Waiting times on a flatter landscape: sigma_c ~ sigma_k. Waiting times are dominated by the number of times phase 3 collapses: the established invader in a dimorphic population (right panels). Collapse of phase 2: collapse of the dimorphism before third population can establish is much rarer (about an order of magnitude).
from the run3 dataset, with parameters.
Narrower gap, steeper landscape
with sigma_c << sigma_k, branching is easy, neither phase is particularly limiting, though single collapses from both phases are very common.
from the run4 dataset.
Slower mutation, bigger steps
Trying flat landscape with smaller mu, larger sigma_mu, see if phase 2 becomes limiting. (run5 dataset). Pars: mu = 5e-4, sigma_mu = .05, sigma_c2 = .8,
Just finished running, very few achieved branching! Should repeat with narrower competition kernel.
Mean number of failures from phase 2: 240, from phase 3: 330, so not order of magnitude different anymore but phase 3 still limiting.
Very interesting, seems the stdev of failures is much smaller for both! (24, 30 respectively)
Run6: as before, but mu=.0001, sigma_c2 = .3. Phase 2 is truly more limiting. A different mechanism to branching -- rare large jump vs series of rapid small steps.