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<br />distributions between the marked and captured portions of the population, it is <br />appropriate to, stratify the data into one or more length categories to reduce bias <br />in the abundance estimate (Bernard and Hansen 1992). <br /> <br />In addition, we searched for significant differences in mark rate among the <br />three geographic strata. We found no significant difference (x2 = 2.53, df = 2, P = <br />0.28) in the mark rate among the Salt, Coyote and Boulders reaches (Table 6). <br />Upon further testing, we found that there was not a significant difference in the <br />mark rates among the three sub-reaches within each reach (x2 = 13.43, df = 8, P <br />= 0.098). The above tests suggest it was not necessary to stratify the data by <br />geographic reach to obtain an estimate. <br /> <br />The optimal length stratification is found by choosing length boundaries in a <br />contingency table of unmarked and marked fish (e.g., Table 5) that maximizes <br />the homogeneity in mark rate among length groups (Seber 1982, Bernard and <br />Hansen 1992)., When this procedure was performed, it was found that the <br />optimal stratification occurred at 250 mm (x2 = 15.47). This means that <br />independent estimates were produced for HBC from 150 to 250 mm and for HBC <br />> 250 mm (Table 7). The resulting and preferred summed estimate for HBC ~ <br />150 mm is 2,334 fish (SE = 411). Table 8 and Figure 11 show this estimate as <br />compared against historical estimates. <br /> <br />Since the Recovery Goals for HBC (USFWS 2002) focus on abundance <br />estimates of fish ~ 200 mm (i.e., 4+ year old adults; USFWS 2002), estimates are <br />presented relating to their abundance. First, the data set was truncated to <br />include only fish ~ 200 mm. During April, 184 unique HBC ~ 200 mm were <br />marked [M]. During May, 229 unique HBC ~ 200 mm were captured [C], and 28 <br />unique HBC ~ 200 mm were recaptured [R]. The smallest HBC recaptured [R] <br />had a total length of 200 mm, and the largest recaptured was 385 mm in TL. <br />Using two-tailed Kolmogorov-Smirnov tests, the cumulative length distribution of <br />marked [M] HBC was significantly different from captured [C] HBC (n1 = 184, n2= <br />229, Z = 2.491, P < 0.001). Likewise, the cumulative length distribution of <br />marked [M] HBC was significantly different than recaptured [R] HBC (n1 = 184, n2 <br />= 28, Z = 2.247, P < 0.001). The typical conclusion drawn from these test results <br />is that there was significant size selective sampling during both the marking and <br />recapture events (Bernard and Hansen 1992), or that stratifying the data by <br />length to obtain an estimate is desirable. The optimal stratification occurred at <br />250 mm TL (Le., independent estimates were produced for HBC <251 and for <br />HBC > 250). The resulting pooled estimate was 1,763 fish (SE = 398). <br />However, because it should result in less bias to use the entire data base rather <br />than truncating it (Seber 1982), the Chapman modified Petersen estimate of HBC <br />~ 150 to 250 mm (984 fish; see Table 7) was multiplied by the proportion offish <br />from 200 to 250 mm, providing an estimate of 467 fish in the 200-250 mm <br />category. This abundance estimate was then summed with the Chapman <br />modified Petersen length stratified abundance estimate of 1,349 fish >250 (see <br />Table 7). The resulting, and preferred estimate for HBC > 200 mm was 1,816 <br />fish (SE = 397). Table 9 and Figure 12 show this estimate as compared against <br />the spring estimates for the past three years. <br /> <br />21 <br />