Resilience in landscape exploitation systems

Abstract A generic model is developed that describes the broad properties of land-exploitation systems from hunting-gathering societies to modern, intensive agriculture. The framework includes social, economic and ecological drivers of change, going beyond the concept of “sustainability” to establish a paradigm of “resilient exploitation” that calculates the capacity of landscape exploitation systems to survive in uncertain and variable human and natural environments. The model is highly aggregated, consisting of two state variables: (1) human-made capital and labour ( H ) and (2) natural capital ( N ). Depending on the parameters, the model displays a single non-trivial equilibrium, two equilibria, or stable limit cycles. Our analysis focuses on the strategies that exploiters employ, through varying their investment in H , and how this affects resilience of the system. We measure resilience as the size of the basin of attraction near a desirable equilibrium and the return time following small perturbations. Four general strategies are analysed and discussed using grazing systems as a particular example: (1) constant stocking rate, (2) maintaining grass stock, (3) constant utilization rate, and (4) a non-linear, compound strategy. Like previous models of renewable resources, maximum sustainable yield and profit are determined by properties of the renewable resource, so all management strategies yield identical long-term sustainable production and identical equilibria. However, different management strategies drastically change the system's resilience. We assess the opportunity cost of the disparate objectives of resilience and profitability using multi-objective optimization and demonstrate that resilience decreases rapidly as maximum profit is approached. Thus, the same stable and sustainable equilibrium point in an exploitation system will be more or less resilient depending on the exploiter's strategy. Traditional economic analysis does not consider the impact of the management strategy employed to drive the system towards these long-term equilibria, and therefore misses large differences in dynamical behaviour away from equilibrium. The possibility of multiple steady states in these nonlinear systems results in the potential for a discontinuous “threshold” in resilience, to one side of which resilience is maintained, while on the other resilience and production are greatly degraded. We further discuss how subsidies might increase or decrease resilience of exploitation systems by affecting an exploiter's strategy.

[1]  H. Daly,et al.  Natural Capital and Sustainable Development , 1992 .

[2]  Milner B. Schaefer Some aspects of the dynamics of populations important to the management of the commercial marine fisheries , 1991 .

[3]  Carlos Romero,et al.  Multiple Criteria Analysis for Agricultural Decisions , 1989 .

[4]  H Scottgordon The economic theory of a common-property resource: The fishery , 1991 .

[5]  J. Anderies Culture and human agro-ecosystem dynamics: the Tsembaga of New Guinea. , 1998, Journal of theoretical biology.

[6]  Robert M. May,et al.  Time delays, density-dependence and single-species oscillations , 1974 .

[7]  E. Kraev Stocks, flows and complementarity: formalizing a basic insight of ecological economics , 2002 .

[8]  S. Carpenter,et al.  Catastrophic regime shifts in ecosystems: linking theory to observation , 2003 .

[9]  C. S. Holling,et al.  Regime Shifts, Resilience, and Biodiversity in Ecosystem Management , 2004 .

[10]  J. Tainter The Collapse of Complex Societies , 1988 .

[11]  R M May,et al.  Harvesting Natural Populations in a Randomly Fluctuating Environment , 1977, Science.

[12]  C. S. Holling,et al.  Resilience, Adaptability and Transformability in Social–ecological Systems , 2004 .

[13]  John H. Lawton,et al.  Concepts of Stability and Resilience in Predator-Prey Models , 1976 .

[14]  C. S. Holling Resilience and Stability of Ecological Systems , 1973 .

[15]  H. Daly,et al.  Toward an ecological economics , 1987 .

[16]  P. Zander,et al.  Modelling multiple objectives of land use for sustainable development , 1999 .

[17]  J. Anderies,et al.  Grazing Management, Resilience, and the Dynamics of a Fire-driven Rangeland System , 2002, Ecosystems.

[18]  G. Hardin The Tragedy of the Commons , 2009 .

[19]  Andrew J. Higgins,et al.  A multi-objective model for environmental investment decision making , 2008, Comput. Oper. Res..

[20]  M. Mangel,et al.  Four Facts Every Conservation Biologists Should Know about Persistence , 1994 .

[21]  Timothy A. Kohler,et al.  Sunk‐Cost Effects and Vulnerability to Collapse in Ancient Societies1 , 2003, Current Anthropology.

[22]  Vito Volterra,et al.  Leçons sur la théorie mathématique de la lutte pour la vie , 1931 .

[23]  Anthony R. Ives,et al.  Measuring Resilience in Stochastic Systems , 1995 .

[24]  John M. Anderies,et al.  Economic development, demographics, and renewable resources: a dynamical systems approach , 2003, Environment and Development Economics.

[25]  G. Hardin,et al.  The Tragedy of the Commons , 1968, Green Planet Blues.

[26]  John C. Woodwell,et al.  A simulation model to illustrate feedbacks among resource consumption, production, and factors of production in ecological-economic systems , 1998 .

[27]  Kaisa Miettinen,et al.  Nonlinear multiobjective optimization , 1998, International series in operations research and management science.

[28]  I. Noy-Meir,et al.  Stability of Grazing Systems: An Application of Predator-Prey Graphs , 1975 .

[29]  Robert Costanza,et al.  An Introduction to Ecological Economics , 1997 .

[30]  Jay Foster,et al.  Between Economics and Ecology: Some Historical and Philosophical Considerations for Modelers of Natural Capital , 2003, Environmental monitoring and assessment.

[31]  J. Brander,et al.  The Simple Economics of Easter Island: A Ricardo-Malthus Model of Renewable Resource Use , 1998 .

[32]  Millenium Ecosystem Assessment Ecosystems and human well-being: synthesis , 2005 .

[33]  Alfred J. Lotka,et al.  The growth of mixed populations: Two species competing for a common food supply , 1978 .

[34]  Colin W. Clark,et al.  Mathematical Bioeconomics: The Optimal Management of Renewable Resources. , 1993 .

[35]  R. Muradian Ecological thresholds: a survey , 2001 .

[36]  John M. Anderies,et al.  Minimal models and agroecological policy at the regional scale: An application to salinity problems in southeastern Australia , 2005 .

[37]  Christopher S. Decker,et al.  Easter Island: historical anecdote or warning for the future? , 2000 .