Local sensitivity equations for maximum sustainable yield reference points

Nan Zheng, Shijia Wang and Noel Cadigan

Theoretical Population Biology, 2019, vol. 130, issue C, 143-159

Abstract: Quantitative fishery harvest strategies in many countries throughout the world are based on maximum sustainable yield (MSY) reference points (RPs); in particular, the fishing mortality rate that produces MSY (i.e. Fmsy) and the population biomass (Bmsy) that results from fishing at Fmsy. There is often great interest in the sensitivity of MSY RPs to their inputs and underlying assumptions. We perturb (i.e. ω) inputs to generate influence curves which we denote as Fmsy(ω) and Bmsy(ω) as functions of ω. We derive diagnostic equations for the slopes of Fmsy(ω) and Bmsy(ω) at the origin (i.e. no perturbation). These equations provide a conceptual understanding of how Fmsy and Bmsy will change in response to changes in inputs, which one does not get from a simple computational sensitivity analysis. We show that a leading factor determining the sensitivity of Fmsy is the amount of curvature in the equilibrium yield curve near Fmsy. Another leading factor affecting the sensitivity of Bmsy is if the stock–recruitment function indicates low density-dependence in recruitment productivity. With some exceptions, we find that Fmsy will increase if the body growth rate or asymptotic size increases, 2) proportions mature increase at younger ages, and 3) natural mortality rates decrease and the Ricker stock–recruitment function is used. If the fishery selectivity function of age is monotone increasing then Fmsy will also usually increase if peak selectivity is shifted to an older age. Usually the signs of the slopes for Bmsy and Fmsy are the same.

Keywords: Local influence; Yield per recruit; Spawner per recruit; Harvest strategy; Perturbation analysis (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0040580917301697
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:130:y:2019:i:c:p:143-159

DOI: 10.1016/j.tpb.2019.07.010

Access Statistics for this article

Theoretical Population Biology is currently edited by Jeremy Van Cleve

More articles in Theoretical Population Biology from Elsevier
Bibliographic data for series maintained by Catherine Liu ().