Extended DPR population dynamics model to include homerange movement

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Description

This function implements the marine population dynamics model described in Gruss et al. (2011). The model is an extension of the dispersal-per-recruit model in Kaplan et al. (2006) to include movement in a homerange and a gravity model for fishing effort redistribution.

Usage

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DPRHomerangeGravity(larval.mat, adult.mat, recruits0, f0, timesteps = 10,
  settler.recruit.func = hockeyStick, LEP.of.f = function(f) 1 - f,
  YPR.of.f = function(f) f, gamma = 0, gravity.ts.interval = 1, ...)

Arguments

larval.mat

a square larval connectivity matrix. dim(larval.mat) = rep(length(recruits0),2)

adult.mat

a square adult homerange movement matrix. dim(adult.mat) = rep(length(recruits0),2). adult.mat must be properly normalized so that each column sums to 1.

recruits0

a vector of initial recruitment values for each site.

f0

a vector of initial real fishing mortalities for each site.

timesteps

a vector of timesteps at which to record egg production, settlement and recruitment.

settler.recruit.func

a function to calculate recruitment from the number of settlers at each site. Defaults to hockeyStick.

LEP.of.f

a function that returns lifetime-egg-productions given a vector of fishing rates.

YPR.of.f

a function that returns yields-per-recruit given a vector of fishing rates.

gamma

exponent for the gravity model. Defaults to 0, i.e., no gravity model.

gravity.ts.interval

number of timesteps between updates of gravity model. Defaults to 1, i.e., every timestep.

...

additional arguments to settler.recruit.func.

Value

A list with the following elements:

eggs

egg production for the timesteps in timesteps

settlers

Similar for settlement

recruits

Similar for recruitment

fishing.mortality

Real spatial distribution of fishing mortality

effective.fishing.mortality

Effective fishing mortality taking into account adult movement

yield

Real spatial distribution of yield

effective.yield

Effective yield indicating where fish biomass caught originates from

Author(s)

David M. Kaplan dmkaplan2000@gmail.com

References

Gruss A, Kaplan DM, Hart DR (2011) Relative Impacts of Adult Movement, Larval Dispersal and Harvester Movement on the Effectiveness of Reserve Networks. PLoS ONE 6:e19960

Kaplan, D. M., Botsford, L. W., and Jorgensen, S. 2006. Dispersal per recruit: An efficient method for assessing sustainability in marine reserve networks. Ecological Applications, 16: 2248-2263.

See Also

See also BevertonHolt, hockeyStick, DispersalPerRecruitModel

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