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A New Formulation for Determination of the Competition Coefficient in Multispecies Interaction for Lotka-Volterra Type Competition Models


Affiliations
1 Undergraduate Department, Indian Institute of Science, Bengaluru 560 012, India
 

Determination of competition coefficients constitutes a vital part in the competition-based Lotka-Volterra-type population dynamics models. Various models have been proposed for the same, some of which were instinctive formulations, while some others were derived from dynamical and equilibrium relations pertaining to population dynamics. In this work, a new instinctive formulation to determine the competition coefficient has been proposed based on various parameters that determine the intensity of interspecific competition like the availability of resources, relative importance of a particular resource for a species, energy expenditure per resource utilization, etc.

Keywords

Competition, Interspecies Interaction, Niche Overlap, Resource Utilization.
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  • Schoener, T. W., Field experiments on interspecific competition. Am. Nat., 1983, 122, 240–285.

  • Sih, A., Crowley, P., McPeek, M., Petranka, J. and Strohmeier, K., Predation, competition, and prey communities: a review of field experiments. Annu. Rev. Ecol. Syst., 1985, 16, 269–311.

  • Gurevitch, J., Morrison, J. A. and Hedges, L. V., The interaction between competition and predation: a meta‐analysis of field experiments. Am. Nat., 2000, 155, 435–453.

  • Yackulic, C. B., Reid, J., Nichols, J. D., Hines, J. E., Davis, R. and Forsman, E., The roles of competition and habitat in the dynamics of populations and species distributions. Ecology, 2014, 95, 265–279.

  • Aerts, R., Interspecific competition in natural plant communities: mechanisms, trade-offs and plant–soil feedbacks. J. Exp. Bot., 1999, 50, 29–37.

  • Colasanti, R. L. and Grime, J. P., Resource dynamics and vegetation processes: a deterministic model using two-dimensional cellular automata. Funct. Ecol., 1993, 7, 169–176.

  • Volterra, V., Fluctuations in the abundance of a species considered mathematically. Nature, 1926, 118, 558–560.

  • Gause, G. F., Experimental analysis of Vito Volterra’s mathematical theory of the struggle for existence. Science, 1934, 79, 16–17.

  • Schoener, T. W., Some methods for calculating competition coefficients from resource-utilization spectra. Am. Nat., 1974, 108, 332–340.

  • Vandermeer, J. H., The competitive structure of communities: an experimental approach with protozoa. Ecology, 1969, 50, 362–371

  • MacArthur, R. and Levins, R., The limiting similarity, convergence, and divergence of coexisting species. Am. Nat., 1967, 101, 377–385.

  • Hallett, J. G. and Pimm, S. L., Direct estimation of competition. Am. Nat., 1979, 113, 593–600.

  • Colwell, R. K. and Futuyma, D. J., On the measurement of niche breadth and overlap. Ecology, 1971, 52, 567–576.

  • Feinsinger, P., Spears, E. E. and Poole, R. W., A simple measure of niche breadth. Ecology, 1981, 62, 27–32.

  • Levins, R., Evolution in Changing Environments, Princeton University Press, Princeton, NJ, USA, 1968.

  • Holt, R. D., Predation, apparent competition, and the structure of prey communities. Theor. Popul. Biol., 1972, 12, 197–229.

  • Schoener, T. W., Population growth regulated by intraspecific competition for energy or time: some simple representation. Theor. Popul. Biol., 1973, 4, 56–84.

  • Pacala, S. and Roughgarden, J., Resource partitioning and interspecific competition in two two-species insular Anolis lizard communities. Science, 1982, 217, 444–446.

  • Pacala, S. and Roughgarden, J., Spatial heterogeneity and interspecific competition. Theor. Popul. Biol., 1982, 21, 92–113.

  • Vandermeer, J. H., Niche theory. Annu. Rev. Ecol. Syst., 1972, 3, 107–132.

  • MacArthur, R., Species packing and competitive equilibrium for many species. Theor. Popul. Biol., 1970, 1, 1–11.

  • Abrams, P., Are competition coefficients constant? Inductive versus deductive approaches. Am. Nat., 116, 730–735.

  • Boke-Olén, N. et al., Estimating and analyzing Savannah phenollogy with a lagged time series model. PLoS ONE, 2016, 11(4), e0154615.

  • Curry, A., Survival of the fittest. Nature, 2014, 513, 157–159.

  • Nagy, K. A., Field metabolic rate and food requirement scaling in mammals and birds. Ecol. Monogr., 1987, 57, 111–128.

  • Mullen, R. K. and Chew, R. M., Estimating the energy metabolism of free-living Perognathus formosus: a comparison of direct and indirect methods. Ecology, 1973, 54, 633–637.

  • Wilson, R. P., White, C. R., Quintana, F., Halsey, L. G., Liebsch, N., Martin, G. R. and Butler, P. J., Moving towards acceleration for estimates of activity-specific metabolic rate in free-living animals: the case of the cormorant. J. Anim. Ecol., 2006, 75, 1081–1090.

  • Robson, A. A., Chauvaud, L., Wilson, R. P. and Halsey, L. G., Small actions, big costs: the behavioural energetics of a commercially important invertebrate. J. R. Soc. Interface, 2012, 9, 1486–1498.

  • Sala, J. E., Wilson, R. P. and Quintana, F., How much is too much? Assessment of prey consumption by Magellanic penguins in Patagonian colonies. PLoS ONE, 2012, 7, e51487.

  • Nagy, K. A. and Montgomery, G. G., Field metabolic rate, water flux, and food consumption in three-toed sloths (Bradypus variegatus). J. Mammal., 1980, 61, 465–472.

  • Nagy, K. A. and Milton, K., Energy metabolism and food consumption by wild howler monkeys (Alouatta palliata). Ecology, 1979, 60, 475–480.

  • Joint, I. and Groom, S. B., Estimation of phytoplankton production from space: current status and future potential of satellite remote sensing. J. Exp. Mar. Biol. Ecol., 2000, 250, 233–255.

  • Boyce, D. G., Lewis, M. R. and Worm, B., Global phytoplankton decline over the past century. Nature, 2010, 466, 591–596.

  • Schoener, T. W., The controversy over interspecific competition: despite spirited criticism, competition continues to occupy a major domain in ecological thought. Am. Sci., 1982, 70, 586–595.

  • Ayala, F. J., Gilpin, M. E. and Ehrenfeld, J. G., Competition between species: theoretical models and experimental tests. Theor. Popul. Biol., 1973, 4, 331–356.

  • Schoener, T. W., Effects of density-restricted food encounter on some single-level competition models. Theor. Popul. Biol., 1978, 13, 365–381.


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  • A New Formulation for Determination of the Competition Coefficient in Multispecies Interaction for Lotka-Volterra Type Competition Models

Abstract Views: 349  |  PDF Views: 85

Authors

Anshuman Swain
Undergraduate Department, Indian Institute of Science, Bengaluru 560 012, India
Saswata Chatterjee
Undergraduate Department, Indian Institute of Science, Bengaluru 560 012, India

Abstract


Determination of competition coefficients constitutes a vital part in the competition-based Lotka-Volterra-type population dynamics models. Various models have been proposed for the same, some of which were instinctive formulations, while some others were derived from dynamical and equilibrium relations pertaining to population dynamics. In this work, a new instinctive formulation to determine the competition coefficient has been proposed based on various parameters that determine the intensity of interspecific competition like the availability of resources, relative importance of a particular resource for a species, energy expenditure per resource utilization, etc.

Keywords


Competition, Interspecies Interaction, Niche Overlap, Resource Utilization.

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DOI: https://doi.org/10.18520/cs%2Fv112%2Fi09%2F1920-1926