Sustainable management of natural resources: mathematical models and methods
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
2008
|
| Schriftenreihe: | Environmental sciences and engineering : Environmental science
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XI, 266 S. graph. Darst. 24 cm |
| ISBN: | 9783540790730 |
Internformat
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| 100 | 1 | |a Lara, Michel de |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Sustainable management of natural resources |b mathematical models and methods |c Michel de Lara ; Luc Doyen |
| 264 | 1 | |a Berlin ; Heidelberg |b Springer |c 2008 | |
| 300 | |a XI, 266 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 0 | |a Environmental sciences and engineering : Environmental science | |
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| 650 | 4 | |a Environmental management |x Mathematical models | |
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Datensatz im Suchindex
| _version_ | 1804138324090159104 |
|---|---|
| adam_text | Contents
1 Introduction............................................... 1
References..................................................... 11
2 Sequential decision models................................. 15
2.1 Exploitation of an exhaustible resource..................... 16
2.2 Assessment and management of a renewable resource ........ 17
2.3 Mitigation policies for carbon dioxyde emissions............. 24
2.4 A trophic web and sustainable use values................... 27
2.5 A forestry management model ............................ 29
2.6 A single species age-classified model of fishing............... 31
2.7 Economic growth with an exhaustible natural resource....... 35
2.8 An exploited metapopulation and protected area............ 37
2.9 State space mathematical formulation...................... 38
2.10 Open versus closed loop decisions.......................... 44
2.11 Decision tree and the curse of the dimensionality .......... 46
References..................................................... 47
3 Equilibrium and stability.................................. 51
3.1 Equilibrium states and decisions........................... 52
3.2 Some examples of equilibria............................... 52
3.3 Maximum sustainable yield, private property, common
property, open access equilibria............................ 55
3.4 Stability of a stationary open loop equilibrium state......... 60
3.5 What about stability for MSE, PPE and CPE?.............. 63
3.6 Open access, instability and extinction..................... 66
3.7 Competition for a resource: coexistence vs exclusion......... 68
References..................................................... 71
X Contents
4 Viable sequential decisions................................. 73
4.1 The viability problem.................................... 75
4.2 Resource management examples under viability constraints ... 76
4.3 The viability kernel...................................... 80
4.4 Viability in the autonomous case.......................... 83
4.5 Viable control of an invasive species........................ 86
4.6 Viable greenhouse gas mitigation.......................... 89
4.7 A bioeconomic precautionary threshold..................... 90
4.8 The precautionary approach in fisheries management......... 95
4.9 Viable forestry management .............................. 98
4.10 Invariance or strong viability.............................. 100
References.....................................................105
5 Optimal sequential decisions...............................107
5.1 Problem formulation.....................................108
5.2 Dynamic programming for the additive payoff case...........112
5.3 Intergenerational equity for a renewable resource............115
5.4 Optimal depletion of an exhaustible resource................117
5.5 Over-exploitation, extinction and inequity..................119
5.6 A cost-effective approach to CO2 mitigation................122
5.7 Discount factor and extraction path of an open pit mine......125
5.8 Pontryaguin s maximum principle for the additive case.......131
5.9 Hotelling rule...........................................134
5.10 Optimal management of a renewable resource...............136
5.11 The Green Golden rule approach..........................139
5.12 Where conservation is optimal ............................140
5.13 Chichilnisky approach for exhaustible resources .............141
5.14 The maximin approach.................................144
5.15 Maximin for an exhaustible resource.......................148
References.....................................................151
6 Sequential decisions under uncertainty.....................153
6.1 Uncertain dynamic control system.........................154
6.2 Decisions, solution map and feedback strategies.............157
6.3 Probabilistic assumptions and expected value...............158
6.4 Decision criteria under uncertainty ........................160
6.5 Management of multi-species harvests......................161
6.6 Robust agricultural land-use and diversification.............162
6.7 Mitigation policies for uncertain carbon dioxyde emissions .... 163
6.8 Economic growth with an exhaustible natural resource.......166
References.....................................................169
Contents XI
7 Robust and stochastic viability............................171
7.1 The uncertain viability problem...........................172
7.2 The robust viability problem..............................172
7.3 Robust agricultural land-use and diversification.............175
7.4 Sustainable management of marine ecosystems through
protected areas: a coral reef case study.....................178
7.5 The stochastic viability problem...........................183
7.6 Prom PVA to CVA......................................185
References.....................................................191
8 Robust and stochastic optimization........................193
8.1 Dynamics, constraints, feedbacks and criteria...............194
8.2 The robust optimality problem............................195
8.3 The robust additive payoff case............................196
8.4 Robust harvest of a renewable resource over two periods......199
8.5 The robust maximin approach..........................200
8.6 The stochastic optimality problem.........................201
8.7 Stochastic management of a renewable resource .............205
8.8 Optimal expected land-use and specialization...............210
8.9 Cost-effectiveness of grazing and bird community
management in farmland.................................212
References.....................................................219
9 Sequential decision under imperfect information...........221
9.1 Intertemporal decision problem with imperfect observation.... 221
9.2 Value of information.....................................225
9.3 Precautionary catches....................................225
9.4 Information effect in climate change mitigation..............229
9.5 Monotone variation of the value of information and
precautionary effect......................................231
9.6 Precautionary effect in climate change mitigation............233
References.....................................................235
A Appendix. Mathematical Proofs...........................237
A.I Mathematical proofs of Chap. 3...........................237
A.2 Mathematical proofs of Chap. 4...........................239
A.3 Mathematical proofs of Chap. 5...........................244
A.4 Robust and stochastic dynamic programming equations......248
A.5 Mathematical proofs of Chap. 7...........................252
A.6 Mathematical proofs of Chap. 8 ..........................253
A.7 Mathematical proofs of Chap. 9...........................254
References.....................................................259
Index..........................................................261
|
| adam_txt |
Contents
1 Introduction. 1
References. 11
2 Sequential decision models. 15
2.1 Exploitation of an exhaustible resource. 16
2.2 Assessment and management of a renewable resource . 17
2.3 Mitigation policies for carbon dioxyde emissions. 24
2.4 A trophic web and sustainable use values. 27
2.5 A forestry management model . 29
2.6 A single species age-classified model of fishing. 31
2.7 Economic growth with an exhaustible natural resource. 35
2.8 An exploited metapopulation and protected area. 37
2.9 State space mathematical formulation. 38
2.10 Open versus closed loop decisions. 44
2.11 Decision tree and the "curse of the dimensionality" . 46
References. 47
3 Equilibrium and stability. 51
3.1 Equilibrium states and decisions. 52
3.2 Some examples of equilibria. 52
3.3 Maximum sustainable yield, private property, common
property, open access equilibria. 55
3.4 Stability of a stationary open loop equilibrium state. 60
3.5 What about stability for MSE, PPE and CPE?. 63
3.6 Open access, instability and extinction. 66
3.7 Competition for a resource: coexistence vs exclusion. 68
References. 71
X Contents
4 Viable sequential decisions. 73
4.1 The viability problem. 75
4.2 Resource management examples under viability constraints . 76
4.3 The viability kernel. 80
4.4 Viability in the autonomous case. 83
4.5 Viable control of an invasive species. 86
4.6 Viable greenhouse gas mitigation. 89
4.7 A bioeconomic precautionary threshold. 90
4.8 The precautionary approach in fisheries management. 95
4.9 Viable forestry management . 98
4.10 Invariance or strong viability. 100
References.105
5 Optimal sequential decisions.107
5.1 Problem formulation.108
5.2 Dynamic programming for the additive payoff case.112
5.3 Intergenerational equity for a renewable resource.115
5.4 Optimal depletion of an exhaustible resource.117
5.5 Over-exploitation, extinction and inequity.119
5.6 A cost-effective approach to CO2 mitigation.122
5.7 Discount factor and extraction path of an open pit mine.125
5.8 Pontryaguin's maximum principle for the additive case.131
5.9 Hotelling rule.134
5.10 Optimal management of a renewable resource.136
5.11 The Green Golden rule approach.139
5.12 Where conservation is optimal .140
5.13 Chichilnisky approach for exhaustible resources .141
5.14 The "maximin" approach.144
5.15 Maximin for an exhaustible resource.148
References.151
6 Sequential decisions under uncertainty.153
6.1 Uncertain dynamic control system.154
6.2 Decisions, solution map and feedback strategies.157
6.3 Probabilistic assumptions and expected value.158
6.4 Decision criteria under uncertainty .160
6.5 Management of multi-species harvests.161
6.6 Robust agricultural land-use and diversification.162
6.7 Mitigation policies for uncertain carbon dioxyde emissions . 163
6.8 Economic growth with an exhaustible natural resource.166
References.169
Contents XI
7 Robust and stochastic viability.171
7.1 The uncertain viability problem.172
7.2 The robust viability problem.172
7.3 Robust agricultural land-use and diversification.175
7.4 Sustainable management of marine ecosystems through
protected areas: a coral reef case study.178
7.5 The stochastic viability problem.183
7.6 Prom PVA to CVA.185
References.191
8 Robust and stochastic optimization.193
8.1 Dynamics, constraints, feedbacks and criteria.194
8.2 The robust optimality problem.195
8.3 The robust additive payoff case.196
8.4 Robust harvest of a renewable resource over two periods.199
8.5 The robust "maximin" approach.200
8.6 The stochastic optimality problem.201
8.7 Stochastic management of a renewable resource .205
8.8 Optimal expected land-use and specialization.210
8.9 Cost-effectiveness of grazing and bird community
management in farmland.212
References.219
9 Sequential decision under imperfect information.221
9.1 Intertemporal decision problem with imperfect observation. 221
9.2 Value of information.225
9.3 Precautionary catches.225
9.4 Information effect in climate change mitigation.229
9.5 Monotone variation of the value of information and
precautionary effect.231
9.6 Precautionary effect in climate change mitigation.233
References.235
A Appendix. Mathematical Proofs.237
A.I Mathematical proofs of Chap. 3.237
A.2 Mathematical proofs of Chap. 4.239
A.3 Mathematical proofs of Chap. 5.244
A.4 Robust and stochastic dynamic programming equations.248
A.5 Mathematical proofs of Chap. 7.252
A.6 Mathematical proofs of Chap. 8 .253
A.7 Mathematical proofs of Chap. 9.254
References.259
Index.261 |
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| language | English |
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| physical | XI, 266 S. graph. Darst. 24 cm |
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| spelling | Lara, Michel de Verfasser aut Sustainable management of natural resources mathematical models and methods Michel de Lara ; Luc Doyen Berlin ; Heidelberg Springer 2008 XI, 266 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Environmental sciences and engineering : Environmental science Literaturangaben Mathematisches Modell Environmental management Mathematical models Natürliche Ressourcen (DE-588)4075236-7 gnd rswk-swf Nachhaltigkeit (DE-588)4326464-5 gnd rswk-swf Natürliche Ressourcen (DE-588)4075236-7 s Nachhaltigkeit (DE-588)4326464-5 s DE-604 Doyen, Luc Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016968032&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lara, Michel de Doyen, Luc Sustainable management of natural resources mathematical models and methods Mathematisches Modell Environmental management Mathematical models Natürliche Ressourcen (DE-588)4075236-7 gnd Nachhaltigkeit (DE-588)4326464-5 gnd |
| subject_GND | (DE-588)4075236-7 (DE-588)4326464-5 |
| title | Sustainable management of natural resources mathematical models and methods |
| title_auth | Sustainable management of natural resources mathematical models and methods |
| title_exact_search | Sustainable management of natural resources mathematical models and methods |
| title_exact_search_txtP | Sustainable management of natural resources mathematical models and methods |
| title_full | Sustainable management of natural resources mathematical models and methods Michel de Lara ; Luc Doyen |
| title_fullStr | Sustainable management of natural resources mathematical models and methods Michel de Lara ; Luc Doyen |
| title_full_unstemmed | Sustainable management of natural resources mathematical models and methods Michel de Lara ; Luc Doyen |
| title_short | Sustainable management of natural resources |
| title_sort | sustainable management of natural resources mathematical models and methods |
| title_sub | mathematical models and methods |
| topic | Mathematisches Modell Environmental management Mathematical models Natürliche Ressourcen (DE-588)4075236-7 gnd Nachhaltigkeit (DE-588)4326464-5 gnd |
| topic_facet | Mathematisches Modell Environmental management Mathematical models Natürliche Ressourcen Nachhaltigkeit |
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