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JGCRI / fldgen

Given a global mean temperature pathway, generate random global climate fields consistent with it and with spatial and temporal correlation derived from an ESM
https://jgcri.github.io/fldgen/
GNU General Public License v2.0
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Prove property 3 #11

Closed rplzzz closed 6 years ago

rplzzz commented 6 years ago

Prove that the spatial correlation in the generated fields is the same as the spatial correlation function for the input data.

We have a little flexibility in how we go about this. Actually computing the spherical ACF is a pain, but we might be able to finesse that because we don't actually need to compute the ACF to prove that the ACFs for the two fields are equal. Alternatively, it might be sufficient to show that the covariance matrices for the two fields are the same.

abigailsnyder commented 6 years ago

sketched this one out too; there's a couple things I need to clarify but so far, I believe there's no new conditions that will come from this. ie, once we have a method that satisfies property 1a, I think we have everything we need for this.