  We extend Mirzakhani's conjugacy between the earthquake and horocycle flows
to a bijection, demonstrating conjugacies between these flows on all strata and
exhibiting an abundance of new ergodic measures for the earthquake flow. The
structure of our map indicates a natural extension of the earthquake flow to an
action of the the upper-triangular subgroup P < SL(2,R) and we classify the
ergodic measures for this action as pullbacks of affine measures on the bundle
of quadratic differentials. Our main tool is a generalization of the shear
coordinates of Bonahon and Thurston to arbitrary measured laminations.
