Abstract
Species distribution models are used to evaluate the variables that affect the distribution and abundance of species and to predict biodiversity. Historically, such models have been fitted to each species independently. While independent models can provide useful information regarding distribution and abundance, they ignore the fact that, after accounting for environmental covariates, residual interspecies dependence persists. With stacking of individual models, misleading behaviors, may arise. In particular, individual models often imply too many species per location.
Recently developed joint species distribution models have application to presence–absence, continuous or discrete abundance, abundance with large numbers of zeros, and discrete, ordinal, and compositional data. Here, we deal with the challenge of joint modeling for a large number of species. To appreciate the challenge in the simplest way, with just presence/absence (binary) response and say,
We develop a computationally feasible approach to accommodate a large number of species (say order
We use Forest Inventory Analysis (FIA) data in the eastern region of the United States to demonstrate our method. It consists of presence–absence measurements for 112 tree species, observed east of the Mississippi. As a proof of concept for our dimension reduction approach, we also include simulations using continuous and binary data.
Citation
Daniel Taylor-Rodríguez. Kimberly Kaufeld. Erin M. Schliep. James S. Clark. Alan E. Gelfand. "Joint Species Distribution Modeling: Dimension Reduction Using Dirichlet Processes." Bayesian Anal. 12 (4) 939 - 967, December 2017. https://doi.org/10.1214/16-BA1031
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