12915_2017_437_MOESM3_ESM.docx (1.55 MB)
Additional file 3: Figure S3. of Sexual conflict explains the extraordinary diversity of mechanisms regulating mitochondrial inheritance
journal contribution
posted on 2017-10-26, 05:00 authored by Arunas Radzvilavicius, Nick Lane, Andrew PomiankowskiAlternative sampling does not affect the qualitative outcome of the model. Pairwise invasibility plots (PIPs) for the maternal allele controlling paternal leakage π. (a) Sampling without replacement from both gametes. The maternal transition matrix is Φ i , j π = j i − j M − j 1 − π M − i + j M 1 − π M − 1 $$ {\Phi}_{i,j}^{\left(\pi \right)}=\left(\begin{array}{c}j\\ {}i-j\end{array}\right)\left(\begin{array}{c}M-j\\ {}\left[1-\pi \right]M-i+j\end{array}\right){\left(\begin{array}{c}M\\ {}\left[1-\pi \right]M\end{array}\right)}^{-1} $$ while the paternal matrix Φ i,j (π) remains the same as in Eq. (7). (b) PIP produced with the original sampling method (Eqs. (6) and (7)). (c) PIP for sampling with replacement from both gametes. The paternal transition matrix is Ψ i , j π = π M i j M i 1 − j M π M − i $$ {\Psi}_{i,j}^{\left(\pi \right)}=\left(\begin{array}{c}\pi M\\ {}i\end{array}\right){\left(\frac{j}{M}\right)}^i{\left(1-\frac{j}{M}\right)}^{\pi M-i} $$ while the maternal sampling remains the same as in Eq. (6). (d–f) PIPs for the paternal allele controlling paternal leakage π. (d) Sampling without replacement from both gametes. (e) PIP produced with the original sampling method (Eqs. (6) and (7)). (f) PIP for sampling with replacement from both gametes. (DOCX 1590 kb)