Sm. Deoliveira et al., STUDYING THE NUMBER OF LINEAGES THROUGH MONTE-CARLO SIMULATIONS OF BIOLOGICAL AGING, International journal of modern physics C, 9(6), 1998, pp. 809-813
We studied different versions of the Penna bit-string model for biolog
ical ageing and found that, after many generations, the number of line
ages N (maternal family names) always decays to one as a power-law N p
roportional to t(-x) with an exponent z roughly equal to one. Measurin
g the mean correlation between the ancestor genome and those of the ac
tual population we obtained the result that it goes to zero much earli
er before the number of families goes to one, the population keeping t
hus its biological diversity. Considering maternal and paternal family
names (doubled names) we also finished with only one pair of common a
ncestors. Computing the number of families of a given size as a functi
on of the size (number of individuals the family has had during its wh
ole existence) again a power-law decay is obtained.