This function implements the marine population dynamics model described in Gruss et al. (2011). The model is an extension of the dispersalperrecruit model in Kaplan et al. (2006) to include movement in a homerange and a gravity model for fishing effort redistribution.
1 2 3  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, ...)

larval.mat 
a square larval connectivity matrix. 
adult.mat 
a square adult homerange movement matrix.

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 
LEP.of.f 
a function that returns lifetimeeggproductions given a vector of fishing rates. 
YPR.of.f 
a function that returns yieldsperrecruit 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. 
A list with the following elements:
eggs 
egg production for the timesteps in 
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 
David M. Kaplan dmkaplan2000@gmail.com
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: 22482263.
See also BevertonHolt
, hockeyStick
,
DispersalPerRecruitModel
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