POISSON COKRIGING AS A GENERALIZED LINEAR MIXED MODEL.

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

DOI: 10.1016/J.SPASTA.2019.100399

关键词:

摘要: 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 pollen counts using temperature or precipitation data as auxiliary variables. To outcome variable presence an variable, cokriging Generalized Linear Mixed Model (GLMM) proposed. This model has bivariate structure with and variable. A covariance matrix similar used assumed. simulation study real example number microplastics digestive tracts fish are presented. The results showed methodology can be applied successfully practice small average errors coverage close 95%. useful tool for spatial prediction.

参考文章(58)
Pascal Monestiez, Laurent Dubroca, Emilie Bonnin, Jean-Pierre Durbec, Christophe Guinet, Comparison of Model Based Geostatistical Methods in Ecology: Application to Fin Whale Spatial Distribution in Northwestern Mediterranean Sea Geostatistics Banff 2004. pp. 777- 786 ,(2005) , 10.1007/978-1-4020-3610-1_81
Inbal Yahav, Galit Shmueli, Robert H. Smith, An Elegant Method for Generating Multivariate Poisson Random Variables arXiv: Computation. ,(2008)
Bradley P. Carlin, Thomas A. Louis, Bayesian Methods for Data Analysis ,(2008)
E. Warnery, G. Ielsch, C. Lajaunie, E. Cale, H. Wackernagel, C. Debayle, J. Guillevic, Indoor terrestrial gamma dose rate mapping in France: a case study using two different geostatistical models Journal of Environmental Radioactivity. ,vol. 139, pp. 140- 148 ,(2015) , 10.1016/J.JENVRAD.2014.10.002
Jose Angulo, Hwa-Lung Yu, Andrea Langousis, Alexander Kolovos, Jinfeng Wang, Ana Esther Madrid, George Christakos, Spatiotemporal Infectious Disease Modeling: A BME-SIR Approach PLoS ONE. ,vol. 8, pp. e72168- ,(2013) , 10.1371/JOURNAL.PONE.0072168
Nadine Schur, Eveline Hürlimann, Anna-Sofie Stensgaard, Kingford Chimfwembe, Gabriel Mushinge, Christopher Simoonga, Narcis B. Kabatereine, Thomas K. Kristensen, Jürg Utzinger, Penelope Vounatsou, Spatially explicit Schistosoma infection risk in eastern Africa using Bayesian geostatistical modelling. Acta Tropica. ,vol. 128, pp. 365- 377 ,(2013) , 10.1016/J.ACTATROPICA.2011.10.006
S. P. Gessel, R. B. Walker, Studies of Soils and Plants in the Northern Marshall Islands Atoll research bulletin. ,vol. 359, pp. 1- 70 ,(1992) , 10.5479/SI.00775630.359.1
R. Kerry, P. Goovaerts, I.P.J. Smit, B.R. Ingram, A comparison of multiple indicator kriging and area-to-point Poisson kriging for mapping patterns of herbivore species abundance in Kruger National Park, South Africa International Journal of Geographical Information Science. ,vol. 27, pp. 47- 67 ,(2013) , 10.1080/13658816.2012.663917