Introduction p. 1
Elementary Dynamics of Exploited Populations p. 9
The Logistic Growth Model p. 10
Generalized Logistic Models: Depensation p. 16
Summary and Critique p. 21
Economic Models of Renewable-Resource Harvesting p. 24
The Open-Access Fishery p. 24
Economic Overfishing p. 28
Biological Overfishing p. 32
Optimal Fishery Management p. 35
The Optimal Harvest Policy p. 39
Examples Based on the Schaefer Model p. 45
Linear Variational Problems p. 50
The Possibility of Extinction p. 59
Summary and Critique p. 62
Capital-Theoretic Aspects of Resource Management p. 68
Interest and Discount Rates p. 68
Capital Theory and Renewable Resources p. 72
Nonautonomous Models p. 74
Applications to Policy Problems: Labor Mobility in the Fishery p. 76
Optimal Control Theory p. 88
One-Dimensional Control Problems p. 89
A Nonlinear Fishery Model p. 97
Economic Interpretation of the Maximum Principle p. 102
Multidimensional Optimal Control Problems p. 107
Optimal Investment in Renewable-Resource Harvesting p. 110
Supply and Demand: Nonlinear Models p. 122
The Elementary Theory of Supply and Demand p. 122
Supply and Demand in Fisheries p. 131
Nonlinear Cost Effects: Pulse Fishing p. 144
Game-Theoretic Models p. 152
Transboundary Fishery Resources: A Further Application of the Theory p. 158
Summary and Critique p. 164
Dynamical Systems p. 168
Basic Theory p. 168
Dynamical Systems in the Plane: Linear Theory p. 172
Isoclines p. 179
Nonlinear Plane-Autonomous Systems p. 181
Limit Cycles p. 187
Gause's Model of Interspecific Competition p. 192
Discrete-Time and Metered Models p. 197
A General Metered Stock-Recruitment Model p. 198
The Beverton-Holt Stock-Recruitment Model p. 204
Depensation Models p. 211
Overcompensation p. 215
A Simple Cohort Model p. 217
The Production Function of a Fishery p. 221
Optimal Harvest Policies p. 228
The Discrete Maximum Principle p. 234
Dynamic Programming p. 240
The Theory of Resource Regulation p. 245
A Behavioral Model p. 246
Optimization Analysis p. 250
Limited Entry p. 254
Taxes and Allocated Transferable Quotas p. 255
Total Catch Quotas p. 260
Summary and Critique p. 264
Growth and Aging p. 267
Forestry Management: The Faustmann Model p. 268
The Beverton-Holt Fisheries Model p. 275
Dynamic Optimization in the Beverton-Holt Model p. 282
The Case of Bounded F p. 287
Multiple Cohorts: Nonselective Gear p. 291
Pulse Fishing p. 298
Multiple Cohorts: Selective Gear p. 301
Regulation p. 303
Summary and Critique p. 306
Multispecies Models p. 310
Differential Productivity p. 311
Harvesting Competing Populations p. 319
Selective Harvesting p. 324
A Diffusion Model: The Inshore-Offshore Fishery p. 331
Summary and Critique p. 340
Stochastic Resource Models p. 343
Stochastic Dynamic Programming p. 344
A Stochastic Forest Rotation Model p. 349
Uncertainty and Learning p. 352
Searching for Fish p. 353
Summary and Critique p. 363
Supplementary Reading p. 365