集体感知的进化价值
Evolutionary value of collective sensing
摘要:
本文提出了一个随机变化环境中种群集体感知的数学模型。在种群中,个体使用一个信息通道来感知环境,使用两个信号产生和理解通道来进行相互交流。我们证明了这样的系统的存在对种群增长有积极的影响,因此可以有一个积极的进化效果。我们发现,由于集体感知的增长的增益是相关的信息理论的实体,这可以被认为是这个系统的信息内容从环境。我们进一步表明,在通信网络或空间结构造成的异质性增加增长。我们计算的增长率的人口居住在一个格子,并表明,增长率附近的最大噪声水平的观察或通信,指数增加噪声减少。这种指数效应使得集体观察的出现成为进化过程中的一个简单结果。此外,我们能够量化有趣的影响,如加速增长,以及由于通信信息放大而简化决策。最后,我们表明,在表示形成的噪声量有更多的不利影响相比,相同的噪声在信号产生。
英文摘要:
We propose a mathematical model for collective sensing in a population growing in a stochastically varying environment. In the population, individuals use an information channel for sensing the environment, and two channels for signal production and comprehension to communicate among themselves. We show that existence of such system has a positive effect on population growth, hence can have a positive evolutionary effect. We show that the gain in growth due to the collective sensing is related to information theoretic entities, which can be considered as the information content of this system from the environment. We further show that heterogeneity in communication resulted from network or spatial structure increases growth. We compute the growth rate of a population residing on a lattice and show that growth rate near the maximum noise level in observation or communication, increases exponentially as noise decreases. This exponential effect makes the emergence of collective observation an easy outcome in an evolutionary process. Furthermore, we are able to quantify interesting effects such as accelerated growth, and simplification of decision making due to information amplification by communication. Finally, we show that an amount of noise in representation formation has more disadvantageous effect compared to the same noise in signal production.
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