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slides/dogfish-rpr-slides.Rmd

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@@ -830,7 +830,7 @@ Age-structure incorporates lags in stock response to exploitation pattern (selec
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Low fecundity limits stock productivity. Example to illustrate:
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Imagine an unfished population N = 100 adults, which produce 10 pups/adult, that's 1,000 pups (B0).
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Imagine an unfished population N = 100 adults, which produce 10 pups/adult, that's 1,000 pups (B0). If pup survival to recruit life stage is 0.6, then we have 600 recruits (R0).
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A population of N = 20 (0.2 B0) produces 200 pups. If steepness were 1 in a closed population, we'd have to conjure 600 recruits from 200 pups.
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Demonstration of the lagged effects on the age structure of the population.
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Oscillations in age classes demonstrate of the lagged effects in the population.
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Early Vitamin A fishery fished out older animals (age 30+), population recovered from younger animals (20+) invulnerable to the fishery.
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Early Vitamin A fishery fished out older animals (age 30+), population recovered from younger cohorts invulnerable to the fishery.
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Estimated steady decline in population biomass
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Due to differences in selectivity & maturity: declines after vitamin A fishery, subsequent recovery, and another decline
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Different trend in spawning output (due to differences in selectivity & maturity): declines after vitamin A fishery, subsequent recovery, and another decline
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```
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- Stock-recruit productivity parameter $z_\textrm{frac}$ determines height of the yield curve (2023 selectivity of discard)
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- Stock-recruit productivity parameter $z_\textrm{frac}$ determines height of the yield curve (2023 selectivity, primarily discards)
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- Can provide upper bound on what is plausible
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```
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# MCMC sampling
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class: center, middle, inverse
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# Reference Points
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## Challenges fitting some population indices
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- Not possible to simultaneously obtain a good fit to all three modern indices
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- Synoptic survey believed to target preferred Dogfish habitat (muddy bottom) but IPHC index is more precise (mixed substrates)
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## Perception of depletion was relatively robust
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- Estimated current status is inferred from the decline in indices in light of low catches relative to historical levels.
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- Low fecundity limits the range of potential historical population trajectories among the sensitivity scenarios
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- TODO
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