Determine whether much larger scenario ensembles change the coherence result

Determine whether substantially larger scenario ensembles produce a qualitatively different spatial-coherence effect in the two-stage stochastic dispatch problem when empirical cross-zone dependence is compared with independently permuted dependence under identical marginal forecasts.

Background

The paper tests scenario counts of 20, 50, 100, and 200 and finds no evidence that increasing the ensemble size recovers a larger value for spatial dependence; the pooled coherence estimate instead decreases for the most consequential stress configuration. Nevertheless, the experiments do not establish what happens at much larger scenario counts.

The unresolved issue is whether scenario ensembles substantially larger than those tested could reveal a qualitatively different dependence-related dispatch effect.

References

This does not rule out a qualitatively different result at much larger $S$, but it removes $S=20$ being simply "too small" as the explanation, and if anything suggests $S=20$ may modestly overstate the effect relative to a finer ensemble.

— The Operational Value of Spatial Dependence in Renewable Forecast Scenarios for Single-Period Economic Dispatch: A Controlled Ablation Study  (2609.23988 - Manoharan, 21 Sep 2026) in Section 3.3, Sensitivity to scenario count

Because their ablation is confounded with marginal-accuracy changes (\Cref{sec:related-work}), we cannot conclude from their result alone that a richer dispatch formulation genuinely extracts more value from spatial correlation than ours does.

— The Operational Value of Spatial Dependence in Renewable Forecast Scenarios for Single-Period Economic Dispatch: A Controlled Ablation Study  (2609.23988 - Manoharan, 21 Sep 2026) in Section 4.2, Does a richer dispatch formulation change the coherence answer?