Fig. 9From: Effects of reproductive resource allocation and pollen density on fertilization success in plantsCurves \(g(\alpha ,b)=b^{1{-}\alpha }\left( \alpha \ln (b){-}1\right) +1\) as functions of \(\alpha\) for different values of b (upper panel) and as functions of b for different values of \(\alpha\) (lower panel). For given b, the optimal sexual allocation \(\hat{\alpha }\) is the value of \(\alpha\) for which \(g(\alpha ,b)\) equals 0. Whereas \(\hat{\alpha }\) exists for every \(b{\in }(0,1)\) and is greater than 0.5, only for \(\alpha {>}0.5\) is there a b for which \(g(\alpha ,b){=}0\). The optimum \(\hat{\alpha }\) increases as b decreasesBack to article page