Pájaro River Watershed Flood Protection Plan - The Pajaro River ...

Pájaro River Watershed Flood Protection Plan - The Pajaro River ... Pájaro River Watershed Flood Protection Plan - The Pajaro River ...

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CHAPTER 2 Design Flood Analysis Analysis of Flood Flow Frequency: San Benito River, Pájaro River, and Tributaries Purpose The purpose of this analysis is to determine the discharge of the 100-year flow events for several gages on the San Benito River, Pájaro River, Uvas Creek, and Pacheco Creek. The 100-year flow frequency events are compared both for all data available and at 10-year sub-sets of the flow data. These estimates of discharge were calculated using the Log-Pearson Type III methodology as described in Bulletin 17B: Guidelines for Determining Flood Flow Frequency by the US Water Resources Council (1982). Methods Data Collection Peak annual flow discharge and stage heights at several gages in the Pájaro River system watershed. Each gage number, name, river system, and drainage area are summarized in Table 1. These data were obtained online from the US Geological Survey. For the sites at Uvas Creek (11154200) and Pacheco Creek (11193000), years with zero flow in the peak record are adjusted to have a discharge of 0.01cfs. At the Hollister site (11158500), data for the water year 1957 is missing, and excluded from the analysis. Data Analysis For each gage, the peak annual flow data were ranked by peak discharge (Q), with the highest discharge of record with the rank of 1. The data does not have a normal distribution, requiring the log of the discharge to be taken for analysis. The sample mean (Ŷ LT ), standard deviation (S yLT ), and standardized skew (g s ) are taken off the log-transformed discharge (Q LT ). Due to the nature of flood events, and the small sample size of extreme events, the accuracy of the sample skew is poor. An adjustment is made to the sample skew (g s ) for improved accuracy. The adjusted skew used in this analysis is adjusted by the following equation: g adj = g s * (1+(6/n)) DRAFT 7/22/03 21 Pajaro Watershed Flood Management

where: g adj is the adjusted skew g s is the standardized skew n is the sample size For several exceedence probabilities (p) ranging from 0.99 (1.01-year recurrence interval) to 0.01 (100-year recurrence interval), the values of the standardized variate K were obtained using tables included in the Bulletin 17B report for the adjusted skew value. The Log-Pearson Type III estimates are determined from the following equation: K (g adj ) Y LT = Ŷ LT + KS LT where: Y LT is the log of the estimated discharge for the exceedence probability at Y LT is the mean of the log-transformed sample K is the Log-Pearson Type III variate determined using the adjusted skew S LT is the standard deviation of the log-transformed sample The antilog of the Y LT values determined is the estimate of discharge at the specific exceedence probabilities or recurrence intervals. In addition, 90% upper confidence intervals were set for all stations at each exceedence probability. Smaller sub-sets of data from each station were analyzed for flood flow frequency at intervals of 10 years. The sub-set analysis of the 100-year flood was determined using the same methodology as the Log-Pearson Type III described above, including skew adjustment. No confidence intervals were estimated in this analysis. Results The results of the flood frequency analysis for the select gaging stations in the San Benito River, Pájaro River and tributaries are summarized in Table 2, and confidence intervals are graphed as shown in Figure 1. Station Name Station Number Years of record Calculated 100-year flood Q cfs Calculated 50- year flood Q cfs Calculated 25-year flood Q cfs Pájaro at Chittenden 11159000 62 30172.03 26759.25 22654.49 San Benito at 156 11158600 31 7157.91 7052.91 6813.80 San Benito near Hollister 11158500 33* 30234.73 21948.87 15034.67 DRAFT 7/22/03 22 Pajaro Watershed Flood Management

where:<br />

g adj is the adjusted skew<br />

g s is the standardized skew<br />

n is the sample size<br />

For several exceedence probabilities (p) ranging from 0.99 (1.01-year<br />

recurrence interval) to 0.01 (100-year recurrence interval), the values of the<br />

standardized variate K were obtained using tables included in the Bulletin 17B report<br />

for the adjusted skew value. <strong>The</strong> Log-Pearson Type III estimates are determined from<br />

the following equation:<br />

K<br />

(g adj )<br />

Y LT = Ŷ LT + KS LT<br />

where:<br />

Y LT is the log of the estimated discharge for the exceedence probability at<br />

Y LT is the mean of the log-transformed sample<br />

K is the Log-Pearson Type III variate determined using the adjusted skew<br />

S LT is the standard deviation of the log-transformed sample<br />

<strong>The</strong> antilog of the Y LT values determined is the estimate of discharge at<br />

the specific exceedence probabilities or recurrence intervals. In addition, 90% upper<br />

confidence intervals were set for all stations at each exceedence probability.<br />

Smaller sub-sets of data from each station were analyzed for flood flow<br />

frequency at intervals of 10 years. <strong>The</strong> sub-set analysis of the 100-year flood was<br />

determined using the same methodology as the Log-Pearson Type III described<br />

above, including skew adjustment. No confidence intervals were estimated in this<br />

analysis.<br />

Results<br />

<strong>The</strong> results of the flood frequency analysis for the select gaging stations<br />

in the San Benito <strong>River</strong>, <strong>Pájaro</strong> <strong>River</strong> and tributaries are summarized in Table 2, and<br />

confidence intervals are graphed as shown in Figure 1.<br />

Station Name<br />

Station<br />

Number<br />

Years of<br />

record<br />

Calculated<br />

100-year<br />

flood Q cfs<br />

Calculated 50-<br />

year flood Q cfs<br />

Calculated<br />

25-year<br />

flood Q cfs<br />

<strong>Pájaro</strong> at Chittenden 11159000 62 30172.03 26759.25 22654.49<br />

San Benito at 156 11158600 31 7157.91 7052.91 6813.80<br />

San Benito near Hollister 11158500 33* 30234.73 21948.87 15034.67<br />

DRAFT 7/22/03<br />

22<br />

<strong>Pajaro</strong> <strong>Watershed</strong> <strong>Flood</strong> Management

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