Preprint Article Version 1 This version not peer reviewed

Stochasticity in the Parasite-Driven Trait Evolution of Competing Species Masks the Distinctive Consequences of Distance Metrics

Version 1 : Received: 14 October 2017 / Approved: 16 October 2017 / Online: 16 October 2017 (07:35:46 CEST)

A peer-reviewed article of this Preprint also exists.

Buhat, C.A.H.; Talabis, D.A.S.J.; Cueno, A.L.; Gavina, M.K.A.; Babierra, A.L.; Cuaresma, G.A.; Rabajante, J.F. Stochasticity in the Parasite-Driven Trait Evolution of Competing Species Masks the Distinctive Consequences of Distance Metrics. Processes 2017, 5, 74. Buhat, C.A.H.; Talabis, D.A.S.J.; Cueno, A.L.; Gavina, M.K.A.; Babierra, A.L.; Cuaresma, G.A.; Rabajante, J.F. Stochasticity in the Parasite-Driven Trait Evolution of Competing Species Masks the Distinctive Consequences of Distance Metrics. Processes 2017, 5, 74.

Journal reference: Processes 2017, 5, 74
DOI: 10.3390/pr5040074

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 when evolutionary dynamics using different distance metrics exhibit similar outcomes.

Subject Areas

evolutionary dynamics; quantitative trait; Manhattan norm; Euclidean norm; Chebyshev norm; parasitism; exploitation; egalitarianism

Readers' Comments and Ratings (0)

Leave a public comment
Send a private comment to the author(s)
Rate this article
Views 0
Downloads 0
Comments 0
Metrics 0
Leave a public comment

×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.