Fig. 4

Compensation by adjusting sexual allocation: For parameters \(R = 5000\), \(r_f = 10\), \(r_m = 1\), \(w = 1\), \(h = 10000\), the colored areas show where adjustment of the sexual allocation \(\alpha ^\circ\) can compensate for the loss of fertilized ovules when resources decline to \(R = q{\cdot }R\). If \(q = 0.8\), for example, and if \(\alpha ^\circ\) lies within the range of any of the colors, then there exist two allocations \(\alpha _1\) and \(\alpha _2\) whose expectation \(E(F^{*\prime })\) equals the original expectation \(E(F^*)\) for \(\alpha ^\circ\). This is illustrated for \(\alpha ^\circ = 0.35\) and \(q = 0.8\) (red lines). If \(q = 0.6\), such compensation is possible only if \(\alpha ^\circ\) lies within the magenta or light blue range. If \(q = 0.4\), compensation is possible only if \(\alpha ^\circ\) lies within the light blue range. Otherwise, compensation is not possible by adjusting the allocation