Time Delays, Density-Dependence and Single-Species Oscillations

10.2307/3535 ◽  
1974 ◽  
Vol 43 (3) ◽  
pp. 747 ◽  
Author(s):  
R. M. May ◽  
G. R. Conway ◽  
M. P. Hassell ◽  
T. R. E. Southwood
Keyword(s):  
Density Dependence ◽  
Time Delays ◽  
Single Species

scholarly journals Approximate stationary densities, and parameter estimations for time-delayed stochastic logistic growth laws

2007 ◽  
Vol 47 ◽  
Author(s):  
Petras Rupšys
Keyword(s):  
Growth Model ◽  
Time Delays ◽  
Single Species ◽  
Small Time ◽  
Logistic Growth ◽  
Estimation Of Parameters ◽  
Stationary Distributions ◽  
Parameter Estimations ◽  
Growth Laws ◽  
Delayed Growth

We consider stochastic logistic type delayed growth model (Verhulst, Gompertz, Richards) of a single species population.The objective of this paper is to deduce a procedureon the estimation of parameters. We derive approximate stationary distributions in the case of small time delays. For the estimate of parameters we apply the L1 distance procedure. We propose approximate estimations of the parameters.

Population growth and density dependence

2019 ◽  
pp. 63-80
Author(s):  
Gary G. Mittelbach ◽  
Brian J. McGill
Keyword(s):  
Population Growth ◽  
Density Dependence ◽  
Growth Model ◽  
Species Interactions ◽  
Single Species ◽  
Positive Density ◽  
Allee Effects ◽  
Species Population ◽  
Exponential Growth Model ◽  
Single Species Population

This chapter reviews the basic mathematics of population growth as described by the exponential growth model and the logistic growth model. These simple models of population growth provide a foundation for the development of more complex models of species interactions covered in later chapters on predation, competition, and mutualism. The second half of the chapter examines the important topic of density-dependence and its role in population regulation. The preponderance of evidence for negative density-dependence in nature is reviewed, along with examples of positive density dependence (Allee effects). The study of density dependence in single-species populations leads naturally to the concept of community-level regulation, the idea that species richness or the total abundance of individuals in a community may be regulated just like abundance in a single-species population. The chapter concludes with a look at the evidence for community regulation in nature and a discussion of its importance.

scholarly journals Density-Dependence in Single-Species Populations

10.2307/3863 ◽  
1975 ◽  
Vol 44 (1) ◽  
pp. 283 ◽  
Author(s):  
M. P. Hassell
Keyword(s):  
Density Dependence ◽  
Single Species

Density dependence, regulation and variability in animal populations

1990 ◽  
Vol 330 (1257) ◽  
pp. 141-150 ◽  
Keyword(s):  
Density Dependence ◽  
Population Regulation ◽  
Time Series Data ◽  
Complex Dynamics ◽  
Natural Populations ◽  
Single Species ◽  
Abundant Species ◽  
Series Data ◽  
Animal Populations ◽  
The Common

This paper reviews a series of approaches to the study of density dependence, regulation and variability in terrestrial animals, by using single-species, multispecies and life table time series data. Special emphasis is given to the degree of density dependence in the level of variability, which is seldom discussed in this context, but which is conceptually related to population regulation. Broad patterns in density dependence, regulation and variability in vertebrates and arthropods are described, with some more specific results for moths and aphids. Vertebrates have generally less variable populations than arthropods, which is the only well documented, consistent pattern in population variability. The degree of density dependence of variability is negatively correlated with the average level of variability, suggesting that generally the more regulated populations are less variable. Most population studies, especially on insects, have involved outbreak species with complex dynamics, which may explain the common failures to detect density dependence in natural populations. In British moths, density dependence is less obvious in the more abundant species. The study of uncommon and rare species remains a major challenge for population ecology.

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