  A model of precursor manifestation mechanisms, stimulated by tectonic
activity and some peculiarities of observer strategy, whose main task is the
effective measurement of precursors in the spatial area of their occurrence on
the Earth's daylight, are considered. In particular, the applicability of
Dobrovolsky's approximation is analyzed, when an unperturbed medium
(characterized by the simple shear state) and the area of tectonic activity
(local inhomogeneity caused by the change only of shear modulus) are linearly
elastic, and perturbation, in particular, surface displacement is calculated as
a difference of the solutions of two independent static problems of the theory
of elasticity with the same boundary condition on the surface. Within the
framework of this approximation a formula for the spatial distribution (of
first component) of magnetic field variations caused by piezomagnetic effect in
the case of perturbed regular medium, which is in simple shear state is
derived. Cogent arguments in favor of linear dependence between the radon
spatial distribution and conditional deformation are obtained.
  Changes in magnetic field strength and radon concentrations were measured
along a tectonomagnetic profile of the total length of 11 km in the
surroundings of the "Academician Vernadsky" Station on the Antarctic Peninsula
(W 64{\deg}16', S 65{\deg}15'). Results showed a positive correlation between
the annual surface radon concentration and annual changes of magnetic field
relative to a base point, and also the good coincidence with theoretical
calculation.
