One-parameter discrete model estimating genetic distance between precu
rsor and descendant nucleotide sequences after several steps of substi
tution acts is developed. This model based on the previously introduce
d symbol sequences enumeration procedure (M.Y. Shchelkanov, A.N. Yudin
, A.V. Antonov, N.S. Starikov, A.A. Vedenov, E.V. Karamov, J. Biomol.
Struct. Dyn. 15, 231-241 (1997)) differs from Jukes-Canter and Kimura
models by the absence of the assumptions usual for continuous Markov's
processes. Formula obtained with the help of our model are more prefe
rable since they take into account multiple repetition substitution ab
ility and they are correct in the entire admissible range of parameter
s.