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Abstract:

A basic structure [Eqs. (5), (6), (3), (12), (30)] for mathematical models of resource-population systems is presented. This basic structure may be specified in order to include different alternative hypotheses and it represents, therefore, a family of particular models. The study of one of its particular realizations [Eqs. (31) and (39)] shows that its behavior agrees qualitatively with what should be expected from biological considerations. Even when the system of nonlinear differential equations could not be solved explicitly, important information has been obtained, by studying its properties in the limiting cases, its sensitivity to changes in the parameters, and the results of computer simulation. The proposed model, duplicating some of the basic features of a population living under resource limitation, and allowing a coupling with a predator population, is intended to be used as an elementary component in food web or ecosystem theoretical studies. The studies need not include detailed descriptions of the population variables, but rather only its essential, gross features, in order to explore the properties that characterize the complete systems. © 1971 Springer-Verlag.

Registro:

Documento: Artículo
Título:A generalized model of a resource-population system - I. General properties
Autor:Gallopín, G.C.
Filiación:Division of Biological Sciences, Section of Ecology and Systematics, Cornell University, Ithaca, New York, United States
Cabinete de Ecología Centro de Investigaciones de Recursos Naturales, I.N.T.A. Castelar-F.D.F.S. Pcia, Buenos Aires, Argentina
Año:1971
Volumen:7
Número:4
Página de inicio:382
Página de fin:413
DOI: http://dx.doi.org/10.1007/BF00345861
Título revista:Oecologia
Título revista abreviado:Oecologia
ISSN:00298549
CODEN:OECOB
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00298549_v7_n4_p382_Gallopin

Referencias:

  • von Bertalanffy, L., (1968) General system theory, , George Braziller, Inc., New York
  • Gallopín, G.C., (1969) A generalized model of a resource-population system, , Cornell University, New York
  • Hairston, N.G., Smith, F.E., Slobodkin, L.B., Community structure, population control, and competition (1960) Amer. Naturalist, 94, pp. 412-425
  • Herbert, D. 1958: In: Tsuchiya et al., 1966; Ivlev, V.S., Density and distribution of food as factors in determining the rations of fishes (1945) Zool. Zh., 24, pp. 112-125
  • Ivlev, V.S., (1961) Experimental ecology of the feeding of fishes, , Yale Univ. Press, New Haven
  • Kostitzin, V.A., (1939) Mathematical biology, , G. G. Harrap and Co., London
  • Lotka, A.J., (1925) Elements of physical biology, , Williams & Wilkins, Baltimore
  • M'Kendrick, A.G., Pai, M.K., (1911) Proc. roy. Soc. Edinb. B, 31, pp. 649-655
  • Monod, J., (1942) Recherches sur la croissance des cultures bacteriennes, , Hermann et Cie, Paris
  • Morin, F., Monod, J.: Sur l'expression analytique de la croissance des populations bacteriennes. Rev. Scient. No 3208, 227–229 (1942); Pearl, R., Reed, L.J., On the rate of growth of the population of the United States since 1790 and its mathematical representation (1920) Proceedings of the National Academy of Sciences, 6, pp. 275-288
  • Reddingius, J., A mathematical note on a model of a consumer-food relation in which the food is continually replaced (1963) Acta biother. (Leiden), 16, pp. 133-198
  • Smith, F.E., Experimental methods in population dynamics: a critique (1952) Ecology, 33, pp. 441-450
  • Smith, F.E., Quantitative aspects of population growth (1954) Dynamics of growth processes, , E. J., Boell, Princeton Univ. Press, Princeton, New Jersey
  • Smith, F.E., Population dynamics in Daphnia magna and a new model for population growth (1963) Ecology, 44, pp. 651-663
  • Teissier, G.: Croissance des populations bacteriennes et quantite d'aliment disponsible. Rev. Scient. No 3208, 209–214 (1942); Tsuchiya, H.M., Fredrickson, A.G., Arias, R., Dynamics of microbial cell populations (1966) Advanc. Chem. Engng., 6, pp. 125-206
  • Verhulst, P.F., Notice sur la loi que la population suit dans son acroissement (1938) Corr. Math. et Phys., 10, pp. 113-121
  • Volterra, V., Variazioni e fluctuazioni del numero d'individui in specie animali conviventi (1926) Mem. Acad. Siencie Roma, 2, pp. 31-113
  • Volterra, V., (1931) Leçons sur la theorie mathematique de la lutte pour la vie, pp. 1-214. , Cahiers Scient, 7, Gauthiers-Villard, Paris
  • Watt, K.E.F., A mathematical model for the effect of densities of attacked and attacking species on the number attacked (1959) The Canadian Entomologist, 91, pp. 129-144
  • Watt, K.E.F., (1968) Ecology and resource management, , McGraw Hill, New York

Citas:

---------- APA ----------
(1971) . A generalized model of a resource-population system - I. General properties. Oecologia, 7(4), 382-413.
http://dx.doi.org/10.1007/BF00345861
---------- CHICAGO ----------
Gallopín, G.C. "A generalized model of a resource-population system - I. General properties" . Oecologia 7, no. 4 (1971) : 382-413.
http://dx.doi.org/10.1007/BF00345861
---------- MLA ----------
Gallopín, G.C. "A generalized model of a resource-population system - I. General properties" . Oecologia, vol. 7, no. 4, 1971, pp. 382-413.
http://dx.doi.org/10.1007/BF00345861
---------- VANCOUVER ----------
Gallopín, G.C. A generalized model of a resource-population system - I. General properties. Oecologia. 1971;7(4):382-413.
http://dx.doi.org/10.1007/BF00345861