Length Target TAC MP

A management procedure that incrementally adjusts the TAC to reach a target mean length in catches.

Usage

Ltarget1(x, Data, reps = 100, plot = FALSE, yrsmth = 5, xx = 0, xL = 1.05)

Ltarget2(x, Data, reps = 100, plot = FALSE, yrsmth = 5, xx = 0, xL = 1.1)

Ltarget3(x, Data, reps = 100, plot = FALSE, yrsmth = 5, xx = 0, xL = 1.15)

Ltarget4(x, Data, reps = 100, plot = FALSE, yrsmth = 5, xx = 0.2, xL = 1.15)

L95target(x, Data, reps = 100, plot = FALSE, yrsmth = 5, xx = 0, xL = 1.05)

Arguments

x: A position in the data object
Data: A data object
reps: The number of stochastic samples of the MP recommendation(s)
plot: Logical. Show the plot?
yrsmth: Years over which to calculate mean length.
xx: Parameter controlling the fraction of mean catch to start using in first year
xL: Parameter controlling the magnitude of the target mean length of catches relative to average length in catches.

Value

An object of class Rec-class with the TAC slot populated with a numeric vector of length reps

Details

Four target length MPs proposed by Geromont and Butterworth 2014. Tested by Carruthers et al. 2015.

The TAC is calculated as:

If $L_\textrm{recent} \geq L_0$: $$\textrm{TAC} = 0.5 \textrm{TAC}^* \left[1+\left(\frac{L_\textrm{recent}-L_0}{L_\textrm{target}-L_0}\right)\right] $$

else: $$\textrm{TAC} = 0.5 \textrm{TAC}^* \left[\frac{L_\textrm{recent}}{L_0}^2\right] $$

where $\textrm{TAC}^*$ is (1 - xx) mean catches from the last yrsmth historical years (pre-projection), $L_\textrm{recent}$ is mean length in last yrmsth years, $L_0$ is (except for L95target) 0.9 average catch in the last 2 x yrsmth historical (pre-projection years) ($L_\textrm{ave}$), and $L_\textrm{target}$ is (except for L95target) xL $L_\textrm{ave}$.

Functions

Ltarget1: The least biologically precautionary TAC-based MP.
Ltarget2: Increasingly biologically precautionary (xL = 1.1).
Ltarget3: Increasingly biologically precautionary (xL = 1.1).
Ltarget4: The most biologically precautionary TAC-based MP (xL = 1.1, xx=0.2).
L95target: Same as Ltarget1 but here the target and limit mean lengths are based on the length at maturity distribution rather than an arbitrary multiplicative of the mean length

Required Data

See Data-class for information on the Data object

Ltarget1: Cat, LHYear, ML, Year

Ltarget2: Cat, LHYear, ML, Year

Ltarget3: Cat, LHYear, ML, Year

Ltarget4: Cat, LHYear, ML, Year

L95target: Cat, L50, LHYear, ML, Year

Rendered Equations

See Online Documentation for correctly rendered equations

References

Carruthers et al. 2015. Performance evaluation of simple management procedures. ICES J. Mar Sci. 73, 464-482.

Geromont, H.F., Butterworth, D.S. 2014. Generic management procedures for data-poor fisheries; forecasting with few data. ICES J. Mar. Sci. doi:10.1093/icesjms/fst232

Author

T. Carruthers

Examples

Ltarget1(1, Data=MSEtool::SimulatedData, plot=TRUE)

#> TAC (median) 
#>     1972.638 
Ltarget2(1, Data=MSEtool::SimulatedData, plot=TRUE)

#> TAC (median) 
#>     1774.109 
Ltarget3(1, Data=MSEtool::SimulatedData, plot=TRUE)

#> TAC (median) 
#>     1695.918 
Ltarget4(1, Data=MSEtool::SimulatedData, plot=TRUE)

#> TAC (median) 
#>     1369.049 
L95target(1, Data=MSEtool::SimulatedData, plot=TRUE)

#> TAC (median) 
#>      855.973