Rcontrol {DLMtool} R Documentation

## Intrinsic rate of Increase MP

### Description

An MP proposed by Carl Walters that modifies the TAC according to trends in apparent surplus production that includes information from a demographically derived prior for intrinsic rate of increase

### Usage

Rcontrol(
x,
Data,
reps = 100,
plot = FALSE,
yrsmth = 10,
gg = 2,
glim = c(0.5, 2)
)

Rcontrol2(
x,
Data,
reps = 100,
plot = FALSE,
yrsmth = 10,
gg = 2,
glim = c(0.5, 2)
)


### 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 The number of years for smoothing catch and biomass data gg A gain parameters glim Limits for the change in TAC among years

### Details

The TAC is calculated as:

\textrm{TAC} = \textrm{SP} (1-gG)

where g is a gain parameter, \textrm{SP} is estimated surplus production, and G is: For Rcontrol: G = r (1-2D) where r is the estimated intrinsic rate of increase, and D is assumed depletion.

For Rcontrol2: G = r - 2bB_\textrm{hist} where B_\textrm{hist} is the smoothed biomass overlast yrsmth years and:

b = ∑{\frac{\textrm{SP}}{B_\textrm{hist}} - r} \frac{∑{B_\textrm{hist}}}{∑{B_\textrm{hist}^2}}

.

The TAC is subject to conditions limit the maximum change from the smoothed catch over the last yrsmth years by the glim argument, e.g, default values of glim = c(0.5, 2) means that maximum decrease in TAC is 50% of average catch and maximum increase is 2 x average catch.

### Value

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

### Functions

• Rcontrol: Base version Rcontrol

• Rcontrol2: This is different from Rcontrol because it includes a quadratic approximation of recent trend in surplus production given biomass

### Required Data

See Data-class for information on the Data object

Rcontrol: Abun, Cat, Dep, FMSY_M, Ind, L50, MaxAge, Mort, Year, steep, vbK, vbLinf, vbt0, wla, wlb

### Rendered Equations

See Online Documentation for correctly rendered equations

### Author(s)

C. Walters and T. Carruthers

### References

Other Surplus production MPs: Fadapt(), SPMSY(), SPSRA(), SPmod(), SPslope()
Rcontrol(1, Data=MSEtool::Atlantic_mackerel, plot=TRUE)