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Grid-spacing and the quality of abundance maps for species that show spatial autocorrelation and zero-inflation
Lyashevska, O.; Brus, D.J.; Van der Meer, J. (2016). Grid-spacing and the quality of abundance maps for species that show spatial autocorrelation and zero-inflation. Spatial Statistics 18(Part B): 386–395. dx.doi.org/10.1016/j.spasta.2016.08.001
In: Spatial Statistics. Elsevier SCI Ltd: Oxford. ISSN 2211-6753, more
Peer reviewed article  

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Author keywords
    Count data; Generalized linear geostatistical modelling; Autocorrelation; Zero-inflation; Grid-spacing

Authors  Top 
  • Lyashevska, O., more
  • Brus, D.J.
  • Van der Meer, J., more

Abstract
    The effect of grid-spacing on the quality of species abundance maps is explored for species that show zero-inflation and spatial autocorrelation. Using a zero-inflated Poisson mixture model multiple fields of the prevalence parameter ππ and the intensity parameter μμ were simulated. A selected field was sampled by grid-sampling with 200, 400, 800, 1600, and 3200 m grid-spacing and used to predict at a fixed set of validation locations by simple kriging with an external drift. The external drift variables were silt, silt squared and altitude. The estimated sampling distribution of MSE against grid-spacing shows that beyond a spacing of 1600 m the mean of MSE increases at a much faster rate. Based on these findings the 1600 m grid which consists of 446 locations for our study area of 2400 km2 gives a compromise between sampling costs and prediction accuracy.

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