G. Welp et al., INORGANIC TOXICANTS IN SOILS OF NORTH-RHI NE-WESTPHALIA - I - EVALUATION OF MULTIMODAL FREQUENCY-DISTRIBUTIONS, Zeitschrift fur Pflanzenernahrung und Bodenkunde, 161(3), 1998, pp. 205-210
In 335 sail samples from North Rhine-Westphalia the:contents of 18 ele
ments were quantified (total contents, mobilizalbe fraction:(extractio
n with EDTA cocktail);mobile fraction (extraction with NH4NO3). An ins
pection of the resulting histograms revealed that the distribution of
element contents in soils is not normal and even not log-normal. The a
ppearance of several peaks indicates the existence of multi-modal dist
ributions with.various independent sub-distributions. Two methods for
analysing such:,data sets are presented-The parametric approach assume
s several single lognormal components, which are fitted by the Expecta
tion Maximization Algorithm. In a nonparametric approach the Kernel De
nsity Estimation is used. With this procedure five to ten concentratio
n levels can be determined per element for our data set with correspon
ding groups of soil samples being characterized by common features (e.
g., parent material, region of origin, specific source of pollution).
This way,e.g:, background concentrations for potentially toxic element
s can be derived. The parametric approach is lacking sharpness of sepa
ration in the case of more than four subdistributions.