Is there further evidence for spatial variation of fundamental constants?

Indications of spatial variation of the fine-structure constant, , based on study of quasar absorption systems have recently been reported J. K. Webb, J. A. King, M. T. Murphy, V. V. Flambaum, R. F. Carswell, and M. B. Bainbridge, arXiv: 1008. 3907. . The physics that causes this -variation should have other observable manifestations, and this motivates us to look for complementary astrophysical effects. In this paper we propose a method to test whether spatial variation of fundamental constants existed during the epoch of big bang nucleosynthesis and study existing measurements of deuterium abundance for a signal. We also examine existing quasar absorption spectra data that are sensitive to variation of the electron-to-proton mass ratio and x=^2g₏ for spatial variation.