Indeed Earthborn; as the weather obviously affects survival, and because it is a chaotic system, it is probably affected by quantum events (whether a single aom decays, and ionises some air for example).
Just because something is random, doesn't mean that the odds are all the same.
A single atom of plutonium-239 and a single atom of U235 both will decay in processes that are (to the best of our knowledge) random. However in any time period, the plutonium is tens of thousands of times more likely to decay, based on a quick look at their respective half-lives.
Organisms with different traits have different chances of producing reproducing offspring, but these traits skew the odds, but don't make the process nonrandom.
Looking at the figures, it would probably make sense to treat the number of reproducing offspring per parent as a
poison distribution, where, for a stable population the lambda value is 1 and for an increasing population the lambda is greater than one, and the converse for a declining population.
Youcan then make some assumpptions on the survival probabilities and the chances of beneficial traits spreading beyond an individual:
For example:
Cod stocks are declining, this means that there is less than one breeding offspring per parent.
A single cod produces several million spawn, to make the numbers easy, lets say 2-million spawn. This means that the odds of survival of a single spawn is about 1:1,000,000. (Average 2 survive, and 2-parents)
Supposing one individual had a mutation that raised its chance of survival to breed 100x; it would now have a 1:10,000 chance of breeding.
If this individual
did survive to breed, however, half its offspring had this trait, then the most probable number of surviving offspring in this brood would now be 101 (100x1 for for one half, and 1 for the other half). The trait would now spread rapidly.
(Damn, I promised myself that I wouldn't get into this debate again).
Mostly I think it is semantics, as to most physicists (and several of the ecologists that I know, this is an example of a quintessentially random process).