Assimilation of Passive Microwave Radiances Into U.S. Navy Operational NWP Models

Adjoint sensitivity analysis

1. Consider a model:

and a (differentiable) scalar forecast measure:

3. The solution is:

such that:

approximates

2. Determine

…Estimate the response of model output to possible perturbations of model input

Sensitivity of J w.r.t the analysis

Adjoint model (transpose of M)