Would environmental diversity be a good surrogate for species diversity?

Araújo, M. B., Humphries, C. J., Densham, P. J., Lampinen, R., Hagemeijer, W. J. M., Mitchell-Jones, A. J., & Gasc, J. P. (2001). Would environmental diversity be a good surrogate for species diversity? Ecography, 24(1), 103–110. https://doi.org/10.1034/j.1600-0587.2001.240112.x