Following the idea introduced by Wiemer and Wyss [1997], here is an attempt
to map the seismic hazard, in terms of the b value in the frequency-magnit
ude distribution, in a region with moderate seismic activity (Bearn region,
French Pyrenees). In this area, the complexity Of the geology makes it nec
essary to perform a 3-D mapping, b values are computed within 5 km radius s
pherical volumes, that contain an average of 140 events. Strong lateral var
iations, between 0.45 and 1.8, are observed at short scales in the whole in
vestigated volume. The minimum of the b value is clearly correlated with a
historically active zone, which last ruptured in 1980 (M-b = 5.1). Interpre
tating low b values in terms of high stresses may lead us to consider this
minimum-b patch as a 5 km radius asperity. This study allows to define its
location and dimensions.