GB_slope {DLMtool} R Documentation

## Geromont and Butterworth index slope Harvest Control Rule

### Description

An MP similar to SBT1 that modifies a time-series of catch recommendations and aims for a stable catch rates.

### Usage

GB_slope(x, Data, reps = 100, plot = FALSE, yrsmth = 5, lambda = 1)


### 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 Number of years for evaluating slope in relative abundance index lambda A gain parameter

### Details

The TAC is calculated as:

\textrm{TAC}_y= C_{y-1} ≤ft(1+λ I\right)

where C_{y-1} is catch from the previous year, λ is a gain parameter, and I is the slope of the linear regression of log Index (Data@Ind) over the last yrsmth years.

The TAC is subject to the following conditions:

1. if next TAC > 1.2 last catch, then TAC = 1.2 last catch

2. if next TAC < 0.8 last catch, then TAC = 0.8 last catch

Note that this is my interpretation of their approach and is now stochastic. Currently it is generalized and is not 'tuned' to more detailed assessment data which might explain why in some cases it leads to stock declines.

### Value

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

### Required Data

See Data-class for information on the Data object

GB_slope: Cat, Ind, Year

### Rendered Equations

See Online Documentation for correctly rendered equations

T. Carruthers

### References

Geromont, H.F. and Butterworth, D.S. 2014. Complex assessment or simple management procedures for efficient fisheries management: a comparative study. ICES J. Mar. Sci. doi:10.1093/icesjms/fsu017

Other Index methods: GB_target(), Gcontrol(), ICI(), Iratio(), Islope1(), Itarget1_MPA(), Itarget1(), ItargetE1()
GB_slope(1, MSEtool::SimulatedData, plot=TRUE)