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<br />39 <br /> <br />the longer record station was used in the studies for determining the magni- <br />tude and regional and seasonal variation of convergence PMP. <br /> <br />Additional data were sought from major storms of record for which there <br />were large rainfalls in least-orographic regions. Almost all major storms in <br />the Southwest have their centers in orographic regions; thus, it is difficult <br />to obtain large amounts (more than one inch in 24 hours) in least-orographic <br />regions. Data from the August 1951 and the northern center of the September <br />1970 storms along with seven lesser nonsunnner storms were considered for guid- <br />ance in establishing the seasonal variation of durational relations. The <br />latter storms are listed in table 2.5. <br /> <br />Table 2.5.--Nonsummer storms in the Southwest and the number of stations with <br />relatively large rainfalls in least-orographic regions, used in duration <br />analysis of convergence PMP. <br /> <br /> Date No. of stations Location <br /> Dec. 14-17, 1908 4 W. Cent. Arizona <br /> Dec. 17-24, 1914 6 S. Arizona <br /> Jan. 14-20, 1916 5 S. Arizona <br /> Feb. 01-07, 1905 5 SE Calif., S. Ariz. <br /> Feb. 10-22, 1927 3 S. Utah <br /> Mar. 11-17, 1941 3 SE Calif., S. Ariz. <br /> Apr. 05-10, 1926 2 S. Arizona <br />2.4.2 Depth-Duration Relation <br /> <br />A depth-duration relation of PMP for an area size indicates the relation- <br />ship between PMP values for various durations. It can qe specified by a <br />smooth curve of duration vs. depth (either in inches or percent of the value <br />for a selected duration) or mathematically by ratios of the depths for var- <br />ious durations to that say of 24 hours. A PMP depth-duration relation is <br />based on the concept that the average intensity of rainfall decreases with <br />increasing duration. This concept is analogous to that in depth-area rela- <br />tions of PMP in which precipitation decreases with increasing area size. It <br />might be well to point out that a depth-duration relation of PMP does not <br />specify the time sequence in which incremental rain will fall. A smooth <br />depth-duration relation can be quite well defined by the 6/24- and 72/24-hr <br />ratios of rainfall. <br /> <br />Some regional PMP studies have used one depth-duration relation for the en- <br />tire region. From preliminary examination of 6/24-hr ratios of rainfall, it <br />was apparent that seasonal and regional variations precluded use of a single <br />relation for the Southwestern States. <br /> <br />As an alternative, a concept of a family of smooth depth-duration relations <br />was envisioned that would cover the range of probable relations required. <br />When expressed in percent of the 24-hr amount, the concept of a smooth family <br />of curves that require a continually decreasing rate of rainfall intensity in- <br />volves an inverse relationship: Where the short-duration value is high, the <br />long-duration value with which it is associated is low, and vice versa. In <br />effect, this implies that high 6/24-hr ratios relate to low 72/24-hr ratios, <br />and that low 6/24-hr ratios relate to high 72/24-hr ratios. <br />