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<br />.......V""\.. ...... <br /> <br />I <br /> <br />(c) Storm sequences in tropical regions <br /> <br />The nature of Large to Extreme .rainfall sequences in <br />the tropical region is not clearly understood. The issue of <br />storm sequences will be addressed in the foreshadowed <br />review of the GTSM. In the meantime, advice on Extreme <br />rainfalls for very long durations in the tropical regions Df <br />Australia should be sought from the Bureau of Meteorology. <br /> <br />I <br />I <br />1 <br /> <br />3.9 Temporal Patterns <br /> <br />3.9.1 General <br /> <br />(a) Background <br /> <br />Temporal patterns are required to distribute the design <br />rainfall depths over the duration of the rainfall burst They <br />are usually expressed as fractions of the total burst rainfall <br />in each time interval and allow the derivation of design <br />burst hyetographs. The adopted pattern can have a major <br />effect on the computed flood. Wood and Alvarez (1982), <br />Brown (1982) and Nathan (1992) give examples of <br />differences of over 50% in flood peaks for spillway design <br />floods resulting from different assumed temporal patterns. <br />As discussed in Section 2.2, for rainfall-based estimates <br />of floods it is necessary to adopt an AEP-neutral approach, <br />where the objective is to derive a flood with an AEP <br />equivalent to its causative design rainfall. The most <br />appropriate solution to the problem is to adopt an explicit <br />joint probability approach, in which the temporal pattem is <br />treated as a random variable (e.g. Bloschl and Sivapalan, <br />1996; Weinmann et aI., 1998). Alternative approaches <br />which aim to incorporate the variability of temporal patterns <br />are discussed in Weinmann et aL (1998). Appropriate joint <br />probability procedures are still the subject of ongoing <br />research, and practitioners are encouraged to adopt <br />suitable procedures once they become available. <br /> <br />1 <br />I <br /> <br />I <br /> <br />1 <br /> <br />I <br />I <br />I <br />I <br /> <br />(b) Derivation of typical patterns <br /> <br />In the absence of more sophisticated procedures, it has <br />been argued (e.g. French, 1986) that in order to avoid the <br />introduction of bias it is necessary to adopt a sin91e design <br />temporal pattern of average variability. This is strictly <br />correct only if the rainfall was transformed linearly into <br /> <br />I <br /> <br />UUUl\ VI - C:.UllIClllUII UI L.ClI~C lV C^UClllC rlUUU:S <br /> <br />runoff, a characteristic that is (unfortunately) not observed <br />in practice. Given that the degree of non-linearity for Large <br />to Extreme events is largely unknown, tt is usually <br />considered sufficient to select a single temporal pattern <br />characteristic from the central range of appropriate <br />observations. <br />The patterns given in Book II Section 2 for rainfall <br />frequency estimates of relatively high probability were <br />derived using the average variability method developed by <br />Pilgrim et aL (1969), a technique developed specifically to <br />yield "typical" pattems suitable for design purposes. There <br />is evidence to suggest (e.g. Rowbottom et aI., 1986; <br />Nathan, 1992) that the temporal patterns of more extreme <br />events are more unifDrm, and accordingly the GSAM PMP <br />temporal patterns developed by Nathan (1992) were <br />smoothed to ensure a gradual transition between storms of <br />different areas and durations, as well as moderate <br />smoothing from one time increment to the next. The <br />temporal patterns provided in Book II Section 2 were <br />derived using point rainfalls though in practice they are <br />applied to areal design rainfalls. Effects of spatial averaging <br />are also likely to make areal rainfall patterns more uniform. <br /> <br />(c) Pre-burst temporal patterns <br /> <br />Information on design rainfall depths for a given AEP <br />relates to the depth of rainfall that can be expected to occur <br />within design bursts of specified duration; it does not <br />represent complete storms. One of the main difficulties <br />associated with using design bursts rather than complete <br />stDrms is that it is difficult to know what desi9n losses to <br />adopt, particularly for the derivation of Large to Extreme <br />floods (see Section 4.2). <br /> <br />Traditionally, temporal patterns were derived for use <br />with design bursts of rainfalls, not complete storms. In order <br />to avoid the problems associated wtth design loss <br />selection, guidance is now provided on. the derivation of <br />temporal patterns for rainfalls antecedent to design bursts. <br />Thus, temporal pattern information can be used to derive <br />hyetographs of complete storms that incorporate design <br />bursts of specified duration and AEP. At present pre-burst <br />rainfall temporal patterns are only available from the <br />Bureau of Meteorology for southeastern Australia (guidance <br />on the use of these pre-burst temporal patterns is provided <br />in Section 4.2.3c). Pre-burst patterns are alsD planned to <br /> <br />Table 8 Selection of design burst temporal patterns for different regions, durations and AEPs <br /> <br /> <br />I <br /> <br />1 <br /> <br />I <br /> <br />I <br />I <br /> <br />GSDM patterns <br /> <br />I <br /> <br />Book II, Sect. 2 <br />patterns <br /> <br />Both unsmoothed <br />24hr GSAM aRd <br />longest duration <br />GSDM patterns <br /> <br />Unsmoothed <br />GSAM patterns <br /> <br />GTSM patterns <br /> <br />Both smoothed <br />24 hr GSAM and <br />longest duration <br />GSDM pattems <br /> <br />Smoothed GSAM <br />patterns <br />