  A ground state energy variational calculation of anyon gas with Hamiltonian
included the interaction of spins of particles with anyon vector potential
induced, i.e. statistical, magnetic field exhibits exact cancelation of terms
connected with fractional statistics. This leads to bosonization of anyons due
to coupling of their spins with statistical magnetic field. We presume that at
the dense gas fluctuations of effective spins destroy the coupling and bosons
become anyons. At the assumption that pseudogap (PG) boundary is temperature
independent and when anyons are fermions we use this model to interpret
experimental phase diagrams of Tallon and Loram hole and electron doped
High-T_c superconductors below PG energy E_g and find the qualitative and
quantitative agreement. We do the hypothesis that phase transition (PT) of
bosons into Bose-Einstein condensate is not of second order, but of first
order, close to second one, PG regime is meta stable phase of bosons, and E_g=0
is the critical point of this PT. Bosons undergo PT into fermions on PG
boundary. Described in the literature non-Fermi quasi-particles might be
related to bosons with effective spins.
