<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 />
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