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Marine reserves with ecological uncertainty

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Abstract

To help manage the fluctuations inherent in fish populations scientists have argued for both an ecosystem approach to management and the greater use of marine reserves. Support for reserves includes empirical evidence that they can raise the spawning biomass and mean size of exploited populations, increase the abundance of species and, relative to reference sites, raise population density, biomass, fish size and diversity. By contrast, fishers often oppose the establishment and expansion of marine reserves and claim that reserves provide few, if any, economic payoffs. Using a stochastic optimal control model with two forms of ecological uncertainty we demonstrate that reserves create a resilience effect that allows for the population to recover faster, and can also raise the harvest immediately following a negative shock. The tradeoff of a larger reserve is a reduced harvest in the absence of a negative shock such that a reserve will never encompass the entire population if the goal is to maximize the economic returns from harvesting, and fishing is profitable. Under a wide range of parameter values with ecological uncertainty, and in the ‘worst case’ scenario for a reserve, we show that a marine reserve can increase the economic payoff to fishers even when the harvested population is not initially overexploited, harvesting is economically optimal and the population is persistent. Moreover, we show that the benefits of a reserve cannot be achieved by existing effort or output controls. Our results demonstrate that, in many cases, there is no tradeoff between the economic payoff of fishers and ecological benefits when a reserve is established at equal to, or less than, its optimum size.

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References

  • Anderson, L.W., 2002. A bioeconomic analysis of marine reserves. Nat. Res. Mod. 15(3), 311–334.

    MATH  Google Scholar 

  • Armsworth, P.R., Roughgarden, J.E., 2003. The economic value of ecological stability. Proc. Natl. Acad. Sci. USA 100, 7147–7151.

    Article  Google Scholar 

  • Atakan, A.E., 2003. Stochastic convexity in dynamic programming. Econom. Theory 22, 447–455.

    Article  MATH  MathSciNet  Google Scholar 

  • Blasius, B., Huppert, A., Stone, L., 1999. Complex dynamics and phase synchronization in spatially extended ecological systems. Nature 399, 354–359.

    Article  Google Scholar 

  • Blume, L., Easley, D., O’Hara, M., 1982. Characterization of optimal plans for stochastic dynamic programs. J. Econom. Theory 28, 221–234.

    Article  MathSciNet  Google Scholar 

  • Botsford, L.W., Micheli, F., Hastings, A., 2003. Principles for the design of marine reserves. Ecol. Appl. 13(Suppl. 1), S25–S31.

    Google Scholar 

  • Caddy, J.F., Gulland, J.A., 1983. Historical patterns of fish stocks. Mar. Pol. 7(4), 267–278.

    Article  Google Scholar 

  • Conrad, J.M., 1999. The bioeconomics of marine sanctuaries. J. Bioecon. 1, 205–217.

    Article  Google Scholar 

  • De Martini, E.E., 1993. Modeling the potential for fishery reserves for managing Pacific coral reef fishes. Fish. Bull. 91(3), 414–427.

    MathSciNet  Google Scholar 

  • Gell, F.R., Roberts, C.M., 2002. The Fishery Effects of Marine Reserves and Fishery Closures, World Wildlife Fund, http://www.worldwildlife.org/oceans/fishery_effects.pdf.

  • Guénette, S., Pitcher, T.J., 1999. An age-structured model showing the benefits of marine reserves in controlling overexploitation. Fish. Res. 39, 295–303.

    Article  Google Scholar 

  • Halpern, B.S., 2003. The impact of marine reserves: do reserves work and does reserve size matter? Ecol. Appl. 13(Suppl. 1), S117–S137.

    Google Scholar 

  • Hannesson, R., 1998. Marine reserves; what would they accomplish? Mar. Res. Econ. 13(3), 159–170.

    Google Scholar 

  • Hannesson, R., 2002. The economics of marine reserves. Nat. Res. Mod. 15, 273–290.

    MATH  Google Scholar 

  • Hastings, A., Botsford, L.W., 1999. Equivalence in yields from marine reserves and traditional fisheries management. Science 284, 1537–1538.

    Article  Google Scholar 

  • Hofmann, E.E., Powell, T.M., 1998. Environmental variability effects on marine fisheries: four case studies. Ecol. Appl. 8(Suppl. 1), S23–S32.

    Google Scholar 

  • Holland, D.S., 2002. Integrated marine protected areas. Nat. Res. Mod. 15(3), 369–386.

    MATH  Google Scholar 

  • Holland, D.S., Brazee, R.J., 1996. Marine reserves for fisheries management. Mar. Res. Econ. 11, 157–171.

    Google Scholar 

  • Judd, K.L., 1999. Numerical Methods in Economics. MIT Press, Cambridge, MA.

    Google Scholar 

  • Kramer, D.L., Chapman, M.R., 1999. Implications of fish home range size and relocation for marine reserve function. Environ. Biol. Fish. 55, 65–79.

    Article  Google Scholar 

  • Lauck, T., Clark, C.W., Mangel, M., Munro, G.R., 1998. Implementing the precautionary principle in fisheries management through marine reserves. Ecol. Appl. 8(Suppl. 1), S72–S78.

    Google Scholar 

  • Ludwig, D., Hilborn, R., Walters, C., 1993. Uncertainty, resource exploitation and conservation: lessons from history. Science 260, 7, 36.

    Google Scholar 

  • National Research Council, 2001. Marine Protected Areas, Tools for Sustaining Oceans. National Academy Press, Washington, DC.

    Google Scholar 

  • Pauly, D., Christensen, V., Guénette, S., Pitcher, T.J., Sumaila, U.R., Walters, C.J., Watson, R., Zeller, D., 2002. Towards sustainability in world fisheries. Nature 418, 689–695.

    Article  Google Scholar 

  • Pezzey, J.C.V., Roberts, C.M., Urdal, B.T., 2000. A simple bioeconomic model of a marine reserve. Ecol. Econ. 33, 77–91.

    Article  Google Scholar 

  • Pimm, S.L., 1984. The complexity and stability of ecosystems. Nature 307, 321–325.

    Article  Google Scholar 

  • Pulliam, H.R., 1988. Source, sinks, and population regulation. Am. Nat. 132(5), 652–661.

    Article  Google Scholar 

  • Roberts, C.M., Bohnsack, J.A.M., Gell, F., Hawkins, J.P., Goodridge, R., 2001. Effects of marine reserves on adjacent fisheries. Science 294, 1920–1923.

    Article  Google Scholar 

  • Roberts, C.M., Branch, G., Bustamante, G.H., Castilla, J.C., Dugan, J., Halpern, B.S., Lafferty, K.D., Leslie, H., Lubchenco, J., McArdle, D., Ruckelhaus, M., Warner, R.R., 2003. Application of ecological criteria in selecting marine reserves and developing reserve networks. Ecol. Appl. 13(Suppl. 1), S215–S228.

    Google Scholar 

  • Roughgarden, J., Iwasa, Y., 1986. Dynamics of a metapopulation with space-limited subpopulations. Theor. Popul. Biol. 29, 235–261.

    Article  MathSciNet  Google Scholar 

  • Scheffer, M., Carpenter, S., Foley, J.A., Folke, C., Walker, B., 2001. Catastrophic shifts in ecosystems. Nature 413, 591–596.

    Article  Google Scholar 

  • Shaffer, M., 1981. Minimum population sizes for species conservation. Bioscience 31, 131–134.

    Article  Google Scholar 

  • Sladek Nowlis, J.S., Roberts, C.M., 1998. Fisheries benefits and optimal design of marine reserves. Fish. Bull. 97, 604–616.

    Google Scholar 

  • Sumaila, U.R., 1998. Protected marine reserves as fisheries management tools: a bioeconomic analysis. Fish. Res. 37, 287–296.

    Article  Google Scholar 

  • Suman, D., Shivlani, M., Milon, J.W., 1999. Perceptions and attitudes regarding marine reserves: a comparison of stakeholder groups in the Florida Keys National Marine Sanctuary. Ocean Coastal Management 42, 1019–1040.

    Article  Google Scholar 

  • Tuck, G.N., Possingham, H.P., 1994. Optimal harvesting strategies for a metapopulation. Bull. Math. Biol. 56(1), 107–127.

    Article  Google Scholar 

  • Tuck, G.N., Possingham, H.P., 2000. Marine protected areas for spatially structured exploited stocks. Mar. Ecol. Prog. Ser. 192, 89–101.

    Google Scholar 

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Correspondence to R. Quentin Grafton.

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Grafton, R.Q., Kompas, T. & Lindenmayer, D. Marine reserves with ecological uncertainty. Bull. Math. Biol. 67, 957–971 (2005). https://doi.org/10.1016/j.bulm.2004.11.006

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  • DOI: https://doi.org/10.1016/j.bulm.2004.11.006

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