Abstract
Economists have recently begun to consider the questions raised by the ecological concept of resilience – a measure of the degree to which a system can be perturbed before it switches from one stability domain to another. At a theoretical level, it has been argued that the loss of resilience in an ecological-economic system involves a change in its long-run productive potential, but no consideration has yet been given to the empirical investigation of this. This paper discusses an econometric approach to the problem, using the example of semi-arid rangelands. The long-run productive potential of the system is regarded as an unobserved state variable, change in which is irreversible or at least only slowly reversible. It is estimated by applying the extended (nonlinear) Kalman filter. The paper illustrates the approach using data from Botswana for the period 1965–1993. The maximum likelihood estimates of the parameters associated with the loss of resilience mechanism are non-zero. They indicate a small loss of resilience event at the end of the long drought in the 1980s. However, these parameters are very imprecisely estimated and are therefore statistically insignificant. We find that the sensitivity of the system to exogenous shocks varies with fluctuations in both economic and non-economic parameters. Contrary to what is usually thought to be the case, the sensitivity of the system to exogenous shocks is only weakly affected by variations in offtake prices, but is very strongly affected by variations in the cost of herd maintenance. This suggests that offtake prices may be a weak tool for controlling the size of cattle stocks and preventing a loss of resilience. On the other hand, taxes on cattle stocks or grazing fees may be very effective.
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References
Agricultural Statistics Unit, Planning and Statistics Division, Ministry of Agriculture, Republic of Botswana (various issues), Botswana Agricultural Statistics. Central Statistical Office, Government Printer, Gabarone.
Abel, N. (1997), ‘Mis-measurement of the Productivity and Sustainability of African Communal Rangelands: A case study and some principles from Botswana’, Ecological Economics 23, 113-133.
Arntzen, J. W. (1988), Environmental Pressure and Adaptation in Rural Botswana. Amsterdam: Free University of Amsterdam.
Arntzen, J. W. and E. M. Veenendaal (1988), A Profile of Environment and Development in Botswana. Institute for Environmental Studies, Free University of Amsterdam, Amsterdam, and National Institute of Development Research and Documentation (NIR), University of Botswana, Gabarone.
Arntzen, J. W. (1994), ‘Reevaluation of Communal Rangelands: The Southern African Experience’, Paper presented at the 3rd Biennial Conference of the International Society for Ecological Economics. San José, Costa Rica, October.
Berndt, E. R., B. Hall, R. Hall and J. Hausman (1974), ‘Estimation and Inference in Nonlinear Structural Models’, Annals of Economic and Social Measurement 3/4, 653-665.
Berndt, E. R. and M. S. Khaled (1979), ‘Parametric Productivity Measurement and Choice Among Flexible Functional Forms’, Journal of Political Economy 87, 1220-1245.
Braat, L. C. and J. B. Opschoor (1990), ‘Risks in the Botswana Range-cattle System’, in J. A. Dixon, D. E. James and P. B. Sherman, eds., Dryland Management: Economic Case Studies. London: Earthscan.
Capalbo, S. M. (1987), ‘Measuring the Components of Aggregate Productivity Growth in U.S. Agriculture’, Western Journal of Agricultural Economics 13(1), 53-62.
Central Statistical Office, Republic of Botswana (various issues), Statistical Bulletin. Central Statistical Office, Government Printer, Gabarone.
Cleveland, C. J. and D. I. Stern (1998), ‘Indicators of Natural Resource Scarcity: Review, Synthesis, and Application to U.S. Agriculture’, in J. C. J. M. van den Bergh and M. W. Hofkes, eds., Theory and Implementation of Economic Models for Sustainable Development. Dordrecht: Kluwer Academic Publisher, pp. 113-138.
Collier, P. and D. Lal (1984), ‘Why Poor People Get Rich: Kenya 1960–79’, World Development 12, 1007-1018.
Conway, G. R. (1993), ‘Sustainable Agriculture: The Trade-Offs with Productivity, Stability and Equitability’, in E. B. Barbier, ed., Economics and Ecology: New Frontiers and Sustainable Development. London: Chapman and Hall.
Couclelis, H. (1988), ‘Of Mice and Men: What Rodent Populations Can Teach Us About Complex Spatial Dynamics’, Environment and Planning A 20, 99-109.
Dasgupta, P. (1998), ‘Population, Consumption, and Resources: Ethical Issues’, Ecological Economics 24, 139-152.
De Jong, P. (1991a), ‘Stable Algorithms for the State Space Model’, Journal of Time Series Analysis 12(2), 143-157.
De Jong, P. (1991b), ‘The Diffuse Kalman Filter’, Annals of Statistics 19, 1073-1083.
Economist Intelligence Unit (1994), Country Report: Namibia, Botswana, Lesotho, and Swaziland, 3rd Quarter 1994. London: EIA.
Fidzani, N. H. (1993), Understanding Cattle Offtake Rates in Botswana. Ph.D. Dissertation, Boston University.
Food and Agriculture Organization of the United Nations (1994), FAO Yearbook: Production, Vol. 47, 1993. Rome: FAO.
Granger, C. W. J. (1993), ‘What Are We Learning About the Long-Run?’, Economic Journal.
Granger, C. W. J. and T. Teräsvirta (1993), Modelling Nonlinear Economic Relationships. New York: Oxford University Press.
Greene, W. H. (1990), Econometric Analysis. New York: Macmillan.
Harvey, A. C. (1989), Forecasting, Structural Time Series Models, and the Kalman Filter. Cambridge: Cambridge University Press.
Harvey, A. C. and P. Marshall (1991), ‘Inter-Fuel Substitution, Technical Change and the Demand for Energy in the UK Economy’, Applied Economics 23, 1077-1086.
Holling, C. S. (1973), ‘Resilience and Stability of Ecological Systems’, Annual Review of Ecology Systematics 4, 1-23.
Holling, C. S., D. W. Schindler, B. W. Walker and J. Roughgarden (1995), ‘Biodiversity in the Functioning of Ecosystems: An Ecological Primer and Synthesis’, in C. A. Perrings, K.-G. Mäler, C. Folke, C. S. Holling and B.-O. Jansson, eds., Biodiversity Loss: Ecological and Economic Issues. Cambridge: Cambridge University Press.
IMF (1994), International Financial Statistics, International Monetary Fund, Washington DC.
Perrings, C. A. (1993), ‘Pastoral Strategies in Sub-Saharan Africa: The Economic and Ecological Sustainability of Dryland Range Management’, Environment Working Paper 57. Washington DC: The World Bank Environment Department.
Perrings, C. A. (1994), ‘Stress, Shock and the Sustainability of Resource Use in Semi-Arid Environments’, The Annals of Regional Science 28, 3-53.
Perrings, C. A. (1995), ‘Ecological Resilience in the Sustainability of Economic Development’, Economie Appliquée 48, 121-142.
Perrings, C. A. (1996), Sustainable Development and Poverty Alleviation in Sub-Saharan Africa: The Case of Botswana. Macmillan: London.
Perrings, C. A., K.-G. Mäler, C. Folke, C. S. Holling and B.-O. Jansson, eds. (1995). Biodiversity Loss: Ecological and Economic Issues. Cambridge: Cambridge University Press.
Perrings, C. A. and B. H. Walker (1995), ‘Biodiversity Loss and the Economics of Discontinuous Change in Semi-Arid Rangelands’, in C. A. Perrings, K.-G. Mäler, C. Folke, C. S. Holling and B.-O. Jansson, eds., Biodiversity Loss: Ecological and Economic Issues. Cambridge: Cambridge University Press.
Perrings, C. A. and B.H. Walker (1997), ‘Biodiversity, Resilience and the Control of Ecological-Economic Systems: The Case of Fire-Driven Rangelands’, Ecological Economics 22, 73-83.
Perrings, C. A., K.-G. Mäler, C. Folke, C. S. Holling and B.-O. Jansson, eds. (1994), Biodiversity Conservation: Problems and Policies. Dordrecht: Kluwer Academic Publishers.
Pesaran, M. H. and R. Smith (1995), ‘The Role of Theory in Econometrics’, Journal of Econometrics 67, 61-79.
Pickup, G. (1991), ‘Event Frequency and Landscape Stability on the Floodplain Systems of Arid Central Australia’, Quarternary Science Reviews 10, 463-473.
Pimm, S. L. (1984), ‘The Complexity and Stability of Ecosystems’, Nature 307, 321-326.
Pindyck, R. S. and D. L. Rubinfeld (1981), Econometric Models and Economic Forecasts. Singapore: McGraw-Hill.
Slade, M. E. (1989). ‘Modelling Stochastic and Cyclical Components of Technical Change: An Application of the Kalman Filter’, Journal of Econometrics 41, 363-383.
Stern, D. I. (1992), ‘Do Regions Exist? Implications of Synergetics for Regional Geography’, Environment and Planning A 24, 1431-1448.
Stern, D. I. (1994), Natural Resources as Factors of Production: Three Empirical Studies. Ph.D. dissertation, Boston University, Boston MA.
Theil, H. (1961), Economic Forecasts and Policy. Amsterdam: North-Holland.
Tongway, D. J. and J. A. Ludwig (1989), ‘Vegetation and Soil Patterning in Semi-arid Mulga Lands of Eastern Australia’, Australian Journal of Ecology 15, 23-34.
Walker, B. H. and I. Noy-Meir (1982), ‘Aspects of the Stability and Resilience of Savanna Ecosystems’, in B. J. Huntley and B. H. Walker, eds., Ecology of Tropical Savannas. Berlin: Springer, pp. 577-590.
Walker, B. H. (1993), ‘Rangeland Ecology: Understanding and Managing Change’, Ambio 22(2–3), 80-87.
Westoby, M., B. H. Walker and I. Noy-Meir (1989), ‘Opportunistic Management for Rangelands not at Equilibrium’, Journal of Range Management 42(4), 266-274.
White, H. (1980), ‘Using Least Squares to Approximate Unknown Regression Functions’, International Economic Review 21, 149-170.
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Perrings, C., Stern, D.I. Modelling Loss of Resilience in Agroecosystems: Rangelands in Botswana. Environmental and Resource Economics 16, 185–210 (2000). https://doi.org/10.1023/A:1008374222463
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DOI: https://doi.org/10.1023/A:1008374222463