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of average evaporation from the water surface of the reservoir over average evaporation from an equal land surface. The corrected mean flow is the estimated mean actual flow after the reservoir is built and is to be used in calculation of yield.

(b) A reduction in storage capacity that grows out of the unequal distribution of evaporation at different seasons of the year. This may be compared to the drop in level of a lake with no tributary land area during the summer of the dry year, but refilled by fall rains. In a general way the allowance to be made under this heading for reservoirs in northern New England and New York will be 6 inches in depth over the reservoir area, increasing to 8 inches in the latitude of Philadelphia and to 12 inches more on the south Atlantic slope. No data are available for midwest and western reservoirs under this heading, but in many cases the allowance would be much greater than 12 inches. A rough rule given in the Civil Engineer's Pocketbook is to use for this depth the estimated mean annual evaporation from water surface less two-thirds the mean annual rainfall. The evaporation found under (b) is deducted from the storage capacity, and the net storage is used in calculation of maintainable yield.

Second. Where the evaporation from water surface exceeds the mean annual rainfall the method suggested by Cory* is recommended. The calculation of yield is made directly without either of the reductions noted above, and from the computed net yield is deducted the estimated average evaporation from the water surface of the reservoir. This is an alternate method applicable to western conditions and should not be used on the Atlantic coast where the average rainfall is more than the evaporation from water surface.

Reference is made to the literature noted at the end of this article for further discussion of evaporation and the methods of allowing for it.

Coefficient of variation

The coefficient of variation in annual flows is a coefficient calculated from the records to indicate the relative degree of variability. This term is generally used in statistics and is the square root of the mean of the squares of the percentage variations up and down, without regard to sign, of all the years in the record.

*Amer. Soc. C. E., vol. 77, p. 1654.

Figure 1 shows a storage diagram on which the storages required for the 95 per cent dry year for various coefficients of variation are plotted. This plotting is made on a logarithmic arithmetic paper which is found most convenient for such diagrams.

The curves for C. V. running from 0.20 to 0.45 were derived from records of streams north of the Potomac and east of the Alleghanies and they apply, with proper allowances for the ground storage and evaporation, to all the good data from this region. It is thought that they may be also used on the south Atlantic coast and on the western slope of the Alleghanies, but greater variations are to be expected, and efforts should be made to get local data to check them up or serve as a basis for new curves. No corresponding data have been secured for streams in the Mississippi Valley and in the north central states. The curves now shown may be used tentatively for such cases until local data are obtained, but greater variations must be expected.

The curves for a C. V. above 0.50 apply to streams west of the Mississippi, except Oregon and Washington. To this latter group, 90 days storage has been added to cover the variations in rainfall throughout the year.

Figures obtained from these curves must be corrected for evaporation and for ground water storage where it exists.

Method of expressing storage

A storage ratio of 1.00 means that the average storage is equal to the mean flow for one year. A storage ratio of 0.50 means that the storage is equal to half of one year's mean flow; and others in proportion.

Another method of stating storage, convenient for certain uses, is in days flow, that is to say as reservoir capacity divided by the daily output that is counted on from the system. Three hundred and sixty-five days storage means one year's actual supply held when reservoirs are full, and if, for example, 70 per cent of the mean flow is available the corresponding storage ratio will be 0.70.

Definition of a dry year

Estimates are not to be made for the very dryest year. Indeed there is no such thing as the dryest year. Dry years recur at intervals. The dryer the year the longer is the probable interval of

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Plotted from table on page 1196, American Civil Engineers Pocketbook,

4th edition, 1920.

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Arranged in order of Coefficients of Variation. (In any particular case look for local data and recent data, bringing the old records up to date before using them.)

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DAYS TO BE DEDUCTED FOR

GROUND WATER STORAGE

its recurrence. For intelligent discussion it is necessary to define a dry year in terms to designate the degree of its dryness.

The procedure has been adopted of arranging all the years of a record in a series in the order of their dryness. The median year in such a series is referred to as the "50 per cent year." The year of such a degree of dryness that 90 per cent of the years are wetter,

TABLE 5

Storage ratios actually used in several recent estimates

STORAGE RATIO-NET-AFTER EVAPORATION ALLOWANCE REQUIRED
TO MAINTAIN FLOWS STATED

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and 10 per cent are dryer than it, is called the "90 per cent dry year," and the year such that 99 per cent of all the years are wetter, and 1 per cent dryer than it, is called the "99 per cent dry year." Years thus defined are types. No one actual year is meant.

Dry years may be classified with reference to the quantities of rainfall, or quantities of runoff, or the quantities of storage required to maintain certain drafts. Arranging all the years in series in the

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