Using ergodicity hypothesis, we show that the old
neutron star population in the Galaxy under reasonable
suggestions about initial space and velocity distributions
of young pulsars can fill a thorus-like region extended
up to several tens kiloparsecs above the galactic plane.
The general shape of this space distribution is mainly
defined by the assumed galactic potential. The obtained distribution
is undergone by the isotropy and homogeneity tests appropriate
to gamma-bursts problem. At the chosen parameters, the
distribution cannot simultaneously explain both the observed isotropy of
gamma-burst locations on the sky, and low 
.
However, existence of
two populations of gamma-burst progenitors distinctive by their
space distributions will change the picture but cannot be
calculated in a proper way at present.
Future improvement of the gamma-burst statistics
presumably will give answer to this problem.