I am struggling to fit Karanth et al. 2004 equation for estimating carrying capacity of tigers from prey density in Sundarbans of Bangladesh. Can anyone help out of it or any alternative to do so?
I don't think so you can use the density estimation directly for carrying capacity of tigers. There is of course a relationship between prey density and tiger population, but I think you need to consider spatial arrangement between individuals for carrying capacity estimation.
A simple estimate can be obtained from the Carbone & Gittleman paper in 2002. Roughly this equates to a biomass ration of 1kg tiger: 100kg of prey standing biomass. If tiger hunt prey similar in mass to themselves, one would predict 1 tiger for every 100 prey.