Stochastic and information-thermodynamic structures of population dynamics in a fluctuating environment
Stochastic and information-thermodynamic structures of population dynamics in a fluctuating environment
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波动环境中种群动态的随机和信息热力学结构
DOI：
10.1103/physreve.96.012402
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发表时间：
2017
影响因子：
2.4
通讯作者：
Yuki Sughiyama
中科院分区：
文献类型：
--
作者：
Testuya J. Kobayashi;Yuki Sughiyama
在多变的环境中适应是一个为环境信息加油以获得健康的过程。生命系统逐渐发展了适应策略，从随机和被动的表型多样化转向更主动的决策，在这种决策中，环境信息被更积极和有效地感知和利用。因此，了解适应性和信息之间的基本关系对于澄清适应的限度和普遍性质至关重要。在这项工作中，我们通过推导适应度和信息的因果涨落关系(FR)来阐明这一过程中潜在的随机和信息热力学结构。结合表型和环境动力学的二元性，FRS揭示了适应度增益的极限，时间可逆性与极限的可达性的关系，以及由于环境波动而获得过量适应度的可能性和条件。由于因果约束和真实生物体能力有限而造成的适应度损失被证明是表型和环境动力学的时间向前和时间向后路径概率之间的差异。此外，FRS推广了波动环境的进化稳定状态(ESS)的概念，给出了由于罕见的环境波动，最优策略平均可能被次优策略入侵的概率。这些结果阐明了适应和进化中的信息热力学结构。
Adaptation in a fluctuating environment is a process of fueling environmental information to gain fitness. Living systems have gradually developed strategies for adaptation from random and passive diversification of the phenotype to more proactive decision making, in which environmental information is sensed and exploited more actively and effectively. Understanding the fundamental relation between fitness and information is therefore crucial to clarify the limits and universal properties of adaptation. In this work, we elucidate the underlying stochastic and information-thermodynamic structure in this process, by deriving causal fluctuation relations (FRs) of fitness and information. Combined with a duality between phenotypic and environmental dynamics, the FRs reveal the limit of fitness gain, the relation of time reversibility with the achievability of the limit, and the possibility and condition for gaining excess fitness due to environmental fluctuation. The loss of fitness due to causal constraints and the limited capacity of real organisms is shown to be the difference between time-forward and time-backward path probabilities of phenotypic and environmental dynamics. Furthermore, the FRs generalize the concept of the evolutionary stable state (ESS) for fluctuating environment by giving the probability that the optimal strategy on average can be invaded by a suboptimal one owing to rare environmental fluctuation. These results clarify the information-thermodynamic structures in adaptation and evolution.