Literature DB >> 28313123

[Are simple time lags responsible for cyclic variation of population density? : A comparison of laboratory population dynamics of Brachionus calyciflorus pallas (rotatoria) with computer simulations].

Udo Halbach1, Heinz Jürgen Burkhardt1,2.   

Abstract

Laboratory populations of the rotifer Brachionus calyciflorus were cultured at different temperatures (25, 20, 15°C) but otherwise at constant conditions. The population densities showed relatively constant oscillations (Figs. 1 to 3A-C). Amplitudes and frequencies of the oscillations were positively correlated with temperature (Table 1). A test was made, whether the logistic growth function with simple time lag is able to describe the population curves. There are strong similarities between the simulations (Figs. 1-3E) and the real population dynamics if minor adjustments of the empirically determined parameters are made. There-fore it is suggested that time lags are responsible for the observed oscillations. However, the actual time lags probably do not act in the simple manner of the model, because birth and death rates react with different time lags, and both parameters are dependent on individual age and population density. A more complex model, which incorporates these modifications, should lead to a more realistic description of the observed oscillations.

Entities:  

Year:  1972        PMID: 28313123     DOI: 10.1007/BF00345232

Source DB:  PubMed          Journal:  Oecologia        ISSN: 0029-8549            Impact factor:   3.225


  5 in total

1.  ON TIME LAGS IN EQUATIONS OF GROWTH.

Authors:  P J Wangersky; W J Cunningham
Journal:  Proc Natl Acad Sci U S A       Date:  1956-09       Impact factor: 11.205

2.  A NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATION OF GROWTH.

Authors:  W J Cunningham
Journal:  Proc Natl Acad Sci U S A       Date:  1954-08       Impact factor: 11.205

3.  Circular causal systems in ecology.

Authors:  G E HUTCHINSON
Journal:  Ann N Y Acad Sci       Date:  1948-10-13       Impact factor: 5.691

4.  [Influence of temperature on the population dynamics of the rotifer Brachionus calyciflorus pallas].

Authors:  Udo Halbach
Journal:  Oecologia       Date:  1970-06       Impact factor: 3.225

5.  [The adaptive value of cyclomorphic spine production in Brachionus calyciflorus pallas (rotatoria) : I. Predator-prey relationships in short term experiments].

Authors:  Udo Halbach
Journal:  Oecologia       Date:  1971-09       Impact factor: 3.225

  5 in total
  4 in total

1.  On a transcendental equation in the stability analysis of a population growth model.

Authors:  H O Walther
Journal:  J Math Biol       Date:  1976-06-30       Impact factor: 2.259

2.  Cooperation, optimal density and low density thresholds: yet another modification of the logistic model.

Authors:  Jürgen Jacobs
Journal:  Oecologia       Date:  1984-11       Impact factor: 3.225

3.  A model approach to the population dynamics of the rotifer Brachionus rubens in two-stage chemostat culture.

Authors:  Karl Otto Rothhaupt
Journal:  Oecologia       Date:  1985-01       Impact factor: 3.225

4.  Existence of a non-constant periodic solution of a non-linear autonomous functional differential equation representing the growth of a single species population.

Authors:  Hans-Otto Walther
Journal:  J Math Biol       Date:  2017-03-15       Impact factor: 2.259

  4 in total

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