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<br />LITTLE COLORADO RIVER HUMPBACK CHUB <br /> <br />235 <br /> <br />TABLE I.-Sample sizes of humpback chub by year, gear type, and location. Values for nets are the numbers of net sets; <br />values for electrofishing are the numbers of shoreline sections (typically 100-400 m in length) sampled. The Colorado River <br />samples were collected in the Little Colorado River inflow reach (approximately 9 Ian upstream and II Ian downstream of the <br />confluence with the Little Colorado River). The little Colorado River samples were collected within 15 Ian of the confluence <br />with the Colorado River. <br /> <br /> Colorada River Little Colorado River <br />Year Electroflshing Trammel netting Hoop netting Trammel netting Hoop netting <br />1987 85 142 <br />1988 179 399 <br />1989 177 454 <br />1990 20 142 73 356 <br />1991 231 1,076 4 319 2,826 <br />1992 407 847 198 3,712 <br />1993 558 1.104 15 146 4,602 <br />1994 37 19 2 103 3,885 <br />1995 137 71 2,371 <br />1996 89 122 4 1.114 <br />1997 89 163 20 936 <br />1998 70 42 372 27 1,435 <br />1999 106 54 550 12 1.046 <br />2000 225 344 284 7 2,700 <br />2001 47 1,098 605 64 2,651 <br />2002 168 120 199 I 2,998 <br />2003 119 100 108 8 2.786 <br />Total 2,303 5,231 2.139 1,494 34,413 <br /> <br />integrated transponder (PIT) tags to provide a unique, <br />long-term identification mark. Capture-recapture data <br />were used in a simple, two-sample closed-population <br />model to estimate population size (N) and two Jolly- <br />Seber-type open-population models to generate esti- <br />mates of capture probability (fJ), rate of population <br />change (),.), and population size (Seber 1982; Williams <br />et al. 2(02). We used an extension of the Jolly-Seber <br />population model to incorporate information on age at <br />first capture (pollock 1981) to estimate mortality, <br />capture probability, and LCR population size with the <br />program MARK (White and Burnham 1999). We also <br />used methods presented by Pradel (1996) to estimate <br />the rate of population change directly without having to <br />estimate population size. <br />In addition, we developed a new age-structured, <br />open-population capture-recapture model (ASMR) <br />similar to the Jolly-Seber models but developed <br />specifically to address analysis needs related to this <br />robust capture-recapture data set. The ASMR model <br />predicts age at first capture from length, the numbers of <br />marked and unmarked fish at risk of capture from the <br />age-specific survival rate, and age- and time-specific <br />capture probabilities. Details of the ASMR model are <br />provided in the companion paper in this issue (Coggins <br />et al. 2006, this issue). <br />Model background.--Capture-recapture methods <br />have rigorous assumptions and are broadly defined as <br />"closed" or "open" depending on whether the <br />population is allowed to change over the sample <br />interval (open models) or not (closed models). Short- <br /> <br />term capture-recapture studies are usually closed- <br />population estimates and are based on the assumption <br />that all members of the population are vulnerable to <br />sampling and that no animals leave or enter the <br />population between sampling occasions. Open-popula- <br />tion models allow for changes in the population due to <br />births, deaths, and movement into and out of the area <br />and are generally more suited for longer-tenn studies <br />(Pine et al. 2003). <br />Most multiyear capture~ecapture studies use some <br />variation of the classic open Jolly--Seber model to <br />estimate population size, recruitment, and survival <br />(Jolly 1965; Seber 1965; Pollock et al. 1990). A key <br />assumption of open-population models is that every <br />animal (both marked and unmarked) present in the <br />population during a sampling period has the same <br />probability of being captured. Parameter estimates from <br />open-population models can be biased if capture <br />probabilities are heterogeneous (pollock et al. 1990). <br />In many fisheries applications, much of this heteroge- <br />neity in capture probability is related to animal age. <br />Incorporating age information into the Jolly-Seber <br />model reduces estimation bias by accounting for this <br />heterogeneity in capture probability (pollock 1981; <br />Pollock et al. 1990). <br />Closed-population mode/s.-Between 2001 and <br />2003, we made a series of two-pass, closed-population <br />abundance estimates of humpback chub (TL > 150 <br />mm) in the lower 14.2 km of the LCR during two 12- <br />14-d annual spring sampling trips. Population size and <br />variance were estimated using a Chapman-modified, <br />