Supplement 1. R code to simulate frequency-dependent population growth for specific parameter combinations.

File List annualplant_2spp_stoch_par.r (md5: a26d0a869658e71b0697ba5a1742d9c6) updateN_function.r (md5: d892c5d88a9bf265b7c2cff5055639d7) simul_rare.txt (md5: 72bcbe599e0726ae36c75de30767fd75) Description The annualplant_2spp_stoch_par.r file is the R code written to simulate frequency-dependent population growth. The file updateN_function.r is the population growth function used by annualplant_2spp_stoch_par.r, incorporating demographic stochasticity. The file simul_rare.txt describes all parameter combinations used in the simulations, as well as their deterministic solutions. Column definitions for simul_rare.txt follow: 1 = l1-lambda 1 2 = l2-lambda 2 3 = a11-the intraspecific competition coefficient for species 1, alpha11 4 = a12- the interspecific competition coefficient for species 1, alpha12 5 = a21- the interspecific competition coefficient for species 2, alpha21 6 = a22- the intraspecific competition coefficient for species 2, alpha22 7 = N1- the deterministic abundance of species 1 8 = N2- the deterministic abundance of species 1 9 = E1- the fitness equivalence of species 1 10 = S1- the strength of stabilization experienced by species 1 11 = E2- the fitness equivalence of species 1 12 = S2- the strength of stabilization experienced by species 2 13 = Rare- the relative abundance of species 1 14 = Asy- the difference between S1 and S2 15 = cor- the covariance between stabilization (S1 and S2) and abundance (N1 and N2)