An overview of the pressure, temperature and chemical composition dependenc
e of the lattice distortion in orthorhombic ABO perovskite structures is pr
esented. Within the framework of the so-called global parametrization metho
d (GPM) [Thomas (1998). Acta Cryst. B54, 585-599] an improved description f
or the position of the A cation in terms of the AO(12) and BO6 polyhedral v
olume ratio is proposed. The relationship is derived from an extensive ab i
nitio study based on the density functional theory. The applicability of th
e improved GPM in combination with ab initio total energy calculations in t
he prediction of changes in the structural distortion under increasing hydr
ostatic pressure is investigated. Test calculations are performed for the g
eophysically important magnesium silicate perovskite and the results are co
mpared with the available theoretical and experimental data.