So, you say population genetics is a science. Population genetics has been well studied mathematically.
Do you then agree with the mathematical results of population genetics, which proves that (given a reasonable population size), beneficial mutations have a reasonable chance of fixing, neutral mutations possibly fix, and deleterious mutations never fix?
As Professor of Mathematics and Population Genetics Joe Felsenstein wrote on the pandasthumb blog, where he compared the probability of fixation of a 1% advantageous, a neutral, and a 1% deleterious mutation,
Fortunately, we can turn to an equation seven pages later in Kimura and Ohta’s book, equation (10), which is Kimura’s famous 1962 formula for fixation probabilities. Using it we can compare three mutants, one advantageous (s = 0.01), one neutral (s = 0), and one disadvantageous (s = -0.01). Suppose that the population has size N = 1000,000. Using equation (10) we find that
The advantageous mutation has probability of fixation 0.0198013.
The neutral mutation has probability of fixation 0.0000005.
The disadvantageous mutation has probability of fixation 3.35818 x 10^-17374
A 1% fitness benefit in a population of 1000000 has a 2% chance of being fixed in the population.
A 1% fitness deleterious mutation effectively NEVER fixes in a population - it is “weeded out”.
For those more mathematically inclined, you can verify these numbers yourself;
Kimura’s fixation rate formula from a paper entitled “On the Probability of Fixation of Mutant Genes in a Population”
For a diploid population of size N, and deleterious mutation of selection coefficient - s, the probability of fixation is equal to
P fixation = (1 - e^(-2s))/(1 - e^(-4Ns))
(if s =/= 0. If s = 0, then we simply use his equation 6, where probability fixation = 1/2N).
Formula (10) from
If s = 0.01 and N = 1000000, (ie beneficial mutation with 1% fitness advantage and population 1000000), probability of fixation is
(1-e^(-0.02))/(1-e^(-40000)) = 0.01980132669
For a neutral mutation, s = 0, for which formula 6 states its probability fixation = 1/2N,
P fixation = 1/2000000 = 0.0000005
If - s = 0.01 (ie deleterious mutation of 1% fitness disadvantage) N = 1000 000, probability of fixation is
P fixation = (1-e^(0.02))/(1-e^(40000))
= 3.35818 x 10^-17374.
So - based on the above mathematics, it seems, given a reasonable population of replicating organisms, evolution is inevitable, and genetic entropy statistically impossible.
Or do you deny the above maths @colewd?