Fig. 8.

Robustness of reduced model under random parameter fluctuations. For networks $A$ (A and B) and $B$ (C and D), ensemble-averaged pollinator abundance (A and C) vs. $f_n$ and ensemble-averaged plant abundance (B and D) vs. $f_l$. The legends are the same as in Fig. 3. The notions SH and SL stand values of the original average species abundance, respectively. UWAH, UWAL, DWAH, DWAL, EWAH, and EWAL denote unweighted average high, unweighted average low, degree-weighted average high, degree-weighted average low, eigenvalue-weighted average high, and eigenvalue-weighted average low, respectively. The parameters are $h=0.2$, $t=0.5$, ${\alpha }_i^{(A)}={\alpha }_i^{(P)}=-0.3$, ${\mu }_A={\mu }_P={10}^{-4}$, ${\gamma }_0=1.0$, and $\kappa =0$. Random parameter fluctuations occur in the intraspecific competition rates: ${\beta }_{ii}^{(A)}={\beta }_{ii}^{(P)}\in U(0.7,1.3)$, where $U$ stands for uniform distribution.