Sensitivity analysis script for: Why so many polyploids?

While polyploids are common in nature, existing models suggest that
polyploid establishment should be difficult and rare. We explore this
apparent paradox by focusing on the role of unreduced gametes, as their
union is the main route for formation of neopolyploids. Production of such
gametes is affected by genetic and environmental factors, resulting in
variation in the formation rate of unreduced gametes (u). Once formed,
neopolyploids face minority cytotype exclusion (MCE) due to a lack of
viable mating opportunities. More than a dozen theoretical models have
explored factors that could permit neopolyploids to overcome minority
cytotype exclusion and become established. Until now, however, none have
explored variability in u and its consequences for the rate of polyploid
establishment. Here, we determine the distribution that best fits
available empirical data on u. We perform a global sensitivity analysis
exploring the consequences of using empirical distributions of u to
investigate effects on polyploid establishment. We determined in many
cases u is best fit by a log-normal distribution. We found environmental
stochasticity in u dramatically impacts model predictions when compared to
a static u. Our results help reconcile previous modeling results
suggesting high barriers to polyploid establishment with the observation
that polyploids are common in nature.­­­­­