Introduction to WinBUGS for Ecologists

A Bayesian Approach to Regression, Anova, Mixed Models, and Related Analyses
Erscheinungsjahr 2010
ISBN: 978-0-12-378605-0
Verlag: Elsevier Science

Buch, Englisch, 320 Seiten, Format (B × H): 154 mm x 232 mm, Gewicht: 655 g

Introduction to WinBUGS for Ecologists introduces applied Bayesian modeling to ecologists using the highly acclaimed, free WinBUGS software. It offers an understanding of statistical models as abstract representations of the various processes that give rise to a data set. Such an understanding is basic to the development of inference models tailored to specific sampling and ecological scenarios. The book begins by presenting the advantages of a Bayesian approach to statistics and introducing the WinBUGS software. It reviews the four most common statistical distributions: the normal, the uniform, the binomial, and the Poisson. It describes the two different kinds of analysis of variance (ANOVA): one-way and two- or multiway. It looks at the general linear model, or ANCOVA, in R and WinBUGS. It introduces generalized linear model (GLM), i.e., the extension of the normal linear model to allow error distributions other than the normal. The GLM is then extended contain additional sources of random variation to become a generalized linear mixed model (GLMM) for a Poisson example and for a binomial example. The final two chapters showcase two fairly novel and nonstandard versions of a GLMM. The first is the site-occupancy model for species distributions; the second is the binomial (or N-) mixture model for estimation and modeling of abundance.

Zielgruppe

Ecologists, upper-level graduate and graduate ecology students.

Autoren/Hrsg.

Kéry, Marc

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Naturwissenschaften Biowissenschaften Biowissenschaften Terrestrische Ökologie
• Mathematik | Informatik EDV | Informatik Business Application Mathematische & Statistische Software
• Naturwissenschaften Biowissenschaften Biowissenschaften Ökologie
• Naturwissenschaften Biowissenschaften Biowissenschaften Naturschutzbiologie, Biodiversität
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Naturwissenschaften Biowissenschaften Biowissenschaften Meeres- und Süßwasserökologie

Inhaltsverzeichnis

1. Introduction
2. Principles of Bayesian Statistics
3. WinBUGS
4. A First Session in WinBUGS
5. Running WinBUGS from R via R2WinBUGS
6. Key Components of Generalized Linear Models
7. T-Test, Normal Linear Regression
8. Normal One-Way ANOVA
9. Interaction, General Linear Model
10. Linear Mixed-Effects Model
11. Introduction to the Generalized Linear Model (GLM)
12. Overdispersion and Offsets in the GLM
13. Poisson ANCOVA
14. Poisson Mixed-Effects Model
15. Binomial T-Test
16. Binomial ANCOVA
17. Binomial Mixed-Effects Model
18. Non-Standard GLMMs 1
19. Non-Standard GLMMs 2
20. Conclusion and Outlook
Acknowledgements
References

Über Autor(innen)

Kéry, Marc
Dr. Marc Kéry is a senior scientist at the Swiss Ornithological Institute, a non-profit NGO with about 200 employees dedicated primarily to bird research, monitoring, and conservation. Marc was trained as a plant population ecologist at the universities of Basel and Zürich, Switzerland. After a 2-year postdoc at the (then) USGS Patuxent Wildlife Center in Laurel, USA, he moved into animal population ecology and during the last 25 years has worked at the interface between population ecology, biodiversity monitoring, wildlife management, and applied statistics. He has published more than 150 peer-reviewed journal articles and six textbooks on applied statistical modeling. He has taught more than 60 one-week workshops all over the world to biologists and wildlife managers about the concepts and practice of modern statistical analysis in their fields, something which goes together with his books, which target the same audiences.