Abstract
This article argues that natural capital should be viewed as a stock or state variable whose evolution is described by a difference or differential equation. Ecosystem services are benefit flows produced by stocks of natural capital. To value natural capital and the ecosystem services they provide, one needs to determine their value when they are optimally managed. This requires solving a dynamic optimization problem. The steady-state optimum to such a problem can serve as a benchmark from which to estimate the losses associated with pure open access (the tragedy of the commons) or any other sub-optimal steady state. This approach is illustrated by estimating the ecosystem service from oysters that remove nutrients from Chesapeake Bay.
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References
Bockstael, N.E., McConnell, K.E., Strand, I.E.: Benefits from improvements in chesapeake bay water quality. Technical report, U.S. Environmental Protection Agency, Washington (1988)
Bockstael, N.E., McConnell, K.E., Strand, I.E.: Measuring the benefits of improvements in water quality: the chesapeake bay. Mar. Resour. Econ. 6, 1–18 (1989)
Calish, S., Fight, R., Teeguarden, D.E.: How do nontimber values affect Douglas fir rotations? J. For. 76, 217–222 (1978)
Clark, C.W.: Mathematical Bioeconomics: the optimal management of renewable resources. Wiley, New York (1976)
Cropper, M.L., Isaac, W.: The benefits of achieving the chesapeake bay tmdls (total maximum daily loads). Technical report, Resources for the Future (RFF), Washington, D.C. (2011). Discussion Paper
Dasgupta, P.: Nature’s role in sustainable economic development. Philos. Trans. R. Soc. B 365, 5–11 (2010)
Grabowski, J.H., Burmbaugh, R.D., Conrad, R.F., et al.: Economic valuation of ecosystem services provided by oyster reefs. BioScience 62, 900–909 (2012)
Hartman, P.R.: The harvesting decision when a standing forest has value. Econ. Inq. 14, 52–58 (1976)
Kasperski, S., Wieland, R.: When is it optimal to delay harvesting? The role of ecological services in the northern Chesapeake Bay oyster fishery. Mar. Resour. Econ. 24, 361–385 (2009)
Krupnick, A.: Reducing bay nutrients: An economic perspective. Md. Law Rev. 47, 453–480 (1988)
Lipton, D., Hicks, R.W.: The economic benefits of oyster reef restoration in the chesapeake bay, final report. Technical report, Chesapeake Bay Foundation, Annapolis (2004)
Maryland Department of Natural Resources: The 2013 fall survey. Technical report, Maryland Department of Natural Resources, Annapolis (2014)
Morgan, C., Owens, N.: Benefits of water quality policies: the Chesapeake Bay. Ecol. Econ. 39, 271–284 (2001)
Mykoniatis, N., Ready, R.: Optimal oyster management in Chesapeake Bay incorporating sanctuaries, reserves, aquaculture, and externalities. In: Selected Papers from the 2012 AAEA Meetings (2012)
Peterson, C.H., Grabowski, J.H., Powers, S.P.: Estimated enhancement of fish production resulting from restoring oyster reef habitat: quantitative valuation. Mar. Ecol. Prog. Ser. 264, 249–264 (2003)
Samuelson, P.A.: Economics of forestry in an evolving society. Econ. Inq. 14, 466–492 (1976)
Sanchirico, J.N., Wilen, J.E.: A bioeconomic model of marine reserve creation. J. Environ. Econ. Manag. 42, 257–276 (2001)
Sanchirico, J.N., Wilen, J.E.: The impacts of marine reserves on limited entry fisheries. Nat. Resour. Model. 15, 291–310 (2002)
Smith, M.D., Wilen, J.E.: Economic impacts of marine reserves: the importance of spatial behavior. J. Environ. Econ. Manag. 46, 183–206 (2003)
Smith, M.D., Wilen, J.E.: Marine reserves with endogenous ports: empirical bioeconomics of the California sea urchin fishery. Mar. Resour. Econ. 19 (2004)
Smith, M.D., Sanchirico, J.N., Wilen, J.E.: The economics of spatial-dynamic processes: applications to renewable resources. J. Environ. Econ. Manag. 57, 104–121 (2009)
van Houten, G.L.: Changes in ecosystem services associated with alternative levels of ecological indicators. Technical Report EPA-452/R-09-008b, Environmental Protection Agency (EPA), RTI International, Research Triangle Park, North Carolina (2009)
Vousden, N.: Basic theoretical issues of of resource depletion. J. Econ. Theory 6, 126–143 (1973)
Weisbrod, B.A.: Collective-consumptive services of individual consumption goods. Q. J. Econ. 78, 457–470 (1964)
Weitzman, M.L.: Gamma discounting. Am. Econ. Rev. 91, 260–271 (2001—)
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Conrad, J.M. (2019). Dynamic Optimization, Natural Capital, and Ecosystem Services. In: Kaper, H., Roberts, F. (eds) Mathematics of Planet Earth. Mathematics of Planet Earth, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-030-22044-0_11
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DOI: https://doi.org/10.1007/978-3-030-22044-0_11
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