DPRHomerangeGravity: Extended DPR population dynamics model to include homerange...

In dmkaplan2000/ConnMatTools: Tools for Working with Connectivity Data

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

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 [e-mail]

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

dmkaplan2000/ConnMatTools documentation built on Feb. 8, 2020, 4:41 p.m.