Poisson cokriging as a generalized linear mixed model

Lynette M. Smith, Walter W. Stroup, David B. Marx

Research output: Contribution to journalArticle

Abstract

It is often of interest to predict spatially correlated count outcomes that follow a Poisson distribution. For example, in the environmental sciences we may want to predict pollen counts using temperature or precipitation data as auxiliary variables. To predict a Poisson outcome variable in the presence of an auxiliary variable, Poisson cokriging as a Generalized Linear Mixed Model (GLMM) is proposed. This model has a bivariate structure with a Poisson outcome variable and an auxiliary variable. A covariance matrix similar to that used in cokriging is assumed. A simulation study and a real data example using the number of microplastics in the digestive tracts of fish are presented. The results showed that Poisson cokriging methodology can be applied successfully in practice with small average errors and coverage close to 95%. The Poisson cokriging model can be a useful tool for spatial prediction.

Original languageEnglish (US)
Article number100399
JournalSpatial Statistics
Volume35
DOIs
StatePublished - Mar 2020

Fingerprint

Cokriging
Generalized Linear Mixed Model
Siméon Denis Poisson
Auxiliary Variables
Poisson distribution
Predict
Covariance matrix
Count
Fish
Spatial Prediction
pollen
Pollen
matrix
methodology
fish
prediction
Coverage
simulation
Simulation Study
temperature

Keywords

  • Cokriging
  • Poisson
  • Spatial prediction

ASJC Scopus subject areas

  • Statistics and Probability
  • Computers in Earth Sciences
  • Management, Monitoring, Policy and Law

Cite this

Poisson cokriging as a generalized linear mixed model. / Smith, Lynette M.; Stroup, Walter W.; Marx, David B.

In: Spatial Statistics, Vol. 35, 100399, 03.2020.

Research output: Contribution to journalArticle

Smith, Lynette M. ; Stroup, Walter W. ; Marx, David B. / Poisson cokriging as a generalized linear mixed model. In: Spatial Statistics. 2020 ; Vol. 35.
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