Charlotte Moser on Data Assimilation
My comment : There is this 2000 paper "Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states" by Roderick C. Dewar which is really insightful, I think, but I found it quite hard to understand at first. He deals with the problem of defining what are the parameters of the macroscopic model without referring to any details of the microscopic system: so the reproducible macroscopic behaviour is described entirely in terms of expectation values on the underlying distributions in phase space. The problem is that in a weather forecast it is not even clear what temperature/humidity could mean at the level of even a 10x10x10cm cube of air. So the idea of the accuracy of the measurements is kind of redundant since we have no way to even say what accuracy means! See Lyapunov Stability in Dynamical Systems and these other posts of mine . Subscribe to Charlotte Mo...