Three integrals in the mechanical energy equation have been statistically evaluated as a function of a broad division of eddies in the atmosphere over the northern hemisphere for January and April 1958. The integral of the product of the instantaneous pressure change and the specific volume exhibits two significant positive (potential to kinetic energy) modes, one in the boundary region from 1000 to 850 millibars and the other in the middle troposphere from 700 to 500 millibars. The integral values of the product of the instantaneous pressure change and the potential energy are about an order of magnitude larger than the values computed for the integral representing the transport of kinetic energy. The three integral values were introduced into the mechanical energy equation and the residual was taken, ideally at least, to represent the dissipation rate for the horizontal kinetic energy within various regions of the atmosphere up to 50 millibars. These dissipation rates compare favorably with the appropriate estimates by Brunt.

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The technique of stepwise multiple regression is applied to 45 days of data in establishing functional relations between the heights of the 500-mb. surface and TIROS I V long-wave radiation data during the period March t o June, 1962. Twenty-six points were selected for height specification in the general area.of the eastern Pacific and the North American Continent. Sixty points were selected as a source of radiation "predictors" in a larger area that not only encompasses most of the 26 height points but extends farther westward across the Pacific. Sample charts show the correlation fields that result when the height values a t each point are correlated with the radiation data a t each of 60 poipts. The screening process that selects the best predictors is arbitrarily stopped a t preset numbers of predictors. The resulting regression equations are evaluated on both dependent and independent samples. Even though the independent results are not outstanding for this particular sample, the method itself appears to offer promise for height and height contour specification over areas where direct measurements of heights are sparse or missing entirely.

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