期刊
ANNALS OF APPLIED STATISTICS
卷 9, 期 1, 页码 1-26出版社
INST MATHEMATICAL STATISTICS
DOI: 10.1214/14-AOAS801
关键词
American Community Survey; American Robin; Conway-Maxwell Poisson; negative binomial; overdispersion; parallel computing; unbalanced data; underdispersion
资金
- U.S. National Science Foundation (NSF)
- U.S. Census Bureau under NSF [SES-1132031]
- NSF-Census Research Network (NCRN) program
- NSF [DMS-10-49093]
- NSF Long-Term Ecological Research Program [DEB-1027188]
- Division Of Environmental Biology
- Direct For Biological Sciences [1027188] Funding Source: National Science Foundation
- Divn Of Social and Economic Sciences
- Direct For Social, Behav & Economic Scie [1132031] Funding Source: National Science Foundation
Investigation of species abundance has become a vital component of many ecological monitoring studies. The primary objective of these studies is to understand how specific species are distributed across the study domain, as well as quantification of the sampling efficiency for detecting these species. To achieve these goals, preselected locations are sampled during scheduled visits, in which the number of species observed at each location is recorded. This results in spatially referenced replicated count data that are often unbalanced in structure and exhibit overdispersion. Motivated by the Baltimore Ecosystem Study, we propose Bayesian hierarchical binomial mixture models, including Binomial Conway-Maxwell Poisson (Bin-CMP) mixture models, that formally account for varying levels of spatial dispersion. Our proposed models also allow for variable selection of model covariates and grouping of dispersion parameters through the implementation of reversible jump Markov chain Monte Carlo methodology. Finally, using demographic covariates from the American Community Survey, we demonstrate the effectiveness of our approach through estimation of abundance for the American Robin (Turdus migratorius) in the Baltimore Ecosystem Study.
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