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<br />TOPPfNG ET AL: COLORADO RIVER SEDIMENT TRANSPORT, 1 <br /> <br />in which sand would generally accumulate over 9 months and <br />erode during 3 months of a year 10 one in which substantial <br />storage of newly input sand cannot be demonstrated for more <br />than 2 months per year. <br /> <br />Appendix A: Estimation of Ungaged Tributary <br />Sediment Input <br /> <br />We estimated 1he monthly sediment loads of the ungaged <br />tributaries by a two-step process. First, a long-term supply rate <br />of 7.2 million t per decade for the ungaged tributaries between <br />the Lees Ferry and Grand Canyon gages was estimated for the <br />period of sediment-data overlap in the Paria and Little Colo- <br />rado Rivers (i.e., sediment years 1949-1970). This value is <br />equivalent to an annual fine-sediment yield of 220 t/km' (t <br />indicates metric ton) and was determined by Griffiths el al. <br />(1998] using the method of RerumJ (1972]. On the basis of <br />USGS sediment-transport data and a 20% uncertainly, the <br />annual sediment yields for the Paria and Uttle Colorado River <br />basins are respectively 780 :!: 160 and 130 :!: 26 t/km'. Because <br />the geology in the ungaged tributary basins is more similar to <br />that in the Little Colorado River basin than that in the Paria <br />River basin and because the fine-sediment yield of the Paria <br />River basin is known to be amongst the highest on the Colo- <br />rado Plateau, the fine-6Cdiment yield of 220 t/km2 computed by <br />Griffiths el al. [1998J is appropriate. After determination of the <br />long-term supply rate, because the hydrology of the ungaged <br />tributaries is somewhat similar to that of the Pari3 and Little <br />Colorado Rivers, the fine-sediment load of the ungaged trib- <br />utaries each month within sediment years 1949-1970 was set as <br />proportional to the combined monthly fine-sediment load of <br />the Paria and Little Colorado Rivers. <br />On the basis of the comparison of predictions of fine- <br />sedimeTIt yield by the Renard [1972] method and field data <br />from the Little Colorado River basin [Griffiths el ai., 1998], the <br />uncertainly associated with the estimate of the fine-sediment <br />loads in the ungaged tributaries was determined to be approx- <br />imately a factor of 3. Though this approach may 6Cem primi- <br />tive, the sediment budget is not extremely sensitive to the <br />uncertainly in the estimated fine-sediment input from the un- <br />gaged tributaries because the mean-aonual input from this <br />source (i.e., 0.72:!: (a factor of 3) million t/yr) is comparable to <br />the mean-annual uncertainty associated with the measured <br />fine-sediment inputs. For example. given a 5% uncertainty in <br />the load of tbe Colorado River at Lees Ferry and a 20% <br />uncertainty in the loads of the Paria and Little Colorado Riv- <br />ers, the mean-annual uncertainty associated with the measured <br />inputs is 5.3 million t/yr during the predam era and 2.3 million <br />tlyr during the postdam era. <br /> <br />Appendix B: Sources of Sediment-Load <br />Measurement Error <br /> <br />There are six major sources of measurement error inherent <br />in the daily sediment loads used to construct the sediment <br />budget for Marble Canyon and upper Grand Canyon. The first <br />and most easily quantifiable source of error in daily sediment <br />loads arises from the computation of the discharge of water. <br />This error is greatest in rivers with poorly defined stage- <br />discharge rating curves, like the hydrologically flashy Paria <br />River. For the main stem Colorado River the rating curves and <br />shifts in ratings were well defined; thus the discharge errors <br />reported by the USGS were only 2% (unpublished USGS <br /> <br />539 <br /> <br />annual technical files from the Lees Ferry and Grand Canyon <br />gages, 1948-1970). For the Little Colorado River the dis- <br />charge errors reported by the USGS were typically 5% (un- <br />published USGS annual technical files from the LCR near <br />Cameron gage, 1948-1970), though the discharge errOrs ex- <br />ceeded this during higher flows. However, for the Pacia River, <br />because of a general lack of discharge measurements at higher <br />flows. the errors were much larger and greatly exceeded 10% <br />during periods of high flow. During the period for which a <br />sediment budget can be constructed (October 1947 through <br />September 1970), 50% of all discharge measurements on the <br />Paria River were made at flows less than 0.45 m'/s, 97% of all <br />discharge measurements were made at flows less than 15 m3/s, <br />and the highest discharge measurement was made at a flow of <br />76 m'/s [after Topping, 1997J. During October 1947 to Septem- <br />ber 1970, 13 floods had peaks higher than the highest discharge <br />measurement made duriDg this period (Topping, 1997]. Be- <br />cause of these problems, the discharge errOrs reported by the <br />USGS for the Paria River were typically 5% at 80ws less than <br />14 m'/s and were greater than 8% at higher flows (unpublished <br />USGS annual technical files from the Paria River Lees Ferry <br />gage, 1948-1970). Prior to the first use of the modem slope- <br />area method for estimating the peak discharge during a flood <br />(method described by Dalrymple and Benson [1967]) in Sep- <br />tember 1963, errOrs in Paria River peak 800d discharges some- <br />times exceeded 50% [Topping, 1997]. <br />The five major sources of error related to determining sed- <br />iment concentration are much harder to quantify and are typ- <br />ically larger than those associated with computing the dis- <br />charge of water. The first of these is best tenned a "sediment- <br />station location error." This error has to do with whether a <br />suspended-sediment measurement station is in a good location <br />to measure sediment loads. In the Grand Canyon region this <br />source of error was significant (but hard to quantify) only on <br />the Little Colorado River (LCR), where discharges and sus- <br />pended-sediment concentrations were measured at different <br />locations. On this river, discharges (and ultimately 6Cdiment <br />loads) were computed a1 the LCR near Cameron gage, but <br />suspended-sediment concentrations were measured upstream <br />at the highway 89 bridge at Cameron, Arizona (Figure 1). <br />Importantly, a major sediment supplier to the LCR, that is, <br />Moenkopi Wash, enters the LCR downstream from the sus- <br />pended-sediment measurement station and upstream from the <br />gage. The limited number of USGS suspended-sediment mea- <br />surements made on Moenkopi Wash indicate that in similar <br />flows, sediment concentrations in this stream are typically a <br />factor of 5 or more higher than in the LCR. Indeed, in some <br />years, more of the sediment supplied to the Colorado River by <br />the LCR is from Moenkopi Wash than from the LCR above <br />Moenkopi Wash [e.g., Graf el al., 1996, Figure 25]. Memo- <br />randa circulated between the USGS and the Bureau of Rec- <br />lamation (the agency who provided funding for the sediment- <br />load measurements on the LCR) in 1949 indicate that the <br />USGS was aware of this problem but because of funding lim- <br />itations could not add a daily sediment station on Moenkopi <br />Wash (unpublished USGS permanent technical file from the <br />LCR at Cameron water-quality station (located at the highway <br />89 bridge at Cameron)). Therefore, during October 1947 <br />through September 1970, the USGS attempted to account for <br />(he sediment inputs from Moenkopi Wash either by (1) sub- <br />lracting the discharge from Moenkopi Wash and using the <br />concentrations as measured at the LCR at Cameron, Arizona, <br />water-qu::llI1Y station or (2) increasing the measured COllcen- <br />