Resource Selection by Animals

Statistical Design and Analysis for Field Studies

By: B.F. Manly, L. McDonald, Dana Thomas

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Hardcover | 30 June 2002 | Edition Number 2

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Hardcover
240 Pages

Edition Type
Revised

Dimensions(cm)
24.13 x 15.88 x 1.27

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We have written this book as a guide to the design and analysis of field studies of resource selection, concentrating primarily on statistical aspects of the comparison of the use and availability of resources of different types. Our intended audience is field ecologists in general and, in particular, wildlife and fisheries biologists who are attempting to measure the extent to which real animal populations are selective in their choice of food and habitat. As such, we have made no attempt to address those aspects of theoretical ecology that are concerned with how animals might choose their resources if they acted in an optimal manner. The book is based on the concept of a resource selection function (RSF), where this is a function of characteristics measured on resourceunits such that its value for a unit is proportional to the probability of that unit being used. We argue that this concept leads to a unified theory for the analysis and interpretation of data on resource selection and can replace many ad hoc statistical methods that have been used in the past.

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You Can Find This Book In

Non-Fiction Science Biology, Life Sciences Life Sciences in General Ecological Science Mathematics Probability & Statistics Earth Sciences, Geography, Environment, Planning The Environment Applied Ecology Zoology & Animal Sciences Animal Behaviour

Applied Mathematics Mathematical Modelling Engineering & Technology Environmental Science Environmental Management

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Paperback

Published: 3rd December 2010

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Preface	p. ix
List of Symbols	p. xi
Introduction to Resource Selection Studies	p. 1
Motivation and Definitions	p. 1
The Data for Resource Selection Studies	p. 3
Sampling Protocols and Study Designs	p. 4
Comparison of Designs	p. 8
Indices of Selection	p. 9
Hypothesis Tests and Confidence Intervals	p. 11
Discussion	p. 14
Chapter Summary	p. 15
Statistical Modelling Procedures	p. 16
Simple Sample Comparisons	p. 16
Linear Regression	p. 17
Logistic Regression	p. 17
Log-Linear Models	p. 18
Proportional Hazards Models	p. 18
Generalized Linear Models	p. 19
Tests Used in Modelling	p. 20
Model Selection Using AIC	p. 21
Analysis of Residuals	p. 22
Multiple tests and confidence intervals	p. 22
Bootstrap Methods	p. 23
Chapter Summary	p. 24
Examples of the Use of Resource Selection Functions	p. 27
Introduction	p. 27
Examples	p. 28
Sample Designs	p. 42
Assumptions	p. 43
Chapter Summary	p. 44
Studies with Resources Defined by Several Categories	p. 46
Introduction	p. 46
Sampling Designs and Protocols	p. 46
Choice of Estimators for Selection Ratios	p. 47
Variance of a Ratio and the Difference of Ratios	p. 48
Chi-Squared Tests	p. 49
Design I with Known Proportions of Available Resource Units	p. 50
Tests on Proportions of Used Units	p. 52
Inferences Concerning Selection Ratios	p. 55
Comparison of Selection Ratios	p. 57
Design I with Estimated Proportions of Available Resource Units	p. 59
Design II with Sampling Protocol A	p. 64
Census of Available Resource Units	p. 65
Sample of Available Resource Units	p. 72
Design III with Sampling Protocol A	p. 76
Census of Available Resource Units	p. 76
Sample of Available Resource Units	p. 78
Discussion	p. 78
Chapter Summary	p. 80
Exercise	p. 81
Resource Selection Functions from Logistic Regression	p. 83
Census Data	p. 83
Use With a Random Sample of Resource Units	p. 84
Separate Sampling	p. 99
Separate Samples of Available and Used Units	p. 99
Separate Samples of Available and Unused Units	p. 102
Separate Samples of Used and Unused Units	p. 103
Variances for Estimators and Their Differences	p. 106
Discussion	p. 109
Chapter Summary	p. 110
Exercises	p. 110
Resource Selection Over Several Time Periods	p. 118
Census Data	p. 118
Sample Data	p. 123
Small Proportions of Used Resource Units Sampled	p. 127
Samples of Unused Resource Units Only	p. 132
Chapter Summary	p. 135
Exercises	p. 135
Log-linear Modelling	p. 139
General Log-linear Modelling of Count Data	p. 139
Examples	p. 140
Chapter Summary	p. 148
Exercise	p. 149
Discrete Choice Models with Changing Availability	p. 150
The Theory of Discrete Choice Models	p. 150
Two Units Per Choice Set	p. 152
Examples	p. 153
Availability Sampled	p. 161
Chapter Summary	p. 162
Exercises	p. 162
Applications Using Geographic Information Systems	p. 164
Defining Use and Availability	p. 164
Variable and Model Selection	p. 165
Mapping of Resource Selection Functions	p. 165
Examples	p. 165
Chapter Summary	p. 170
Discriminant Function Analysis	p. 171
Linear Discriminant Function Analysis	p. 171
Samples of Available and Used Resource Units	p. 173
Samples of Available and Unused Resource Units	p. 173
Samples of Unused and Used Resource Units	p. 174
Quadratic Discriminant Function Analysis	p. 177
Discussion	p. 177
Chapter Summary	p. 177
Exercise	p. 178
Analysis of the Amount of Use	p. 179
Introduction	p. 179
Analysis of Counts of the Amount of Use	p. 179
Analysis of Continuous Measures of the Amount of Use	p. 187
Mixtures of Zeros and Positive Measures of the Amount of Use	p. 189
Chapter Summary	p. 190
Estimation of a Modified Log-Linear Model	p. 190
Some Other Types of Analysis	p. 192
Compositional Analysis	p. 192
Mahalanobis Distance	p. 195
Estimation Using Machine Learning Methods	p. 197
Chapter Summary	p. 199
Risk Assessment and Population Size Estimation	p. 200
Risk Assessment	p. 200
Estimating Population Size	p. 203
Chapter Summary	p. 204
Computing	p. 205
General Considerations	p. 205
Logistic Regression Example Code	p. 205
Log-linear Model Example Code	p. 207
Discrete Choice Model Example Code	p. 208
Chapter Summary	p. 209
References	p. 210
Name Index	p. 217
Subject Index	p. 220
Table of Contents provided by Ingram. All Rights Reserved.

Resource Selection by Animals

Statistical Design and Analysis for Field Studies

At a Glance

Hardcover

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How to return your order

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You Can Find This Book In

Other Editions and Formats

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