Cite this paper:
LIAO Baochao, LIU Qun, ZHANG Kui, Abdul BASET, Aamir Mahmood MEMON, Khadim Hussain MEMON, HAN Yanan. A continuous time delay-difference type model (CTDDM) applied to stock assessment of the southern Atlantic albacore Thunnus alalunga[J]. Journal of Oceanology and Limnology, 2016, 34(5): 977-984

A continuous time delay-difference type model (CTDDM) applied to stock assessment of the southern Atlantic albacore Thunnus alalunga

LIAO Baochao1, LIU Qun1, ZHANG Kui1,2, Abdul BASET1, Aamir Mahmood MEMON1, Khadim Hussain MEMON1,3, HAN Yanan1
1 Department of Fisheries, Ocean University of China, Qingdao 266003, China;
2 South China Sea Fisheries Research Institute, Chinese Academy of Fishery Sciences, Guangzhou 510300, China;
3 Marine Fisheries Department, Fish Harbor, West Wharf, Karachi 74000, Pakistan
Abstract:
A continuous time delay-difference model (CTDDM) has been established that considers continuous time delays of biological processes. The southern Atlantic albacore (Thunnus alalunga) stock is the one of the commercially important tuna population in the marine world. The age structured production model (ASPM) and the surplus production model (SPM) have already been used to assess the albacore stock. However, the ASPM requires detailed biological information and the SPM lacks the biological realism. In this study, we focus on applying a CTDDM to the southern Atlantic albacore (T. alalunga) species, which provides an alternative method to assess this fishery. It is the first time that CTDDM has been provided for assessing the Atlantic albacore (T. alalunga) fishery. CTDDM obtained the 80% confidence interval of MSY (maximum sustainable yield) of (21 510 t, 23 118 t). The catch in 2011 (24 100 t) is higher than the MSY values and the relative fishing mortality ratio (F2011/FMSY) is higher than 1.0. The results of CTDDM were analyzed to verify the proposed methodology and provide reference information for the sustainable management of the southern Atlantic albacore stock. The CTDDM treats the recruitment, the growth, and the mortality rates as all varying continuously over time and fills gaps between ASPM and SPM in this stock assessment.
Key words:    continuous time delay-difference model (CTDDM)|Southern Atlantic|Thunnus alalunga|maximum sustainable yield (MSY)|biological reference points (BRPs)   
Received: 2015-04-28   Revised: 2015-07-07
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Articles by LIAO Baochao
Articles by LIU Qun
Articles by ZHANG Kui
Articles by Abdul BASET
Articles by Aamir Mahmood MEMON
Articles by Khadim Hussain MEMON
Articles by HAN Yanan
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