Abstract
Nitrate discharges from diffuse agricultural sources significantly contribute to groundwater and surface water pollution. Tradable permit programs have been proposed as a means of controlling nitrate emissions efficiently, but trading is complicated by the dispersed and delayed effects of the diffuse pollution. Hence, markets in nitrate discharge permits should be carefully designed to account for the underlying spatial and temporal interactions. Nitrate permit markets can be designed similar to the modern electricity markets which use LPs to find the equilibrium prices because the two trading problems have close analogy.
In this paper, we propose alternative LP models to find efficient permit prices for year-ahead markets. The model structure varies depending on the catchment hydro-geology and long-term goals of the community. We show how the market price structures are driven by the constraint structure under different environmental conditions. We discuss the physical and economic conditions required to assure consistent prices, the modeling of essential and optional constraints in an LP, and the problem of balancing resource allocation over time among delayed-response discharge units. We then extend the LP model to balance resource allocation over time and to improve the market performance.
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Alexander, R. B., Smith, R., Schwarz, G., Boyer, E., Nolan, J., & Brakebill, J. (2008). Differences in phosphorus and nitrogen delivery to the Gulf of Mexico from the Mississippi River basin. Environmental Science & Technology, 42, 822–830.
Alvey, T., Goodwin, D., Xingwang, M., Streiffert, D., & Sun, D. (1998). A security-constrained bid-clearing system for the NZ wholesale electricity market. IEEE Transactions on Power Systems, 13(2), 340–346.
Bjørndala, M., & Jörnsten, K. (2008). Equilibrium prices supported by dual price functions in markets with non-convexities. European Journal of Operational Research, 190(3), 768–789.
Beukes, P., Palliser, C., Prewer, W., Serra, V., Lancaster, J., Levy, G., Folkers, C., Neal, M., Thorrold, B., & Wastney, M. (2005). Use of a whole farm model for exploring management decisions in dairying. In Proceedings of MODSIM 2005. Modelling and simulation society of Australia and New Zealand (pp. 170–176), December.
Chao, H., Peck, S., Oren, S., & Wilson, R. (2000). Flow-based transmission rights and congestion management. The Electricity Journal, 13(8), 38–58.
Conan, C., Bouraoui, F., Turpin, N., Marsily, G. D., & Bidoglio, G. (2003). Modeling flow and nitrate fate at catchment scale in Brittany. Journal of Environmental Quality, 32, 2026–2032.
Contreras, J., Candiles, O., Fuente, J. I. D. L., & Gomez, T. (2001). Auction design in day-ahead electricity markets. IEEE Transactions on Power Systems, 16(3), 409–417.
Ermoliev, Y., Michalevich, M., & Nentjes, A. (2000). Markets for tradable emission and ambient permits: a dynamic approach. Environmental & Resource Economics, 15(1), 39–56.
Faeth, P. (2000). Fertile ground: nutrient trading’s potential to cost effectively improve water quality. Online publication, World Resources Institute.
Gorelick, S., & Remson, I. (1982). Optimal dynamic management of groundwater pollutant sources. Water Resources Research, 18(1), 71–76.
Hogan, W. W. (1992). Contract networks for electric power transmission. Journal of Regulatory Economics, 4(3), 211–242.
Hogan, W. W., Read, E. G., & Ring, B. J. (1996). Using mathematical programming for electricity spot pricing. International Transactions in Operations Research, 3(3–4), 243–253.
Johnson, S. L., Adams, R. M., & Perry, G. M. (1991). The on-farm costs of reducing groundwater pollution. American Journal of Agricultural Economics, 73(4), 1063–1073.
Leston, D. (1992). Point/nonpoint source pollution reduction trading: an interpretative survey. Natural Resources Journal, 32(2), 219–232.
Lock, K., & Kerr, S. (2008). Nutrient trading in Lake Rotorua: overview of a prototype system. Working paper 08-02, Motu Economic and Public Policy Research.
McCabe, K. A., Rassenti, S. J., & Smith, V. L. (1991). Smart computer-assisted markets. Science, 254(5031), 534–538.
McGartland, A. (1988). A comparison of two marketable discharge permit systems. Journal of Environmental Economics and Management, 15, 35–44.
Mohamed, A. A., Sharifil, M. A., & Keulenz, H. V. (2000). An integrated agro-economic and agro-ecological methodology for land use planning and policy analysis. International Journal of Applied Earth Observation and Geoinformation (Online), 2(1), 87–103.
Montgomery, W. D., (1972). Markets in licenses and efficient pollution control programs. Journal of Economic Theory, 5(3), 395–418.
Morgan, D. S., & Everett, R. (2005). Application of simulation-optimization methods for management of nitrate loading to groundwater from decentralized wastewater treatment systems near La Pine, Oregon. A report prepared for the National Decentralized Water Resources Capacity Development Project by USGS, Oregon Water Science Centre.
Morgan, C. L., Coggins, J. S., & Eidman, V. R. (2000). Tradable permits for controlling nitrates in groundwater at the farm level: a conceptual model. Journal of Agricultural and Applied Economics, 32(2), 249–258.
Morgenstern, U. (2008). Lake Taupo catchment groundwater age distribution and implications for future land-use impacts. Technical report 2007/49, Environment Waikato.
Neitsch, S. L., Arnold, J. G., Kiniry, J. R., & Williams, J. R. (2005). Soil and water assessment tool theoretical documentation: version 2005. Temple: Grassland, Soil & Water Research Laboratory, USDA Agricultural Research Service.
Ongley, E. D. (1996). Control of water pollution from agriculture. Rome: Food and Agriculture Organization of the United Nations.
OCED (2008). Environmental performance of agriculture in OECD countries since 1990. Paris: Organization for Economic Co-operation and Development.
Oren, S. S., & Ross, A. M. (2005). Can we prevent the gaming of ramp constraints? Decision Support Systems, 40, 461–471.
Oren, S. S., Spiller, P. T., Varaiya, P., & Wu, F. (1995). Nodal prices and transmission rights: a critical appraisal. Electricity Journal, 8(3), 24–35.
Petch, T., Young, J., Thorrold, B., & Vant, B. (2003). Protecting and managing sources of diffuce nutrient inflow to Lake Taupo, New Zealand. In Diffuse pollution and basin management 7th international specialised IWA conference, Dublin, Ireland.
Prabodanie, R. A. R. (2011). A market mechanism for the optimal control of groundwater and surface water pollution from nitrates. Ph.D. thesis, University of Canterbury.
Prabodanie, R. A. R., & Raffensperger, J. F. (2009). Can markets in agricultural discharge permits be competitive. In Proceedings of the 44th ORSNZ conference, Christchurch, New Zealand.
Prabodanie, R. A. R., Raffensperger, J. F., & Milke, M. W. (2009). Simulation-optimisation approach for trading point and non-point source nutrient permits. In Proceedings of 18th world IMACS congress and MODSIM09 conference, Cairns, Australia.
Rao, P. S. C., Basu, N. B., Zanardo, S., Botter, G., & Rinaldo, A. (2009). Contaminant load-discharge relationships across scales in engineered catchments: order out of complexity. In Proceedings of 18th world IMACS congress and MODSIM09 conference, Cairns, Australia.
Raffensperger, J. F. (2011). Matching users’ rights to available groundwater. Ecological Economics, 70(6), 1041–1050.
Read, E. G., Ring, B. J., Starkey, S. R., & Pepper, W. (2011, to appear). An LP formulation for a natural gas market. In P. M. Pardalos, M. V. F. Pereira, & A. Sorokin (Eds.) Handbook of Networks in Power. Berlin: Springer.
Ribaudo, M. O., Horan, R. D., & Smith, M. E. (1999). Economics of water quality protection from nonpoint sources: theory and practice. Agricultural economic report No. 782, US Department of Agriculture.
Wiederholt, R., & Johnson, B. (2005). Unintended impacts of fertilizer and manure mismanagement of natural resources. Report no. NM-1281, Fargo, North Dakota, North Dakota State University.
Zheng, C. (1990). MT3D—a modular three-dimensional transport model for simulation of advection, dispersion and chemical reaction of contaminants in groundwater systems. Ada: US EPA—Robert S. Kerr Environmental Research Laboratory.
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Ranga Prabodanie, R.A., Raffensperger, J.F., Read, E.G. et al. LP models for pricing diffuse nitrate discharge permits. Ann Oper Res 220, 87–109 (2014). https://doi.org/10.1007/s10479-011-0941-0
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DOI: https://doi.org/10.1007/s10479-011-0941-0