Title
Spatial sampling plans to monitor the 3-D spatial distribution of extremes in soil pollution surveys
Abstract
A spatial sampling strategy is proposed for monitoring the exceedances of soil pollutants over a given regulatory threshold in a discretized three-dimensional (3-D) portion of space. In each site of the study area, an indicator variable is defined assuming a value of 1 if the threshold is exceeded and 0 otherwise. The spatial distribution of such variables represents an expected probability map of exceeding the threshold, characterized by a certain degree of spatial dependence. The first and second order moments of the indicator variates can be estimated by making use of extreme value theory and models for threshold excesses. The MEV (minimum estimation variance) sampling strategy is then exploited to select sequentially a network of monitored locations which optimally predicts the proportion of sites in which the pollutant under study is exceeding a critical level. In order to illustrate the methods, a data set will be analyzed related to soil pollution concentrations of polycyclic aromatic hydrocarbons (PAHs) observed in an industrial site in Italy.
Year
DOI
Venue
2007
10.1016/j.csda.2007.01.002
Computational Statistics & Data Analysis
Keywords
Field
DocType
industrial site,spatial dependence,spatial sampling plan,soil pollution survey,regulatory threshold,spatial distribution,extreme value theory,indicator variable,threshold excess,spatial sampling strategy,indicator variate,order moment,3-d spatial distribution,second order,threshold model,three dimensional,soil pollution,sequential sampling,environmental survey
Econometrics,Spatial dependence,Extreme value theory,Pollution,Probability distribution,Sampling (statistics),Statistics,Mathematics,Soil water,Spatial distribution,Soil Pollutants
Journal
Volume
Issue
ISSN
51
8
Computational Statistics and Data Analysis
Citations 
PageRank 
References 
1
0.72
1
Authors
3
Name
Order
Citations
PageRank
Giuseppe Arbia1388.79
Giovanni Lafratta242.09
Carla Simeoni310.72