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The dynamics of the lottery model (a) for a population of species 1 (shown in green) in the presence of a competitor (in purple) with and without the ability to detect an environmental cue that helps it predict favourable environmental conditions for germination (see Box 2 for model description). (b) The environment is simulated by taking draws from a normal distribution to set the conditions for each time step, without autocorrelation (μ = 0.5 and σ = 0.1, b). Each species (green and purple lines) has a different optimum environment modelled as Gaussian curves so that reproductive fitness decays with the distance of an environmental state from the optimum. (c) The varying environmental state, reproduction, and germination rates are simulated as a time series. When germination is informed (because 𝜌i(E|C) is high) then germination rates match closely to the reproduction rates in that year, as seen in the solid germination lines. When germination is not informed then there is no correlation between germination rates and reproduction; this is seen by comparing the dotted germination lines to the reproduction rates. See the Appendix S1 for simulation code.

The dynamics of the lottery model (a) for a population of species 1 (shown in green) in the presence of a competitor (in purple) with and without the ability to detect an environmental cue that helps it predict favourable environmental conditions for germination (see Box 2 for model description). (b) The environment is simulated by taking draws from a normal distribution to set the conditions for each time step, without autocorrelation (μ = 0.5 and σ = 0.1, b). Each species (green and purple lines) has a different optimum environment modelled as Gaussian curves so that reproductive fitness decays with the distance of an environmental state from the optimum. (c) The varying environmental state, reproduction, and germination rates are simulated as a time series. When germination is informed (because 𝜌i(E|C) is high) then germination rates match closely to the reproduction rates in that year, as seen in the solid germination lines. When germination is not informed then there is no correlation between germination rates and reproduction; this is seen by comparing the dotted germination lines to the reproduction rates. See the Appendix S1 for simulation code.

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Information processing is increasingly recognized as a fundamental component of life in variable environments, including the evolved use of environmental cues, biomolecular networks, and social learning. Despite this, ecology lacks a quantitative framework for understanding how population, community, and ecosystem dynamics depend on information pro...

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... temperature, humidity and light) or biotic (e.g. conspecifics' density, presence and density of heterospecifics like competitors, resource/prey or predators/parasites) [52] and can be acquired via visual, auditory, olfactory, chemical or haptic cues. Information can also be transmitted by ascendants [53,54] or other (unrelated) individuals. ...
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... In animals with overlapping generations and social learning, the effect on range shifts could be stronger and transgenerational. Learning about novel resources can be considered in the concept of the 'fitness value of information', which quantifies how species' per capita population growth rates can depend on the use of information in their environment (Usinowicz & O'Connor, 2023). ...
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... The fitness value of information has been recently proposed in an ecological setting, investigating the role of information in species growth using population distributions as proxy for probability measures [35]. We note that while the KW18 paper outlines the formalism for semantic information, there is yet to be any application of their framework in a biological setting, or indeed in any realistic individual organism model. ...
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We explore the application of a theory of semantic information to the well-motivated problem of resource foraging. Semantic information is defined as the subset of correlations, which is here measured via the transfer entropy, between agent A and environment E that is necessary for the agent to maintain its viability V. Viability, in turn, is endogenously defined as opposed to the use of exogenous quantities like utility functions. In our model, the forager's movements are determined by its ability to measure, via a sensor, the presence of an individual unit of resource, while the viability function is its expected lifetime. Through “interventions”—scrambling the correlations between agent and environment by noising the sensor—we demonstrate the presence of a critical value of the noise parameter, ηc, above which the forager's expected lifetime is dramatically reduced. On the other hand, for η<ηc there is little to no effect on its ability to survive. We refer to this boundary as the semantic threshold, quantifying the subset of agent-environment correlations that the agent actually needs to maintain its desired state of staying alive. Each bit of information affects the agent's ability to persist both above and below the semantic threshold. Modeling the viability curve and its semantic threshold via forager and/or environment parameters, we show how the correlations are instantiated. Our work demonstrates the successful application of semantic information to a well-known agent-based model of biological and ecological interest. Additionally, we demonstrate that the concept of semantic thresholds may prove useful for understanding the role information plays in allowing systems to become autonomous agents.