Aggregation of Surface Heat Balance by Means of the Linear Model

I:Derivation of Equations of Spatially-Averaged Surface Heat Fluxes and Their Aggretation Criteria

Abstract

This research studys the aggregation of surface heat balance by means of the linear model, and discusses the derivation of an equation of regionally averaged surface heat fluxes and their aggregation criteria. We derive an equation of regionally averaged surface heat fluxes and their aggregation criteria in this paper which is the first part in the two parts, and the following conclusions are obtained; (i) derived equations consist of equations by parameter mean method and, variance and cross moment terms of surface parameters which represent the effect of their distribution, (ii) the aggregation criteria are expressed as the tolerance range of variance and more higher oder moment with a single parameter distributed, (iii) the criteria for the latent heat are more strict than for the sensible one, and it is enough to check the former only, (iv) equations for regional averaged fluxes and their criteria with multiple parameters distributed, are derived, (v) generalized aggregation criteria are the same procedure as the cluster analysis.