XEPAPADEAS, Anastasios (2009): Modeling Complex Systems.
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Abstract Empirical observations suggest that linear dynamics are not an adequate representa- tion of ecological systems and that a realistic representation would require adoption of complex nonlinear dynamical systems with characteristics encountered in complex adaptive systems (CAS). Adequate modelling should include and combine, among others, strategic interactions among economic agents, nonconvexities induced by non-linear feedbacks, separate spatial and temporal scales and modeling of spatiotempo-ral dynamics, and allowance of alternative time scales. Ignoring these characteristics might obscure very important features that we observe in reality such as bifurcations and irreversibilities or hysteresis. As a consequence, the design of policies that do not take CAS characteristics into account might lead to erroneous results and undesirable states of managed economic-ecological systems.
|Item Type:||MPRA Paper|
|Original Title:||Modeling Complex Systems|
|Keywords:||Complex adaptive systems, differential games, spatiotemporal dynamics, fast-slow variables.|
|Subjects:||C - Mathematical and Quantitative Methods > C6 - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
Q - Agricultural and Natural Resource Economics; Environmental and Ecological Economics > Q2 - Renewable Resources and Conservation
|Depositing User:||Anastasios Xepapadeas|
|Date Deposited:||25. Sep 2009 09:05|
|Last Modified:||13. Feb 2013 10:00|
 Basar, T. and G.J. Olsder (1982), Dynamic Non-Cooperative Game Theory, New York: Academic Press.
 Berglund, N. and B. Gentz (2003) Geometric singular perturbation theory for stochastic di¤erential equations, Journal of Di¤erential Equations, 191, 1-54.
 Brock, W.A. and D. Starrett (2003), Managing systems with non-convex positive feedback, Environmental & Resource Economics 26, 575-602.
 Brock, W. and A. Xepapadeas (2004a), Management of interacting species: regulation under nonlinearities and hysteresis, Resource and Energy Economics, 26(2), 137-156.
 Brock, W. and A. Xepapadeas (2004b), Ecosystem Management in Models of Antagonistic Species Coevolution, DIVERSITAS Discussion Paper, http://ideas.repec.org/p/crt/wpaper/0503.html.
 Brock, W. and A. Xepapadeas (2008a), Di¤usion-induced instability and pattern formation in in.nite horizon recursive optimal control, Journal of Economic Dynamics and Control, 32, 2745-2787.
 Brock, W. and A. Xepapadeas (2008b), Pattern Formation, Spatial Externalities and Regulation in Coupled Economic-Ecological Systems, Available at SSRN: http://ssrn.com/abstract=1144071.
 Carpenter, S.R. (2003), Regime Shifts in Lake Ecosystems: Pattern and Variation, International Ecology Institute, Germany.
 Carpenter, S.R.,W.A. Brock and J. Hansen (1999), Ecological and social dynamics in simple models of ecosystem management, Conservation Ecology, [online], URL:http://www.consecol.org/Journal/vol3/iss2/art4.
 Carpenter, S.R. and K.L. Cottingham (1997), Resilience and restoration of lakes, Conservation Ecology, 1, 2.
 Crépin, A.-S. (2007), Using fast and slow processes to manage resources with thresholds, Environmental & Resource Economics 36, 191.213.
 Crépin, A.-S. and T. Lindahl (2008), Grazing Games, Beijer Discussion paper, 211-2008, http://www.beijer.kva.se/discussions.asp.
 Dasgupta, P. and K.-G. Mäler (Eds) (2003), The economics of non-convex ecosystems, Special Issue, Environmental & Resource Economics, 26.
 Fenichel, N. (1979), Geometric singular perturbation theory for ordinary differential equations, Journal of Di¤erential Equations, 31, 53.98.
 Genieys, S., V. Volpert and P. Auger (2006), Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources, MathematicalModelling of Natural Phenomena, 1 (1): Population dynamics pp. 65-82.
 Goetz, R. and D. Zilberman (2000), The dynamics of spatial pollution: The case of phosphorus runoff from agricultural land, Journal of Economic Dynamics and Control, 24, 143-163.
 Grimsrud, K. and R. Huffaker (2006), Solving multidimensional bioeconomic problems with singular-perturbation reduction methods: Application to managing pest resistance to pesticidal crops, Journal of Environmental Economics and Management, 51, 336.353.
 Hu¤aker, R. and R. Hotchkiss (2006), Economic dynamics of reservoir sedimentation management: Optimal control with singularly perturbed equations of motion, Journal of Economic Dynamics & Control, 30, 2553.2575.
 Janssen, M.A. (ed.) (2002), Complexity and Ecosystem Management: the Theory and Practice of Multi-Agent Systems, Edward Elgar Publishing: Cheltenham.
 Kossioris, G., M. Plexoysakis, A. Xepapadeas, A. de Zeeuw, and K.-G. Mäler (2008), Feedback Nash equilibria for non-linear di¤erential games in pollution control, Journal of Economic Dynamics and Control, 32, 1312.1331.
 Kossioris, G., M. Plexoysakis, A. Xepapadeas, and A. de Zeeuw (2009), Economic Management of Ecosystems with Thresholds, 3rd ALEAR Conference, Costa Rica.
 Levin, S.A. (1998), Ecosystems and the biosphere as complex adaptive systems, Ecosystems, 1, 431.436.
 Levin, S.A. (1999a), Fragile Dominion: Complexity and the Commons, Perseus Books, Reading, MA.
 Levin, S.A. (1999b), Towards a science of ecological management, Conservation Ecology 3(2): 6. [online] URL: http://www.consecol.org/vol3/iss2/art6.
 Levin, S. (2000), Multiple scales and the maintenance of biodiversity, Ecosystems, 3, 498.506.
 Lucas, R.E. (2001), Externalities and cities, Review of Economic Dynamics, 4, 245.274.  Lucas, R. E., and E. Rossi-Hansberg (2002), On the internal structure of cities, Econometrica, 70(4), 1445.1476.  Ludwig, D., D. Jones, and C. Holling (1978), Qualitative analysis of insect outbreak systems: the spruce budworm and forest, Journal of Animal Ecology, 47, 315-332.  Ludwig D., B. Walker, and C.S. Holling (1997), Sustainability, stability, and resilience, Conservation Ecology, [online] URL:http://www.consecol.org/vol1/iss1/art7/.  Mahon, R., P. McConney, and R.N. Roy (2008), Governing fisheries as complex adaptive systems, Marine Policy, 32, 104.112.  Mäler, K.-G., A. Xepapadeas, and A. de Zeeuw (2003), The economics of shallow lakes, Environmental & Resource Economics, 26, 603-624.
 Murray, J. (2003), Mathematical Biology, Third Edition, Springer, Berlin.
 Quah, D. (2002), Spatial agglomeration dynamics, AEA Papers and Proceedings, 92, 247.252.  Rinaldi, S. and M. Sche¤er (2000), Geometric analysis of ecological models with slow and fast processes, Ecosystems, 3, 507.521.
 Sanchirico, J. and J. Wilen (1999), Bioeconomics of spatial exploitation in a patchy environment, Journal of Environmental Economics and Management, 37(2), 129-150.
 Sanchirico, J. and J. Wilen (2005), Optimal spatial management of renewable resources: Matching policy scope to ecosystem scale, Journal of Environmental Economics and Management, 50, 23-46.
 Sche¤er, M. (1997), Ecology of Shallow Lakes, Chapman and Hall, New York.
 Scholes, R.J. and S. Archer (1997), Tree-grass interactions in savannas, Annual Review of Ecology and Systematics, 28, 517-44.
 Scholes, R.J. and B.H. Walker (1993), An African Savanna: Synthesis of the Nylsvley Study, Cambridge University Press, Cambridge.
 Smith, M., J. Sanchirico and J. Wilen (2009), The economics of spatial-dynamic processes: Applications to renewable resources, Journal of Environmental Economics and Management, 57, 104.121.
 Turing, A. (1952), The chemical basis of morphogenesis, Philosophical Transactions of the Royal Society London, 237, 37-72.
 Wagener, F.O.O. (2003), Skiba points and heteroclinic bifurcations, with applications to the shallow lake system, Journal of Economic Dynamics and Control, 27, 1533-1561.  Walker, B.H., D. Ludwig, C.S. Holling, and R.M. Peterman (1981), Stability of semiarid savanna grazing systems, Journal of Ecology, 69, 473-498.
 Wasow, W. (1965), Asymptotic Expansions for Ordinary Differential Equations, Dover Phoenix Editions, N.Y.
 Wilen, J. (2007), Economics of spatial dynamic processes, American Journal of Agricultural Economics, 89, 1134.1144.