Optimal control of lake pH for mercury bioaccumulation control

Ecological Modelling

Volumn 216, Issue 1, 2008, Pages 1-17

  Shastri, Y ^a   Diwekar, U ^b  

^a University of Illinois at Chicago   (United States)

^b Vishwamitra Research Institute Illinois   (United States)

Author keywords

Lake liming; Mercury bioaccumulation; Optimal control; Stochastic maximum principle; Uncertainty

Indexed keywords

BIOACCUMULATION; BIOCHEMISTRY; CANNING; CONTROL THEORY; ECOLOGY; ECOSYSTEMS; FOOD PRESERVATION; INTERSECTIONS; MERCURY (METAL); OCCUPATIONAL RISKS; POLLUTION; RISK ASSESSMENT; STOCHASTIC PROGRAMMING; TELLURIUM COMPOUNDS; UNCERTAINTY ANALYSIS;

(+ MOD 2N) OPERATION; AQUATIC FOOD WEBS; CASE STUDIES; CONTROL PROBLEMS; DECISION MAKER (DM); FISH CONSUMPTION; FRESHWATER ECOSYSTEMS; HARMFUL EFFECTS; HIGH RISK (HR); HUMAN EXPOSURES; MERCURY BIOACCUMULATION; MERCURY CYCLING; MERCURY METHYLATION; MERCURY POLLUTION; MERCURY(III); METHYL MERCURY (MEHG); MULTI-OBJECTIVE PROBLEMS; OPTIMAL CONTROL (OC); OPTIMAL CONTROL THEORY (OCT); P H VALUES; PH CONTROL; REAL OPTIONS THEORY; STOCHASTIC OPTIMAL CONTROL; STOCHASTIC PROCESSING; TIME-DEPENDENT;

MERCURY COMPOUNDS;

ACIDITY; BIOACCUMULATION; COST-BENEFIT ANALYSIS; FOOD WEB; LAKE; LIMING; MERCURY (ELEMENT); METHYLMERCURY; MODELING; PH; POLLUTION CONTROL; POLLUTION EXPOSURE; STOCHASTICITY;

EID: 44949120893     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2008.03.019     Document Type: Article

References (57)

1. Barron M.G., Stehly G.R., and Hayton W.L. Pharmacokinetic modeling in aquatic animals. I. Models and concepts. Aquat. Toxicol. 18 3 (1990) 61-86
2. Bertilsson L., and Neujahr H. Methylation of mercury compounds by methylcobalamin. Biochemistry 10 14 (1971)
3. Carrol R., and Warwick J. Uncertainty analysis of the Carson River mercury transport model. Ecol. Model. 137 (2001) 211-224
4. Carrol R., Warwick J., Heim K., Bonzongo J., Miller J., and Lyons W. Simulation of mercury transport and fate in the Carson River, Nevada. Ecol. Model. 125 (2000) 255-278
5. Chukwu, E., 2001. Stability and time-optimal control of hereditary systems-with applications to the economic dynamics of the U.S., Volume 60 of Series on Advances in Mathematics for Applied Science. World Scientific.
6. Clair T., and Hindar A. Liming for the mitigation of acid rain effects in freshwaters: a review of recent results. Environ. Rev. 13 3 (2005) 91-128
7. Cocca, P., 2001. Mercury Maps: A quantitative spatial link between air deposition and fish tissue. Technical report: EPA-823-R-01-009, United States Environmental Protection Agency, Office of Water.
8. DeSimone R., Penley M., Charbonneau L., Smith G., Wood J., Hill H., Pratt J., Ridsdale S., and Williams R. The kinetics and mechanism of cobalamine-dependent methyl and ethyl transfer to mercuric ion. Biochim. Biophys. Acta 304 (1973) 851-863
9. Diwekar U. Batch Distillation: Simulation Optimal Design and Control (1996), Taylor & Francis, Washington, DC
10. Diwekar U. Introduction to Applied Optimization (2003), Kluwer Academic Publishers, Dordrecht
11. Diwekar U. Green process design, industrial ecology, and sustainability: a systems analysis perspective. Resour. Conserv. Recycl. 44 3 (2005) 215-235
12. Dixit A., and Pindyck R. Investment under Uncertainty (1994), Princeton University Press, Princeton, New Jersey
13. Donnelly, A., Jennings, E., Allott, N., 2003. A review of liming options for afforested catchments in Ireland. In: Biology and Environment: Proceedings of the Royal Irish Academy, vol. 103B, pp. 91-105.
14. Driscoll C., Blette V., Yan C., Schofield C., Munson R., and Holsapple J. The role of dissolved organic carbon in the chemistry and bioavailability of mercury in remote adirondack lakes. Water Air Soil Poll. 80 (1995) 499-508
15. Eisler, R., 1987. Mercury hazards to fish, wildlife, and invertebrates: a synoptic review. Publication no. 85 (1.10), U.S. Fish and Wildlife Service, Department of the Interior, Washington, DC.
16. Erikkson, A., 1998. Are the effects of acidification postponed and aggravated by lake liming? A laboratory study on a re-acidification of the limed Lake Gårdsjön, SW Sweden. Technical report, Department of Physical Geography, Göteborg.
17. Findlay D. The effect of incremental pH recovery on the Lake 223 phytoplankton community. Can. J. Fish. Aquat. Sci. 53 (1996) 856-864
18. Gilmour C., Henry E., and Mitchell R. Sulfate stimulation of mercury methylation in freshwater sediments. Environ. Sci. Technol. 26 (1992) 2281-2287
19. Håkanson L. A simple model to predict the duration of the mercury problem in Sweden. Ecol. Model. 93 (1996) 251-262
20. Håkanson L. Consequences and correctives related to lake acidification, liming and mercury in fish-a case-study for lake Huljesjön, Sweden, using the LakeWeb-model. Environ. Model. Assess. 8 (2003) 275-283
21. Håkanson L. A general management model to optimize lake liming operations. Lakes Reserv.: Res. Manage. 8 (2003) 105-140
22. Håkanson L., and Boulion V. The Lake Foodweb (2002), Backhuys Publishers, Leiden
23. Henrikson L., and Brodin Y. Liming of Acidified Surface Waters (1995), Springer, Berlin
24. Herendeen R.A., and Hill W.R. Growth dilution in multilevel food chains. Ecol. Model. 178 (2004) 349-356
25. Hincks S., and Mackie G. Effects of pH, calcium, alkalinity, hardness, and chlorophyll on the survival, growth, and reproductive success of zebra mussel (Dreissena polymorpha) in Ontario lakes. Can. J. Fish. Aquat. Sci. 54 (1997) 2049-2057
26. Hindar A., Kroglund F., Lyderson E., Skiple A., and Høgberget R. Liming of wetlands in the acidified Lake Røynelandsvatn catchment in southern Norway: effects on stream water chemistry. Can. J. Fish. Aquat. Sci. 53 (1996) 985-993
27. Hudson R.J., Gherini S.A., Watras C.J., and Porcella D.B. Modeling the biogeochemical cycle of mercury in lakes: The Mercury Cycling Model (MCM) and its application to the MTL study lakes. In: Watras C.J., and Huckabee J.W. (Eds). Mercury Pollution: Integration and Synthesis (1994), Lewis Publishers 473-523
28. Jensen S., and Jernelöv A. Biological methylation of mercury in aquatic organisms. Nature 223 (1969) 753-754
29. Kirk D. Optimal Control Theory: An introduction (1970), Prentice-Hall, Englewood Cliffs, NJ
30. Kolosov G. Size control of a population described by a stochastic logistic model. Automat. Rem. Contr. 58 4 (1997) 678-686
31. Landrum P., Lee H., and Lydy II M. Toxicokinetics in aquatic systems: Model comparisons and use in hazard assessment. Environ. Toxicol. Chem. 11 (1992) 1709-1725
32. Lewis F. Optimal Control (1986), John Wiley & Sons
33. Ludwig D., Carpenter S., and Brock W. Optimal phosphorous loading for a potentially eutrophic lake. Ecol. Appl. 13 4 (2003) 1135-1152
34. Luk G., and Brockway F. Application of a polychlorinated biphenyls bioaccumulation model to Lake Ontario lake trout. Ecol. Model. 101 (1997) 97-111
35. Luoma S.N., Rainbow S., and Philip. Why is metal bioaccumulation so variable? Biodynamics as a unifying concept. Environ. Sci. Technol. 39 7 (2005) 1921-1931
36. Matsinos Y.G., and Wolff W. An individual oriented model for ecological risk assessment of wading bird. Ecol. Model. 170 (2003) 471-478
37. Morabito G. Six years (1992-1997) evolution of phytoplankton communities after recovery by liming in Lake Orta, northern Italy. Lakes Reserv.: Res. Manage. 6 (2001) 305-312
38. Nagase H., Ose Y., Sato T., and Ishikawa T. Methylation of mercury by humic substances in an aquatic environment. Sci. Tot. Environ. 32 (1982) 147-156
39. Newman M.C., and Jagoe R.H. Bioaccumulation models with time lags: dynamics and stability criteria. Ecol. Model. 84 (1996) 281-286
40. Ottosson F., and Håkanson L. Presentation and analysis of a model simulating the pH response of lake liming. Ecol. Model. 105 (1997) 89-111
41. Porcella, D., Schofield, C., DePinto, J., Driscoll, C., Bukaveckas, P., Gloss, S., Young, T., 1989. Mitigation of acidic conditions in lakes and streams. In: Norton, S.A., Lindberg, S.E., Page, A.L. (Eds.), Acidic Precipitation, vol. 4: Soils, Aquatic Processes, and Lake Acidification (Advances in Environmental Science). Springer-Verlag, pp. 159-186.
42. Prepas E., Pinel-Alloul B., Chambers P., Murphy T., Reedyk S., Sandland G., and Serediak M. Lime treatment and its effects on the chemistry and biota of hardwater eutrophic lakes. Freshwater Biol. 46 (2001) 1049-1060
43. Rajar R., Zagar D., Cetina M., Akagi H., Yano S., Tomiyasu T., and Horvat M. Application of three-dimensional mercury cycling model to coastal seas. Ecol. Model. 171 (2004) 139-155
44. Reinfelder J., Fisher N., Luoma S., Nichols J., and Wang W.-X. Trace element trophic transfer in aquatic organisms: a critique of the kinetic model approach. Sci. Total Environ. 219 (1998) 117-135
45. Rico-Ramirez V., and Diwekar U. Stochastic maximum principle for optimal control under uncertainty. Comput. Chem. Eng. 28 (2004) 2845-2849
46. Rico-Ramirez V., Diwekar U., and Morel B. Real option theory from finance to batch distillation. Comput. Chem. Eng. 27 (2003) 1867-1882
47. Riely P., and Rockland D. Evaluation of liming operations though benefit-cost analysis. Water Air Soil Poll. 41 (1988) 293-328
48. Shastri Y., and Diwekar U. Sustainable ecosystem management using optimal control theory. Part 1 (Deterministic systems). J. Theor. Biol. 241 (2006) 506-521
49. Shastri Y., and Diwekar U. Sustainable ecosystem management using optimal control theory. Part 2 (Stochastic systems). J. Theor. Biol. 241 (2006) 522-532
50. Sorensen J., Glass G., Schmidt K., Huber J., and Rapp G. Airborne mercury deposition and watershed characteristics in relation to mercury concentrations in water, sediments, plankton and fish of eighty northern minnesota lakes. Environ. Sci. Technol. 24 (1990) 1716-1727
51. Thompson R., Voit E., and Scott G. A probabilistic model for predicting distributions of PAH ratios between oysters and marine sediments. Ecol. Model. 135 (2000) 231-242
52. Ulas S., and Diwekar U. Thermodynamics uncertainties in batch processing and optimal control. Comput. Chem. Eng. 28 (2004) 2245-2258
53. USEPA, 1997. Mercury study report to congress. Report to congress: EPA-452/R-97-003, United States Environmental Protection Agency.
54. USEPA, 2000. Mercury research strategy. Technical report: EPA/600/R-00/073, United States Environmental Protection Agency, Office of Research and Development, Washington, DC 20460.
55. Winfrey M.R., and Rudd J.W.M. Environmental factors affecting the formation of methylmercury in low pH lakes. Environ. Toxicol. Chem. 9 (1990) 853-869
56. Wood J., Kennedy F., and Rosen C. Synthesis of methyl-mercury compounds by extracts of a methanogenic bacterium. Nature 220 (1968) 173-174
57. Xun L., Campbell N., and Rudd J. Measurements of specific rates of net methyl mercury production in the water column and surface sediments of acidified and circumneutral lakes. Can. J. Fish. Aquat. Sci. 44 (1987) 750-757