  We have carried out a detailed study of symbiotic stars with white dwarf
accretors by means of a population synthesis code. We estimate the total number
of symbiotic stars with white dwarf accretors in the Galaxy as 1,200 - 15,000.
This range is compatible with observational estimates. Two crucial physical
parameters that define the birthrate and number of symbiotic stars are the
efficiency of accretion by white dwarfs (which greatly depends on the
separation of components after common envelope stage and stellar wind velocity)
and the mass of the hydrogen layer which the white dwarf can accumulate prior
to the hydrogen ignition. The theoretical estimate of the Galactic occurrence
rate of symbiotic novae ranges from about 1.3 to about 13.5 per year out of
which weak symbiotic novae comprise about 0.5 to 6.0 per year, depending on the
model assumptions. We simulate the distributions of symbiotic stars over
orbital periods, masses of components, mass-loss rates of cool components,
mass-accretion rates of hot components and luminosity of components. Agreement
with observations is reasonable.
