Fadapt {DLMtool} | R Documentation |

An adaptive MP that uses trajectory in inferred suplus production and fishing mortality rate to update a TAC

Fadapt(x, Data, reps = 100, plot = FALSE, yrsmth = 7, gg = 1)

`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 smooth recent estimates of surplus production |

`gg` |
A gain parameter controlling the speed in update in TAC. |

Fishing rate is modified each year according to the gradient of surplus production with biomass (aims for zero). F is bounded by FMSY/2 and 2FMSY and walks in the logit space according to dSP/dB. This is derived from the theory of Maunder 2014.

The TAC is calculated as:

*\textrm{TAC}_y= F_y B_{y-1}*

where *B_{y-1}* is the most recent biomass, estimated with a loess smoother
of the most recent `yrsmth`

years from the index of abundance (`Data@Ind`

)
and estimate of current abundance (`Data@Abun`

), and

*F_y = F_{\textrm{lim}_1} + ≤ft(\frac{\exp^{F_{\textrm{mod}_2}}} {1 + \exp^{F_{\textrm{mod}_2}}} F_{\textrm{lim}_3} \right) *

where *F_{\textrm{lim}_1} = 0.5 \frac{F_\textrm{MSY}}{M}M*,
*F_{\textrm{lim}_2} = 2 \frac{F_\textrm{MSY}}{M}M*, *F_{\textrm{lim}_3}* is *F_{\textrm{lim}_2} - F_{\textrm{lim}_1}*,
*F_{\textrm{mod}_2}* is

*F_{\textrm{mod}_1} + g -G*

where *g* is gain parameter `gg`

, `G`

is the predicted surplus production given current abundance,
and:

where *-F_{\textrm{frac}} = \frac{F_{\textrm{old}} - F_{\textrm{lim}_1}}{F_{\textrm{lim}_3}} *,
*F_\textrm{old} = ∑{\frac{C_\textrm{hist}}{B_\textrm{hist}}}/n*
where *C_\textrm{hist}* and *B_\textrm{hist}* are smooth catch and biomass over last `yrsmth`

,
and *n* is `yrsmth`

.

Tested in Carruthers et al. 2015.

An object of class `Rec-class`

with the `TAC`

slot populated with a numeric vector of length `reps`

A numeric vector of quota recommendations

See `Data-class`

for information on the `Data`

object

`Fadapt`

: Abun, Cat, FMSY_M, Ind, Mort, Year

See Online Documentation for correctly rendered equations

T. Carruthers

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

Maunder, M. 2014. http://www.iattc.org/Meetings/Meetings2014/MAYSAC/PDFs/SAC-05-10b-Management-Strategy-Evaluation.pdf

Other Fmsy/M methods:
`DynF()`

,
`Fratio()`

Other Surplus production MPs:
`Rcontrol()`

,
`SPMSY()`

,
`SPSRA()`

,
`SPmod()`

,
`SPslope()`

Fadapt(1, Data=MSEtool::Atlantic_mackerel, plot=TRUE)

[Package *DLMtool* version 6.0.2 Index]