2016
DOI: 10.1101/051482
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Maximum intrinsic rate of population increase in sharks, rays, and chimaeras: the importance of survival to maturity

Abstract: The maximum intrinsic rate of population increase r max is a commonly estimated demographic parameter used in assessments of extinction risk. In teleosts, r max can be calculated using an estimate of spawners per spawner, but for chondrichthyans, most studies have used annual reproductive output b instead. This is problematic as it effectively assumes all juveniles survive to maturity. Here, we propose an updated r max equation that uses a simple mortality estimator which also accounts for survival to maturity… Show more

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Cited by 26 publications
(42 citation statements)
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“…The total population of white sharks on the east coast of Australia and New Zealand was recently estimated to be 5,460 individuals, including 750 mature individuals (Bruce et al, ), suggesting the population within New Zealand waters alone met Criterion D (‘very small or restricted population’, <1,000 mature individuals). Given their naturally low population size, combined with a low estimate of maximum intrinsic rate of population increase r max (Pardo, Kindsvater, Reynolds, & Dulvy, ), and documented interactions with fisheries some continuing population decline (10% over three generations) is projected. A generation length of 39 years for this species was based on age data from Natanson and Skomal ().…”
Section: Resultsmentioning
confidence: 99%
“…The total population of white sharks on the east coast of Australia and New Zealand was recently estimated to be 5,460 individuals, including 750 mature individuals (Bruce et al, ), suggesting the population within New Zealand waters alone met Criterion D (‘very small or restricted population’, <1,000 mature individuals). Given their naturally low population size, combined with a low estimate of maximum intrinsic rate of population increase r max (Pardo, Kindsvater, Reynolds, & Dulvy, ), and documented interactions with fisheries some continuing population decline (10% over three generations) is projected. A generation length of 39 years for this species was based on age data from Natanson and Skomal ().…”
Section: Resultsmentioning
confidence: 99%
“…This means that the above issues have the potential to extend well beyond the specific examples above. For example, age‐at‐maturity, another key determinant of population productivity (Pardo et al., ; Smith, Au, & Show, ), is frequently obtained from the inverse of a growth curve at length‐at‐maturity, meaning it too would be susceptible to biased growth parameters. Sidestepping the use of biased parameters altogether is also difficult.…”
Section: Resultsmentioning
confidence: 99%
“…We use the following version of this equation to calculate r max . Unlike previous estimates of r max for chondrichthyan species [12, 29, 30], this equation accounts for juvenile mortality [31]: where l α mat is survival to maturity and is calculated as l α mat = ( e ‒ M ) α mat , b is the annual reproductive output of daughters, α mat is age at maturity in years, and M is the instantaneous natural mortality. We then solve equation 10 for r max using the function in R. To account for uncertainty in input parameters, we use a Monte Carlo approach and draw values from parameter distributions to obtain 10,000 estimates of r max .…”
Section: Methodsmentioning
confidence: 99%
“…We used this estimate of M to calculate survival to maturity l α mat as ( e ‒ M ) α mat . This method produces realistic estimates of r max when accounting for survival to maturity [31]. We also use our estimate of Z from Part 2, which represents both natural and fishing mortality, to contextualize our estimate of M .…”
Section: Methodsmentioning
confidence: 99%
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