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Characterizing Shape and Interannual Variability in Population Selectivity (Scaled F-at-age) for West Coast Groundfish. Brandon Owashi David Sampson. Importance. Simplify multiple fisheries to one fishery large reduction in parameters
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Characterizing Shape and Interannual Variability in Population Selectivity (Scaled F-at-age) for West Coast Groundfish Brandon Owashi David Sampson
Importance • Simplify multiple fisheries to one fishery large reduction in parameters • Need mechanism that can produce the many shapes that the combination multiple fisheries can produce • Determine information needed to mimic the population fishery selection
Population vs. Fishery (Contact) Selection Curves • Population curves vary from fishery curves and change on a year to year basis Gear 1 = 0.2 Gear 2 = 0.1
Population vs. Fishery (Contact) Selection Curves • Population curves vary from fishery curves and change on a year to year basis Gear 1 = 0.2 Gear 2 = 0.15
Stock Assessments Used • Most recent stock assessment available • Z-at-age F-at-age Max F-at-age Selectivity Coefficients
Logit Transformation • Logit = ln(p / (1 – p)) • 0 = (smallest non-zero sel coefficient) / 2 • 1 = - (logit of “0”)
Smooth Spline • Cubic smoothing spline in R (smooth.spline) • Continuity at knots • Second derivative on either side of knot equal each other • Fit curve to logit selectivity data
Knots • Fixed x values that the curve must go through • Find number of knots best fit • Extract y component from knots • Calculate standard deviation for each y component of the knot over time
Examples Blackgill Rockfish Cabezon - Oregon Pacific Whiting Greenspotted Rockfish - South
Results – Curve Shape • Shape definitions from Sampson & Scott (2011) • Increasing • Asymptotic • Domed • Saddle
Results – Curve Shape • Shape definitions from Sampson & Scott (2011) • Increasing • Asymptotic • Domed • Saddle
Results – Curve Shape • Shape definitions from Sampson & Scott (2011) • Increasing • Asymptotic • Domed • Saddle
Results – Curve Shape • Shape definitions from Sampson & Scott (2011) • Increasing • Asymptotic • Domed • Saddle
Results – Curve Shape • Shape definitions from Sampson & Scott (2011) • Increasing • Asymptotic • Domed • Saddle
Results – Interannual Variability • Calculated the standard deviation at each knot (logit transformation) • Sampson & Scott (2011) • Highest variability found in either youngest or second youngest age class
Conclusions • Must have very flexible mechanism for generating population selectivity curves • Double normal is not flexible enough • High variability occurs in different age ranges depending on species • High number of fisheries does not always result in high levels of variability
Conclusions • Must have very flexible mechanism for generating selectivity curves • Double normal is not flexible enough • High variability occurs in different age ranges depending on species • High number of fleets does not always result in high levels of variability
Conclusions • Must have very flexible mechanism for generating population selectivity curves • Double normal is not flexible enough • High variability occurs in different age classes depending on species • High number of fisheries does not always result in high levels of variability