Determinism, noise, and spurious estimations in a generalised model of population growth

H. de Vladar, I. Pen, Physica A 373 (2007) 477–485.


Journal Article | Published | English
Author
Abstract
We study a generalised model of population growth in which the state variable is population growth rate instead of population size. Stochastic parametric perturbations, modelling phenotypic variability, lead to a Langevin system with two sources of multiplicative noise. The stationary probability distributions have two characteristic power-law scales. Numerical simulations show that noise suppresses the explosion of the growth rate which occurs in the deterministic counterpart. Instead, in different parameter regimes populations will grow with "anomalous" stochastic rates and (i) stabilise at "random carrying capacities", or (ii) go extinct in random times. Using logistic fits to reconstruct the simulated data, we find that even highly significant estimations do not recover or reflect information about the deterministic part of the process. Therefore, the logistic interpretation is not biologically meaningful. These results have implications for distinct model-aided calculations in biological situations because these kinds of estimations could lead to spurious conclusions. (c) 2006 Elsevier B.V. All rights reserved.
Publishing Year
Date Published
2007-01-01
Journal Title
Physica A
Volume
373
Page
477 - 485
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Cite this

de Vladar H, Pen I. Determinism, noise, and spurious estimations in a generalised model of population growth. Physica A. 2007;373:477-485. doi:10.1016/j.physa.2006.06.025
de Vladar, H., & Pen, I. (2007). Determinism, noise, and spurious estimations in a generalised model of population growth. Physica A, 373, 477–485. https://doi.org/10.1016/j.physa.2006.06.025
Vladar, Harold de, and I. Pen. “Determinism, Noise, and Spurious Estimations in a Generalised Model of Population Growth.” Physica A 373 (2007): 477–85. https://doi.org/10.1016/j.physa.2006.06.025.
H. de Vladar and I. Pen, “Determinism, noise, and spurious estimations in a generalised model of population growth,” Physica A, vol. 373, pp. 477–485, 2007.
de Vladar H, Pen I. 2007. Determinism, noise, and spurious estimations in a generalised model of population growth. Physica A. 373, 477–485.
de Vladar, Harold, and I. Pen. “Determinism, Noise, and Spurious Estimations in a Generalised Model of Population Growth.” Physica A, vol. 373, Elsevier, 2007, pp. 477–85, doi:10.1016/j.physa.2006.06.025.
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