Fratio {DLMtool}R Documentation

FMSY/M ratio methods


Calculates the OFL based on a fixed ratio of FMSY to M multiplied by a current estimate of abundance.


Fratio(x, Data, reps = 100, plot = FALSE)

Fratio4010(x, Data, reps = 100, plot = FALSE)

DepF(x, Data, reps = 100, plot = FALSE)

Fratio_CC(x, Data, reps = 100, plot = FALSE, Fmin = 0.005)

Fratio_ML(x, Data, reps = 100, plot = FALSE)



A position in the data object


A data object


The number of stochastic samples of the MP recommendation(s)


Logical. Show the plot?


Minimum current fishing mortality rate for the catch-curve analysis


A simple method that tends to outperform many other approaches alarmingly often even when current biomass is relatively poorly known. The low stock crash potential is largely due to the quite large difference between Fmax and FMSY for most stocks.

The TAC is calculated as:

\textrm{TAC} = F_{\textrm{MSY}} A

where F_{\textrm{MSY}} is calculated as \frac{F_\textrm{MSY}}{M} M and A is estimate of current abundance.

The MP variants differ in the assumption of current abundance (see Functions section below)


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

Fratio: Abun, FMSY_M, Mort

Fratio4010: Abun, Dep, FMSY_M, Mort

DepF: Abun, Dep, FMSY_M, Mort

Fratio_CC: CAA, Cat, FMSY_M, Mort

Fratio_ML: CAL, Cat, FMSY_M, Lbar, Lc, Mort, vbK, vbLinf

Rendered Equations

See Online Documentation for correctly rendered equations


T. Carruthers


Gulland, J.A., 1971. The fish resources of the ocean. Fishing News Books, West Byfleet, UK.

Martell, S., Froese, R., 2012. A simple method for estimating MSY from catch and resilience. Fish Fish. doi: 10.1111/j.1467-2979.2012.00485.x.

See Also

Other Fmsy/M methods: DynF(), Fadapt()


Fratio(1, MSEtool::Atlantic_mackerel, plot=TRUE)
Fratio4010(1, MSEtool::Atlantic_mackerel, plot=TRUE)
Fratio_CC(1, MSEtool::SimulatedData, plot=TRUE)
Fratio_ML(1, MSEtool::SimulatedData, plot=TRUE)

[Package DLMtool version 6.0.2 Index]