Chapter 8 Over Constrained Linear Matrix Inversion with Statistical Selection

Semi-analytic inversions of remotely-sensed reflectance have been available since 1995 (Roesler and Perry, 1995). However, a procedure that provides an uncertainty of the inverted parameter for each individual spectrum based on uncertainties in the remote-sensing data and the model has only recently been devised (Wang et al., 2005). We use the same model philosophy as in Wang et al. (2005) with a slight modification (we use a single phytoplankton absorption spectrum). We assume a known relationship between rrs and the absorption and backscattering coefficients (Gordon et al., 1988):