The average degree of redundancy equals the normalized sum of single-source mutual informations, and the average degree of vulnerability equals the normalized sum of leave-one-out conditional mutual informations.
Quantifying Hierarchical Selection
1 Pith paper cite this work. Polarity classification is still indexing.
abstract
At what level does selective pressure effectively act? When considering the reproductive dynamics of interacting and mutating agents, it has long been debated whether selection is better understood by focusing on the individual or if hierarchical selection emerges as a consequence of joint adaptation. Despite longstanding efforts in theoretical ecology there is still no consensus on this fundamental issue, most likely due to the difficulty in obtaining adequate data spanning sufficient number of generations and the lack of adequate tools to quantify the effect of hierarchical selection. Here we capitalise on recent advances in information-theoretic data analysis to advance this state of affairs by investigating the emergence of high-order structures -- such as groups of species -- in the collective dynamics of the Tangled Nature model of evolutionary ecology. Our results show that evolutionary dynamics can lead to clusters of species that act as a selective group, that acquire information-theoretic agency. Overall, our findings provide quantitative evidence supporting the relevance of high-order structures in evolutionary ecology, which can emerge even from relatively simple processes of adaptation and selection.
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Shannon invariants: A scalable approach to information decomposition
The average degree of redundancy equals the normalized sum of single-source mutual informations, and the average degree of vulnerability equals the normalized sum of leave-one-out conditional mutual informations.