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Toxicant-induced fecundity compensation: A model of population responses

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Abstract

A mathematical model widely applied in population studies and in assessment of the impact of exploitation on fish populations was applied to assess cadmium toxicity in laboratory populations ofDaphnia galeata mendotae. Over a range of toxicant concentrations, the birth rate of the population increased to balance the death rate and the population compensated for the increased mortality. The model describes the relation between toxicant concentration, toxicant-induced mortality, and equilibrium population size. Compensation for increased mortality is described in terms of the decrease in population size necessary to produce an increase in the birth rate that will balance the increased death rate. The relative capacity of different aquatic organisms to compensate for toxicant-induced mortality is examined and a relation between compensatory capacity and the innate capacity for increase is developed.

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Literature cited

  • Allan, J. D. 1976. Life history patterns in zooplankton.American Naturalist. 110:165–180.

    Google Scholar 

  • Beddington, J. R., and R. M. May 1977. Harvesting natural populations in a randomly fluctuating environment.Science 197:463–465.

    Google Scholar 

  • Bertram, P. E., and B. A. Hart. 1979. Longevity and reproductionDaphnia pulex (DeGeer) exposed to cadmium-contaminated food or water.Environ. Pollut. 19:295–305.

    Google Scholar 

  • Birch, L. C. 1953. Experimental background to the study of the distribution and abundance of insects. I. The influence of temperature, moisture, and food on the innate capacity for increase of three grain beetles.Ecology 34:668–671.

    Google Scholar 

  • Clark, C. W. 1973. The economics of overexploitation.Science 181:630–634.

    Google Scholar 

  • Fenchel, T. 1974. Intrinsic rate of natural increase: The relationship with body size.Oecologia. 14:317–326.

    Google Scholar 

  • Frank, P. W., C. D. Boll, and R. W. Kelly, 1957. Vital statistics of laboratory cultures ofDaphnia pulex DeGeer as related to density.Physiol. Zool. 30:287–305.

    Google Scholar 

  • Jensen, A. L. 1971. Response of brook trout (Salvelinus fontinalis) populations to a fishery.J. Fish. Res. Board Can. 28:458–460.

    Google Scholar 

  • Jensen, A. L. 1972. Population biomass, number of individuals, average individual weight, and the linear surplus production model.J. Fish. Res. Board Can. 29:1651–1655.

    Google Scholar 

  • Jensen, A. L. 1976. Assessment of the United States lake white-fish fisheries of Lake Superior, Lake Michigan, and Lake Huron.J. Fish. Res. Board Can. 33:747–759.

    Google Scholar 

  • Jensen, A. L. 1978. Assessment of the lake trout fishery in Lake Superior: 1929–1950.Trans. Amer. Fish. Soc. 107:543–549.

    Google Scholar 

  • Marchesseault, G. D., S. B. Saila, and W. J. Palm. 1976. Delayed recruitment models and their application to American lobster (Homarus americanus) fishery.J. Fish. Res. Board Can. 33:1779–1787.

    Google Scholar 

  • Marshall, J. S. 1962. The effects of continuous gamma radiation on the intrinsic rate of natural increase ofDaphnia pulex.Ecology 43:598–607.

    Google Scholar 

  • Marshall, J. S. 1966. Population dynamics ofDaphnia pulex as modified by chronic radiation stress.Ecology 47:561–571.

    Google Scholar 

  • Marshall, J. S. 1978. Population dynamics ofDaphnia galeata mendotae as modified by chronic cadmium stress.J. Fish. Res. Board Can. 35:461–469.

    Google Scholar 

  • McFadden, J. T. 1977. An argument supporting the reality of compensation in fish populations and a plea to let them exercise it.In W. Van Winkle (ed.). Assessing the effects of power-plant-induced mortality on fish populations. Pergamon Press, New York, NY.

    Google Scholar 

  • McFarlane, G. A., and W. G. Franzin, 1978. Elevated heavy metals: A stress on a population of white suckers (Catostomus commersoni) in Harnell Lake, Saskatchewan.J. Fish. Res. Board Can. 35:963–970.

    Google Scholar 

  • Pella, J. J., and P. K. Tomlinson. 1969. A generalized stock production model.Inter. Amer. Trop. Tuna Comm. Bull. 13:419–496.

    Google Scholar 

  • Phelp, J. R. 1957. Sociality and sparse populations.Ecology 38:107–111.

    Google Scholar 

  • Pianka, E. R. 1974. Evolutionary ecology, Chiron Press. New York.

    Google Scholar 

  • Ricker, W. E. 1958. Maximum sustained yields from fluctuating environments and mixed stocks.J. Fish. Res. Board Can. 15:991–1006.

    Google Scholar 

  • Smith, F. E. 1954. Quantitative aspects of population growth. Pages 274–194.in E. Boell (ed.). Dynamics of growth processes. Princeton University Press, Princeton, NJ.

    Google Scholar 

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Work performed under the auspices of the United States Environmental Protection Agency.

Work completed while on sabbatical leave at Argonne National Laboratory.

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Jensen, A.L., Marshall, J.S. Toxicant-induced fecundity compensation: A model of population responses. Environmental Management 7, 171–175 (1983). https://doi.org/10.1007/BF01867278

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