Further, the experimental data has been compared and correlated with the empirically drawn values to cross examine the potential.
To determine whether resulting estimates of effective population size, migration rate, and divergence time were significantly different from one another, we used a probability assessment method [40] based on comparisons of randomly drawn values from resulting marginal distributions.
Simulations were replicated with randomly drawn values for the parameters environment carrying capacity (K) and net reproductive output (NRO, the expected number of offspring per female).
Chance-constrained optimization can be emulated by repeatedly solving the fixed constraint (deterministic) optimization problem in which the constraint parameters (Ca p j u or Ca p j d ) are set to randomly drawn values using a MC sampling procedure for each instance of the problem.
For example, the data augmentation algorithm of Tanner and Wong [ 21] draws missing values from the posterior predictive distribution x mis ∗ ∼ p (x mis ∣ x obs, θ∗) and then draws θ from the complete data posterior θ∗ ∼ p (θ ∣ x obs, x mis ∗), where ∗ denotes the last drawn values of θ or x mis.
For each set, we estimated the Gumbel distribution parameters based on the random drawn values.
