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1254 <br />1600 <br />1400 <br />1200 <br />1000 <br />800 <br />z 600 <br />400 <br />200 <br />MARSH ET AL. <br />FIGURE 1. Number of unmarked and marked razor- <br />back suckers captured during annual springtime sam- <br />pling in Lake Mohave, Arizona and Nevada, 1991-2002. <br />Data are from calculations of annual single-census pop- <br />ulation estimates (Chapman modification of the Peterson <br />method; Ricker 1975). The solid line with triangles rep- <br />resents M, the number of fish marked during the marking <br />or previous year. The thick line is the trend line from <br />the regression of M versus time. The dotted line with <br />squares represents R, the number of marked fish captured <br />in the sampling or current year that were originally <br />marked in the marking year. <br />number of fish marked in 1991 and not necessarily <br />to a catastrophic event. After a decade of sampling, <br />the population estimate for 2001 is only 13% of <br />the 1992 estimate. Data indicate a significant <br />downward trend over time for the razorback sucker <br />population (R2 = 0.67; Figure 1). An apparent neg- <br />ative trend in R was not significant (R2 = 0.16). <br />Although N* generally gives an unbiased esti- <br />mate, statistical bias in the marking year 1999 <br />needs to be addressed, because an R of fewer than <br />4 fish makes bias probable (there was only one <br />capture in 2000 of the fish marked in 1999). Fur- <br />ther, the condition of an unbiased estimate of N* <br />if (M + C) > N* is not met for any of the years, <br />and therefore N* has a negative bias, which results <br />in underestimation of the number of fish (Ricker <br />1975). <br />For the PVA, R was estimated through linear <br />regression as -0.27, U2 as 0.036, and the average <br />population growth rate (A-) as 0.78 (95% CLs = <br />0.69, 0.87). The population growth rate value pre- <br />dicts a decrease in the average of population <br />curves. The analysis of variance results indicated <br />that regression analysis was nonsignificant (P > <br />0.05), and therefore PVA was suitable for the data. <br />Mean time (years) to extinction was estimated to <br />be 14.65 (95% CLs = 9.84, 20.395), 12.10 (95% <br />CLs = 8.13, 16.84), and 6.19 (95% CLs = 4.16, <br />8.62) for thresholds of 50, 100, and 500 individ- <br />uals, respectively (Figure 2). Median time to ex- <br />tinction, which is the time at which extinction <br />I <br />0.9 <br />0.8 <br />c 0.7 <br />06 <br />4 <br />01, <br />> 03 <br />0.2 <br />U a <br />r <br />5 10 15 20 25 30 <br />Yews <br />- - 50 indviduals --- -100 individuals -500 mdividuels <br />FIGURE 2.-Cumulative probability of extinction for <br />the razorback sucker population in Lake Mohave over <br />time. Estimates were calculated from N*, the annual sin- <br />gle-census population estimate for the marking year <br />2002 (Chapman modification of the Peterson method; <br />Ricker 1975). The dotted line at the y-axis value of 0.5 <br />represents the median time to extinction. The broken <br />line at 0.95 represents the point at which the probability <br />of population persistence is 5%. <br />probability reaches a value of 0.5, was similar to <br />the mean (Figure 2). The CDF also showed that a <br />5% probability of persistence would be attained <br />for thresholds 50, 100, and 500 individuals in ap- <br />proximately 20, 17, and 9 years, respectively. The <br />probability of ultimate extinction for all thresholds <br />combined could be realized within 24 years from <br />now. <br />Discussion <br />The results of our study predict that the Lake <br />Mohave population of adult razorback suckers is <br />rapidly dwindling toward functional extirpation. <br />Marsh and Minckley (1992) previously found no <br />detectable change in annual mark-recapture pop- <br />ulation estimates over the 5-year period, 1986- <br />1991. Similarly, from 1974 to 1981 and from 1981 <br />to 1991, there was no evidence of change in ra- <br />zorback sucker catch per unit effort (Minckley <br />1983; Bozek et al. 1984; Marsh and Minckley <br />1992). Population estimates have consistently de- <br />creased over the last 11 years. Although fishing <br />effort remained relatively constant from 1991 <br />through 2002, total razorback sucker catch de- <br />creased, while the proportion of marked captures <br />slightly increased (Figure 1). This result is con- <br />sistent with a decline in overall abundance due to <br />mortality. As predicted in Figure 2, time to ex- <br />tinction could be as short as 6 years for remaining <br />razorback suckers. Only in both the marking and <br />sampling year 2000 was C equal to M, which was <br />probably due to the absence of captures of fish <br />marked in 1999. This was likely a result of mark- <br />ing only 33 of a possible 244 fish, which also was <br />reflected in R from the 2000 sampling year. <br />M <br />1991 1992 1993 1994 1995 19% 1997 1998 1999 2000 2001 2002 <br />Year