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Billiard edited section_rho__i_are_drawn__.tex
almost 9 years ago
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\section{$\rho_{i}$ are drawn in an approximation of the Fisher's geometrical model and the $\tilde{C_{ij}}$ are drawn in an uniform distribution}
We assumed that $\rho_0=2$ and that $\rho_i=\rho_0 + x_i$ with $x_i$ drawn in a shifted negative Gamma distribution, which is an approximation of a Fisher's geometric model for adaptation \cite{Martin_2006}. We also assumed that $\tilde{C_{ij}}$ are drawn in a Uniform distribution with parameters $1-a$ and $1+a$. When $a=0$ all $\tilde{C_{ij}}=1$, and we expect that there are only transitive fitness interactions. We investigated the effect of $a$.
We begin with the case where $\rho_0$ is supposed to be half the way to optimum in the adaptative landscape.