Sustainable Management of Natural Resources: Mathematical Models and Methods (Repost)

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"Sustainable Management of Natural Resources: Mathematical Models and Methods" by ed. Michel De Lara, Luc Doyen
Environmental Science and Engineering: Environmental Science
Sрringеr | 2008 | ISBN: 3540790747 354079073X 9783540790730 9783540790747 | 271 pages | PDF/djvu | 6/3 MB

This book demonstrates and develops the quantitative and formal links between sustainability issues, decision and precaution problems in the management of natural resources. Applied concerns include fisheries, agriculture, biodiversity, exhaustible resources and pollution.

The book aims at combining economic and ecological dimensions through an integrated modelling framework. Mathematical or numerical models and methods presented here rely on control theory of dynamical systems. They encompass equilibrium and stability, viability and invariance, intertemporal optimality ranging from discounted utilitarian to Rawlsian criteria. Deterministic, stochastic and robust frameworks are examined. In order to simplify the mathematical content, the proposed models and methods are restricted to the case of discrete time dynamics.Numerous examples are proposed together with computer programs.

The concept of “sustainable development” covers such concerns, although no universal consensus exists about this notion. Sustainable development emphasizes the need to organize and control the dynamics and the complex interactions between man, production activities, and natural resources in order to promote their coexistence and their common evolution. It points out the importance of studying the interfaces between society and nature, and especially the coupling between economics and ecology. It induces interdisciplinary scientific research for the assessment, the conservation and the management of natural resources.
This monograph exhibits and develops quantitative and formal links between issues in sustainable development, decisions and precautionary problems in the management of natural resources.

1 Introduction
2 Sequential decision models
2.1 Exploitation of an exhaustible resource
2.2 Assessment and management of a renewable resource
2.3 Mitigation policies for carbon dioxyde emissions
2.4 A trophic web and sustainable use values
2.5 A forestry management model
2.6 A single species age-classified model of fishing
2.7 Economic growth with an exhaustible natural resource
2.8 An exploited metapopulation and protected area
2.9 State space mathematical formulation
2.10 Open versus closed loop decisions
2.11 Decision tree and the “curse of the dimensionality”
3 Equilibrium and stability
3.1 Equilibrium states and decisions
3.2 Some examples of equilibria
3.3 Maximum sustainable yield, private property, common
property, open access equilibria
3.4 Stability of a stationary open loop equilibrium state
3.5 What about stability for MSE, PPE and CPE?
3.6 Open access, instability and extinction
3.7 Competition for a resource: coexistence vs exclusion
4 Viable sequential decisions
4.1 The viability problem
4.2 Resource management examples under viability constraints
4.3 The viability kernel
4.4 Viability in the autonomous case
4.5 Viable control of an invasive species
4.6 Viable greenhouse gas mitigation
4.7 A bioeconomic precautionary threshold
4.8 The precautionary approach in fisheries management
4.9 Viable forestry management
4.10 Invariance or strong viability
5 Optimal sequential decisions
5.1 Problem formulation
5.2 Dynamic programming for the additive payoff case
5.3 Intergenerational equity for a renewable resource
5.4 Optimal depletion of an exhaustible resource
5.5 Over-exploitation, extinction and inequity
5.6 A cost-effective approach to CO2 mitigation
5.7 Discount factor and extraction path of an open pit mine
5.8 Pontryaguin’s maximum principle for the additive case
5.9 Hotelling rule
5.10 Optimal management of a renewable resource
5.11 The Green Golden rule approach
5.12 Where conservation is optimal
5.13 Chichilnisky approach for exhaustible resources
5.14 The “maximin” approach
5.15 Maximin for an exhaustible resource
6 Sequential decisions under uncertainty
6.1 Uncertain dynamic control system
6.2 Decisions, solution map and feedback strategies
6.3 Probabilistic assumptions and expected value
6.4 Decision criteria under uncertainty
6.5 Management of multi-species harvests
6.6 Robust agricultural land-use and diversification
6.7 Mitigation policies for uncertain carbon dioxyde emissions
6.8 Economic growth with an exhaustible natural resource
7 Robust and stochastic viability
7.1 The uncertain viability problem
7.2 The robust viability problem
7.3 Robust agricultural land-use and diversification
7.4 Sustainable management of marine ecosystems through
protected areas: a coral reef case study
7.5 The stochastic viability problem
7.6 From PVA to CVA
8 Robust and stochastic optimization
8.1 Dynamics, constraints, feedbacks and criteria
8.2 The robust optimality problem
8.3 The robust additive payoff case
8.4 Robust harvest of a renewable resource over two periods
8.5 The robust “maximin” approach
8.6 The stochastic optimality problem
8.7 Stochastic management of a renewable resource
8.8 Optimal expected land-use and specialization
8.9 Cost-effectiveness of grazing and bird community
management in farmland
9 Sequential decision under imperfect information
9.1 Intertemporal decision problem with imperfect observation
9.2 Value of information
9.3 Precautionary catches
9.4 Information effect in climate change mitigation
9.5 Monotone variation of the value of information and
precautionary effect
9.6 Precautionary effect in climate change mitigation
A Appendix. Mathematical Proofs
A.1 Mathematical proofs of Chap. 3
A.2 Mathematical proofs of Chap. 4
A.3 Mathematical proofs of Chap. 5
A.4 Robust and stochastic dynamic programming equations
A.5 Mathematical proofs of Chap. 7
A.6 Mathematical proofs of Chap. 8
A.7 Mathematical proofs of Chap. 9
with TOC BookMarkLinks

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