Environmental and Resource Economics

, Volume 51, Issue 2, pp 215–239 | Cite as

Fishing in a Shallow Lake: Exploring a Classic Fishery Model in a Habitat with Shallow Lake Dynamics

  • Johannus A. Janmaat


Renewable resources such as fish exist within habitats. Harvesting activities may directly impact the habitat, beyond the influence caused by changing the balance between species. When harvesting activities impact stock size and habitat health in different ways, both states must be explicitly considered. A classic fisheries model is embedded in a habitat that exhibits shallow lake dynamics, where carrying capacity depends on habitat health and fishing effort damages the habitat. Hysteresis in the habitat dynamics can manifest itself as multiple steady states for both the dynamic and open access solutions. Numerical explorations of the model suggest that a new fishery in such a setting should often be managed to protect the health of the habitat, while it may not be optimal to restore a fishery in an already degraded habitat. Conventional policy tools applied in their classic form are unlikely to be effective.


Bioeconomics Dynamic models Fisheries economics Habitat damage Hysteresis 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Anderies JM, Janssen MA, Walker BH (2002) Grazing management, resilience, and the dynamics of a fire-driven rangeland system. Ecosystems 5(1): 23–44CrossRefGoogle Scholar
  2. Armstrong CW (2006) A note on the ecological–economic modelling of marine reserves in fisheries. Ecol Econ 62(2): 242–250CrossRefGoogle Scholar
  3. Atolia M, Buffie EF (2007) Reverse shooting made easy: automating the search for the global nonlinear saddle path, AugustGoogle Scholar
  4. Barbier EB (2000) Valuing the environment as input: review of applications to mangrove-fishery linkages. Ecol Econ 35: 47–61CrossRefGoogle Scholar
  5. Barbier EB (2003) Habitat-fishery linkages and mangrove loss in Thailand. Contempor Econ Policy 21(1): 59–77CrossRefGoogle Scholar
  6. Barbier EB, Strand I (1998) Valuing mangrove-fishery linkages: a case study of Campeche, Mexico. Environ Resour Econ 12: 151–166CrossRefGoogle Scholar
  7. Batabyal AA (2002) Human actions, the survival of keystone species, and the resilience of ecological-economic systems. Resour Policy 28: 153–157CrossRefGoogle Scholar
  8. Bjorndal T, Conrad JM (1987) The dynamics of an open access fishery. Can J Econ 20(1): 74–85CrossRefGoogle Scholar
  9. Botsford LW, Castilla JC, Peterson CH (1997) The management of fisheries and marine ecosystems. Science 277: 509–515CrossRefGoogle Scholar
  10. Brock WA, De Zeeuw A (2002) The repeated lake game. Econ Lett 76: 109–114CrossRefGoogle Scholar
  11. Brock WA, Starrett D (2003) Managing systems with non-convex positive feedback. Environ Resour Econ 26: 575–602CrossRefGoogle Scholar
  12. Carpenter SR, Ludwig WA, Brock D (1999) Management of eutropication for lakes subjects to potentially irreversible change. Ecol Appl 9: 751–771CrossRefGoogle Scholar
  13. Christensen V, Pauly D (1998) Changes in models of aquatic ecosystems approaching carrying capacity. Ecol Appl 1: S104–S109Google Scholar
  14. Clark C (1976) Mathematical bioeconomics. Wiley, New YorkGoogle Scholar
  15. Collie JS, Hall SJ, Kaiser MJ, Poiner IR (2000) A quantitative analysis of fishing impacts on shelf-sea benthos. J Anim Ecol 69: 785–798CrossRefGoogle Scholar
  16. Crépin A-S (2007) Using fast and slow processes to manage resources with thresholds. Environ Resour Econ 36: 191–213CrossRefGoogle Scholar
  17. Eaton JW, Bateman D, Hauberg S (2008) GNU octave manual version 3. Network Theory Limited, BristolGoogle Scholar
  18. Finnoff D, Tschirhart J (2003) Harvesting in an eight-species ecosystem. J Environ Econ Manage 45(3): 589–611CrossRefGoogle Scholar
  19. Folke C, Carpenter S, Walker B, Scheffer M, Elmqvist T, Gunderson L, Holling CS (2004) Regime shifts, resilience, and biodiversity in ecosystem management. Annu Rev Ecol Evol Syst 35: 557–581. doi: 10.1146/annurev.ecolsys.35.021103.105711 CrossRefGoogle Scholar
  20. Guttormsen AG, Kristofersson D, Naevdal E (2008) Optimal management of renewable resources with darwinian selection induced by harvesting. J Environ Econ Manage 56: 167–179CrossRefGoogle Scholar
  21. Hare SR, Mantua NJ (2000) Empirical evidence for North Pacific regime shifts in 1977 and 1989. Progress Oceanogr 47: 103–145CrossRefGoogle Scholar
  22. Holland D, Schnier KE (2006) Individual habitat quotas for fisheries. J Environ Econ Manage 51: 72–92CrossRefGoogle Scholar
  23. Hopfenberg R (2003) Human carrying capacity is determined by food availability. Popul Environ 25(2): 109–117CrossRefGoogle Scholar
  24. Janssen MA, Anderies JM, Walker BH (2004) Robust strategies for managing rangelands with multiple stable attractors. J Environ Econ Manage 47: 140–162CrossRefGoogle Scholar
  25. Knowler D, Barbier EB, Strand I (2002) An open-access model of fisheries and nutrient enrichment in the Black Sea. Mar Resour Econ 16: 195–217Google Scholar
  26. Kramer DB (2008) Adaptive harvesting in a multiple-species coral-reef food web. Ecol Soc 13(1): 17Google Scholar
  27. Lindholm PJ, Auster JB, Ruth M, Kaufman L (2001) Modeling the effects of fishing and implications for the design of marine protected areas: juvenile fish repsonses to variations in seafloor habitat. Conserv Biol 15: 424–437CrossRefGoogle Scholar
  28. Meyer PS, Ausubel JH (1999) Carrying capacity: a model with logistically varying limits. Technol Forecast Social Change 61(3): 209–214CrossRefGoogle Scholar
  29. Mäler KG, Xepadadeas A, De Zeeuw A (2003) The economics of shallow lakes. Environ Resour Econ 26: 603–624CrossRefGoogle Scholar
  30. Muradian R (2001) Ecological thresholds: a survey. Ecol Econ 38: 7–24CrossRefGoogle Scholar
  31. Odum EP (1969) The strategy of ecosystem development. Science 164(3877): 262CrossRefGoogle Scholar
  32. R Development Core Team R (2008) a Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria, 2008. URL: ISBN 3-900051-07-0
  33. Rosser BJ Jr. (2001) Complex ecological–economic dynamics and environmental policy. Ecol Econ 37: 23–37CrossRefGoogle Scholar
  34. Sanchirico JN, Wilen JE (2001) Dynamics of spatial exploitation: a metapopulation approach. Nat Resour Model 14(3): 391–418CrossRefGoogle Scholar
  35. Scheffer M, Brock W, Westely F (2000) Socioeconomic mechanisms preventing optimum use of ecosystem services: an interdisciplinary theoretical analysis. Ecosystems 3: 451–471CrossRefGoogle Scholar
  36. Scheffer M, Carpenter S, Foley JA, Folke C, Walker B (1997) Catastropich shifts in ecosystems. Nature 413: 591–596CrossRefGoogle Scholar
  37. Scheffer M (2004) Ecology of shallow lakes. Kluwer, DordrechtGoogle Scholar
  38. Skiba AK (1978) Optimal growth with a convex-concave production function. Econometrica 46(3): 527–539CrossRefGoogle Scholar
  39. Sterner T (2007) Unobserved diversity, depletion and irreversibility: the importance of subpopulations for management of cod stocks. Ecol Econ 61: 566–574CrossRefGoogle Scholar
  40. Ströbele WJ, Wacker H (1995) The economics of harvesting predator-prey systems. J Econ 61: 65–81CrossRefGoogle Scholar
  41. Sumaila UR, Guénette S, Alder J, Chuenpagdee R (2000) Addressing ecosystem effects of fishing using marine protected areas. ICES J Mar Sci 57: 752–760CrossRefGoogle Scholar
  42. Wacker H (1999) Optimal harvesting of mutualistic ecological systems. Resour Energy Econ 21: 89–102CrossRefGoogle Scholar
  43. Wagener FOO (2003) Skiba points and heteroclinic bifurcations, with applications to the shallow lake system. J Econ Dyn Control 27: 1533–1561CrossRefGoogle Scholar
  44. Willemsen J (1980) Fishery-aspects of eutrophication. Aquat Ecol 14(1): 12–21Google Scholar
  45. Wirl F (2004) Thresholds in concave renewable resource models. Ecol Econ 48: 259–267CrossRefGoogle Scholar
  46. Zeeman, EC (ed) (1977) Catastrophe theory: selected papers, 1972–1977. Addison-Wesley, ReadingGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Economics (unit 6), IK Barber School of Arts and SciencesThe University of British Columbia – Okanagan CampusKelownaCanada

Personalised recommendations