lefko3 (version 3.1.0)

lambda3.lefkoMat: Estimate Deterministic Population Growth Rates of Matrices in a lefkoMat Object

Description

lambda3.lefkoMat() returns the dominant eigenvalues of projection matrices supplied within lefkoMat objects. This function can handle large and sparse matrices, and so can be used with large historical matrices, IPMs, age x stage matrices, as well as smaller ahistorical matrices.

Usage

# S3 method for lefkoMat
lambda3(mats)

Arguments

mats

An object of class lefkoMat.

Value

This function returns the dominant eigenvalue of each $A matrix in the lefkoMat object input. For square matrices with fewer than 400 rows, this is given as the largest real part of all eigenvalues estimated via the eig_gen() function in the C++ Armadillo library. For larger matrices, the function assumes that matrices are sparse and uses eigs_gen() instead. The output includes a data frame showing the population, patch, and lambda estimate for each $A matrix within the object. Row names correspond to the number of the matrix within the $A element of the lefkoMat object.

See Also

lambda3()

lambda3.matrix()

Examples

# NOT RUN {
data(lathyrus)

sizevector <- c(0, 100, 13, 127, 3730, 3800, 0)
stagevector <- c("Sd", "Sdl", "VSm", "Sm", "VLa", "Flo", "Dorm")
repvector <- c(0, 0, 0, 0, 0, 1, 0)
obsvector <- c(0, 1, 1, 1, 1, 1, 0)
matvector <- c(0, 0, 1, 1, 1, 1, 1)
immvector <- c(1, 1, 0, 0, 0, 0, 0)
propvector <- c(1, 0, 0, 0, 0, 0, 0)
indataset <- c(0, 1, 1, 1, 1, 1, 1)
binvec <- c(0, 100, 11, 103, 3500, 3800, 0.5)

lathframe <- sf_create(sizes = sizevector, stagenames = stagevector, repstatus = repvector, 
                       obsstatus = obsvector, matstatus = matvector, immstatus = immvector, 
                       indataset = indataset, binhalfwidth = binvec, propstatus = propvector)

lathvert <- verticalize3(lathyrus, noyears = 4, firstyear = 1988, patchidcol = "SUBPLOT", 
                         individcol = "GENET", blocksize = 9, juvcol = "Seedling1988", 
                         sizeacol = "Volume88", repstracol = "FCODE88", 
                         fecacol = "Intactseed88", deadacol = "Dead1988", 
                         nonobsacol = "Dormant1988", stageassign = lathframe, 
                         stagesize = "sizea", censorcol = "Missing1988", 
                         censorkeep = NA, censor = TRUE)

lathrepm <- matrix(0, 7, 7)
lathrepm[1, 6] <- 0.345
lathrepm[2, 6] <- 0.054

lathover3 <- overwrite(stage3 = c("Sd", "Sd", "Sdl"), stage2 = c("Sd", "Sd", "Sd"), 
                       stage1 = c("Sd", "rep", "rep"), givenrate = c(0.345, 0.054))

ehrlen3 <- rlefko3(data = lathvert, stageframe = lathframe, year = c(1989, 1990), 
                   stages = c("stage3", "stage2", "stage1"), repmatrix = lathrepm, 
                   overwrite = lathover3, yearcol = "year2", 
                   indivcol = "individ")

ehrlen3mean <- lmean(ehrlen3)
lambda3(ehrlen3mean)

# }