and displacement field within a deformed area. When, as is the case in southern California, sediment deposits occur in a tectonically active region, the deformed strata can be used as strain gauges of the progressive deformation. If the present geometry of a reference deformed layer is well known and if this layer may be restored to its initial state (assumed to be horizontal), comparison between present (deformed) state and restored (undeformed) state allows one to estimate the finite deformation (e.g., horizontal shortening of folded and faulted blocks) and the associated total finite horizontal displacement (e.g., displacement of points with respect to a reference line). Uncertainty may appear if the sedimentary deposits are not perfectly horizontal before the deformation; however, because of the large values of the deformation in the Transverse Ranges, this uncertainty is very low. As with geodetic data, the displacement field is estimated by reference to an arbitrary fixed line.
MethodTwo types of method may be used to estimate heterogeneous deformation. The first one is to partition the whole deformed area into homogeneous domains, then to restore and best fit all these domains in order to reconstitute the initial 4887