Bayesian Methods for Ecology

By: Michael A. McCarthy

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Paperback | 10 May 2007

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312 Pages

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22.86 x 15.24 x 1.65

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The interest in using Bayesian methods in ecology is increasing, however many ecologists have difficulty with conducting the required analyses. McCarthy bridges that gap, using a clear and accessible style. The text also incorporates case studies to demonstrate mark-recapture analysis, development of population models and the use of subjective judgement. The advantages of Bayesian methods, are also described here, for example, the incorporation of any relevant prior information and the ability to assess the evidence in favour of competing hypotheses. Free software is available as well as an accompanying web-site containing the data files and WinBUGS codes. Bayesian Methods for Ecology will appeal to academic researchers, upper undergraduate and graduate students of Ecology.

Industry Reviews

"[This book] will advance any ecologists' understanding of Bayesian statistics. ... the many diverse examples, which are the book's greatest strength, make the topic very approachable, even for people with moderate understanding of statistical theory. ... I therefore would highly recommend it to any ecologist interested in learning more about Bayesian statistics, and especially to those who want to learn to run Bayesian analyses in Win BUGS." - Tabitha Graves, Ecology

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Preface	p. xi
Introduction	p. 1
Logic in determining the presence or absence of a species	p. 4
Estimation of a mean	p. 20
Concluding remarks	p. 29
Critiques of statistical methods	p. 30
Introduction	p. 30
Sex ratio of koalas	p. 31
Null hypothesis significance testing	p. 35
Information-theoretic methods	p. 45
Bayesian methods	p. 52
Estimating effect sizes	p. 58
Concluding remarks	p. 61
Analysing averages and frequencies	p. 63
The average	p. 63
The Poisson distribution with extra variation	p. 71
Estimating differences	p. 71
Required sample sizes when estimating means	p. 73
Estimating proportions	p. 81
Multinomial models	p. 88
Concluding remarks	p. 92
How good are the models?	p. 94
How good is the fit?	p. 95
How complex is the model?	p. 101
Combining measures of fit and simplicity	p. 105
The Bayes factor and model probabilities	p. 108
Evaluating the shape of distributions	p. 116
Concluding remarks	p. 118
Regression and correlation	p. 119
Regression	p. 119
Correlation	p. 148
Concluding remarks	p. 156
Analysis of variance	p. 158
One-way ANOVA	p. 158
Coding of variables	p. 159
Fixed and random factors	p. 162
Two-way ANOVA	p. 165
Interaction terms in ANOVA	p. 167
Variance partitioning	p. 167
An example of ANOVA: effects of vegetation removal on a marsupial	p. 170
Analysis of covariance	p. 180
ANCOVA: a case study	p. 182
Log-linear models for contingency tables	p. 190
Concluding remarks	p. 193
Case Studies
Mark-recapture analysis	p. 197
Methods	p. 197
Effects of marking frogs	p. 207
Logistic regression	p. 209
Model A	p. 210
Models B and C	p. 211
Population dynamics	p. 217
Mountain pygmy possums	p. 217
Subjective priors	p. 225
Eliciting probabilities	p. 225
Handling differences of opinion	p. 226
Using subjective judgements	p. 227
Using the consensus of experts	p. 227
Representing differences of opinion with subjective priors	p. 230
Using Bayesian networks to represent expert opinion	p. 236
Concluding remarks	p. 243
Conclusion	p. 244
Prior information	p. 244
Flexible statistical models	p. 245
Intuitive results	p. 245
Bayesian methods make us think	p. 245
A Bayesian future for ecology	p. 246
Appendices
A tutorial for running WinBUGS	p. 249
A summary of steps for running WinBUGS	p. 249
The steps in more detail	p. 249
How to write WinBUGS code	p. 253
Probability distributions	p. 255
Discrete random variables	p. 255
Continuous random variables	p. 257
Univariate discrete distributions	p. 261
Univariate continuous distributions	p. 266
Multivariate discrete distributions	p. 272
Multivariate continuous distributions	p. 273
Conjugacy	p. 275
MCMC algorithms	p. 277
Why does it work?	p. 280
References	p. 282
Index	p. 293
Table of Contents provided by Ingram. All Rights Reserved.

Bayesian Methods for Ecology

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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