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Modeling the stochastic dynamics of the aggregate stock in collapsed fisheries: The case of the Northern cod stock

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2013-09
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Motivated by the evidence that many collapsed stocks have failed to recover despite the fact that fishing mortality has been reduced, or even when a moratorium is in effect, we develop a methodological approach using splines to analyze the stochastic population dynamics of fish stocks at low stock levels. Considering the aggregate Northern cod stock by way of illustration, we find that the species’ lack of recovery, despite the moratorium which still remains in force, is consistent with the hypothesis of depensatory population dynamics at low population sizes, as opposed to the compensation estimated by the conventional regression methods used in classic bioeconomic models.
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We are grateful to Noel Roy, Peter Shelton, and Carl Walters for their comments. We also appreciate the attention and comments of the seminar participants at the Centre for Fisheries Economics, Norwegian School of Economics (NHH), Bergen (2012), as well as the participants at the 2012 ISEE Conference, 2012 WFC Conference, and 2012 IIFET Conference.
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Anderson, C.N.K., Hsieh, C., Sandin, S.A., Hewitt, R., Hollowed, A., Beddington, J. R., May, M., Sugihara, G., 2008. Why fishing magnifies fluctuations in fish abundance. Nature 452, 835–839. Bishop, C. A., Anderson, J., Dalley, E., Davis, M.B., Murphy, E.F., Rose, G.A., Stansbury, D.E., Taggart, C., Winters, G., 1994. An assessment of the cod stock in NAFO divisions 2J+3KL. NAFO SCR Doc. 94/40. Caddy, J.F., Agnew, D.J., 2004. An overview of recent global experience with recovery plans for depleted marine resources and suggested guidelines for recovery planning. Rev. Fish. Biol. Fisher. 14, 43–112. Clark, C.W., 2006. The Worldwide Crisis in Fisheries: Economic Models and Human Behavior, Cambridge University Press, Cambridge. Denney, N.H., Jennings, S., Reynolds, J.D., 2002. Life-history correlates of maximum population growth rates in marine fishes. P. Roy. Soc. Lond. B. Bio. 269, 2229-2237. DFO, 2010. Proceedings of the Newfoundland and Labrador Regional Atlantic Cod Framework Meeting: Reference Points and Projection Methods for Newfoundland cod stocks, Proceedings Series, 2010/053. DFO, 2011a. Stock Assessment of Northern (2J3KL) cod in 2011, Science Advisory Report 2011/041. DFO, 2011b. Recovery potential assessment for the Newfoundland and Labrador designatable unit (NAFO Divs. 2GHJ, 3KLNO) of Atlantic cod (Gadus morhua), Science Advisory Report 2011/037. DFO, 2012. Stock Assessment update of Northern (2J3KL) cod, Science Response 2012/009. Frank, K.T., Brickman, D., 2000. Alle effects and compensatory population dynamics within a stock complex. Can. J. Fish. Aquat. Sci. 57, 513-517. Grafton, R.Q., Sandal, L.K., Steinshamn, S.I., 2000. How to Improve the Management of Renewable Resources: The Case of Canada's Northern Cod Fishery. Am. J. Agr. Econ. 82(3), 570-580. Grafton, R.Q., Kompas, T., Ha, P.V., 2009. Cod Today and None Tomorrow: The Economic Value of a Marine Reserve. Land Econ. 85(3), 454-469. Hutchings, J.A., 2000. Collapse and recovery of marine fisheries. Nature 406, 882-885. Hutchings, J.A., Reynolds, J.D., 2004. Marine Fish Population Collapses: Consequences for Recovery and Extinction Risk. BioScience 54, 297-309. ICES. 2003. Report of the Study Group on Precautionary Reference Points For Advice on Fishery Management. ICES CM 2003/ACFM:15. Copenhagen, Denmark. Keith, D.M., Hutchings, J.A., 2012. Population dynamics of marine fishes at low abundance. Can. J. Fish. Aquat. Sci. 69, 1150-1163. Krebs, C.J., 2008. The Ecological World View, University of California Press, California. Liermann, M., Hilborn, R., 2001. Depensation: evidence, models and implications. Fish Fish. 2, 33-58. Lin, R., Liu, S., Lai, X., 2013. Bifurcations of a predator-prey system with weak Alle effects. J. Korean Math. Soc. 50, 695-713. Majumdar, M., Roy, S., 2009. Non-convexity, Discounting and Infinite Horizon Optimization. J Nonlinear Convex A. 10, 1-18. McDonald, A.D., Sandal, L.K., Steinshamn, S.I., 2002. Implications of a nested stochastic/deterministic bio-economic model for a pelagic fishery. Ecol. Model. 149, 193-201. Myers, R.A., Hutchings, J.A., Barrowman, N.J., 1997. Why do Fish Stocks Collapse? The Example of Cod in Atlantic Canada. Ecol. Appl. 7, 91-106. Myers, R.A., Worm, B., 2005. Extinction, survival or recovery of large predatory fishes. Philos. T. Roy. Soc. B 360, 13-20. Murawski, S.A., 2010. Rebuilding depleted fish stocks: the good, the bad, and, mostly, the ugly. ICES J. Mar. Sci. 67, 1830–1840. Nash, R.D.M., Dickey-Collas, M., Kell, L.T., 2009. Stock and recruitment in North Sea herring (Clupea harengus); compensation and depensation in the population dynamics. Fish. Res. 95, 88-97. Nøstbakken, L., Bjørndal, T., 2003. Supply Functions for North Sea Herring. Mar Resour Econ 18, 345-61. Olsen, E.M., Heino, M., Lilly, G.R., Morgan, M.J., Brattey, J., Ernande, B., Dieckmann, U., 2004. Maturation trends indicative of rapid evolution preceded the collapse of Northern cod. Nature 428, 932-935. Reed, W.J., 1979. Optimal Escapement Levels in Stochastic and Deterministic Harvesting Models. J. Environ. Econ. Manag. 6, 350-363. Rivard, D., 1994. Groundfish Assessment Data Sheets-1994. DFO Research Document 94/70. Ruppert, R., Wand, M., Carroll, R., 2003. Semiparametric Regression, Cambridge University Press, Cambridge. Safina, C., Rosenberg, A.A., Myers, R.A., Quinn II, T.J., Collie, J.S., 2005. U.S. Ocean Fish Recovery: Staying the Course. Science 309, 707-708. Shelton, P.A., Healey, B.P., 1999. Should depensation be dismissed as a possible explanation for the lack of recovery of the northern cod (Gadus morhua) stock? Can. J. Fish. Aquat. Sci. 56, 1521-1524. Shelton, P.A., Lilly, G.R., 2000. Interpreting the collapse of the northern cod stock from survey and catch data. Can. J. Fish. Aquat. Sci. 57, 2230-2239. Shelton, P.A., 2007. Science and sustainable fisheries management in DFO. Presented at the Public Science In Canada Symposium, 6-8 September 2007, Gatineau Quebec. Sterner, T., 2007. Unobserved diversity, depletion and irreversibility. The importance of subpopulations for management of cod stocks. Ecol. Econ. 61, 566-574. Ussif, A.A., Sumaila, U.R., Bjorndal, T., 2004. Towards Monitoring the Word’s Fisheries Resources Using Viability Indices. Working Paper No. 23/04, Institute for Research in Economics and Business Administration, Bergen. Walters, C., Maguire, J.J., 1996. Lessons for stock assessment from the northern cod collapse. Rev. Fish. Biol. Fisher. 6, 125–137. Walters, C., Kitchell, J.F., 2001. Cultivation/depensation effects on juvenile survival and recruitment: implications for the theory of fishing. Can. J. Fish. Aquat. Sci. 58, 39-50.