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Type: Package
Title: Models for Simulating Lion Populations
Version: 1.0.1
Date: 2022-04-06
Author: Guillaume Chapron [aut, cre], Matthew Wijers [ctb], Andrew Loveridge [ctb], David Macdonald [ctb]
Maintainer: Guillaume Chapron <gchapron@carnivoreconservation.org>
Description: Simulate the dynamic of lion populations using a specific Individual-Based Model (IBM) compiled in C.
License: GPL-3
Depends: parallel, abind, testthat
NeedsCompilation: yes
Encoding: UTF-8
Packaged: 2022-04-07 10:01:24 UTC; guillaume
Repository: CRAN
Date/Publication: 2022-04-08 14:10:02 UTC

Lion population models

Description

A package to run simulations of lion populations using an Individual-Based Model compiled in C.

Details

Package: pop.lion
Type: Package
Version: 0.2
Date: 2020-04-28
License: GPL-3

Author(s)

Guillaume Chapron <gchapron@carnivoreconservation.org> with contributions from Matthew Wijers, Andrew Loveridge and David Macdonald.


Plot population projections

Description

Plot population projections

Usage

plot_projection(projection, title)

Arguments

projection

A list obtained after running the function project.

title

A string indicating which variable should be plotted

"NINDIV", "NPRIDES", "NCOALIS", "NCOALIS_RESIDENT", "NCOALIS_VAGRANT", "NPRIDES_RESIDENT", "NPRIDES_VAGRANT", "COALISIZE_RESIDENT", "COALISIZE_VAGRANT", "PRIDESIZE_RESIDENT", "PRIDESIZE_VAGRANT", "NFEMALES", "NMALES", "TAKEOVERS", "LITTERS", "AGE".

Details

Plot average projections with 95% confidence interval.

Value

No returned value, plot created

Examples


oldpar <- par(mfrow = c(1,1))

years = 25

survival <-  matrix(1, nrow=180, ncol=2)
survival[1:12, 1:2] <- 0.97^(1/12)
survival[13:24, 1:2] <- 0.98^(1/12)
survival[25:96, 1:2] <- 0.99^(1/12)
survival[97:108, 1:2] <- 0.98^(1/12)
survival[109:120, 1:2] <- 0.96^(1/12)
survival[121:132, 1:2] <- 0.94^(1/12)
survival[133:144, 1:2] <- 0.92^(1/12)
survival[145:156, 1:2] <- 0.90^(1/12)
survival[157:168, 1:2] <- 0.87^(1/12)
survival[169:180, 1:2] <- 0.83^(1/12)

litter_distribution <- c(0.10, 0.30, 0.35, 0.20, 0.05)

conflict_age <- array(4*12, dim=c(2), dimnames=list(c("female", "male")))
conflict_mortality <- array(0, dim=c(12*years, 2), dimnames=list(NULL, c("female", "male")))
conflict_mortality[24:36,] <- 15.2

hunting_age <- array(5*12, dim=c(2), dimnames=list(c("female", "male")))
hunting_mortality <- array(0, dim=c(12*years, 2), dimnames=list(NULL, c("female", "male")))
hunting_mortality[72:84,"male"] <- 10

projection <- project(
	years = years,
	runs = 100,
	survival = survival,
	litter_distribution = litter_distribution,
	pop_initial = 5,
	conflict_age = conflict_age,
	conflict_mortality = conflict_mortality,
	hunting_age = hunting_age,
	hunting_mortality = hunting_mortality,
	hunter_error = 0,
	K_indiv = 400,
	K_pride = 20,
	K_coali = 20,
	K_edged = 10,
	seed = 1,
	details = FALSE
)

par(mfrow=c(2,2))
plot_projection(projection, "NINDIV")
plot_projection(projection, "NPRIDES")
plot_projection(projection, "NCOALIS")
plot_projection(projection, "LITTERS")

par(oldpar)

Lion population projections

Description

Run stochastic lion population projections.

Usage

project(years,
     runs,
     survival,
     litter_distribution,
     pop_initial,
     conflict_age,
     conflict_mortality,
     hunting_age,
     hunting_mortality,
     hunter_error,
     K_indiv,
     K_pride,
     K_coali,
     K_edged,
     seed,
     details)

Arguments

years

A number: number of years to simulate the population.

runs

A number: number of times (or Monte Carlo runs) to simulate the population.

survival

A matrix: average monthly survival for each sex.

litter_distribution

A vector: probability distribution of litter sizes (1-5 cubs) in the population.

pop_initial

A number: number of prides (and coalitions). A simulation starts with an equal number of prides and coalitions.

conflict_age

A vector: the minimum age in months at which lions can be killed by conflict for females and males.

conflict_mortality

An array: mortality added at the edge by conflict for every month of the simulation and for females and males. Expressed in percentage, a value of 15.2 will be understood by the model as 15.2 per cent. Values can be double. The array has 12 * years rows.

hunting_age

A vector: the minimum age in months at which lions can be killed by trophy hunting for females and males.

hunting_mortality

An array: mortality added at the edge by trophy hunting for every month of the simulation and for females and males. Expressed in number of individuals, a value of 15 will be understood by the model as 15 killed every month. A value of 0.5 will be understood as 6 lions killed per year. The array has 12 * years rows.

hunter_error

A number: hunter error.

K_indiv

A number: maximum number of individuals in the population.

K_pride

A number: maximum number of prides in the population.

K_coali

A number: maximum number of coalitions in the population.

K_edged

A number: number of prides in the population that are located at the edge of the reserve and therefore vulnerabe to hunting and poaching.

seed

(optional) A number: seed of the random number generator.

details

(optional) A boolean: indicate whether individual events are exported. This can generate large simulation objects.

Details

Run stochastic lion population projections with an Individual-Based Model (IBM) compiled in C.

Value

runs

a 3-dimensional array of numbers of individuals with dimension c(years, statistics, runs)

individuals

a 2-dimensional array of individuals events

parameters

a list of parameters of the projection

Examples


years = 25

survival <-  matrix(1, nrow=180, ncol=2)
survival[1:12, 1:2] <- 0.97^(1/12)
survival[13:24, 1:2] <- 0.98^(1/12)
survival[25:96, 1:2] <- 0.99^(1/12)
survival[97:108, 1:2] <- 0.98^(1/12)
survival[109:120, 1:2] <- 0.96^(1/12)
survival[121:132, 1:2] <- 0.94^(1/12)
survival[133:144, 1:2] <- 0.92^(1/12)
survival[145:156, 1:2] <- 0.90^(1/12)
survival[157:168, 1:2] <- 0.87^(1/12)
survival[169:180, 1:2] <- 0.83^(1/12)

litter_distribution <- c(0.10, 0.30, 0.35, 0.20, 0.05)

conflict_age <- array(4*12, dim=c(2), dimnames=list(c("female", "male")))
conflict_mortality <- array(0, dim=c(12*years, 2), dimnames=list(NULL, c("female", "male")))
conflict_mortality[24:36,] <- 15.2

hunting_age <- array(5*12, dim=c(2), dimnames=list(c("female", "male")))
hunting_mortality <- array(0, dim=c(12*years, 2), dimnames=list(NULL, c("female", "male")))
hunting_mortality[72:84,"male"] <- 10

projection <- project(
	years = years,
	runs = 100,
	survival = survival,
	litter_distribution = litter_distribution,
	pop_initial = 5,
	conflict_age = conflict_age,
	conflict_mortality = conflict_mortality,
	hunting_age = hunting_age,
	hunting_mortality = hunting_mortality,
	hunter_error = 0,
	K_indiv = 400,
	K_pride = 20,
	K_coali = 20,
	K_edged = 10,
	seed = 1,
	details = FALSE
)

# Population size at the end of the simulation:
apply(projection$runs[,"NINDIV",], 1, mean)[12*years+1]

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