Hi,

I am working myself with pollution data in soils and i have very high 
values very close to very low values, and highly skewed 
distribution. I am more and more concerned with doing kriging on 
transformed data. This simply means we believe the data came 
from only one population. But what if it comes from 2 different 
populations representing 2 different polluting processes? Much 
more if we do believe there are no gross error measurements. The 
fact that high values are very close to low values would tell me that 
the spatial autocorrelation is violated locally. I would try first to see 
if the outliers (local and global) represent a different population, if 
these values cluster or not, how significant is the association high-
low values, and if the global Moran's I increases if i eliminate the 
"outliers". Maybe the majority of the data which have a higher 
spatial autocorrelation belong to a "better expressed" diffusive 
process, (maybe an older one) while the rest of the data which 
were identified as outliers before, represent a more patch-y or point 
source pollution process which didn't have time to diffuse over the 
entire study area (a younger process, maybe?).

Of course if you have proof that the data came from only one 
population then .... it is a different story.

I will really appreciate to hear other opinions about these thoughts.

Thanks,

Monica

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