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<br />on growth has been focused on these smaller individuals. The
<br />analyses described in this report address the effect of tempera-
<br />ture on growth rate ofHBC and attempt to estimate the length
<br />at which fish transition from primarily LCR occupancy to
<br />primarily mainstem occupancy. The general implication from
<br />the tindings reported herein is that growth rate will increase
<br />substantially with a tempemtureincrease from HfC to 20"C, as
<br />is indicated by the values of Q< = 4.6 and Qm = 2.0. These coef-
<br />ficients suggest that anabolic processes will more than double
<br />relative to catabolic processes across this temperature range.
<br />As an additional evaluation of the results of the analy-
<br />sis. monthly growth rates from the TDGM were compared to
<br />laboratory observations of juvenile HBC growth. Clarkson and
<br />Childs (2000) conducted laboratory experiments to evaluate
<br />the growth rate of larval HBC at WOC, 140C, and 200C. They
<br />report monthly growth rates of I mm/month, 13 mm/month,
<br />and 17 mm/month for these temperatures, respectively. Con-
<br />sidering the estimated monthly growth rates from the TDGM
<br />in tigure 24, the TDGM tends to overestimate the growth rates
<br />reported by Clarkson and Childs (2000) at WOC and underes-
<br />timate the growth rate at 20"C. However, the results reported
<br />herein are in overall agreement with the laboratory study.
<br />The TDGM and related age-length function should be of
<br />considerable use to researchers studying HBC throughout the
<br />Colorado River Basin. Additionally, this case history should
<br />also be useful to anyone wishing to recover temperature-
<br />dependent bioenergetic parameters for fish using capture-
<br />recapture data, or to estimate the relationship and a<ssociated
<br />uncertainty between fish age and length using non-lethal
<br />techniques. This technique shows considerable promise in
<br />extracting useful information on fish growth from field data,
<br />rather than from laboratory studies, where such information is
<br />typically obtained.
<br />
<br />Incorporation of Ageing Error in ASMR
<br />Assessments
<br />
<br />A major criticism of the ASMR technique, as previously
<br />applied. is that it does not explicitly account for uncertainty
<br />in the assignment of age to individual tish (Kitchell and oth-
<br />ers. 20(3). As a result, abundance, recruitment, and mortality
<br />estimates may contain excessive bias. Additionally, estimates
<br />of precision are likely overstated by not incorporating this
<br />important source of uncertainty. The analyses presented in
<br />this report attempt to address these concems by constructing a
<br />more rigorous model to predict length as a function of age and
<br />to incorporate uncertainty fi'om age assignments into estimates
<br />of abundance and recruitment. Coggins and others (2006b)
<br />conducted sensitivity analyses on the effect of random ageing
<br />en-or and found little systematic bias in reconstructed recmit-
<br />ment trends. However, the cUlTent analysis is a more rigorous
<br />treatment of the problem and has two major implications.
<br />First, model results of estimated adult abundance are still
<br />very precise even when uncertainty in the assignment of age is
<br />explicitly accounted for in the assessment. Following reviews
<br />
<br />15
<br />
<br />by Kitchell and others (2003) and Otis and Wickham (U.S.
<br />Geological Survey, written commun., 2(06), this assessment
<br />lends additional credibility to results frol1l ASMR, indicating
<br />that it provides a rigorous measure of the state of the adult
<br />portion of the LCR HBC population. It is recommended that
<br />this assessment be considered "best available science" for use
<br />in contemplating management decisions both within the Glen
<br />Canyon Dam Adaptive M.magement Program and the U.S.
<br />Fish and Wildlife Service.
<br />Second, this analysis points out the difficulty that open
<br />population models generally have in the precise estimation
<br />of recruitment (Williams and others, 200 I; Pine and others,
<br />20(3). Because many of the most critical management ques-
<br />tions for HBC center around how best to improve recruitment,
<br />pal1icularly considering improved rearing conditions in the
<br />mainstem Colorado River, it will be difficult for ASMR to
<br />detect statistically significant changes in recruitment, unless
<br />those changes are quite large. As a result, experimental
<br />adaptive management actions designed to increa<;e recruit-
<br />ment should consider first and foremost how to achieve large
<br />changes in recruitment. Small-scale experimental treatments
<br />of short duration, or so-called "mini-experiments," should be
<br />summarily discounted recognizing that the monitoring pro-
<br />gram is unlikely to detect small recruitment change even if it
<br />occurs. Additionally, multiyear experiments should be strongly
<br />favored in order to help offset not only unexpected and uncon-
<br />trollable effects, but the low precision in recruitment estimates.
<br />
<br />Acknowledgements
<br />
<br />For their thorough review of the GCMRC assessment
<br />methodology, I would like to thank members of the Hump-
<br />back Chub Assessment Review Panel: James F. Kitchell,
<br />Churchill Grimes, Steven T. Lindley, David Otis, and Carl
<br />Schwarz. Steve Martell is acknowledged for his help and
<br />council in developing ADMB programs and conceptualizing
<br />how to incorporate ageing elTor into the cun'ent assessment
<br />program. Carl Walters, Bill Pine, Mike Allen, and Tom Frazer
<br />are deserving of thanks for early reviews and suggestions
<br />that much improved this manuscript. I would also like to
<br />thank Tina Kister and Lara Schmit for publication assistance.
<br />Finally. and perhaps most deservedly, my thanks to field crews
<br />past and present whose tireless efforts provide the data upon
<br />which this assessment relies completely.
<br />
<br />References
<br />
<br />Akaike, H.x., 1973, Information theory as an extension of the
<br />maximum likelihood principle, in Petrov, B.N., and Csaki,
<br />F., eds., Intemational symposium on information theory,
<br />2nd, Akademiai Kiado, Budapest, 1973 [Proceedings], p.
<br />267-281.
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