Preface |
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xiii | |
Acknowledgments |
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xvii | |
PART I FRAMEWORK FOR MODELING, ESTIMATION, AND MANAGEMENT OF ANIMAL POPULATIONS |
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Introduction to Population Ecology |
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3 | (1) |
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4 | (1) |
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Factors Affecting Populations |
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4 | (2) |
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Management of Animal Populations |
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6 | (1) |
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Individuals, Fitness, and Life History Characteristics |
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7 | (2) |
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9 | (1) |
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9 | (2) |
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Scientific Process in Animal Ecology |
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Causation in Animal Ecology |
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11 | (1) |
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Approaches to the Investigation of Causes |
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12 | (1) |
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13 | (3) |
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16 | (1) |
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Inductive Logic in Scientific Method |
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17 | (1) |
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18 | (1) |
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Investigating Complementary Hypotheses |
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18 | (1) |
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19 | (3) |
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Models and the Investigation of Populations |
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Types of Biological Models |
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22 | (1) |
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Keys to Successful Model Use |
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22 | (1) |
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Uses of Models in Population Biology |
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23 | (5) |
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Determinants of Model Utility |
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28 | (2) |
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Hypotheses, Models, and Science |
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30 | (1) |
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31 | (3) |
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Estimation and Hypothesis Testing in Animal Ecology |
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Statistical Distributions |
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34 | (8) |
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42 | (8) |
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50 | (5) |
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Information-Theoretic Approaches |
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55 | (2) |
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Bayesian Extension of Likelihood Theory |
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57 | (1) |
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58 | (2) |
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Survey Sampling and the Estimation of Population Parameters |
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60 | (1) |
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Features of a Sampling Design |
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61 | (1) |
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Simple Random and Stratified Random Sampling |
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62 | (5) |
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Other Sampling Approaches |
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67 | (7) |
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Common Problems in Sampling Designs |
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74 | (2) |
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76 | (4) |
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Design of Experiments in Animal Ecology |
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Principles of Experimental Design |
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80 | (3) |
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Completely Randomized Designs |
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83 | (6) |
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89 | (2) |
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Covariation and Analysis of Covariance |
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91 | (1) |
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92 | (5) |
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Random Effects and Nested Designs |
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97 | (3) |
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Statistical Power and Experimental Design |
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100 | (2) |
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Constrained Experimental Designs and Quasi-Experiments |
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102 | (4) |
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106 | (7) |
PART II DYNAMIC MODELING OF ANIMAL POPULATIONS |
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Principles of Model Development and Assessment |
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113 | (1) |
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Attributes of Population Models |
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114 | (3) |
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Describing Population Models |
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117 | (5) |
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Constructing a Population Model |
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122 | (4) |
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126 | (5) |
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A Systematic Approach to the Modeling of Animal Populations |
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131 | (3) |
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134 | (2) |
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Traditional Models of Population Dynamics |
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Density-Independent Growth-The Exponential Model |
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136 | (3) |
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Density-Dependent Growth-The Logistic Model |
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139 | (2) |
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141 | (2) |
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Models with Age Structure |
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143 | (14) |
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Models with Size Structure |
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157 | (2) |
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Models with Geographic Structure |
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159 | (2) |
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Lotka-Volterra Predator-Prey Models |
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161 | (3) |
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Models of Competing Populations |
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164 | (6) |
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A General Model for Interacting Species |
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170 | (1) |
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171 | (3) |
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Model Identification with Time Series Data |
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Model Identification Based on Ordinary Least Squares |
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174 | (2) |
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Other Measures of Model Fit |
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176 | (2) |
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Correlated Estimates of Population Size |
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178 | (1) |
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178 | (1) |
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Identifying Models with Population Size as a Function of Time |
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179 | (2) |
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Identifying Models Using Lagrangian Multipliers |
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181 | (1) |
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Stability of Parameter Estimates |
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181 | (1) |
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Identifying System Properties in the Absence of a Specified Model |
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182 | (2) |
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184 | (5) |
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Stochastic Processes in Population Models |
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Bernoulli Counting Processes |
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189 | (3) |
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Poisson Counting Processes |
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192 | (5) |
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Discrete Markov Processes |
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197 | (5) |
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Continuous Markov Processes |
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202 | (3) |
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205 | (2) |
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Markov Decision Processes |
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207 | (3) |
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210 | (3) |
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Other Stochastic Processes |
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213 | (7) |
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220 | (3) |
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The Use of Models in Conservation and Management |
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Dynamics of Harvested Populations |
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223 | (8) |
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Conservation and Extinction of Populations |
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231 | (6) |
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237 | (5) |
PART III ESTIMATION METHODS FOR ANIMAL POPULATIONS |
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Estimating Abundance Based on Counts |
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Overview of Abundance Estimation |
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242 | (1) |
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A Canonical Population Estimator |
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243 | (2) |
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245 | (1) |
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Complete Detectability of Individuals on Sample Units of Equal Area |
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245 | (2) |
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Complete Detectability of Individuals on Sample Units of Unequal Area |
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247 | (3) |
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Partial Detectability of Individuals on Sample Units |
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250 | (7) |
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Indices to Population Abundance or Density |
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257 | (4) |
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261 | (2) |
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Estimating Abundance with Distance-Based Methods |
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263 | (2) |
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265 | (13) |
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278 | (3) |
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Design of Line Transect and Point Sampling Studies |
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281 | (5) |
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286 | (1) |
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287 | (3) |
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Estimating Abundance for Closed Populations with Mark-Recapture Methods |
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Two-Sample Lincoln-Petersen Estimator |
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290 | (6) |
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K-Sample Capture-Recapture Models |
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296 | (18) |
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Density Estimation with Capture-Recapture |
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314 | (6) |
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320 | (5) |
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325 | (6) |
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331 | (3) |
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Estimation of Demographic Parameters |
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Detectability and Demographic Rate Parameters |
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334 | (3) |
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Analysis of Age Frequencies |
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337 | (6) |
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Analysis of Discrete Survival and Nest Success Data |
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343 | (8) |
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Analysis of Failure Times |
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351 | (10) |
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Random Effects and Known-Fate Data |
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361 | (1) |
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362 | (4) |
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Estimation of Survival Rates with Band Recoveries |
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366 | (17) |
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383 | (8) |
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Reward Studies for Estimating Reporting Rates |
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391 | (7) |
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Analysis of Band Recoveries for Nonharvested Species |
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398 | (4) |
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Poststratification of Recoveries and Analysis of Movements |
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402 | (4) |
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Design of Banding Studies |
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406 | (8) |
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414 | (4) |
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Estimating Survival, Movement, and Other State Transitions with Mark-Recapture Methods |
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418 | (20) |
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438 | (16) |
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454 | (14) |
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468 | (8) |
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Mark-Recapture with Auxiliary Data |
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476 | (13) |
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489 | (3) |
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492 | (4) |
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Estimating Abundance and Recruitment with Mark-Recapture Methods |
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496 | (1) |
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497 | (11) |
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508 | (3) |
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Pradel's Temporal Symmetry Approach |
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511 | (7) |
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Relationships among Approaches |
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518 | (2) |
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520 | (2) |
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522 | (2) |
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Combining Closed and Open Mark-Recapture Models: The Robust Design |
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524 | (5) |
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529 | (6) |
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Likelihood-Based Approach |
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535 | (3) |
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Special Estimation Problems |
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538 | (14) |
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552 | (1) |
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553 | (3) |
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Estimation of Community Parameters |
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An Analogy between Populations and Communities |
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556 | (1) |
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Estimation of Species Richness |
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557 | (4) |
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Estimating Parameters of Community Dynamics |
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561 | (11) |
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572 | (6) |
PART IV DECISION ANALYSIS FOR ANIMAL POPULATIONS |
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Optimal Decision Making in Population Biology |
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Optimization and Population Dynamics |
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578 | (1) |
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579 | (1) |
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Stationary Optimization under Equilibrium Conditions |
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579 | (1) |
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Stationary Optimization under Nonequilibrium Conditions |
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580 | (1) |
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581 | (3) |
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Traditional Approaches to Optimal Decision Analysis |
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The Geometry of Optimization |
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584 | (1) |
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Unconstrained Optimization |
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585 | (8) |
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593 | (4) |
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597 | (4) |
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601 | (5) |
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606 | (2) |
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Modern Approaches to Optimal Decision Analysis |
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608 | (10) |
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Pontryagin's Maximum Principle |
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618 | (9) |
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627 | (11) |
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638 | (1) |
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639 | (5) |
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Uncertainty, Learning, and Decision Analysis |
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Decision Analysis in Natural Resource Conservation |
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644 | (5) |
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General Framework for Decision Analysis |
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649 | (1) |
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Uncertainty and the Control of Dynamic Resources |
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650 | (1) |
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Optimal Control with a Single Model |
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651 | (1) |
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Optimal Control with Multiple Models |
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652 | (1) |
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Adaptive Optimization and Learning |
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653 | (1) |
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Expected Value of Perfect Information |
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654 | (1) |
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655 | (1) |
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Generalizations of Adaptive Optimization |
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656 | (2) |
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Accounting for All Sources of Uncertainty |
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658 | (1) |
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``Passive'' Adaptive Optimization |
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658 | (2) |
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660 | (4) |
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Case Study: Management of the Sport Harvest of North American Waterfowl |
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664 | (3) |
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Components of a Regulatory Process |
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667 | (4) |
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Adaptive Harvest Management |
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671 | (1) |
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Modeling Population Dynamics |
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672 | (4) |
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676 | (1) |
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677 | (2) |
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Identifying Optimal Regulations |
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679 | (1) |
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Some Ongoing Issues in Waterfowl Harvest Management |
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680 | (4) |
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684 | (1) |
Appendix A Conditional Probability and Bayes' Theorem |
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685 | (2) |
Appendix B Matrix Algebra |
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687 | (6) |
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B.2. Matrix Addition and Multiplication |
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B.5. Orthogonal and Orthonormal Matrices |
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B.7. Eigenvectors and Eigenvalues |
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B.8. Linear and Quadratic Forms |
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B.9. Positive-Definite and Semidefinite Matrices |
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B.10. Matrix Differentiation |
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Appendix C Differential Equations |
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693 | (16) |
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C.1. First-Order Linear Homogeneous Equations |
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C.2. Nonlinear Homogeneous Equations-Stability Analysis |
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Appendix D Difference Equations |
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709 | (12) |
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D.1. First-Order Linear Homogeneous Equations |
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D.2. Nonlinear Homogeneous Equations-Stability Analysis |
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Appendix E Some Probability Distributions and Their Properties |
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721 | (12) |
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E.1. Discrete Distributions |
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E.2. Continuous Distributions |
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Appendix F Methods for Estimating Statistical Variation |
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733 | (6) |
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F.1. Distribution-Based Variance Estimation |
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F.2. Empirical Variance Estimation |
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F.3. Estimating Variances and Covariances with the Information Matrix |
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F.4. Approximating Variance with the Delta Method |
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F.5. Jackknife Estimators of Mean and Variance |
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F.6. Bootstrap Estimation |
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Appendix G Computer Software for Population and Community Estimation |
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739 | (6) |
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G.1. Estimation of Abundance and Density for Closed Populations |
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G.2. Estimation of Abundance and Demographic Parameters for Open Populations |
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G.3. Estimation of Community Parameters |
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G.4. Software Availability |
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Appendix H The Mathematics of Optimization |
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745 | (22) |
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H.1. Unconstrained Optimization |
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H.2. Classical Programming |
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H.3. Nonlinear Programming |
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H.5. Calculus of Variations |
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H.6. Pontryagin's Maximum Principle |
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References |
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767 | (26) |
Index |
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793 | |