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      Genetic and phenotypic parameters for body weights, harvest length, and growth curve parameters in American mink

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          Abstract

          Understanding the genetics underlying growth curve is important for selection of animals with better growth potential, but little is known about the genetics of growth curve parameters in mink. This study estimated the genetic parameters for body weights (BWs), harvest length (HL), and growth parameters derived from the Richards model. For this purpose, individual BW of 1,088 mink measured seven times in 3-wk intervals (weeks 13 to 31 of life) were used for growth curve modeling using the Richards model. The BW traits included BW at week 13 (BW13), 16 (BW16), 19 (BW19), 22 (BW22), 25 (BW25), 28 (BW28), and 31 (BW31). Univariate analyses indicated that sex and birth-year had significant effects ( P < 0.05) on BW, HL, asymptotic weight (α), growth rate at mature ( k), shape parameter ( m), weight at the inflection point (WIP), and age at the inflection point (AIP). In contrast, the color type had only significant effect ( P < 0.05) on BW31 and HL. Estimated heritabilities (±SE) were ranged from 0.36 ± 0.13 (BW13) to 0.46 ± 0.10 (BW22) for BW and were 0.51 ± 0.09, 0.29 ± 0.09, 0.30 ± 0.09, 0.33 ± 0.1, 0.44 ± 0.10, and 0.47 ± 0.10 for HL, α, k, m, WIP, and AIP, respectively. The parameter α had non-significant ( P > 0.05) genetic correlations (±SE) with k (−0.21 ± 0.23) and m (−0.10 ± 0.22), suggesting that changing shape parameters ( k and m) will not influence asymptotic weight (α). Strong significant ( P < 0.05) phenotypic (from 0.46 ± 0.03 to 0.60 ± 0.03) and genetic (0.70±0.13 to 0.88±0.09) correlations were observed between HL and different BW measures. The α, AIP, and WIP parameters had significant ( P < 0.05) genetic correlations with HL indicated that selection for higher α, AIP, and WIP values would increase HL. Parameters k and m had nonsignificant ( P > 0.05) genetic correlations with HL, indicating the change of the curve shape could not influence HL. Overall, the results suggest that growth curve parameters are heritable and can respond to genetic or genomic selection for optimizing the performance in mink.

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          Most cited references38

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          A Versatile Growth Model with Statistically Stable Parameters

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            Variance components due to direct and maternal effects for growth traits of Australian beef cattle

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              Richards model revisited: validation by and application to infection dynamics.

              Ever since Richards proposed his flexible growth function more than half a century ago, it has been a mystery that this empirical function has made many incredible coincidences with real ecological or epidemic data even though one of its parameters (i.e., the exponential term) does not seem to have clear biological meaning. It is therefore a natural challenge to mathematical biologists to provide an explanation of the interesting coincidences and a biological interpretation of the parameter. Here we start from a simple epidemic SIR model to revisit Richards model via an intrinsic relation between both models. Especially, we prove that the exponential term in the Richards model has a one-to-one nonlinear correspondence to the basic reproduction number of the SIR model. This one-to-one relation provides us an explicit formula in calculating the basic reproduction number. Another biological significance of our study is the observation that the peak time is approximately just a serial interval after the turning point. Moreover, we provide an explicit relation between final outbreak size, basic reproduction number and the peak epidemic size which means that we can predict the final outbreak size shortly after the peak time. Finally, we introduce a constraint in Richards model to address over fitting problem observed in the existing studies and then apply our method with constraint to conduct some validation analysis using the data of recent outbreaks of prototype infectious diseases such as Canada 2009 H1N1 outbreak, GTA 2003 SARS outbreak, Singapore 2005 dengue outbreak, and Taiwan 2003 SARS outbreak. Our new formula gives much more stable and precise estimate of model parameters and key epidemic characteristics such as the final outbreak size, the basic reproduction number, and the turning point, compared with earlier simulations without constraints. Copyright © 2012 Elsevier Ltd. All rights reserved.
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                Author and article information

                Journal
                J Anim Sci
                J Anim Sci
                jansci
                Journal of Animal Science
                Oxford University Press (US )
                0021-8812
                1525-3163
                March 2021
                15 February 2021
                15 February 2021
                : 99
                : 3
                : skab049
                Affiliations
                Department of Animal Science and Aquaculture, Dalhousie University , Truro, Nova Scotia, B2N 5E3, Canada
                Author notes
                Corresponding author: miar@ 123456dal.ca
                Author information
                https://orcid.org/0000-0001-9933-5414
                Article
                skab049
                10.1093/jas/skab049
                7985983
                33585905
                659c279a-dd92-4163-9112-42a64a331db4
                © The Author(s) 2021. Published by Oxford University Press on behalf of the American Society of Animal Science.

                This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial License ( http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com

                History
                : 21 November 2020
                : 09 February 2021
                : 23 March 2021
                Page count
                Pages: 7
                Categories
                Animal Genetics and Genomics
                AcademicSubjects/SCI00960

                genetic parameters,growth curve,mink,nonlinear models,richards

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