Abstract
Since the 1950s there has been a growing interest in mathematical models as guides to harvesting fish and game or controlling pests and vector borne disease. So far there are few indications that we can use such models in day-to-day ecological management, but experience confirms that they have a powerful role to play in developing management strategies and in the formulation of policy.
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References
Watt, K. E. F. Ecology and Resource Management (McGraw-Hill, New York, 1968).
Conway, G. R. in Insects: Studies in Population Management (eds Geier. P. W., Clark, L. R., Andersen, D. J. & Nix, H. A.) 103–120 (Ecological Society of Australia, Canberra, 1973).
Jeffers, J. N. R. (ed.) Mathematical Models in Ecology (Blackwell Scientific, Oxford 1972).
Patten, B. C. (ed.) System Analysis and Simulation in Ecology 1 & 2 (Academic, New York, 1971 & 1972).
Ruesink, W. G. A. Rev. Ent. 21, 27–44 (1976).
Van Dyne, G. M. & Abransky, Z. in Study of Agricultural Systems (ed. Dalton, G. E.) 23–106 (Applied Science, London, 1975).
Farr, W. J. Soc. Sci. 233–236 (1866).
Verhulst, P. F. Correspondance Mathematique et Physique 10, 113–121 (1838).
Ross, R. Report on the prevention of Malaria in Mauritius, London (1908).
Ross, R. The Prevention of Malaria, 2nd ed. London (1911).
Ross, R. Nature 87, 466–467 (1911).
Ross, R. Proc. R. Soc. A 92, 204–230 (1916).
Graham, G. M. J. Cons. perm. int. Explor. Mer. 10, 264–274 (1935).
Hjort, J., Jahn, G. & Ottestad, P. Hvalrad. Skr. 7, 92–127 (1933).
Garfinkel, D. in Computers in Biomedical Research 2 (eds Stacey, R. W. & Waxman, B.) 205–216 (Academic, New York, 1965).
Holling, C. S. Mem. Entomol. Soc. Can. 48, 86 (1966).
Jones, J. G. W. in Rep. Grassld Res. Inst. 1965, 51–52 (1966).
Van Dyne, G. M. Oak Ridge Natl. Lab. Tech. Memo. 3957, 40 (1966).
Watt, K. E. F. (ed.) Systems Analysis in Ecology (Academic, New York, 1966).
Neuhold, J. M. in System Analysis and Simulation in Ecology 3 (ed. Patten, B. C.) 7–12 (Academic, New York, 1975).
O'Neill, R. V. in Ecological Modelling in a Resource Management Framework (ed. Russell, C. S.) 251–282 (Resources for the Future, Washington, 1975).
Van Dyne, G. M. in Mathematical Models in Ecology (ed. Jeffers, J. N. R.) 111–172 (Blackwell Scientific, Oxford, 1972).
Worthington, E. B. (ed.) The Evolution of IBP (Cambridge University, Cambridge, 1975).
Park, R. A., Scavia, D. & Clesceri, N. L. in Ecological Modeling in a Resource Management Framework (ed. Russell, C. S.) 13–48 (Resources for the Future, Washington, 1975).
Park, R. A. et al. Simulation 23, 33 (1974).
Pattern, B. C. (ed.) Systmes Analysis and Simulation in Ecology 3 & 4 (Academic, New York, 1975 & 1976).
Shugart, H. H., Goldstein, R. A., O'Neill, R. V. & Mankin, J. B. Oecol. Plant. 9, 231 (1974).
Woodmansee, R. G. Critique and analysis of the grassland ecosystem model ELM 93 (US IBP Grassland Biome, Natural Resource Ecological Laboratory, Colorado State University, 1975).
Watt, K. E. F. in Systems Analysis and Simulation in Ecology 3 (ed. Patten, B. C.) 139–158 (Academic, New York, 1975).
Chen, C. W. & Orlob, G. T. in Systems Analysis and Simulation in Ecology 3 (ed Patten, B. C.) 476–588 (Academic, New York, 1975).
Kelly, R. A. in Systems Analysis and Simulation in Ecology 4 (ed. Patten, B. C.) 3–45 (Academic, New York, 1976).
Biswas, A. K. Ecological Modelling 1, 31–48 (1975).
Holcomb Research Institute. Environmental Modeling and Decision Making (Praeger, New York, 1976).
Mitchell, R., Mayer, R. A. & Downhower, J. Science 192, 859–865 (1976).
Watt, K. E. F. Simulation 28, 1–3 (1977).
Walker, B. H., Norton, G. A., Conway, G. R., Comins, H. N. & Birley, M. J. appl. Ecol. (in the press).
Macdonald, G. The Epidemiology and Control of Malaria (Oxford University, London, 1957).
Macdonald, G. Publ. Hlth Rep., Wash. 76, 753–764 (1961).
Najera, J. A. Bull. Wld Hlth Org. 50, 449–457 (1974).
Macdonald, G., Cuellar, C. B. & Foll, C. V. Bull. Wld Hlth Org. 38, 743–755 (1968).
Dietz, K., Molineaux, L. & Thomas, A. Bull. Wld Hlth Org. 50, 347–357 (1974).
Cohen, J. E. Ann. Rev. Ecol. Syst. (in the press).
Cohen, J. E. in Theoretical Ecology: Principles and Applications (ed. May, R. M.) 237–256 (Blackwell Scientific, Oxford, 1976).
Fine, P. E. M. (ed.) Mathematical Models of Schistosomiasis (Edna McConnel Clark Foundation, New York, 1976).
Hairston, N. G. in Epidemiology and Control of Schistosomiasis (Bilharzia) (ed. Ansari, N.) (Basel, University Park, Baltimore, 1973).
Lee, K. L. & Lewis, E. R. IEEE Trans. Biomed. Eng. BME-23, 225–233 (1976).
May, R. M. Math. Biosci. (in the press).
Nasell, I. Theor. Pop. Biol. 10, 47–69 (1976).
Nasell, I. Theor. Pop. Biol. 10, 133–144 (1976).
Nassell, I. & Hirsch, W. M. Commun. pure appl. Math. 26, 395–453 (1973).
Macdonald, G. Trans. R. Soc. trop. Med. Hyg. 59, 489–506 (1965).
Bradley, D. J. & May, R. M. Proc. R. Soc. trop. Med. Hyg. (in the press).
Fenwick, A. Bull. Wld Hlth Org. 47, 573–578 (1972).
Fenwick, A. & Figenschou, B. H. Bull. Wld Hlth Org. 47, 567–572 (1972).
Mears, L. A. Economic Project Evaluation with Philippine Cases (University of the Philippines, Manila, 1969).
Wright, W. H. Bull. Wld Hlth Org. 47, 559–566 (1972).
Clark, C. W. Mathematical Bioeconomics: The Optimal Management of Renewable Resources (Wiley-Interscience, New York, 1976).
Christy, F. T. Alternative Arrangments for Marine Fisheries: An Overview (Resources for the Future, Washington DC, 1973).
Graham, M. Cons. int. L'Explor. Mer. Rapp. P.-v. Reun. 132, 72–78 (1952).
Gulland, J. A. The Management of Marine Fisheries (University of Washington, Seattle, 1974).
Cushing, D. Marine Ecology and Fisheries (Cambridge University, London, 1975).
Schaefer, M. B. J. Fish. Res. Bd Can. 14, 669–681 (1957).
Gordon, R. L. J. Polit. Econ. 62, 124–142 (1954).
Anderson, L. G. J. Fish. Res. Bd Can. 30, 509–518 (1973).
Copes, P. Manchester School of Social and Economic Studies 40, 145–163 (1972).
Cushing, D. Fisheries Resources of the Sea and their Management (Oxford University, Oxford, 1975).
Chapman, D. G., Allen, K. R. & Holt, S. J. Rep. int. Commn Whal. 14, 32–106 (1964).
Gambell, R. Appl. Biol. 1, 247–343 (1976).
Beddington, J. R. & May, R. M. Science (in the press).
Clark, C. W. & Munro, G. R. J. Envir. Econ. Management 2, 92–106 (1975).
Clark, C. W. Advisory Committee on Marine Resources Research ACMRR/MM/SC/65 (F.A.O., London, 1976).
Beverton, R. J. H. & Holt, S. J. On the Dynamics of Exploited Fish Populations (Min. Ag. Fish & Food Fisheries, Investigation Series 2(19), London, 1957).
Beddington, J. R. & Taylor, D. B. Biometrics 29, 801–809 (1973).
Leslie, P. H. Biometrics 35, 213–245 (1948).
Reed, W. J. Math. Biosci. 22, 313–337 (1974).
Usher, M. B. in Mathematical Models in Ecology (ed. Jeffers, J. N. R.) 29–60 (Blackwell Scientific, Oxford, 1972).
Beddington, J. R. J. Envir. Management 3, 91–103 (1975).
Walsh, J. J. in The Ecology of the Seas (eds Cushing, D. H. & Walsh, J. J.) 388–407 (Blackwell Scientific, Oxford, 1976).
Steele, J. H. The Structure of Marine Ecosystems (Harvard University, Cambridge, 1974).
Parrish, B. B. (ed.) Fish Stocks and Recruitment Rapp. P.-v. Reun. Cons. int. Explor. Mer 164 (1973).
Beddington, J. R., Free, C. A. & Lawton, J. H. J. anim. Ecol. 45, 791–816 (1976).
Gilbert, N., Gutierrez, A. P., Frazer, B. D. & Jones, R. E. Ecological Relationships (Freeman, San Francisco, 1976).
Hassell, M. P. in Theoretical Ecology: Principles and Applications (ed. May, R. M.) 71–93 (Blackwell Scientific, Oxford, 1976).
Murdoch, W. W. & Oaten, A. Adv. Ecol. Res. 9, 2–131 (1975).
Royama, T. Res. Popul. Ecol. Suppl. 1, 1–91 (1971).
Hassell, M. P. & May, R. M. J. anim. Ecol. 42, 693–726 (1973).
Conway, G. R. in Theoretical Ecology: Principles and Applications (ed. May, R. M.) 257–281 (Blackwell Scientific, Oxford, 1976).
Southwood, T. R. E. in Origins of Pest, Parasite, Disease and Weed Problems (eds Cherrett, J. M. & Sugar, G. R.) 35–54 (Blackwell Scientific, Oxford, 1977).
Southwood, T. R. E., May, R. M., Hassell, M. P. & Conway, G. R. Am. Nat. 108, 791–804 (1900).
Southwood, T. R. E. & Comins, H. N. J. anim. Ecol. 45, 949–965 (1976).
Hueth, D. & Regev, U. Am. J. agr. Econ. 56, 543–552 (1974).
Regev, U., Shalit, H. & Gutierrez, A. P. in Proc. IIASA Pest Management Conference (eds Norton, G. A. & Rolling, C. S.) (IIASA, Laxenburg, in the press).
Taylor, C. R. & Headley, Can. Ent. 107, 237–242 (1975).
Comins, H. N. J. theor. Biol. 64, 177–197 (1977).
Comins, H. N. J. theor. Biol. 65, 399–420 (1977).
Conway, G. R., Norton, G. A., Small, N. J. & King, A. B. S. in Study of Agricultural Systems (ed Dalton, G. E.) 193–229 (Applied Science, London, 1975).
Bellman, R. Dynamic Programming (Princeton Univ., Princeton, 1957).
Regev, U., Gutierrez, A. P. & Feder, G. Am. J. agr. Econ. 58, 188–195 (1900).
Shoemaker, C. A. Math. Biosci. 18, 1–22 (1973).
Shoemaker, C. A. in Proc. IIASA Pest Management Conference (eds Norton, G. A. & Holling, C. S.) (IIASA, Laxenburg, in the press).
Watt, K. E. F. Can. Ent. 95, 525–636 (1963).
Conway, G. R. in Proc. XV International Congress of Entomology 541–552 (Washington, DC, 1976).
Gutierrez, A. P., DeMichele, D. W. & Wang, Y. in Proc. XV International Congress of Entomology 553–559 (Washington, DC, 1976).
Wang, Y., Gutierrez, A. P. & Oster, G. Can. Ent. (in the press).
Gutierrez, A. P. in Proc. IIASA Pest Management Conference (eds Norton, G. A. & Holling, C. S.) (IIASA, Laxenburg, in the press).
Kiritani, K. in Proc. XV International Congress of Entomology 591–598 (Washington, DC, 1976).
Kiritani, K. in Proc. IIASA Pest Management Conference (eds Norton, G. A. & Holling, C. S.) (IIASA, Laxenburg, in the press).
Sasaba, T. & Kiritani, K. Res. Popul. Ecol. 16: 231–244 (1975).
Sasaba, T., Kiritani, K. & Urabe, T. Res. Popul. Ecol. 15: 9–22 (1973).
Holling, C. S., Jones, D. D. & Clark, W. C. in Proc. IIASA Pest Management Conference (eds Norton, G. A. & Holling, C. S.) (IIASA, Laxenburg, in the press).
Norton, G. A. Ann. appl. Biol. 84, 444–447 (1976).
Norton, G. A. Agroecosystems 3, 27–44 (1976).
Norton, G. A. & Conway, G. R. in Origin of Pest, Parasite, Disease and Weed Problems (eds Cherrett, J. M. & Sagar, G. R.) 205–226 (Blackwell Scientific, Oxford, 1977).
Keeney, R. L. IIASA Research Memorandum 75–43 (1975).
Keeney, R. L., Wood, E. F., David, L. & Csontos, K. IIASA Collaborative Publication 76–3 (1976).
Walters, C. J. IIASA Research Report 75–12 (1975).
Hilborn, R. & Peterman, R. M. in Management for People (ed. Ellis, D. V.) 68–98 (University of Victoria, British Columbia, 1977).
Hilborn, R. & Walters, C. J. J. Fish Res. Bd Can. 34, 64–72 (1977).
Keeney, R. L. J. Fish Res. Bd Can. 34, 49–63 (1977).
Holling, C. S. Ann. Rev. Ecol. Syst. 4, 1–24 (1973).
Holling, C. S. Proc. Conf. Future Energy Strategies (Oak Ridge Associated Universities, in the press).
Larkin, P. A. Trans. Am. Fish. Soc. 106, 1–11 (1977).
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Conway, G. Mathematical models in applied ecology. Nature 269, 291–297 (1977). https://doi.org/10.1038/269291a0
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DOI: https://doi.org/10.1038/269291a0
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