Equadiff 82 pp 215-245 | Cite as
Deterministic and stochastic models for the dynamics of animal populations
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Keywords
Population Dynamic Deterministic Model Stochastic Simulation Intrinsic Rate Natural Increase
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References
- 1.G.A. BECUS, (1980): Stochastic predator-prey relationships. Lect. Notes Pure Appl. Math. 58, 171–195.MathSciNetMATHGoogle Scholar
- 2.K. BEUTER, C. WISSEL & U. HALBACH, (1981): Correlation and spectral analyses of the dynamics of a controlled rotifer population. In: D.G. CHAPMAN & V.F. GALUCCI (Eds.): Quantitative Population Dynamics (Statistical Ecology Series 13), 61–82.Google Scholar
- 3.C. BIRCH, (1948): The intrinsic rate of natural increase of an insect population. J. Anim. Ecol. 17, 15–26.CrossRefGoogle Scholar
- 4.L.M. COOK, (1965): Oscillations in the simple logistic growth model. Nature (Lond.), 207, 316.CrossRefGoogle Scholar
- 5.L.J. DUBLIN & A.J. LOTKA, (1925): On the true rate of natural increase. J. Amer. Statist. Ass. 20, 305–339.Google Scholar
- 6.W.T. EDMONDSON, (1968): A graphical model for evaluating the use of egg ratio for measuring birth and death rates. Oecologia 1, 1–37.CrossRefGoogle Scholar
- 7.F.C. EVANS & E.F. SMITH, (1952): The intrinsic rate of natural increase of the human louse Pediculus humanus L. Amer. Nat. 86, 229–310.CrossRefGoogle Scholar
- 8.J.W. FORRESTER, (1971): World Dynamics. Cambridge, Mass.Google Scholar
- 9.D. GIRKE & U. HALBACH, (1982): A new population model: Computer simulation using different time lags for birth and death rate. Ber. Ökol. Aussenst. Schlüchtern 11 (in press).Google Scholar
- 10.B.S. GOH, (1980): Stability of some multispecies population models. Lect. Notes Pure Appl. Math. 58, 209–216.MathSciNetMATHGoogle Scholar
- 11.U. HALBACH, (1970): Influence of temperature on the population dynamics of the rotifer Brachionus calyciflorus PALLAS. Oecologia 4, 176–207.CrossRefGoogle Scholar
- 12.U. HALBACH, (1973): Life table data and population dynamics of the rotifer Brachionus calyciflorus PALLAS as influenced by periodically oscillating temperature. In: W. WIESER (Ed.): Effects of Temperature on Ectothermic Organisms. Springer-Verlag, Berlin-Heidelberg-New York, 217–228.CrossRefGoogle Scholar
- 13.U. HALBACH, (1974): Modelle in der Biologie. Naturwiss. Rundschau 27, 3–15.Google Scholar
- 14.U. HALBACH, (1975): Methoden der Populationsökologie. Verh. Ges. Ökol., Erlangen 1974, 1–24.Google Scholar
- 15.U. HALBACH, (1976): Populations-und synökologische Modelle in der Ornithologie. J. Ornithol. 117, 279–296.CrossRefGoogle Scholar
- 16.U. HALBACH, (1978a): Problems of ecosystem research as exemplified by limnology. Verh. Dtsch.Zool. Ges. 1977, 41–66.Google Scholar
- 17.U. HALBACH, (1978b): Populationdynamik planktischer Rotatorien. Verh. Ges. Ökol. Kiel 1977, 173–183.Google Scholar
- 18.U. HALBACH, (1979a): The ecological niche and derived concepts. Abh. Geb. Vogelkunde 6, 53–65.Google Scholar
- 19.U. HALBACH, (1979b): Introductory remarks: Strategies in population research exemplified by rotifer population dynamics. In: U. HALBACH & J. JACOBS (Eds.): Population Ecology. Fortschr. Zool. 25, 1–27.Google Scholar
- 20.U. HALBACH, (1979c): Modelle und Modellvorstellungen in der Biologie. Handbuch d. prakt. und exper. Schulbiologie 1/1, 61–112.Google Scholar
- 21.U. HALBACH, (1979d): Computer sagt Bevölkerungsentwicklung voraus. Mathematische Modelle für Schwankungen der Individuendichte. Umschau 79(11), 341–346.Google Scholar
- 22.U. HALBACH, (1982a): Population dynamics of rotifers and its consequences for ecotoxicology. Hydrobiologia (in press).Google Scholar
- 23.U. HALBACH, (1982b): Population ecology of rotifers as a bioassay tool for ecotoxicological tests in aquatic environments. Ecotoxicology and Environmental Safety (in press).Google Scholar
- 24.U. HALBACH & H.-J. BURKHARDT (1972): Are simple time-lags responsible for cyclic variation of population density? A comparison of laboratory population dynamics with computer simulations. Oecologia 9, 215–222.CrossRefGoogle Scholar
- 25.U. HALBACH & I. FRIZ, (1978): Bei welcher Individuendichte stoppt eine Bevölkerungsexplosion? Ber. Ökol. Aussenstelle Schlüchtern 1, 107–127.Google Scholar
- 26.U. HALBACH & G. HALBACH-KEUP, (1974): Quantitative relations between phytoplankton and the population dynamics of the rotifer Brachionus calyciflorus PALLAS. Results of laboratory experiments and field studies. Arch. Hydrobiol. 73, 273–309.Google Scholar
- 27.U. HALBACH et al. (1981a): Population dynamics of rotifers as rotifers as bioassay tool for toxic effects of organic pollutants. Verh. Intern. Verein. Limnol. 21, 1147–1152.Google Scholar
- 28.U. HALBACH et al. (1981b): The population dynamics of rotifers as bioassay for sublethal ecotoxicological effects exemplified with pentachlorophenol (PCP). Verh. Ges. Ökol., Berlin 1980, 261–267.Google Scholar
- 29.T.G. HALLAM, (1980): Persistence in Lotka-Volterra models of food chains and competition. Lect. Notes Pure Appl. Math. 58, 1–12.MathSciNetMATHGoogle Scholar
- 30.J.F. HANEY, M. BRAUER & G. NÜRNBERG, (1982): Cerenkov Counting: A useful method for determining feeding, egestion, and excretion rates of zooplankton. Limnol. & Oceanogr. (in press).Google Scholar
- 31.A. HASTINGS, (1980): Population dynamics in patchy environments. Lect. Notes Pure Appl. Math. 58, 217–224.MathSciNetMATHGoogle Scholar
- 32.D. VON HOLST, (1974): Soozialer Stress bei Tier und Mensch. Verh. Ges. Ökol., Saarbrücken 1973, 97–106.Google Scholar
- 33.E. HUTCHINSON, (1948): Circular causal systems in ecology. Ann. N.Y. Acad. Sci. 50, 221–246.CrossRefGoogle Scholar
- 34.E. HUTCHINSON, (1954): Theoretical notes on oscillating populations. J. Wildlife Mgmt. 18, 107–109.CrossRefGoogle Scholar
- 35.H. KAUSER, (1975): Dynamics of populations and properties of single individuals. Verh. Ges. Ökol., Erlangen 1974, 25–38.Google Scholar
- 36.N. LEIMEROTH, (1980): Respiration of different stages and energy budgets of juvenile Brachionus calyciflorus. Hydrobiologia 73, 195–197.CrossRefGoogle Scholar
- 37.P.H. LESLIE & T. PARK, (1949): The intrinsic rate of natural increase of Tribolium castaneum HERBST. Ecology 30, 469–477.CrossRefGoogle Scholar
- 38.R.M. MAY, (1974): Stability and complexity in model ecosystems. Monographs in Population Biology 6, 2nd Edition. Princeton, New Jersey.Google Scholar
- 39.R.M. MAY, (1976): Theoretical Ecology — Principals and Applications. Oxford.Google Scholar
- 40.D.H. MEADOWS et al., (1972): The Limits of Growth. New York.Google Scholar
- 41.A.J. NICHOLSON, (1954): An outline of the dynamics of animal populations. Austr. J. Zool. 2, 9–65.CrossRefGoogle Scholar
- 42.A. PARISE, (1966): Ciclo sessuale e dinamica popolazioni di Euchlanis (Rotatoria) in condizioni sperimentali. Arch. Oceanogr. Limnol. 16, 387–411.Google Scholar
- 43.R. PEARL & S.A. GOULD, (1936): Human Biology 8, 399–511.Google Scholar
- 44.I. RECHENBERG, (1973): Evolutionsstrategie. Stuttgart-Bad Cannstatt.Google Scholar
- 45.C. RORRES, (1980): Optimal age-specific harvesting policy for a continuous time-population model. Lect. Notes Pure Appl. Math. 58,239–254.MathSciNetMATHGoogle Scholar
- 46.A. SEITZ & U. HALBACH, (1973): How is the population density regulated? Experimental studies on rotifers and computer simulations. Naturwiss. 60, 51.CrossRefGoogle Scholar
- 47.P.J. WANGERSKY & W.J. CUNNINGHAM, (1957): Time lag in population models. Cold Spr. Harb. Symp. Quant. Biol. 22, 329–338.CrossRefGoogle Scholar
- 48.C. WISSEL, K. BEUTER & U. HALBACH, (1981): Correlation functions for the evaluation of repeated time series with fluctuations. ISEM Journal 3, 11–29.Google Scholar
- 49.D.J. WOLLKIND, A. HASTINGS & J.A. LOGAN, (1980): Models involving differential equations appropriate for describing a temperature dependent predatorprey mite ecosystem on apples. Lect. Notes Pure Appl. Math. 58,255–277.MathSciNetMATHGoogle Scholar
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