https://github.com/cran/spatstat
Tip revision: 4b1b757a8dfaf6fa6dfb3d3e862aeb2abdfe4f00 authored by Adrian Baddeley on 27 July 2009, 19:54:06 UTC
version 1.16-1
version 1.16-1
Tip revision: 4b1b757
rmhMulti.R
#
# tests of rmh, running multitype point processes
#
require(spatstat)
if(!exists("nr"))
nr <- 1e4
if(!exists("nv"))
nv <- 0
# Multitype Poisson
modp2 <- list(cif="poisson",
par=list(beta=2), types=letters[1:3], w = square(10))
Xp2 <- rmh(modp2, start=list(n.start=0), control=list(p=1))
# Multitype Strauss:
beta <- c(0.027,0.008)
gmma <- matrix(c(0.43,0.98,0.98,0.36),2,2)
r <- matrix(c(45,45,45,45),2,2)
mod08 <- list(cif="straussm",par=list(beta=beta,gamma=gmma,radii=r),
w=c(0,250,0,250))
X1.straussm <- rmh(model=mod08,start=list(n.start=80),
control=list(ptypes=c(0.75,0.25),nrep=nr,nverb=nv))
# Multitype Strauss conditioning upon the total number
# of points being 80:
X2.straussm <- rmh(model=mod08,start=list(n.start=80),
control=list(p=1,ptypes=c(0.75,0.25),nrep=nr,
nverb=nv))
stopifnot(X2.straussm$n == 80)
# Conditioning upon the number of points of type 1 being 60
# and the number of points of type 2 being 20:
X3.straussm <- rmh(model=mod08,start=list(n.start=c(60,20)),
control=list(fixall=TRUE,p=1,ptypes=c(0.75,0.25),
nrep=nr,nverb=nv))
stopifnot(all(table(X3.straussm$marks) == c(60,20)))
# Multitype Strauss hardcore:
rhc <- matrix(c(9.1,5.0,5.0,2.5),2,2)
mod09 <- list(cif="straushm",par=list(beta=beta,gamma=gmma,
iradii=r,hradii=rhc),w=c(0,250,0,250))
X.straushm <- rmh(model=mod09,start=list(n.start=80),
control=list(ptypes=c(0.75,0.25),nrep=nr,nverb=nv))
# Multitype Strauss hardcore with trends for each type:
beta <- c(0.27,0.08)
tr3 <- function(x,y){x <- x/250; y <- y/250;
exp((6*x + 5*y - 18*x^2 + 12*x*y - 9*y^2)/6)
}
# log quadratic trend
tr4 <- function(x,y){x <- x/250; y <- y/250;
exp(-0.6*x+0.5*y)}
# log linear trend
mod10 <- list(cif="straushm",par=list(beta=beta,gamma=gmma,
iradii=r,hradii=rhc),w=c(0,250,0,250),
trend=list(tr3,tr4))
X1.straushm.trend <- rmh(model=mod10,start=list(n.start=350),
control=list(ptypes=c(0.75,0.25),
nrep=nr,nverb=nv))
# Multitype Strauss hardcore with trends for each type, given as images:
bigwin <- square(250)
i1 <- as.im(tr3, bigwin)
i2 <- as.im(tr4, bigwin)
mod11 <- list(cif="straushm",par=list(beta=beta,gamma=gmma,
iradii=r,hradii=rhc),w=bigwin,
trend=list(i1,i2))
X2.straushm.trend <- rmh(model=mod11,start=list(n.start=350),
control=list(ptypes=c(0.75,0.25),expand=1,
nrep=nr,nverb=nv))
#######################################################################
############ checks on distribution of output #######################
#######################################################################
checkp <- function(p, context, testname, failmessage, pcrit=0.01) {
if(missing(failmessage))
failmessage <- paste("output failed", testname)
if(p < pcrit)
warning(paste(context, ",", failmessage), call.=FALSE)
cat(paste("\n", context, ",", testname, "has p-value", signif(p,4), "\n"))
}
# Multitype Strauss code; output is multitype Poisson
beta <- 100 * c(1,1)
ri <- matrix(0.07, 2, 2)
gmma <- matrix(1, 2, 2) # no interaction
tr1 <- function(x,y){ rep(1, length(x)) }
tr2 <- function(x,y){ rep(2, length(x)) }
mod <- rmhmodel(cif="straussm",
par=list(beta=beta,gamma=gmma,radii=ri),
w=owin(),
trend=list(tr1,tr2))
X <- rmh(mod, start=list(n.start=0), control=list(nrep=1e6))
# The model is Poisson with intensity 100 for type 1 and 200 for type 2.
# Total number of points is Poisson (300)
# Marks are i.i.d. with P(type 1) = 1/3, P(type 2) = 2/3.
# Test whether the total intensity looks right
#
p <- ppois(X$n, 300)
p.val <- 2 * min(p, 1-p)
checkp(p.val,
"In multitype Poisson simulation",
"test whether total number of points has required mean value")
# Test whether the mark distribution looks right
ta <- table(X$marks)
cat("Frequencies of marks:")
print(ta)
checkp(chisq.test(ta, p = c(1,2)/3)$p.value,
"In multitype Poisson simulation",
"chi-squared goodness-of-fit test for mark distribution (1/3, 2/3)")
#####
#### multitype Strauss code; fixall=TRUE;
#### output is multinomial process with nonuniform locations
####
the.context <- "In nonuniform multinomial simulation"
beta <- 100 * c(1,1)
ri <- matrix(0.07, 2, 2)
gmma <- matrix(1, 2, 2) # no interaction
tr1 <- function(x,y){ ifelse(x < 0.5, 0, 2) }
tr2 <- function(x,y){ ifelse(y < 0.5, 1, 3) }
# cdf of these distributions
Fx1 <- function(x) { ifelse(x < 0.5, 0, ifelse(x < 1, 2 * x - 1, 1)) }
Fy2 <- function(y) { ifelse(y < 0, 0,
ifelse(y < 0.5, y/2,
ifelse(y < 1, (1/2 + 3 * (y-1/2))/2, 1))) }
mod <- rmhmodel(cif="straussm",
par=list(beta=beta,gamma=gmma,radii=ri),
w=owin(),
trend=list(tr1,tr2))
X <- rmh(mod, start=list(n.start=c(50,50)),
control=list(nrep=1e6, expand=1, p=1, fixall=TRUE))
# The model is Poisson
# Mean number of type 1 points = 100
# Mean number of type 2 points = 200
# Total intensity = 300
# Marks are i.i.d. with P(type 1) = 1/3, P(type 2) = 2/3
# Test whether the coordinates look OK
Y <- split(X)
X1 <- Y[[names(Y)[1]]]
X2 <- Y[[names(Y)[2]]]
checkp(ks.test(X1$y, "punif")$p.value,
the.context,
"Kolmogorov-Smirnov test of uniformity of y coordinates of type 1 points")
if(any(X1$x < 0.5)) {
warning(paste(the.context, ",",
"x-coordinates of type 1 points are IMPOSSIBLE"), call.=FALSE)
} else {
checkp(ks.test(Fx1(X1$x), "punif")$p.value,
the.context,
"Kolmogorov-Smirnov test of uniformity of transformed x coordinates of type 1 points")
}
checkp(ks.test(X2$x, "punif")$p.value,
the.context,
"Kolmogorov-Smirnov test of uniformity of x coordinates of type 2 points")
checkp(ks.test(Fy2(X2$y), "punif")$p.value,
the.context,
"Kolmogorov-Smirnov test of uniformity of transformed y coordinates of type 2 points")