A few months ago, I wrote a post titled “What to Do Instead of ln(x+1),” in which I discussed the inverse hyperbolic sine transformation (IHS, or more specifically arcsinh), which is frequently used in lieu of the logarithmic transformation in order to transform a variable that has a substantial number of zero-valued observations.
The day the post appeared, I received an email from Casey Wichman, from Resources for the Future,* who wrote:
Jonathan Eyer and I used the IHS transformation in our JEEM paper on water scarcity and electricity generation, and I’ve actually been thinking about your final point since then. That is, how to account for elasticities when using the IHS transformation. I would be interested to do a bit more digging to see if anyone has written anything on it. If not (and I can’t remember finding anything when I was looking), I think there would be value in writing a short note … Any interest?