The growth cessation model: a growth model for species showing a near cessation in growth with application to bigeye tuna (Thunnus obesus)
We present the growth cessation model, which is designed for species, such as some tropical tunas, that have an apparent linear relationship between length and age, followed by a marked reduction of growth after the onset of sexual maturity. The growth curve simply assumes linear growth for the youngest individuals and then uses a logistic function to model how the growth rate falls to zero at greater ages. One characteristic of the model is that, as t → 0, the model converges to a linear regression. The range of ages for which a linear regression adequately represents the mean length at age depends on when the logistic function becomes influential. A beneficial characteristic of this model is that, unlike other growth models, a preponderance of younger fish may not overwhelm the information from older fish, which biases the estimates of mean length at age for older fish. We apply the growth curve to bigeye tuna (Thunnus obesus) data from the eastern Pacific Ocean, obtained from otolith daily increment counts and tagging experiments, and compare the results with those from the von Bertalanffy and Richards growth curves. The growth cessation model fits the eastern Pacific Ocean bigeye tuna data better than do the von Bertalanffy and Richards growth curves. These results support the use of the growth cessation model for bigeye tuna in the eastern Pacific Ocean, and since many species have growth curves that flatten out to the point where growth is almost undetectable, this indicates that the growth cessation model may be widely applicable.
The bigeye tagging experiments from which data were utilized in this study were funded by the Governments of Japan and Chinese Taipei, as well as the Inter-American Tropical Tuna Commission (IATTC). This investigation of bigeye growth was funded through the IATTC staff budget.
Compliance with ethical standards
Conflict of interest
Mark Maunder declares that he has no conflict of interest. Richard Deriso declares that he has no conflict of interest. Kurt Schaefer declares that he has no conflict of interest. Dan Fuller declares that he has no conflict of interest. Alexandre Aire-da-Silva declares that he has no conflict of interest. Carolina Minte-Vera declares that she has no conflict of interest. Steven Campana declares that he has no conflict of interest.
All applicable international, national, and institutional guidelines for the care and use of animals were followed.
- Aires-da-Silva AM, Maunder MN, Schaefer KM, Fuller DW (2015) Improved growth estimates from integrated analysis of direct aging and tag–recapture data: an illustration with bigeye tuna (Thunnus obesus) of the eastern Pacific Ocean with implications for management. Fish Res 163:119–126CrossRefGoogle Scholar
- Andrews AH, DeMartini EE, Brodziak J, Nichols RS, Humphreys RL (2012) A long-lived life history for a tropical, deepwater snapper (Pristipomoides filamentosus): bomb radiocarbon and lead–radium dating as extensions of daily increment analyses in otoliths. Can J Fish Aquat Sci 69:1850–1869CrossRefGoogle Scholar
- Fournier DA, Hampton J, Sibert JR (1998) MULTIFAN-CL: a length-based, age-structured model for fisheries stock assessment, with application to South Pacific albacore, Thunnus alalunga. Can J Fish Aquat Sci 57:1002–1010Google Scholar
- Maunder MN, Watters GM (2003) A-SCALA: an age-structured statistical catch-at-length analysis for assessing tuna stocks in the Eastern Pacific Ocean. Inter-Am Trop Tuna Comm Bull 22:433–582Google Scholar
- Parham JF, Zug GR (1997) Age and growth of loggerhead sea turtles (Caretta caretta) of coastal Georgia: an assessment of skeletochronological age-estimates. Bull Mar Sci 61:287–304Google Scholar
- Schaefer KM, Fuller DW (2006) Estimates of age and growth of bigeye tuna (Thunnus obesus) in the eastern Pacific Ocean, based on otolith increments and tagging data. Inter-Am Trop Tuna Comm Bull 23:32–76Google Scholar