caa a22 4500 44539174X CHVBK 20180317143048.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10955-011-0166-2 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0166-2 The Value of Information for Populations in Varying Environments [Elektronische Daten] [Olivier Rivoire, Stanislas Leibler] The notion of information pervades informal descriptions of biological systems, but formal treatments face the problem of defining a quantitative measure of information rooted in a concept of fitness, which is itself an elusive notion. Here, we present a model of population dynamics where this problem is amenable to a mathematical analysis. In the limit where any information about future environmental variations is common to the members of the population, our model is equivalent to known models of financial investment. In this case, the population can be interpreted as a portfolio of financial assets and previous analyses have shown that a key quantity of Shannon's communication theory, the mutual information, sets a fundamental limit on the value of information. We show that this bound can be violated when accounting for features that are irrelevant in finance but inherent to biological systems, such as the stochasticity present at the individual level. This leads us to generalize the measures of uncertainty and information usually encountered in information theory. Springer Science+Business Media, LLC, 2011 Information nationallicence Regulation nationallicence Fitness nationallicence Population dynamics nationallicence Branching processes nationallicence Control nationallicence Investment nationallicence Rivoire Olivier LIPhy UMR 5588, CNRS, Grenoble, France aut Leibler Stanislas Laboratory of Living Matter, The Rockefeller University, New York, NY, USA aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/6(2011-04-01), 1124-1166 0022-4715 142:6<1124 2011 142 10955 https://doi.org/10.1007/s10955-011-0166-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0166-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rivoire Olivier LIPhy UMR 5588, CNRS, Grenoble, France aut NATIONALLICENCE 700 1- Leibler Stanislas Laboratory of Living Matter, The Rockefeller University, New York, NY, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/6(2011-04-01), 1124-1166 0022-4715 142:6<1124 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer