LAPSE:2018.0279v1
Published Article
LAPSE:2018.0279v1
Stochasticity in the Parasite-Driven Trait Evolution of Competing Species Masks the Distinctive Consequences of Distance Metrics
July 31, 2018
Abstract
Various distance metrics and their induced norms are employed in the quantitative modeling of evolutionary dynamics. Minimization of these distance metrics, when applied to evolutionary optimization, are hypothesized to result in different outcomes. Here, we apply the different distance metrics to the evolutionary trait dynamics brought about by the interaction between two competing species infected by parasites (exploiters). We present deterministic cases showing the distinctive selection outcomes under the Manhattan, Euclidean, and Chebyshev norms. Specifically, we show how they differ in the time of convergence to the desired optima (e.g., no disease), and in the egalitarian sharing of carrying capacity between the competing species. However, when randomness is introduced to the population dynamics of parasites and to the trait dynamics of the competing species, the distinctive characteristics of the outcomes under the three norms become indistinguishable. Our results provide theoretical cases of when evolutionary dynamics using different distance metrics exhibit similar outcomes.
Various distance metrics and their induced norms are employed in the quantitative modeling of evolutionary dynamics. Minimization of these distance metrics, when applied to evolutionary optimization, are hypothesized to result in different outcomes. Here, we apply the different distance metrics to the evolutionary trait dynamics brought about by the interaction between two competing species infected by parasites (exploiters). We present deterministic cases showing the distinctive selection outcomes under the Manhattan, Euclidean, and Chebyshev norms. Specifically, we show how they differ in the time of convergence to the desired optima (e.g., no disease), and in the egalitarian sharing of carrying capacity between the competing species. However, when randomness is introduced to the population dynamics of parasites and to the trait dynamics of the competing species, the distinctive characteristics of the outcomes under the three norms become indistinguishable. Our results provide theoretical cases of when evolutionary dynamics using different distance metrics exhibit similar outcomes.
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Keywords
Chebyshev norm, egalitarianism, Euclidean norm, evolutionary dynamics, exploitation, Manhattan norm, parasitism, quantitative trait
Subject
Suggested Citation
Buhat CAH, Talabis DASJ, Cueno AL, Gavina MKA, Babierra AL, Cuaresma GA, Rabajante JF. Stochasticity in the Parasite-Driven Trait Evolution of Competing Species Masks the Distinctive Consequences of Distance Metrics. (2018). LAPSE:2018.0279v1
Author Affiliations
Buhat CAH: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines
Talabis DASJ: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines
Cueno AL: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines
Gavina MKA: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines; Graduate School of Science and Technology, Shizuoka University, 3-5-1 Johoku, Naka-ku, Hamamatsu 432-8561, Japan
Babierra AL: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines
Cuaresma GA: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines
Rabajante JF: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines [ORCID]
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Talabis DASJ: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines
Cueno AL: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines
Gavina MKA: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines; Graduate School of Science and Technology, Shizuoka University, 3-5-1 Johoku, Naka-ku, Hamamatsu 432-8561, Japan
Babierra AL: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines
Cuaresma GA: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines
Rabajante JF: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines [ORCID]
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Journal Name
Processes
Volume
5
Issue
4
Article Number
E74
Year
2017
Publication Date
2017-11-17
ISSN
2227-9717
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PII: pr5040074, Publication Type: Journal Article
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LAPSE:2018.0279v1
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https://doi.org/10.3390/pr5040074
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