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<br />estimate .of the PMF), FDr a givencDmbination .of values fDr
<br />L< and <1>, the RT that yielded the largest PMF varies between
<br />the various land-cover distributions in most instances. The
<br />design engineer ShDUld: (1) Find the .optimum tempDral "iin-
<br />fall distribution for the given spatialla~d-cover distribution; .
<br />and (2) find the .optimum stDrm-center locatiDn fDr the given
<br />temporal rainfall distribution. The ,aforementioned results "in-
<br />dicate that selecting the .optimum temporal rainfall distribu'
<br />tion is a very important criterion in obtaining -an accurate
<br />PMF estimate, otherwise th~ accuracy. used in selecting,the .
<br />optimum values for both the storm orientation and the stann
<br />center location may be lost.
<br />
<br />VDlume .of RunDff and Its Spatial and TempDral
<br />Distributi.on
<br />
<br />The following information concerning the runoff is also
<br />revealed by this study: (1) The vDlurpe .of ruQDff is mainly a
<br />functiDn .of the percent .of fully develDped land-cDver distri-
<br />butiDn; (2) the spatial distributiDn .of runDff is .only a functiDn
<br />.of tbe spatial distributiDn .of rainfall f.or a spatially hDmDge-
<br />r:aequs land-cover distribution, while its mainly a function of
<br />the spatial land-cDver distributiDn fDr a spatially nDnhDmO-:
<br />geneDus landcover distributiDn; and (3) the tempDraLrunDff '
<br />distributiDn, I, .of the PMF, is mainlya functiDn .of the selected
<br />tempDral rainfall distributiDn, It shDuldbe nDted that the tDtal
<br />vDlume .of runDff appears tD be the mDst impDrtant factDr
<br />.over the spatial distributiDn .of runDff in estimating the PMF,
<br />This nDte implies that a change in the percent .of fully de-
<br />velDped land-cDver distributiDn has mDre impact on die PMF
<br />than the spatial distribution .of a given percent .of fully de'
<br />velDped landcDver distributiDn, Furthefl!1Dre, the resulting Ip
<br />.of the PMF is directly an effect .of the assumed tempDral
<br />'rainfall distributiDn, ' '
<br />
<br />Use .of Guidelines to Estimate PMF
<br />
<br />The fDregDing guideli,nes may be used tD assess the effects
<br />.of each cDntributing factDr .on the PMF and the interactions
<br />between the factDrs, Although the assumptiDns made fDr each
<br />factDr included a range .of values that' wDuldbe expected in
<br />typical design situatiDns, the guidelines presented here are
<br />intended fDr lhe fDIIDwing tWD purposes: (1) To .obtain a
<br />plaiining estimate .of the 'PMF. using a single HMRS2/HEC-l
<br />computer run and the adjustment factDrs; and (2) tD .obtain
<br />a design estimate .of the PMF in which the designer must
<br />actually conduct a sensitivity analysis guided by the research
<br />resuits.
<br />
<br />Obtaining Planning Estimate .of PMI'
<br />
<br />TD .obtain a planning estimate .of the PMF, it is recom-
<br />mended that the designer make an HMRS2/HEC-l computer
<br />run fDr the base point values: 1810 fDr stDrm DrientatiDn (i.e"
<br />alDng'the majDraxis .of the drainage area); (0, 0) for storm'
<br />center location (i.e... drainage-centered), and a center-peaked
<br />tempDral rainfall distributiDn fDr an elliptical iSDhyetal axes
<br />ratio 2,5 tD I fDr the design land-cDver distributiDn in the
<br />drainage basin, Adjustment factDrs frDm Fig, 4 are applied
<br />tD the base pDint PMF tD reflecl changes made in 'the values
<br />fDr the cDntributing factDrs. AccDrding tD the results .of the
<br />"sensitivity analysis, the base point values for 4>, Le. and Rr
<br />, are applicable fDr each .of the five land.CDver distributiDns
<br />examined (each land-cover distribution having a different
<br />maximum PMF). Therefore, with this assumption (Le., for
<br />the base pDint values fDr <1>, L" and Rr), the designer may
<br />use the adjustment factDrs from the charts .of Fig" 4 tD de-
<br />termine what percentage of the maximum PMF would result
<br />for a one-factor. two-factor, or three-factor variation from
<br />
<br />.'
<br />
<br />t'lo....,rtn...lon
<br />
<br />'-'
<br />
<br />---
<br />
<br />___181
<br />
<br />PMF 0.'
<br />~
<br />max 0.8 __-
<br />
<br />-':_210
<br />
<br />0,'
<br />
<br />0,'
<br />
<br />'-'
<br />
<br />early-
<br />peaked
<br />
<br />eellter-
<br />peaked
<br />
<br />late-
<br />peaked
<br />
<br />b.I.O
<br />
<br />..0..... o,..~..<1....
<br />181'
<br />
<br />0,'
<br />
<br />--:~:--
<br />
<br />PHF
<br />PH"Fmax 0.'
<br />
<br />-~210'
<br />
<br />0,'
<br />
<br />--
<br />
<br />0,'
<br />
<br />0,'
<br />
<br />early-
<br />peaked
<br />
<br />center-
<br />peahd
<br />
<br />late-
<br />peaked
<br />
<br /> ',0
<br /> ...... _1....Uti....
<br />. pJotF 0,'
<br />~ -- lit"
<br /> -x .,. -
<br />"
<br /> 0,' ,~:=-
<br /> -- no"
<br /> 0,' -
<br /> 0,'
<br /> early- center- late-
<br /> peaked peaked peaked
<br />
<br />Temporal Rainfall Di~tribution
<br />
<br />FIG.- 4. Variation of PMF for One-Factor, Two-Factor, and Three-
<br />Factor Variation from Base Point Combination of Factors for Fol-
<br />lowing Slorm Center Locations: (a) Drainage-Centered; (b) Down-
<br />stream Subbaslns-centered; (c) Upstream Subbaslns-Centered
<br />(Land-Cover . Distributions .'are Denoted as -=-- :;: Downstream
<br />Half Fully Developed; -,--,; Upper Middle Half Fully Developed;
<br />---- :;: Homogeneous Fully Undeveloped;.-.-. :;: Homoge-
<br />neous Fully Developed; - - ; Upstream Half Fully Developed)
<br />
<br />1.06
<br />
<br />---./1l'_09fIlOlllllnclf'O"fIOOf
<br />c1o..nst..u. 1I11( full
<br />c1fUIOll'c1
<br />-...-"0_""''''0''1.'''111
<br />d,ulop,c1
<br />
<br />PMF-, 1.0" .........
<br />--...--
<br />IllaX 1.0C:
<br />at 2.5
<br />to LO 1.00
<br />IsobyeU.l
<br />Axea 0.98
<br />Ratio. 0.96
<br />
<br />
<br />~<~
<br />, --.;,~
<br />
<br />0.9.
<br />1.0
<br />
<br />-
<br />
<br />2.5
<br />
<br />..,
<br />
<br />Elliptical Isohyetal A."tes Ratio
<br />(to LO)
<br />AG. 5. Variation of PMFwith-Change In Isohyetal Axes Ratio from
<br />2.5 to 1.0 fo ell her, 1:0 to 1,0 or 4,0 to 1.0
<br />
<br />, ,
<br />the base pDint cDmbinatiDn .of factDrs, Depending upDn the
<br />currently existing land-cover distribution, the designer would
<br />. use the appropriate curves in each chart in Fig. 4 to determine
<br />the percentage of the maximum PMF. To determine what
<br />percentage .of the adjusted planning PMF wDuld result fDr a
<br />variatiDn in the iSDhyetal axes ratiD frDm 2,5 tD 1 tD 1.010 I
<br />or to 4.0 to 1, the designer may use the adjustment factors
<br />from Fig,S.
<br />In the case in which either the currently existing land-cover
<br />distribution differs significantly from the five distributions
<br />examined in this research, or if a change in the existing land-
<br />cover distribution is anticipated, the designer may use the
<br />dashed line .of Fig, 6 tD adjust fDr the appropriate difference
<br />
<br />334/ JOURNAL .oF IRRIGATION AND DRAINAGE ENGINEERING / SEPTEMBER/OCTOBER 1995
<br />
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