Taka
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"On average all but 2 children must either die or fail to reproduce. Otherwise the species population very quickly goes to zero or infinity."
A population of infinity is of course non-existing. An "infinity" population is not just a mathematical impossibility. What you forget to take into account is that a growing population changes the conditions of the population, and changes selection pressure.
Furthermore you consider evolution of just a single species. But all species are considered to be descendants of the same LUCA (Last Universal Common Ancestor), and there is no mathematical reason to consider each species separately. Or is there? When would you split populations into species and have each their... (read more)
So let me be more concrete. Because every model is a simplification. What I mean to say is that the model used here, is far too simple to draw conclusions.
The central statement of this entry is "There's a limit on how much complexity an evolution can support against the degenerative pressure of copying errors".
In order to check the model, the statement should be quantified, so it can be matched with measurements. Maybe something like "the genome of a species can have maximally 50k genes". That requires that the model should be enhanced.
If on purely mathematical grounds was realized that selection pressure can not support 3 billion bases of useful information, before the discovery of junk DNA and the 25k genes in the human genome, then surely there has been some development in the mathematical modeling of evolution since then.