Radial correlation between different layers of model hwe97p, Chebyshev reparameterization

Radial correlation matrix (mid plot), x and y axis indicate the depth levels for which the total linear correlation is calculated. Contour invervals are 0.2. The left plot shows r for constant depth bracket half-widths of from 100 km to 500 km as a function of mid-bracket depth. The right hand plot shows Delta z, the corresponding depth bracket width of contourlines of r of 0.85, 0.75, 0.65 if we were able to track a continuous contour. The model was reparameterized radially on Chebyshev polynomials of order 20, the average variance reduction with respect to the original model coeffficients was 99.76%. Note that some models suffer from ringing (over-fitting) toward the boundaries, this should not be interpreted as real structure.

view radial correlation for hwe97p based on original parameterization

view Chebyshev based radial correlation for pmean hwe97p kh00p bdp98 bdp00 pb10l18 smean grand ngrand s20rts saw24b16 sb10l18 sb4l18 s20a s362d1 rum lrr98d stb00d

view normalized power per degree for model hwe97p or power per degree for model hwe97p

compare model hwe97p with
pmean kh00p bdp98 bdp00 pb10l18 smean grand ngrand s20rts saw24b16 sb10l18 sb4l18 s20a s362d1 rum lrr98d stb00d

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