I've submitted a program to SSC called robumeta that will perform meta analysis regressions with dependent effects.
Hedges, Larry V., Elizabeth Tipton, and Matthew C. Johnson. 2010. Robust variance estimation
in meta-regression with dependent effect size estimates. Research Synthesis Methods.
Website for further information:
robumeta provides a robust method for estimating standard errors in meta-regression,
particularly when there are dependent effects. Dependent effects occur in two basic models:
(1) correlated effects and (2) hierarchical meta-regression. In (1), the dependency arises
as a result of correlated estimation errors; for example, a study collects two outcome
measures on each participant and then summarizes these as two effect size measures. In (2),
the dependency arises as a result of correlated parameters; for example, the same research
group may publish several studies and there may be elements of these studies that are
similar to one another. Importantly, the robust standard error procedure used here does not
require the underlying correlation structure to be known; additionally, it works for any
weights and can be used to estimate the mean effect size as well as meta-regression models.
Finally, note that the procedure also can be used with independent effects, particularly
when distributional assumptions might be violated.