The problem of Slightly Deleterious Mutations is moot under the conditions exceeding the Muller limit of about 1 bad mutation per person.
Nachman, Crowell, Eyre-Walker, Keightly, Kimura refer to this very simple formula based on the Poisson distribution:
N = \Large e^{U}
where
N average number of offspring per person needed to ensure at least one offspring is free of mutation
U = average number of new bad mutations per offspring per generation
Hence, Graur’s figure on the order of 10^{35} children per female can be approximately arrived at in this way:
Graur said:
https://arxiv.org/ftp/arxiv/papers/1601/1601.06047.pdf
If 80% of the genome is functional, as trumpeted by ENCODE Project Consortium (2012), then 45-82 deleterious mutations arise per generation. For the human population to maintain its current population size under these conditions, each of us should have on average 3 × 1019 to 5 × 1035 (30,000,000,000,000,000,000 to 500,000,000,000,000,000,000,000,000,000,000,000) children. This is clearly bonkers.
The figure he has is slightly different than the one using N = \Large e^{U}
There is factor of 2 that is sometimes applied to N for the average number of offspring per parent , vs the number of offspring per couple, and the number of offspring per couple is also the number of offspring per female. Literature is not always clear about this.
Since Graur uses the word “bonkers”, I call N = \Large e^{U} the Bonkers formula.
But, if we use even a ballpark of Graur’s preferred idea the genome is around 10% functional, using the Bonker’s formula with U = 10, then N \approx 22,000 and 2N \approx 44,000 per female, which is only less bonkers than 10^{35}
I show how the Bonkers formula can be derived from the Poisson distribution here: