.
>>>>> 
>>>>> Cheers.
>>>>> 
>>>>> 
>>>>>> Hi,
>>>>>> I think that I use the same bandwidth and kernel. In SAM, I use "spatial 
>>>>>> Weighting Function"=gaussian, adaptive Spatial Kernel, and compute 
>>>>>> Geographical Distances based on longitudinal coordinate(X) and 
>>>>>> latitudinal 
>>>>>> coordinate(Y). In spgwr, gweight is gwr.Gauss and adapt is TRUE.
>>>>>> 
>>>>>> For example, this is my code:
>>>>> 
>>>>>> PET.bw <- gwr.sel(SPECIES_RI ~ PET, data=variables, 
>>>>>> coords=cbind(variables$LONGX, variables$LATY),adapt=TRUE)
>>>>> 
>>>>>> PET.gauss <- gwr(SPECIES_RI ~ PET, data=variables, 
>>>>>> coords=cbind(variables$LONGX, variables$LATY), bandwidth=PET.bw, 
>>>>>> gweight=gwr.Gauss,adapt=TRUE,hatmatrix=TRUE)
>>>>> 
>>>>> So where do you pass PET.bw to the gwr() function? adapt=TRUE will treat 
>>>>> the adaptive proportion as 1, so include all data points. If you want to 
>>>>> compare, use a fixed bandwidth in both, with no CV selection. Then you 
>>>>> compare like with like.
>>>>> 
>>>>> Note that your messages are *not* reaching the list, they must be sent to:
>>>>> 
>>>>> r-sig-geo@stat.math.ethz.ch, not
>>>>> 
>>>>> r-sig-geo-requ...@stat.math.ethz.ch
>>>>> 
>>>>> You are not thinking carefully and are rushing into things and drawing 
>>>>> wrong conclusions.
>>>>> 
>>>>>> 
>>>>>> Thanks a lot.
>>>>>> 
>>>>>> Cheers.
>>>>>> 
>>>>>> 
>>>>>> 
>>>>>> ÔÚ2010-05-12 20:28:47£¬"Roger Bivand" <roger.biv...@nhh.no> дµÀ£º
>>>>>>> On Wed, 12 May 2010, huangykiz wrote:
>>>>>>> 
>>>>>>>> Hi,
>>>>>>>> One of SAM author ("Jos¨¦ Alexandre Felizola Diniz 
>>>>>>>> Filho"<di...@icb.ufg.br>) say that they also base on GWR3 (the 
>>>>>>>> Fotherigham book)  and the data used within each kernel may be some 
>>>>>>>> slight differences
>>>>>>> 
>>>>>>> Naturally, if you are not using exactly the same kernel and bandwidth, 
>>>>>>> you should not be surprised by differences in values. Please make sure 
>>>>>>> that the bandwidth and kernel are the same and try again.
>>>>>>> 
>>>>>>> Roger
>>>>>>> 
>>>>>>>> Cheers
>>>>> 
>>>>> 
>>>>> 
>>>>> 
>>>>> ÔÚ2010-05-12 20:28:47£¬"Roger Bivand" <roger.biv...@nhh.no> дµÀ£º
>>>>>> On Wed, 12 May 2010, huangykiz wrote:
>>>>>> 
>>>>>>> Hi,
>>>>>>> One of SAM author ("Jos¨¦ Alexandre Felizola Diniz 
>>>>>>> Filho"<di...@icb.ufg.br>) say that they also base on GWR3 (the 
>>>>>>> Fotherigham book)  and the data used within each kernel may be some 
>>>>>>> slight differences
>>>>>> 
>>>>>> Naturally, if you are not using exactly the same kernel and bandwidth, 
>>>>>> you 
>>>>>> should not be surprised by differences in values. Please make sure that 
>>>>>> the bandwidth and kernel are the same and try again.
>>>>>> 
>>>>>> Roger
>>>>>> 
>>>>>>> Cheers.
>>>>>>> 
>>>>> 
>>>>> 
>>>>> 
>>>>> 
>>>>> 
>>>>> ÔÚ2010-05-12 15:27:58£¬"Roger Bivand" <roger.biv...@nhh.no> дµÀ£º
>>>>>> On Wed, 12 May 2010, huangykiz wrote:
>>>>>> 
>>>>>>> Hi,
>>>>>>> 
>>>>>>> I am sorry I donot know how to install module spgwr from sourceforge (I 
>>>>>>> can find it on the web 
>>>>>>> http://r-spatial.cvs.sourceforge.net/viewvc/r-spatial/spgwr/R/gwr.R?view=log).
>>>>>>>  
>>>>>>> So I use the code sketch to calculate quasi-global R2. The results are 
>>>>>>> different between SAM and spgwr(Attached are the results ). The 
>>>>>>> quasi-global R2 in R is 0.4515894, but in SAM is 0.696.
>>>>>>> This is my code:
>>>>>>> 
>>>>>>> library(spgwr)
>>>>>>> Environmental_variables<-read.csv("Environmental_variables100.csv",header=TRUE)
>>>>>>> attach(Environmental_variables)
>>>>>>> region_PET.bw <- gwr.sel(SPECIES_RI ~ PET, 
>>>>>>> data=Environmental_variables, 
>>>>>>> coords=cbind(Environmental_variables$LONGX, 
>>>>>>> Environmental_variables$LATY),adapt=TRUE)
>>>>>>> region_PET.gauss <- gwr(SPECIES_RI ~ PET, data=Environmental_variables, 
>>>>>>> coords=cbind(Environmental_variables$LONGX, 
>>>>>>> Environmental_variables$LATY), bandwidth=region_PET.bw, 
>>>>>>> gweight=gwr.Gauss,adapt=TRUE,hatmatrix=TRUE)
>>>>>>> names(region_PET.gauss$SDF)
>>>>>>> region_PET.gauss$SDF$localR2
>>>>>>> 1 - 
>>>>>>> (region_PET.gauss$results$rss/crossprod(scale(Environmental_variables$SPECIES_RI,
>>>>>>>  
>>>>>>> scale=FALSE)))
>>>>>>> 
>>>>>>> Thank you very much.
>>>>>> 
>>>>>> SAM is closed source - ask them how they compute it. For spgwr, the code 
>>>>>> is provided, so you can read it for yourself. For the record, the 
>>>>>> current 
>>>>>> gwr() code in spgwr gives the same value as GWR3, which is also closed 
>>>>>> source, and where the Effective number of parameters (model: traceS), 
>>>>>> Sigma, and Residual sum of squares also agree. I suppose SAM has a 
>>>>>> different understanding of GWR internals than the authors of the GWR 
>>>>>> book.
>>>>>> 
>>>>>> Once again:
>>>>>> 
>>>>>> Please *do* write to the R-sig-geo list rather than to me directly -
>>>>>> others can answer your question as well, perhaps better, and in a more
>>>>>> timely way than I can. In addition, threads in the list can be searched 
>>>>>> in
>>>>>> the archives, so others can avoid the same problem later.
>>>>>> 
>>>>>> Please summarise to the list if this resolves the problem.
>>>>>> 
>>>>>> Roger
>>>>>> 
>>>>>>> 
>>>>>>> 
>>>>>>> 
>>>>>>> 
>>>>>>> 
>>>>>>> ÔÚ2010-05-12 01:16:18£¬"Roger Bivand" <roger.biv...@nhh.no> дµÀ£º
>>>>>>>> On Wed, 12 May 2010, huangykiz wrote:
>>>>>>>> 
>>>>>>>>> Hi, I just need one for global, not *each* fit point. In this case, 
>>>>>>>>> how 
>>>>>>>>> can I select or do? Why in other software such as SAM(Spatial 
>>>>>>>>> Analysis 
>>>>>>>>> in Macroecology) just gives one R2?
>>>>>>>> 
>>>>>>>> If you believe theirs, good luck! The authors of the GWR book have 
>>>>>>>> local 
>>>>>>>> R^2 values in GWR3 and formulae that are wrong by their own admission 
>>>>>>>> in 
>>>>>>>> private emails. The localR2 now agrees with the as-yet unreleased GWR4 
>>>>>>>> from the GWR authors. How SAM can be "better", I don't know. What you 
>>>>>>>> are suggesting is that the model fitted with fit points at data points 
>>>>>>>> (but not at other fit points) might have a "quasi-global" R^2, based 
>>>>>>>> on 
>>>>>>>> the RSS of the pooled fit. For the columbus case, that might be:
>>>>>>>> 
>>>>>>>> 1 - (col.gauss$results$rss/crossprod(scale(columbus$crime, 
>>>>>>>> scale=FALSE)))
>>>>>>>> 
>>>>>>>> but I don't know whether this is in any way correct. I've added it as:
>>>>>>>> 
>>>>>>>> Quasi-global R2:
>>>>>>>> 
>>>>>>>> to the print output of a GWR model fitted with a hatmatrix, and have 
>>>>>>>> committed it to sourceforge, project r-spatial, module spgwr. 
>>>>>>>> Arguably, 
>>>>>>>> it ought to be adjusted by the ratio of degrees of freedom, but I 
>>>>>>>> don't 
>>>>>>>> trust the DF either. Could you please check out spgwr from sourceforge 
>>>>>>>> ,install it from source, and confirm that the "quasi-global R2" does 
>>>>>>>> the 
>>>>>>>> same as SAM, or use the code sketch above to do the same, and report 
>>>>>>>> back?
>>>>>>>> 
>>>>>>>> Roger
>>>>>>>> 
>>>>>>>>> 
>>>>>>>>> Thanks a lot.
>>>>>>>>> 
>>>>>>>>> Cheers,
>>>>>>>>> 
>>>>>>>>> 
>>>>>>>>> 
>>>>>>>>> 
>>>>>>>>> 
>>>>>>>>> ÔÚ2010-05-11 23:59:44£¬"Roger Bivand" <roger.biv...@nhh.no> дµÀ£º
>>>>>>>>>> On Tue, 11 May 2010, huangykiz wrote:
>>>>>>>>>> 
>>>>>>>>>>> Hi,
>>>>>>>>>>> 
>>>>>>>>>>> There are 49  localR2 in the results. Which one do I need? The code 
>>>>>>>>>>> "look for localR2:" cannot run.
>>>>>>>>>> 
>>>>>>>>>> Well, how many do you want? There is one for each fit point, they 
>>>>>>>>>> are 
>>>>>>>>>> *local* R2. Please do try to grasp what GWR does - it fits one 
>>>>>>>>>> moddel 
>>>>>>>>>> for *each* fit point.
>>>>>>>>>> 
>>>>>>>>>>> 
>>>>>>>>>>> Thans a lot
>>>>>>>>>>> 
>>>>>>>>>>> Cheers.
>>>>>>>>>>> 
>>>>>>>>>>> 
>>>>>>>>>>> 
>>>>>>>>>>> 
>>>>>>>>>>> 
>>>>>>>>>>> ÔÚ2010-05-11 22:33:59£¬"Roger Bivand" <roger.biv...@nhh.no> дµÀ£º
>>>>>>>>>>>> On Tue, 11 May 2010, huangykiz wrote:
>>>>>>>>>>>> 
>>>>>>>>>>>>> Hi, OK. But I need it for compariation. In what some contexts to 
>>>>>>>>>>>>> get it? May you tell me how to get it?
>>>>>>>>>>>> 
>>>>>>>>>>>> library(spgwr)
>>>>>>>>>>>> data(columbus)
>>>>>>>>>>>> col.bw <- gwr.sel(crime ~ income + housing, data=columbus,
>>>>>>>>>>>>  coords=cbind(columbus$x, columbus$y))
>>>>>>>>>>>> col.gauss <- gwr(crime ~ income + housing, data=columbus,
>>>>>>>>>>>>  coords=cbind(columbus$x, columbus$y), bandwidth=col.bw, 
>>>>>>>>>>>> hatmatrix=TRUE)
>>>>>>>>>>>> names(col.gauss$SDF)
>>>>>>>>>>>> 
>>>>>>>>>>>> look for localR2:
>>>>>>>>>>>> 
>>>>>>>>>>>> col.gauss$SDF$localR2
>>>>>>>>>>>> 
>>>>>>>>>>>> But do not rely on it or use it for anything at all! Like all GWR, 
>>>>>>>>>>>> it is most unreliable!
>>>>>>>>>>>> 
>>>>>>>>>>>> Roger Bivand
>>>>>>>>>>>> 
>>>>>>>>>>>>> 
>>>>>>>>>>>>> Thank you very much for your great helps
>>>>>>>>>>>>> 
>>>>>>>>>>>>> Best regards.
>>>>>>>>>>>>> 
>>>>>>>>>>>>> 
>>>>>>>>>>>>> 
>>>>>>>>>>>>> 
>>>>>>>>>>>>> 
>>>>>>>>>>>>> ÔÚ2010-05-11 18:28:44£¬"Roger Bivand" <roger.biv...@nhh.no> дµÀ£º
>>>>>>>>>>>>>> On Tue, 11 May 2010, huangykiz wrote:
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>> Dear professor Bivand,
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>> I am a strudent. I recently use GWR(Geographically weighted 
>>>>>>>>>>>>>>> regression) model. May I ask you a question? There is not 
>>>>>>>>>>>>>>> Coefficient of Determination in the results of GWR. How can I 
>>>>>>>>>>>>>>> get 
>>>>>>>>>>>>>>> it? What is the programs to get it?
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> Please address questions like this to the R-sig-geo list rather 
>>>>>>>>>>>>>> than to me directly in future.
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> The local R2 values are available in some contexts when running 
>>>>>>>>>>>>>> gwr(), but are not well defined (neither in the GWR book nor in 
>>>>>>>>>>>>>> implementations). I advise against their use - they are most 
>>>>>>>>>>>>>> probably meaningless.
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> Hope this helps,
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> Roger Bivand
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>> Thank you very much for your any helps.
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>> Best regards.
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>> Yong Huang
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> -- 
>>>>>>>>>>>>>> Roger Bivand
>>>>>>>>>>>>>> Economic Geography Section, Department of Economics, Norwegian 
>>>>>>>>>>>>>> School of
>>>>>>>>>>>>>> Economics and Business Administration, Helleveien 30, N-5045 
>>>>>>>>>>>>>> Bergen,
>>>>>>>>>>>>>> Norway. voice: +47 55 95 93 55; fax +47 55 95 95 43
>>>>>>>>>>>>>> e-mail: roger.biv...@nhh.no
>>>>>>>>>>>>>> 
>>>>>>>>>>>> 
>>>>>>>>>>>> -- 
>>>>>>>>>>>> Roger Bivand
>>>>>>>>>>>> Economic Geography Section, Department of Economics, Norwegian 
>>>>>>>>>>>> School of
>>>>>>>>>>>> Economics and Business Administration, Helleveien 30, N-5045 
>>>>>>>>>>>> Bergen,
>>>>>>>>>>>> Norway. voice: +47 55 95 93 55; fax +47 55 95 95 43
>>>>>>>>>>>> e-mail: roger.biv...@nhh.no
>>>>>>>>>> 
>>>>>>>>>> -- 
>>>>>>>>>> Roger Bivand
>>>>>>>>>> Economic Geography Section, Department of Economics, Norwegian 
>>>>>>>>>> School 
>>>>>>>>>> of
>>>>>>>>>> Economics and Business Administration, Helleveien 30, N-5045 Bergen,
>>>>>>>>>> Norway. voice: +47 55 95 93 55; fax +47 55 95 95 43
>>>>>>>>>> e-mail: roger.biv...@nhh.no
>>>>>>>> 
>>>>>>>> -- 
>>>>>>>> Roger Bivand
>>>>>>>> Economic Geography Section, Department of Economics, Norwegian School 
>>>>>>>> of
>>>>>>>> Economics and Business Administration, Helleveien 30, N-5045 Bergen,
>>>>>>>> Norway. voice: +47 55 95 93 55; fax +47 55 95 95 43
>>>>>>>> e-mail: roger.biv...@nhh.no
>>>>>> 
>>>>>> -- 
>>>>>> Roger Bivand
>>>>>> Economic Geography Section, Department of Economics, Norwegian School of
>>>>>> Economics and Business Administration, Helleveien 30, N-5045 Bergen,
>>>>>> Norway. voice: +47 55 95 93 55; fax +47 55 95 95 43
>>>>>> e-mail: roger.biv...@nhh.no
>>>>
>>>>
>>>
>>> -- 
>>> Roger Bivand
>>> Economic Geography Section, Department of Economics, Norwegian School of
>>> Economics and Business Administration, Helleveien 30, N-5045 Bergen,
>>> Norway. voice: +47 55 95 93 55; fax +47 55 95 95 43
>>> e-mail: roger.biv...@nhh.no
>
>-- 
>Roger Bivand
>Economic Geography Section, Department of Economics, Norwegian School of
>Economics and Business Administration, Helleveien 30, N-5045 Bergen,
>Norway. voice: +47 55 95 93 55; fax +47 55 95 95 43
>e-mail: roger.biv...@nhh.no

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