Generalized Linear Latent Variable Models for Multivariate Count and Biomass Data in Ecology

• Published in: Journal of agricultural, biological, and environmental statistics Vol. 22; no. 4; pp. 498 - 522
• Main Authors: Niku, Jenni, Warton, David I., Hui, Francis K. C., Taskinen, Sara
• Format: Journal Article
• Language: English
• Published: New York Springer 01.12.2017; Springer US; Springer Nature B.V
• Subjects: Agriculture; Analysis; Approximation; Approximation method; Arctic region; Bacteria; Biomass; Biostatistics; Computer simulation; Coral reef ecosystems; Coral reefs; data collection; Ecological monitoring; Ecological studies; Economic models; environmental factors; Estimates; Europe; Health Sciences; Inference; linear models; Mathematics and Statistics; Medicine; Modelling; Monitoring/Environmental Analysis; Multivariate analysis; Ordination; ordination techniques; Reefs; Species; Statistics; Statistics for Life Sciences; Arctic region; Europe; Biomass; Overdispersed count; Species interactions; Ordination; Laplace approximation

In this paper we consider generalized linear latent variable models that can handle overdispersed counts and continuous but non-negative data. Such data are common in ecological studies when modelling multivariate abundances or biomass. By extending the standard generalized linear modelling framewor...