J. Cardina et al., ANALYSIS OF SPATIAL-DISTRIBUTION OF COMMON LAMBSQUARTERS (CHENOPODIUM-ALBUM) IN NO-TILL SOYBEAN (GLYCINE-MAX), Weed science, 43(2), 1995, pp. 258-268
The nonuniform spatial distribution of weeds complicates sampling, mod
eling, and management of weed populations, Principles of a rational ap
proach to analysis of weed spatial distribution, combining classical a
nd spatial statistics, are presented using data for cumulative emergen
ce of common lambsquarters in no-tillage soybean fields in 1990 and 19
93. Classical statistics, dispersion indices, mean/variance relationsh
ips, and frequency histograms confirmed that raw and log(e)-transforme
d data were not normally distributed, that populations were aggregated
, and that large-scale trends in population means violated assumptions
of spatial statistics. Detrending was accomplished by median polishin
g log(e)-transformed data and confirmed by evaluation of standardized
residuals and frequency histograms. Detrended residuals were used to c
onstruct omni-directional and uni-directional semivariograms to descri
be the spatial structure of the populations. A spherical model fit to
the data was verified by cross validation, Semivariograms showed that
common lambsquarters density was spatially autocorrelated at distances
to 16 m, with more than 30% of the variance in density due to distanc
e between field locations. Comparisons of kriged estimates and their s
tandard deviations with and without detrending indicated that estimate
s using detrended data were more appropriate and more precise. Kriged
estimates of common lambsquarters density were used to draw contour ma
ps of the populations.