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Urban Start-up Agglomeration and Venture Capital Investment (view source)
Revision as of 18:57, 2 December 2020
, 18:57, 2 December 2020→Curvature
{{Colored box|title=Specification|content=For layer <math>l</math>, I compute the curvature as -1 times the backward first difference in the variance explained ratio from layer <math>l+1</math> divided by the central second difference in the variance explained ratio from <math>l</math>. The first and last layers are forbidden results.}}
The curvature results seem somewhat better than the elbow resultsbut are still far from ideal. Here are some things I look for and/or don't like in a layer selection method:
*Interior solutions are good, collapsing to the bounds, especially the lower bound is bad
*Consistent solutions are good within cities - it's nice when adjacent years in the same city have more or less the same layer selected
*Consistent solutions across cities are also good - When the method picks roughly similar layer indicies (i.e., % unclustered) across cities, particularly conceptually similar cities, that's a plus
*From other analysis, I know that the equilibrium of agglomeration forces occurs when agglomerations have fairly small average hull sizes, perhaps on the order of 10hm2.
===Version 3.5 build notes===
