calcLognormalKernel function

Calculate Lognormal Stochastic Matrix

Given a distance matrix from calcVinEll, calculate a stochastic matrix where one step movement probabilities follow a lognormal density.

calcLognormalKernel(distMat, meanlog, sdlog)

Arguments

• distMat: Distance matrix from calcVinEll
• meanlog: Log mean of Lognormal distribution
• sdlog: Log standard deviation of Lognormal distribution

Details

The distribution and density functions for the lognormal kernel are given below:

where $\mu$ is the mean on the log scale, and $\sigma$ is the standard deviation on the log scale.

Examples

# setup distance matrix
# two-column matrix with latitude/longitude, in degrees
latLong = cbind(runif(n = 5, min = 0, max = 90),
                runif(n = 5, min = 0, max = 180))

# Vincenty Ellipsoid  distance formula
distMat = calcVinEll(latLongs = latLong)

# calculate lognormal distribution over distances
#  mean and standard deviation are just for example
kernMat = calcLognormalKernel(distMat = distMat, meanlog = 100, sdlog = 10)