The assumption that the two-point wind correlations are those expected from two-dimensional, homogeneous, isotropic turbulence leads to inconsistencies when applied to the wind-height correlations on the 500-mb surface in the summer. It is shown that these inconsistencies are due primarhy to the non-fulfihment of the homogeneity assumption. Modifications to take into account the magnitude of the horizontal gradient of the standard deviation of height are made. The modified results compare quite favorably with the observed data. The important modification developed consists of a change of the emphasis in the statistical assumptions made from an assumption that involves the wind correlations to an assumption regarding the nature of the height field and its two-point correlations.
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C. Eugene Buell (1958) studied this question.
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