A model of a multi-site fishery with variable price: From over-exploitation to sustainable fisheries

Mathematical Modelling of Natural Phenomena

Volumn 8, Issue 6, 2013, Pages 130-142

  Morozov, A ^d   Tyutyunov, Yu V ^d   Ly, S ^a   Mansal, F ^a   Balde M ^a   Nguyen Huu, T ^b   Auger, P ^a,c  

^a UNIVERSITÉ CHEIKH ANTA DIOP   (Senegal)

^b INSTITUT DE RECHERCHE POUR LE DÉVELOPPEMENT   (France)

^c ENS Lyon   (France)

^d NONE

Author keywords

Demand function; Dynamical systems; Equilibrium; Multi site fishery; Optimum capture; Stability; Variable price

Indexed keywords

AGGREGATED MODELING; DEMAND FUNCTION; GLOBAL VARIABLES; MULTI-SITE; OPTIMUM CAPTURE; SUPPLY AND DEMAND; SUSTAINABLE FISHERY; VARIABLE PRICE;

AGGREGATES; CONVERGENCE OF NUMERICAL METHODS; COSTS; DYNAMICAL SYSTEMS; ECONOMICS; FISH; FISHING VESSELS; FUNCTIONS; MATHEMATICAL MODELS; PHASE EQUILIBRIA;

FISHERIES;

EID: 84889808828     PISSN: 09735348     EISSN: 17606101     Source Type: Journal    
DOI: 10.1051/mmnp/20138609     Document Type: Article

References (29)

1. P. Auger, R. Mchich, N. Raïssi, B. Kooi. Effects of market price on the dynamics of a spatial fishery model: Over-exploited fishery/traditional fishery. Ecol. Complex., 7 (2009), No. 1, 13-20. doi: 10.1016/j.ecocom.2009.03. 005
2. P. Auger, J.C. Poggiale. Emergence of population growth models: fast migration and slow growth. J. Theor. Biol., 182 (1996), No. 2, 99-108. doi: 10.1006/jtbi.1996.0145. PMID:8944142 (Pubitemid 26377379)
3. P. Auger, R. Bravo de la Parra, J.C. Poggiale, E. Sanchez, T. Nguyen-Huu. Aggregation of variables and applications to population dynamics. In Structured population models in biology and epidemiology. Lecture notes in mathematics. Vol. 1936. Edited by P. Magal and S. Ruan. Mathematical Biosciences Subseries (2008) Springer, Berlin., 209-263.
4. P. Auger, R. Roussarie. Complex ecological models with simple dynamics: from individuals to population. Acta Biotheor., 42 (1994), No. 2-3, 111-136. doi: 10.1007/BF00709485.
5. P. Auger, C. Lett, A. Moussaoui, S. Pioch. Optimal number of sites in artificial pelagic multi-site fisheries. Can. J. Fish. Aquat. Sci., 67 (2010), 296-303. doi: 10.1139/F09-188
6. E.B. Barbier, I. Strand, S. Sathirathai. Do open access conditions affect the valuation of an externality Estimating the welfare effects of mangrove-fishery linkages. Env. Resour. Econ., 21 (2002), 343-367. (Pubitemid 34527430)
7. C.W. Clark. Mathematical Bioeconomics: The Optimal Management of Renewable Resources. 2nd ed. Wiley, New York, 1990.
8. L. Dagorn, K.N. Holland, D.G. Itano. Behavior of yellowfin (Thunnus albacares) and bigeye (T. obesus) tuna in a network of fish aggregating devices (FADs). Mar. Biol. (Berl.), 151 (2) (2007) 595-606. doi: 10.1007/s00227-006- 0511-1. (Pubitemid 46466265)
9. M. Robert, L. Dagorn, J. Lopez, G. Moreno, J.L.A. Deneubourg. Does social behavior influence the dynamics of aggregations formed by tropical tunas around floating objects An experimental approach. J. Exp. Mar. Biol. Ecol., 440 (2013), 238-243.
10. M. de Lara, L. Doyen. Sustainable Management of renewable resources: Mathematical Models and Methods. Springer-Verlag, Berlin Heidelberg, 2008.
11. Food and Agriculture Organization of the United Nations (FAO). Fishing Technology Equipments Fish Aggregating Device (FAD). Fisheries and Aquaculture Department.
12. A. Fonteneau, J. Ariz, D. Gaertner, T. Nordstrom, P. Pallares. Observed changes in the species composition of tuna schools in the Gulf of Guinea between 1981 and 1999, in relation with the fish aggregrating device fishery. Aquat. Living Resour. 13 (2000) 253-257. doi: 10.1016/S0990-7440(00)01054-8.
13. C. Girard, S. Benhamou, L. Dagorn. FAD: fish aggregating device or fish attracting device A new analysis of yellowfin tuna movements around floating objects. Anim. Behav. 67(2) (2004), 319-326. doi: 10.1016/j.anbehav.2003.07.007. (Pubitemid 38272190)
14. Y. Iwasa, V. Andreasen, S.A. Levin. Aggregation in model ecosystems. I. Perfect aggregation. Ecol. Model., 37 (1987), 287-302.
15. Y. Iwasa, S.A. Levin, V. Andreasen. Aggregation in model ecosystems. II. Approximate aggregation. IMA J. Math. Appl. Med. Biol., 6 (1989), 1-23.
16. H. Kakimoto. Artificial fishing reef studies and effects. Japanese Institute of Technology on Fishing Ports, Grounds and Communities (JIFIC), 2, (2004), 150-178.
17. L. Kumoro. Notes on the use of FADs in the Papua New Guinea purse seine fishery. Papua New Guinea National Fisheries Authority, Port Moresby, Papua New Guinea, 2003.
18. J.P. Kritzer, P.F. Sale. Metapopulation ecology in the sea: from Levins' model to marine ecology and fisheries science. Fish Fish. 5 (2004), 131-140. (Pubitemid 38751633)
19. C.H. Lan, C.Y. Hsui. The deployment of artificial reef ecosystem: modelling, simulation and application. Simul. Model. Pract. Theory, 14 (2006), No. 5, 663-675. doi: 10.1016/j.simpat.2005.10.011. (Pubitemid 43833287)
20. J.T. Lafrance. Linear demand functions in theory and practice. J. Econ. Theory, 37 (1985), 147-166.
21. S.A. Levin, S. Pacala. Theories of simplification and scaling of spatially distributed processes, in: D. Tilman, P. Kareiva (Eds.), Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions, Princeton University, 1997.
22. G. Moreno, L. Dagorn, G. Sancho, D. Itano. Fish behaviour from fishers' knowledge: the case study of tropical tuna around drifting fish aggregating devices (DFADs). Can. J. Fish. Aquat. Sci. 64 (11) (2007) 1517-1528. doi: 10.1139/F07-113.
23. I. Ohta, S. Kakuma. Periodic behavior and residence time of yellowfin and bigeye tuna associated with fish aggregating devices around Okinawa Islands, as identified with automated listening stations. Mar. Biol. (Berl.), 146 (3) (2005), 581-594. doi: 10.1007/s00227-004-1456-x. (Pubitemid 40240789)
24. J.N. Sanchirico, J.E. Wilen. Bioeconomics of spatial exploitation in a patchy environment. J. Environ. Econ. Manag. 37 (1999), 129-150. (Pubitemid 29432619)
25. M.B. Schaefer. Some considerations of population dynamics and economics in relation to the management of the commercial marine fisheries. J. Fish. Res. Board Canada 14 (1957), 669-681.
26. V.L. Smith. Economics of production from natural resources. Am. Econ. Rev., 58 (1968), No. 3, 409-431.
27. V.L. Smith. On models of commercial fishing. J. Political Economy, 77 (1969), No. 2, 181-198.
28. L. Walras. Elément d'économie Politique Pure. Corbaz, Lausanne, 1874.
29. Western and Central Pacific Fisheries Commission (WCPFC). Paragraph 24 of CMM 2008-01 FAD management and monitoring. Fifth regular session, Technical and Compliance Committee. WCPFC-TCC5-2009/22 (2009).