Description

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Mathematical analysis is key to the modeling and management of natural resources. By presenting required mathematical methods, classic dynamic models for non-renewable and renewable resources, and by exploring several contemporary problems, this text provides a foundation for advanced research. Topics include seminal models in fishery, forestry, and non-renewable resource management, as well as an extensive collection of contemporary applications that include the optimal transition from fossil fuels to clean energy, the optimal timing of interventions to save endangered species, pest control, and the optimal management of antibiotic resistance. Deterministic and stochastic models in both discrete and continuous time are covered. The book encourages students to pursue a deeper understanding of the analytics of resource problems and to deploy numerical methods when analytical results prove intractable. The combination of analysis, theory, and applications will launch the next generation of resource economists, while serving as a useful reference for established researchers.

• Provides hands-on experience through a generous supply of mathematical problems; analyses make abstract theories operational
• Progresses through the most rudimentary skills necessary to thoroughly comprehend the mathematical and theoretical aspects in order to transition seamlessly into real-world applications
• Extends resource management to new areas by enriching pre-existing resource economic models

Contents

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1. Overview of fundamental concepts
2. Difference and differential equations
3. Dynamic optimization
4. Resource economics with Mathematica
5. Non-renewable resources
6. Bioeconomic modes of fisheries
7. Optimal stopping rules
8. The control of pests and invasive species
9. Economics of antibiotics efficacy
10. Wildlife, agriculture, and labour
11. Open access and optimal inventory Related Topics

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Applied Mathematics, Earth Sciences