# Average Catch with a size limit

`AvC_MLL.Rd`

A example mixed control MP that uses the average catch output control MP together with a minimul size limit set at the size of maturity.

## 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?

## Value

An object of class `Rec-class`

with the TAC, Retention slot(s) populated

## Details

The average catch method is very simple. The mean historical catch is calculated and used to set
a constant catch limit (TAC). If `reps`

> 1 then the `reps`

samples are drawn from a log-normal
distribution with mean `TAC`

and standard deviation (in log-space) of 0.2.

For completeness, the TAC is calculated by:

$$\textrm{TAC} =\frac{\sum_{y=1}^{\textrm{n}}{C_y}}{\textrm{n}}$$

where \(\textrm{TAC}\) is the the mean catch recommendation, \(n\) is the number of historical years, and \(C_y\) is the catch in historical year \(y\).

The size of retention is set to the length of maturity.

This MP has been included for demonstration purposes of a mixed control MP.

## Rendered Equations

See Online Documentation for correctly rendered equations

## Examples

```
Rec <- AvC_MLL(1, MSEtool::Cobia, reps=1000, plot=TRUE) # 1,000 log-normal samples with CV = 0.2
```