I don't think there are any underlying equations that could do that in a simple way. Basically, you would need to map all activities and related flows of energy and material for the individual or population that you want to study. This could for example be averages for how much people in a certain country or region travel by different means of transport, how much they consume of different foods, heat their houses, etc. You can of course also do that for one individual. Once you have mapped all the flows, you can investigate the ecological footprint that each flow causes. There are some existing databases for that, but you need to be careful with selecting data that fits your context and scope.
Jesko Schulte Thank you very much for the answer. Yeah, I got some calculation factors and the database. These will only allow us to calculate the total EF of a country or a community (if data available). Individual EF can be calculated by averaging total EF with respect to the population size. Inversely, EF calculators (a few) allow entering individual data and provides the output EF as a black-box model. I am just looking for alternative customizable models. Thanks again.
You might have already done or considered this, but you could check with the organizations behind the EF calculators and ask for more information about their methodology. Here is one such calculator
https://footprint.wwf.org.uk/#/methodology which was developed with support from academia, among others the Stockholm Environmental Institute. They should be interested in transparency and might be willing to provide you with more details on their "black box".