  We present an extended model for the lattice-induced light shifts of the
clock frequency in optical lattice clocks, applicable to a wide range of
operating conditions. The model extensions cover radial motional states with
sufficient energies to invalidate the harmonic approximation of the confining
potential. We reevaluate lattice-induced light shifts in our Yb optical lattice
clock with an uncertainty of 6.1E-18 under typical clock operating conditions.
