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<br />Though it is possible to estimate capture probability using <br />only marked animals known to be alive because of subsequent <br />recaptures, as in the Jolly-Seber model (Jolly, 1965; Seber, <br />1965), this method limits the sample size available to estimate <br />capture probability and does not help with parameter con- <br />founding in the terminal year. In ASMR, the virtual population <br />analysis structure allows the use of both marked and unmarked <br />animals in the calculation of capture probability, but confound- <br />ing between mortality tmd capture probability is not explic- <br />itly minimized via model structure. Retrospective analyses <br />illustrate how perceptions of key population parameters, such <br />as mortality rate, have been modified as more information <br />becomes available, particularly following publication of Cog- <br />gins and others (2006a and 2006b). These analyses are also <br />useful in understanding how large changes in sampling inten- <br />sity and protocols (e.g., minimal sampling in the LCR during <br />1996-99) may bias or otherwise distort understanding of HBC <br />population dynamics based on capture-recapture analyses. <br />The primary objective of this report is to provide an <br />updated stock assessment for the LCR population of HBC <br />using data collected during 1989-2006. This assessment <br />includes catch-rate indices, closed population mark-recapture <br />model abundance estimates, the original ASMR model (Cog- <br />gins and others, 2006b), and a newly refined ASMR model <br />(detailed below). Coggins and others (2006a) used data <br />collected during 1989-2002, and this report includes that <br />data and additional data collected through 2006. Supporting <br />objectives include (1) formally evaluating alternative stock <br />assessment models using Pearson residual statistics and <br />information theoretic metrics (Burnham and Anderson, 2(02), <br />(2) using mark-recapture data to estimate the relationship <br />between HBC age and length, (3) translating uncertainty in <br />the assignment of individual tish age to resulting estimates of <br />recruitment and abundance from the ASMR model, and (4) <br />evaluating past and present stock assessments considering the <br />available data sources and analyses, recognizing the limita- <br />tions inherent in both. <br />The ongoing monitoring program for HBC in Grand Can- <br />yon has varied in intensity over the years, but the primary sam- <br />ple locations, techniques, and personnel have remained remark- <br />ably consistent (Coggins and others, 2006a). Insight into the <br />performtmce of the model is provided by conducting the annual <br />stock assessment and continuously evaluating the performance <br />of the assessment with retrospective analyses, independent peer <br />evaluations, and tests of the model with simulated data. This <br />comprehensive examination may prove useful to other adaptive <br />management programs that seek to develop a robust monitor- <br />ing component. In particular, the model may provide insight <br />into (1) the limitations of monitoring alone in assigning cause <br />and ,effect in association with prescriptive management actions, <br />(2) the pathologies associated with large changes in monitor- <br />ing protocols, and (3) a realistic assessment of the considerable <br />uncertainty in results for a rare, elusive, long-lived organism, <br />even after many years of intensive monitoring. <br /> <br />3 <br /> <br />Methods <br /> <br />The methods employed for this analysis are presented <br />in three separate sections. Section 1 describes methods used <br />to update the 2002 HBC assessment metrics as presented in <br />Coggins and others (2006a) and to refine the ASMR models. <br />Additionally, section 1 describes the criteria used to assess <br />model fit for each of the ASMR models. Section 2 outlines <br />the methods used to estimate the relationship between HBC <br />age and length based on mark-recapture information. Finally, <br />section 3 describes the Monte Carlo simulations conducted <br />to capture the uncertainty in the abundance and recruitment <br />estimates that result from uncertainty in age assignment. <br /> <br />Section 1-2006 Humpback Chub Assessment <br />Update with Refinements <br /> <br />Monitoring efforts for the humpback chub began in <br />1987 when a standardized hoop-net sampling program was <br />implemented in the lower reaches of the Little Colorado River. <br />During the subsequent 19 years, four stmlpling periods can <br />be generally defined that correspond to different levels of <br />sampling effort and protocol (Coggins and others 2006a). The <br />initial sampling period (1987-91> consisted mainly of lim- <br />ited hoop netting in the lower 1,200 m of the LCR. Sampling <br />period 2 (1991-95) involved an intensive sampling effort in <br />both the LCR and the mainstem Colorado River as pmt of an <br />environmental impact statement on the operation of Glen Can- <br />yon Dam (U.S. Department of the Interior, 1995). The third <br />smnpling period (1996-2000) also included both the Colo- <br />rado River and the LCR but with severely reduced intensities <br />compared to period 2. The tinal sampling period (2000-06) <br />involved a higher sampling intensity relative to period 3 but <br />decreased relative to period 2. During each of these sampling <br />periods, HBC have been collected using multiple types of <br />gear, including hoop nets and trammel nets in the LCR. and <br />this same gear plus pulsed-DC eIectrofishing in the mainstem <br />Colorado River (Valdez tmd Ryel, 1995; Douglas and Marsh, <br />1996; GOIman and Stone. 1999; Coggins and others, 2006a). <br /> <br />Index-Based Metrics <br /> <br />Although index-based metrics (e.g., catch rate) can be <br />unreliable in tracking trends in population size (MacKenzie <br />and others, 2006), these indices are frequently examined and <br />are potentially useful for comparison with previous assess- <br />ment efforts. With this caveat in mind and following Coggins <br />and others (2006a), two long-term catch-rate time series were <br />updated with data from 20m through 2006, including (1) <br />hoop-net catch rate ofHBC in the lower 1,200 m oUhe LCR <br />and (2) trammel-net catch rate of HBC in the LCR inflow <br />reach of the Colorado River (defined as approximately 9 km <br />upstream and 11 km downstream of the confluence; Valdez <br />