Adaptive strategy in Kelly's horse races model

Armand, Despons,; Lacoste, David; Peliti, Luca

doi:10.48550/arxiv.2201.03387

Cited by 2 publications

(2 citation statements)

References 14 publications

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“…It would be interesting to explore further extensions of our framework to cases where sensing is present and where more phenotypic states are available. As a first step towards including sensing, one of us recently studied adaptive strategies in Kelly's model [32]. If these ideas can be extended to the problem of populations facing unpredictable environments, one may obtain from them an understanding of the adaptation process at the information level, comparable to what has already been achieved for gambling models.…”

Section: Discussionmentioning

confidence: 99%

Pareto-optimal trade-off for phenotypic switching of populations in a stochastic environment

Dinís¹,

Unterberger²,

Lacoste³

2022

J. Stat. Mech.

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Finding optimal survival strategies of living systems embedded in fluctuating environments generally involves a balance between phenotypic diversification and sensing. If we neglect sensing mechanisms, it is known that slow, resp. fast, environmental transitions favor a regime of heterogeneous, resp. homogeneous, phenotypic response. We focus here on the simplest non-trivial case, i.e. two randomly switching phenotypes subjected to two stochastically switching environments. The optimal asymptotic (long term) growth rate of this model was studied elsewhere; we further expand these results by discussing finite time growth rate fluctuations. An exact asymptotic expression for the variance, alongside with approximations valid in different regimes, are tested numerically in details. Our simulations of the dynamics suggest a close connection between this variance and the extinction probability, understood as risk for the population. Motivated by an earlier trade-off analysis between average capital growth rate and risk in Kelly’s gambling model, we study the trade-off between the average growth rate and the variance in the present model. Despite considerable differences between the two models, we find similar optimal trade-off curves (Pareto fronts), suggesting that our conclusions are robust, and broadly applicable in various fields ranging from biology/ecology to economics.

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Section: Discussionmentioning

confidence: 99%

Pareto-optimal trade-off for phenotypic switching of populations in a stochastic environment

Dinís¹,

Unterberger²,

Lacoste³

2022

J. Stat. Mech.

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“…This is followed by a phase where the effects of selection become visible and average fitness increases roughly linearly. These fitness trajectories are reminiscent of the dynamics of learning through adaptive strategies in gambling problems, where an initial phase of loss of capital due to the cost of learning is followed by recovery Despons et al [2022]. Two numbers indicate the point in the trajectory at which selection leads to consistent improvement in fitness: minimum average fitness and time at which minimum fitness is achieved (Fig.…”

Section: Fitness Trajectories Involve a Transition From A Mutation Do...mentioning

confidence: 99%

Gene Birth in a Model of Non-genic Adaptation

Mani

Tlusty²

2022

Preprint

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Over evolutionary timescales, genomic loci switch between functional and non-functional states through processes such as pseudogenization and de novo gene birth. Here we ask about the likelihood and rate of functionalization of non-functional loci. We simulate an evolutionary model to look at the contributions of mutations and structural variation using biologically reasonable distributions of mutational effects. We find that a wide range of mutational effects are conducive to functionalization, thus indicating the ubiquity of this process. During functionalization, loci transition from a mutation dominated 'learning' phase to a selection dominated adaptation phase. Interestingly, in the special case of de novo gene birth, whereby non-functional loci begin to express a functional product, we find that expression level changes lead to rare, extreme jumps in fitness, whereas sustained adaptation is driven by product functionality. Our work supports the idea that the potential for adaptation is spread widely across the genome, and our results offer mechanistic insights into the process of de novo gene birth.

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Adaptive strategy in Kelly's horse races model

Cited by 2 publications

References 14 publications

Pareto-optimal trade-off for phenotypic switching of populations in a stochastic environment

Pareto-optimal trade-off for phenotypic switching of populations in a stochastic environment

Gene Birth in a Model of Non-genic Adaptation

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