108 research outputs found

    Evolutionary Entropy Determines Invasion Success in Emergent Epidemics

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    Background: Standard epidemiological theory claims that in structured populations competition between multiple pathogen strains is a deterministic process which is mediated by the basic reproduction number (R0) of the individual strains. A new theory based on analysis, simulation and empirical study challenges this predictor of success. Principal Findings: We show that the quantity R0 is a valid predictor in structured populations only when size is infinite. In this article we show that when population size is finite the dynamics of infection by multi-strain pathogens is a stochastic process whose outcome can be predicted by evolutionary entropy, S, an information theoretic measure which describes the uncertainty in the infectious age of an infected parent of a randomly chosen new infective. Evolutionary entropy characterises the demographic stability or robustness of the population of infectives. This statistical parameter determines the duration of infection and thus provides a quantitative index of the pathogenicity of a strain. Standard epidemiological theory based on R0 as a measure of selective advantage is the limit as the population size tends to infinity of the entropic selection theory. The standard model is an approximation to the entropic selection theory whose validity increases with population size. Conclusion: An epidemiological analysis based on entropy is shown to explain empirical observations regarding the emergence of less pathogenic strains of human influenza during the antigenic drift phase. Furthermore, we exploit th

    On the Macroscopic Origins and Consequences of Economic Inequality: An Evolutionary Perspective *

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    Abstract Income inequality can vary rather dramatically across societies. While in some countries the average income of the richest 10% does not exceed 5 or 6 times that of the poorest 10%, in others the same ratio can reach up to 90 or 100. Moreover, such differences can persist and even increase over long periods of time. In order to address such facts, we develop a theory, based on socio-cultural evolution, that highlights the stability and heterogeneity of a society's economic environment as a fundamental source of long-term inequality. We show that steady and diverse economic environments provide a selective advantage for cooperative or mutualistic behavior, thereby generating economic equality, whereas fluctuating and singular ones favor selfish behavior, thereby inducing economic inequality. We also show that more equal societies exhibit a higher degree of income and social mobility and are more resilient and robust in the sense of being quicker to recover from shocks and to return to normalcy than unequal ones. We thus provide a rationale for the emergence of inequality, its persistence and negative correlation with income and social mobility, and highlight its role in determining the fragility and robustness of a society. Recent empirical evidence for our main results and policy implications to promote cooperation and equality are also briefly discussed

    Evolutionary Entropy: A Predictor of Body Size, Metabolic Rate and Maximal Life Span

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    Body size of organisms spans 24 orders of magnitude, and metabolic rate and life span present comparable differences across species. This article shows that this variation can be explained in terms of evolutionary entropy, a statistical parameter which characterizes the robustness of a population, and describes the uncertainty in the age of the mother of a randomly chosen newborn. We show that entropy also has a macroscopic description: It is linearly related to the logarithm of the variables body size, metabolic rate, and life span. Furthermore, entropy characterizes Darwinian fitness, the efficiency with which a population acquires and converts resources into viable offspring. Accordingly, entropy predicts the outcome of natural selection in populations subject to different classes of ecological constraints. This predictive property, when integrated with the macroscopic representation of entropy, is the basis for enormous differences in morphometric and life-history parameters across species

    Cancer as a dynamical phase transition

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