Concept of a new 13CO2 measurement approach

Contains results demonstrating that heterogeneity in exponential growth rates has substantial implications for upscaled dynamics. In particular, the distribution over local (patch) populations is fat-tailed, and this fat-tailedness increases monotonically with time. As a result of this increase in tail exponent, the aggregate population demonstrates a finite time singularity. These results have a variety of applications throughout ecology, epidemiology and the life sciences more generally.

I apply the basic framework of the scale transition approach from Peter Chesson's seminal work in population/community ecology to the problem of confronting SIR-type models with aggregate data. This is a work in progress (as of 04/02/2020)

We derive R_0 and SIR models from first principles and make remarks in light of the SARS-COV2/Covid-19 pandemic.