# Itarget1_MPA: Itarget1 with an MPA In DLMtool: Data-Limited Methods Toolkit

## Description

A example mixed control MP that uses the Itarget1 output control MP together with a spatial closure.

## Usage

 1 2 Itarget1_MPA(x, Data, reps = 100, plot = FALSE, yrsmth = 5, xx = 0, Imulti = 1.5) 

## 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 smooth recent estimates of surplus production xx Parameter controlling the fraction of mean catch to start using in first year Imulti Parameter controlling how much larger target CPUE / index is compared with recent levels.

## Details

The TAC is calculated as: If I_\textrm{recent} ≥q I_0:

\textrm{TAC}= 0.5 \textrm{TAC}^* ≤ft[1+≤ft(\frac{I_\textrm{recent} - I_0}{I_\textrm{target} - I_0}\right)\right]

else:

\textrm{TAC}= 0.5 \textrm{TAC}^* ≤ft[\frac{I_\textrm{recent}}{I_0}^2\right]

where I_0 is 0.8 I_{\textrm{ave}} (the average index over the 2 x yrsmth years prior to the projection period), I_\textrm{recent} is the average index over the past yrsmth years, and I_\textrm{target} is Imulti times I_{\textrm{ave}}, and \textrm{TAC}^* is:

(1-x)C

where x is argument xx and C is the average catch over the last 5 years of the historical period.

This mixed control MP also closes Area 1 to fishing.

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

## Value

An object of class Rec with the TAC, Spatial slot(s) populated

## Required Data

See Data for information on the Data object

Itarget1_MPA: Cat, Ind, LHYear, Year

## Rendered Equations

See Online Documentation for correctly rendered equations

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