# Doesn't the sublimation rate on glaciers depend on the (specific) latent heat of sublimation of water ice?

Bliss, A.K., Cuffey, K.M., Kavanaugh, J.L., 2011. Sublimation and surface energy budget of Taylor Glacier, Antarctica. Journal of Glaciology 57, 684–696.

There is an expression for sublimation rate as a function of latent heat flux $L$ and (specific) latent heat of sublimation (of water ice) $\lambda$.

But then $L$ itself is given as a function of the latent heat of sublimation ($\lambda$):

So... doesn't $\lambda$ cancel out!? This would imply that the latent heat of sublimation doesn't matter at all here, which I guess is possible since it's a kinetically controlled process.