marginalVoidProbIntegrand {nimbleSCR}

Integrand of the marginal void probability integral

Description

Integrand of the marginal void probability integral. The domain of this function is the habitat domain.

Usage

marginalVoidProbIntegrand(
  x,
  lowerCoords,
  upperCoords,
  sd,
  baseIntensities,
  numPoints,
  numWindows
)

Arguments

x

Matrix of x- and y-coordinates of a set of spatial points. One row corresponds to one point.

lowerCoords, upperCoords

Matrices of lower and upper x- and y-coordinates of a set of detection windows. One row for each window.

sd

Standard deviation of the isotropic multivariate normal distribution.

baseIntensities

Vector of baseline detection intensities for all detection windows.

numPoints

Number of points that should be considered. This value (positive integer) is used to truncate x so that extra rows beyond numPoints are ignored.

numWindows

Number of windows. This value (positive integer) is used to truncate lowerCoords and upperCoords so that extra rows beyond numWindows are ignored.

Value

A vector of values of the integrand evaluated at each point of x.

Author(s)

Wei Zhang

References

W. Zhang, J. D. Chipperfield, J. B. Illian, P. Dupont, C. Milleret, P. de Valpine and R. Bischof. 2020. A hierarchical point process model for spatial capture-recapture data. bioRxiv. DOI 10.1101/2020.10.06.325035

Examples

x <- matrix(runif(10, 0, 2), nrow = 5)
lowerCoords <- matrix(c(0, 0, 1, 0, 0, 1, 1, 1), nrow = 4, byrow = TRUE)
upperCoords <- matrix(c(1, 1, 2, 1, 1, 2, 2, 2), nrow = 4, byrow = TRUE)
sd <- 0.1
baseIntensities <- c(1:4)
numPoints <- 5
numWindows <- 4
marginalVoidProbIntegrand(x, lowerCoords, upperCoords, sd, baseIntensities, numPoints, numWindows)