Using fast and slow processes to manage resources with thresholds

Environmental and Resource Economics

Volumn 36, Issue 2, 2007, Pages 191-213

  Crépin, Anne Sophie ^a  

^a ROYAL SWEDISH ACADEMY OF SCIENCES   (Sweden)

Author keywords

Management; Multiple steady states; Non convexities; Slow and fast variables

Indexed keywords

ECOSYSTEMS; MANAGEMENT INFORMATION SYSTEMS; REEFS;

MULTIPLE STEADY STATES; NON-CONVEXITIES; SLOW AND FAST VARIABLES;

NATURAL RESOURCES;

CORAL REEF; MANAGEMENT PRACTICE; NATURAL RESOURCE; OVERFISHING; RESOURCE MANAGEMENT; THRESHOLD;

ANTHOZOA;

EID: 33846861728     PISSN: 09246460     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10640-006-9029-8     Document Type: Article

References (49)

1. Arrow K. J., Fisher A. C. (1974) Environmental Preservation Uncertainty, and Irreversibility. Quarterly Journal of Economics 88:312-319
2. Brock W. A., Starrett D. (2003) Managing Systems with Non-convex Positive Feedback. Environmental and Resource Economics 26(4):575-602
3. Carpenter S. R. (2003) Regime Shifts in Lake Ecosystems: Pattern and Variation, Vol 15, Excellence in Ecology Series. Ecology Institute, Oldendorf/Luhe, Germany
4. Carpenter S. R., Brock W. A. (2004) Spatial Complexity, Resilience, and Policy Diversity: Fishing on Lake-rich Landscapes. Ecology and Society 9(1):1-31
5. Carpenter S. R., Turner M. G. (2000a) Special Issue on Interactions of Fast and Slow Variables in Ecosystems. Ecosystems 3(6):495-595. Special issue
6. Carpenter S. R., Turner M. G. (2001) Hares and Tortoises: Interactions of Fast and Slow Variables in Ecosystems. Ecosystems 3(6):495-497
7. Clark, C. W. (1990), Mathematical Bioeconomics - The Optimal Management of Renewable Resources, in: Pure and Applied Mathematics, 2nd edition. Wiley. First published in 1976.
8. Claussen M., Kubatzki C., Brovkin V., Ganopolski A., Hoelzmann P., Pachur H. (1999) Simulation of an Abrupt Change in Saharan Vegetation at the End of Mid-Holocene. Geophysical Research Letters 26(14):2037-2040
9. Crépin, A.-S. (2002), Tackling the Economics of Ecosystems, PhD Thesis, Stockholm University, Department of Economics. Dissertations in Economics 2002, 6.
10. Crépin A.-S. (2003) Multiple Species Boreal Forests - What Faustmann Missed. Environmental and Resource Economics 26(4):625-646
11. Dasgupta, P. and K.-G. Mäler (2003), The Economics of Non-convex Environments. Environmental and Resource Economics 26(4), Special issue.
12. Epstein, L. S. (1980) Decision-making and the Temporal Resolution of Uncertainty. International Economic Review 21(2):269-284
13. Fenichel N. (1979) Geometric Singular Perturbation Theory for Ordinary Differential Equations. Journal of Differential Equations 31:53-98
14. Folke, C., S. Carpenter, T. Elmqvist, L. C. Gunderson, B. Walker, J. Bengtsson, F. Berkes, J. Colding, K. Danell, M. Falkenmark, L. Gordon, R. Kasperson, N. Kautsky, A. Kinzig, S. Levin, K.-G. Mäler, F. Moberg, L. Ohlsson, P. Olsson, E. Ostrom, W. Reid, J. Rockström, H. Savenise and U. Svedin (2002), Resilience and Sustainable Development: Building Adaptive Capacity in a World of Transformation, Edita Nordstedts Tryckeri AB, Stockholm. Scientific Background Paper on Resilience for the Process of The World Summit on Sustainable Development on Behalf of The Environmental Advisory Council to the Swedish Government.
15. Freixas, X. and J.-J. Laffont (1984), 'On the Irreversibility Effect', in M. Boyer and R. Kihlstrom, eds., Bayesian Models in Economic Theory. Elsevier, Dordrecht.
16. Gollier C. (2001) Should we beware of the precautionary principle?. Economic Policy 0(33):301-321
17. Groffman P. M., Baron J. S., Blett T., Gold A. J., Goodman I., Gunderson L. H., Levinson B. M., Palmer M. A., Paerl H. W., Peterson G. D., Poff N. L., Rejeski D. W., Reynolds J. F., Turner M. G., Weathers K. C., Wiens J. (2006) Ecological Thresholds: The Key to Succesful Environmental Management or an Important Concept with No Practical Application? Ecosystems 9(1):1-13
18. Henry C. (1974) Investment Decisions Under Uncertainty: The "Irreversibility Effeet". American Economic Review 64(5):1006-1012
19. Holling C. (1959) The Components of Predation as Revealed by a Study of Small Mammal Predation of the European Pine Sawfly. Canadian Entomologist 91:293-320
20. Holling, C.S. (ed) (1978), Adaptive Environmental Assessment and Management. New York: John Wiley and Sons
21. Immordino G. (2003) Looking for a Guide to Protect the Environment: The Development of the Precautionary Principle. Journal of Economic Surveys 17(5):629-643
22. Jennings S., Polunin N. (1997) Impacts of Predator Depletion by Fishing on the Biomass and Diversity of Non-target Reef Fish Communities. Coral Reefs 16:71-82
23. Knowler D., Barbier E. B. (2005) Managing the Black Sea Anchovy Fishery with Nutrient Enrichment and a Biological Invader. Marine Resource Economics 20(3):263-285
24. Kokotovic P., Sannuti P. (1968) Singular Perturbation Methods for Reducing Model Order in Optimal Control Design. IEEE Transactions on Automatic Control 13(4):377-384
25. Krutilla, J. V., C. J. Cichetti, M. A. I. Freeman and C. S. Russell (1972), 'Observations on the Economics of Irreplaceable Assets', in A. V. Kneese and B. T. Bower, eds., Environmental Quality Analysis, Chapter 3, pp. 69-112. The Johns Hopkins Press. Papers from a Resources for the Future conference.
26. Kuznetsov, Y. A. (1995), 'Elements of Applied Bifurcation Theory', in Applied Mathematical Sciences, Vol. 112. Springer-Verlag.
27. Ludwig D., Carpenter S., Brock W. (2003) Optimal Phosphorus Loading for a Potentially Eutrophic Lake. Ecological Applications 13(4):1135-1152
28. Ludwig D., Jones D. D., Holling C. S. (1978) Qualitative Analysis of Insect Outbreak Systems: The Spruce Budworm and the Forest. Journal of Animal Ecology 47:315-332
29. Mäler K.-G., Xepapadeas A., de Zeeuw A. (2003) The Economics of Shallow Lakes. Environmental and Resource Economics 26(4):603-624
30. Mäler, K.-G. and A. Fisher (2005), 'Environment, Uncertainty and Option Values', Ch. 13 in K.G. Mäler and J. R. Vincent, eds., Handbook of Environmental Economics, Vol. 2. North-Holland
31. Margolis, M. B. and E. Naevdal (2004), Safe Minimum Standards in Dynamic Resource Problems-Conditions for Living on the Edge of Risk, RFF Discussion paper 04-03. Available at www.rff.org/rff/Documents/RFF-DP-04-03.pdf
32. McClanahan T. R., Bergman K., Huitric M., McField M., Elfwing T., Nyström M., Nordemar I. (2000) Response of Fishes to Algae Reduction on Glover Reef, Belize. Marine Ecology Progress Series 206:273-282
33. Milik A., Prskawetz A., Feichtinger G., Sanderson W. C. (1996) Slow-fast Dynamics in Wonderland. Environmental Modeling and Assessment 1(1,2):3-17
34. Naidu D. (2002) Singular Perturbations and Time Scales in Control Theory and Applications: An Overview. Dynamics of Continuous. Discrete and Impulsive Systems 9:233-278
35. Nyström M., Folke C., Moberg F. (2000) Coral Reef Disturbance and Resilience in a Human-dominated Environment. Trends in Ecology and Evolution 15(10):413-417
36. Perrings, C. (1991), 'Reserved Rationality and the Precautionary Principle: Technological Change, Time and Uncertainty in Environemntal Decision Making', in R. Costanza, ed., Ecological Economics - The Science and Management of Sustainability, Chapter 11, pp. 153-167. Columbia University Press.
37. Pontryagin, L., V. Boltyanskii, R. Gamkrelidze and E. Mishchenko (1964), The Mathematical Theory of Optimal Processes. Pergamon Press. Translated by D. E. Brown.
38. Real, L. (1977), 'The Kinetics of Functional Response', American Naturalist, 111, 289-300
39. Rinaldi S., Scheffer M. (2000) Geometric Analysis of Ecological Models with Slow and Fast Processes. Ecosystems 3(6):507-521
40. Roberts C. M. (1995) Effects of Fishing on the Ecosystem Structure of Coral Reefs. Conservation Biology 9(5):988-995
41. Scheffer M., Szabó S., Gragnani A., Van Nes E. H., Rinaldi S., Kautsky N., Norberg J., Roijackers R. M., Franken R. J. (2003) Floating Plant Dominance as a Stable State. Proceedings of the National Academy of Sciences of the United States of America 100(7):4040-4045
42. Segel L. A. (1972) Simplification and Scaling. SIAM Review 14(4):547-571
43. Stewart B., Jones G. (2001) Associations Between the Abundance of Piscivorous Fishes and Their Prey on Coral Reefs: Implications for Prey-fish Mortality. Marine Biology 138:383-397
44. Tikhonov A. (1952) Systems of Differential Equations Containing Small Parameters at Derivatives. Matematicheskii Sbornik 31:575-86. In Russian
45. Turchin P. (2003) Complex Population Dynamics - A Theoretical/Empirical Analysis, Vol. 35, Monographs in Population Biology. Princeton University Press, Princeton/Oxford
46. Ulph A., Ulph D. (1997) Global Warming, Irreversibility and Learning. Economic Journal 107(442):636-649
47. Wagener F. (2003) Skiba Points and Heteroclinic Bifurcation Points, with Applications to the Shallow Lake System. Journal of Economic Dynamics and Control 27(9):1533-1561
48. Walters, C. (1986), Adaptive Management of Renewable Resources. New York: MacMillan
49. Weisbrod B. A. (1964) Collective-consumption Services of Individual-consumption Goods. The Quarterly Journal of Economics 78(3):471-477