Abstract
Small yellow croaker, Larimichthys polyactis, is a commercially important species in China. The uncertainty in its main life history parameters has not been addressed. Evaluation of the uncertainty in these parameters is urgently needed for quant if ic a t i on of the uncertainty level in stock assessment. Small yellow croaker off the coast of China was divided into five groups according to the intensive survey regions. The posterior probability distributions of the parameters on the growth, length-weight relationship, length-fecundity relationship (LFR) and the natural mortality rate were estimated for each group using the Bayesian hierarchical model (BHM). The posteriors of these parameters were also calculated just at species level using the common Bayesian model (CBM). The estimate of a particular life history parameter and its possible range were obtained for each group of small yellow croaker, which can be used to quantify the uncertainty level in stock assessment. But The LFR parameter, especially af, is still uncertain for all groups. More studies are also needed to reduce the uncertainty in natural mortality rate for small yellow croaker in Bohai Sea and North Yellow Sea. BHM can improve the estimate of the parameter. But the precision of the estimate is influenced by both the dataset size and the dataset dispersion of a group. At species level the parameter was estimated more precisely by CBM than by BHM due to the simple model structure and the large dataset size.
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References
Charles AT (1998) Living with uncertainty in fisheries: Analytical methods, management priorities and the Canadian groundfishery experience. Fish Res 37(1–3):37–50. doi:https://doi.org/10.1016/S0165-7836(98)00125-8
Chen M, Lu Z, Du J, Yang S (2010) Changes in ecological parameters of small yellow croaker, Pseudosciaena ployactis, in eastern Fujian fishing ground. J Xiamen Univ 49(2):260–265 (in Chinese)
Chen Y, Wilson C (2002) A simulation study to evaluate impacts of uncertainty on the assessment of American lobster fishery in the Gulf of Maine. Can J Fish Aquat Sci 59(8):1394–1403. doi:https://doi.org/10.1139/F02-102
Froese R (2006) Cube law, condition factor and weight–length relationships: History, meta-analysis and recommendations. J Appl Ichthyol 22(4):241–253. doi:https://doi.org/10.1111/j.1439-0426.2006.00805.x
Froese R, Pauly D (2018) FishBase. http://www.fishbase.org Accessed 20 Jun 2018
Froese R, Thorson JT, Reyes Jr RB (2014) A Bayesian approach for estimating length-weight relationships in fishes. J Appl Ichthyol 30(1):78–85. doi:https://doi.org/10.1111/jai.12299
Froese R, Tsikliras AC, Stergiou KI (2011) Editorial note on weight-length relations of fishes. Acta Ichthyol Piscat 41(4):261–263. doi:https://doi.org/10.3750/aip2011.41.4.01
Gelman A, Rubin DB (1992) Inference from iterative simulation using multiple sequencesStat Sci 7(4):457–511
Gislason H, Daan N, Rice JC, Pope JG (2010) Size, growth, temperature and the natural mortality of marine fish. Fish Fish 11(2):149–158. doi:https://doi.org/10.1111/j.1467-2979.2009.00350.x
Guo X, Jin X, Dai F (2006) Growth variations of small yellow croaker (Pseudosciaena ployactis Bleeker) in the Bohai Sea. J Fish Sci China 13(2):243–249 (in Chinese)
Hamel OS (2015) A method for calculating a meta-analytical prior for the natural mortality rate using multiple life history correlates. ICES J Mar Sci 72(1):62–69. doi:https://doi.org/10.1093/icesjms/fsu131
Hewitt DA, Hoenig JM (2005) Comparison of two approaches for estimating natural mortality based on longevity. Fish B-NOAA 103(2):433–437
Hilborn R, Walters CJ (1992) Quantitative fisheries stock assessment: Choice, dynamics, and uncertainty. Chapman and Hall, New York, 570 p
Hu H, Ye Z, Li Z, Wang M, Wen Q, Yu H (2015) A preliminary study on the biology of the spawning stock of small yellow croaker (Pseudosciaena ployactis) inhabiting the near shore of southern Yellow Sea. Period Ocean Univ China 45(12):43–45. doi: https://doi.org/10.16441/j.cnki.hdxb.20140325 (in Chinese)
Jin X (1996) Ecology and population dynamics of small yellow croaker (Pseudosciaena ployactis Bleeker) in the Yellow Sea. J Fish Sci China 3(1):32–46 (in Chinese)
Kruschke JK (2015) Doing Bayesian data analysis: A tutorial with R, JAGS and Stan. Academic Press, New York, 759 p
Lapointe MF, Peterman RM, MacCall AD (1989) Trends in fishing mortality rate along with errors in natural mortality can cause spurious time trends in fish stock abundances estimated by virtual population analysis (VPA). Can J Fish Aquat Sci 46(12):2129–2139. doi:https://doi.org/10.1139/f89-263
Li Z, Jin X, Shan X, Dai F (2011a) Inter-annual changes on body weight-length relationship and relative fatness of small yellow croaker (Larimichthys polyactis). J Fish Sci China 18(3):602–610. doi:https://doi.org/10.3724/SP.J.1118.2011.00602 (in Chinese)
Li Z, Shan X, Jin X, Dai F (2011b) Long-term variations in body length and age at maturity of the small yellow croaker (Larimichthys polyactis Bleeker, 1877) in the Bohai Sea and the Yellow Sea, China. Fish Res 110(1):67–74. doi:https://doi.org/10.1016/j.fishres.2011.03.013
Lin L (2005) Study on the dynamic characteristic of fishery biology and the fishery resource management of redlip croaker in the East China Sea region. M.D. Thesis, Shanghai Fisheries University, 39 p (in Chinese)
Lin L (2009) Study on the fishery biology and management strategy of Larimichthys ployactis in the southern Yellow Sea and the East China Sea. Ph.D. Thesis, Ocean University of China, 98 p (in Chinese)
Lin L, Cheng J, Li H (2008) The fishery biology of Trichiurus japonicus and Larimichthys ployactis in the East China Sea region. Mar Fish 30(2):126–134 (in Chinese)
Lin L, Cheng J, Ling J, Zhang H (2006a) First capture sizes of major commercial fishes in the East China Sea region. J Fish Sci China 13(2):250–256 (in Chinese)
Lin L, Liu Z, Jiang Y, Huang W, Gao T (2011) Current status of small yellow croaker resources in the southern Yellow Sea and the East China Sea. Chin J Oceanol Limn 29(3):547–555. doi:https://doi.org/10.1007/s00343-011-0182-8
Lin L, Zheng Y, Cheng J, Liu Y, Ling J (2006b) A preliminary study on fishery biology of main commercial fishes surveyed from the bottom trawl fisheries in the East China Sea. Mar Sci 30(2):21–42 (in Chinese)
Lin X, Deng S, Huang Z, Wang Q (1965) Study of population on biometrics of small yellow croaker (Pseudosciaena ployactis Bleeker). In: Zhu Y, Zhu S (eds) Collections of marine fishery resource. China Agriculture Press, Beijing, pp 84–106 (in Chinese)
Liu Q, Xu B, Ye Z, Ren Y (2012) Growth and mortality of small yellow croaker (Pseudosciaena ployactis) inhabiting Haizhou Bay of China. J Ocean Univ China 11(40):557–561. doi:https://doi.org/10.1007/s11802-012-2099-z
Liu W, Guo Z, Zhan B (1999) Analysis on the current exploitation of Pseudosciaena ployactis in the East China Sea. J Shanghai Fish Univ 8(2):105–111 (in Chinese)
Liu X (1990) Small yellow croaker (Pseudosciaena ployactis). In: {ieFishery Bureau of Ministry of Agriculture} (ed) Investigation and division of fisheries resource in the Bohai Sea and the Yellow Sea. China Ocean Press, Beijing, pp 191–200 (in Chinese)
Liu X, Guo D, Wang A, Dong J, Wang X, Duan Y, Chai Y (2018) Growth characteristics of small yellow croaker Larimichthys polyactis in the Liaodong Bay. Mar Fish 40(2):139–146. doi:https://doi.org/10.13233/j.cnki.mar.fish.2018.02.002 (in Chinese)
Liu Z, Xie H, Yan L, Yuan X, Yang L, Li Y, Wu Y, Cheng J (2013) Comparative population dynamics of small yellow croaker Larimichthys ployactis in southern Yellow Sea and East China Sea. J Dalian Ocean Univ 28(6):227–632. doi:https://doi.org/10.16535/j.cnki.dlhyxb.2013.06.019 (in Chinese)
Lunn D, Spiegelhalter DJ, Thomas A, Best N (2009) The BUGS project: Evolution, critique and future directions. Stat Med 28(25):3049–3067. doi:https://doi.org/10.1002/sim.3680
Mao X, Yu J, Qin Y (1987) Small yellow croaker (Pseudosciaena ployactis). In: {ieFishery Bureau of Ministry of Agriculture} (eds) Investigation and Division of Fisheries Resource in the East China Sea. East China Normal University Press, Shanghai, pp 339–356 (in Chinese)
Pauly D (1980) On the interrelationships between natural mortality, growth parameters, and mean environmental temperature in 175 fish stocks. ICES J Mar Sci 39(2):175–192
Plummer M (2017) JAGS Version 4.3.0 user manual. https://sourceforge.net/projects/mcmc-jags/files/Manuals/4.x/ Accessed 20 Jun 2018
Pulkkinen H, Mäntyniemi S, Kuikka S, Levontin P (2011) More knowledge with the same amount of data: Advantage of accounting for parameter correlations in hierarchical meta-analyses. Mar Ecol-Prog Ser 443:29–37. doi:https://doi.org/10.3354/meps09368
Quintero FOL, Contreras-Reyes JE, Wiff R (2017) Incorporating uncertainty into a length-based estimator of natural mortality in fish populations. Fish B-NOAA 115(3):355–364. doi:https://doi.org/10.7755/FB.115.3.6
R Core Team (2016) R: A language and environment for statistical computing. lVienna, Austria: R Foundation for Statistical Computing. https://www.R-project.org/ Accessed 20 Jun 2018
Ren Y, Gao T, Liu Q, Xue Y (2001) Study on the population structure and reproduction of Pseudosciaena ployactis in southern Yellow Sea. Trans Oceanol Limn 1:41–46 (in Chinese)
Romakkaniemi A (2015) Best practices for the provision of prior information for Bayesian stock assessment. ICES, Copenhagen, ICES Cooperative Research Report No.328, 93 p
Santos MN, Gaspar MB, Vasconcelos P, Monteiro CC (2002) Weight-length relationships for 50 selected fish species of the Algarve coast (southern Portugal). Fish Res 59(1–2):289–295. doi:https://doi.org/10.1016/S0165-7836(01)00401-5
Shui B (2000) Study on reproductive ability of Pseudosciaena ployactis and its change. J Zhejiang Ocean Univ 19(1): 58–69 (in Chinese)
Shui B (2003) Study on the age and growth of Pseudosciaena ployactis in the south of the Yellow Sea and the north of the East China Sea. J Zhejiang Ocean Univ 22(1):16–20 (in Chinese)
von Bertalanffy L (1938) A quantitative theory of organic growth (inquiries on growth laws. II). Hum Biol 10(2):181–213
Wang Y, Huang J, Tang X, Jin X, Sun Y (2016) Stable isotopic composition of otoliths in identification of stock structure of small yellow croaker (Larimichthys polyactis) in China. Acta Oceanol Sin 35(6):29–33. doi:https://doi.org/10.1007/s13131-016-0868-z
Wang Y, Wang Y, Zheng J, Bi S (2011) A preliminary study on biology of main commercial fishes surveyed from the single otter trawl fisheries in Zhoushan fishing ground outside the forbidden fishing line. J Zhejiang Ocean Univ 30(5):416–419 (in Chinese)
Xu Z, Chen J (2010) Population division of Larimichthys polyactis in China Sea. Chin J Appl Ecol 21(11):2856–2864 (in Chinese)
Yan L, Hu F, Ling J, Li S (2006) Study on age and growth of Larimichthys ployactis in the northern East China Sea and southern Yellow Sea. Period Ocean Uinv China 36(1):95–100 (in Chinese)
Ye C (1991) Small yellow croaker (Pseudosciaena ployactis). In: Deng J, Zhao C (eds) Marine fisheries biology. China Agriculture Press, Beijing, pp 164–200 (in Chinese)
Yin Z, Zhang S, Wang Z, Wang K, Liang J (2010) Growth variation and rational utilization of small yellow croaker (Larimichthys ployactis) in artificial reef areas of Shengsi, Zhejiang Province. Chin J Eco-Agric 18(3):588–594. doi:https://doi.org/10.3724/SP.J.1011.2010.0058 (in Chinese)
Yu L, Cheng J (2003) Small yellow croaker (Pseudosciaena ployactis). In: Zheng Y, Chen X, Cheng J (eds) The biological resources and environment in continential shelf of the East China Sea. Shanghai Science and Technology Press, Shanghai, pp 472–487 (in Chinese)
Zeng L, Jin X, Li F, Li X, Dai F (2005) Fecundity and its variations of small yellow croaker (Pseudosciaena ployactis) in the Bohai Sea. Mar Sci 29(5):80–83 (in Chinese)
Zhang G, Li X, Jin X, Zhu J, Dai F (2010a) Growth, mortality and optimum catchable size of small yellow croaker (Larimichthys polyactics Bleeker) in the southern Yellow Sea. J Fish Sci China 17(4):839–846 (in Chinese)
Zhang G, Li X, Jin X, Zhu J, Dai F (2010b) Changes of biological characteristics of small yellow croaker (Larimichthys polyactics) in the central and southern Yellow Sea. Acta Ecol Sin 30(24):6854–6861 (in Chinese)
Acknowledgements
This study was funded by the Natural Science Foundation of Shandong Province, China (No. ZR2010DQ019) and the China Postdoctoral Science Foundation (No. 2017M622180). The authors are very grateful to Dr. Henni Pulkkinen, Natural Resources Institute Finland (Luke), who gave the advice on dealing with the missing data.
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Zhu, L., Liang, Z., Ge, C. et al. An Application of the Bayesian Hierarchical Approach to Refining the Information on Main Life History Parameters for Small Yellow Croaker, Larimichthys polyactis, off the Coast of China. Ocean Sci. J. 55, 143–155 (2020). https://doi.org/10.1007/s12601-020-0010-1
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DOI: https://doi.org/10.1007/s12601-020-0010-1