Mathematical Bioeconomics: The Mathematics of Conservation, 3rd Edition

Acknowledgments.

1 A Generic Bioeconomic Model.

1.1 What is Conservation?

1.2 What is a Model?

1.3 A Dynamic Resource-Harvesting Model.

1.4 A Bioeconomic Model.

1.5 A Dynamic Optimization Model.

1.6 A Model of Individual Behavior.

1.7 Individual Vessel Quotas.

1.8 The Veil of Uncertainty.

1.9 Other Resources.

2 Dynamic Optimization.

2.1 Constrained Optimization.

2.2 Optimal Control Theory in One Dimension.

2.3 Nonlinear Control Problems.

2.4 Discrete-time Optimal Control.

2.5 Appendix.

3 Basic Economic Concepts.

3.1 Interest and Discounting.

3.2 Supply and Demand.

3.3 Demand-limited Bionomic Equilibrium.

3.4 Optimal Harvesting Strategies.

3.5 External Costs.

3.6 Competition, Cooperation, and the Theory of Games.

3.7 The Economics of Uncertainty.

4 Investing in Harvesting Capacity.

4.1 Optimal Harvesting Capacity.

4.2 Investment Decisions under Competition.

4.3 Eliminating Excess Capacity.

4.4 Appendix: Optimal Investment.

5 Regulation of Renewable Resource Harvesting.

5.1 The Consequences of Unregulated Resource Harvesting.

5.2 Methods of Regulating Resource Harvesting.

5.3 Shadow Prices, Taxes and Tradeable Quotas.

5.4 Regulation without Taxes or Tradeable Quotas.

6 Growth and Aging.

6.1 Forestry Models.

6.2 Fisheries: The Cohort Model.

6.3 Multicohort Fisheries.

7 Resource Management under Uncertainty.

7.1 Process and Observational Uncertainty.

7.2 Understanding Uncertainty.

7.3 Process Uncertainty.

7.4 An Introduction to Decision Analysis.

7.5 Economic Uncertainties.

7.6 Appendix.

8 Disaggregated Resource Models.

8.1 Source-sink Models.

8.2 Predator-prey Models.

8.3 Mixed-species Harvesting.

9 Synopsis.

Problem Solutions.

References.

Index.