fig1 {ecespa}R Documentation

Artificial point data.

Description

The three different point patterns in the figure 3.1 of De la Cruz (2007)

Usage

data(fig1)

Format

A data frame with 87 observations on the following 2 variables.

x
x coordinate
y
y coordinate

References

De la Cruz, M. 2007. Metodos para analizar datos puntuales. En: Introduccion al Analisis Espacial de Datos en Ecologia y Ciencias Ambientales: Metodos y Aplicaciones (eds. Maestre, F. T., Escudero, A. y Bonet, A.), pp 000-000. Asociacion Espanola de Ecologia Terrestre, Universidad Rey Juan Carlos y Caja de Ahorros del Mediterraneo, Madrid.

Examples

## Not run: 
data(fig1)
data(fig2)
data(fig3)

# transform to ppp format of spatstat with function haz.ppp
fig1.ppp=haz.ppp(fig1)
fig2.ppp=haz.ppp(fig2)
fig3.ppp=haz.ppp(fig3)

#Analyses as in Fig.3.2 of De la Cruz (2007). First, compute function K.
cosa1=Kest(fig1.ppp)

# Plot different estimators. 
par("mar"=par("mar")+c(0,1,0,0))
# Fig. 3.2a 
plot(cosa1, col=c(1,0,0,1), lwd=c(2,2,2,2), lty=c(1,1,1,2), 
     main="")
# Fig. 3.2b
plot(cosa1, sqrt(./pi)-r~r, col=c(1,0,0,1), lwd=c(2,2,2,2), 
     lty=c(1,1,1,2), main="",ylab="L(r)")
# Fig. 3.2c
plot(cosa1, .-(pi*r^2)~r, col=c(1,0,0,1), lwd=c(2,2,2,2), 
     lty=c(1,1,1,2),main="",ylab=expression(K(r)-pi*r^2))
# Fig. 3.2d
plot(cosa1,(./(pi*r^2))-1~r,col=c(1,0,0,1), lwd=c(2,2,2,2), 
     lty=c(1,1,1,2),main="",
     ylab=expression((K(r)/pi*r^2)-1))

## Analyses as in fig. 3.7 of De la Cruz (2007).
## First, compute function K and pointwise envelopes
cosa1.env=envelope(fig1.ppp,Kest)
cosa2.env=envelope(fig2.ppp,Kest)
cosa3.env=envelope(fig3.ppp,Kest)

## Plot function L with pointwise envelopes
plot(cosa1.env,sqrt(./pi)-r~r, lwd=c(1,1,2,2), 
        lty=c(1,1,3,3), col=c(1,1,1,1), xlab="r", 
        ylab="L(r)",main="", ylim=c(-2,2))

## Add simultaneous envelopes of Ripley (+-1.68 *sqrt(A)/N)
abline(h=1.68*sqrt(fig1.ppp$w$area)/fig1.ppp$n, 
         lty=2,lwd=2)
abline(h=-1.68*sqrt(fig1.ppp$w$area)/fig1.ppp$n, 
         lty=2,lwd=2)

## Plot function L with pointwise envelopes
plot(cosa2.env,sqrt(./pi)-r~r, lwd=c(1,1,2,2), 
        lty=c(1,1,3,3), col=c(1,1,1,1), xlab="r", 
        ylab="L(r)",main="")
## Add simultaneous envelopes of Ripley
abline(h=1.68*sqrt(fig2.ppp$w$area)/fig2.ppp$n, 
         lty=2,lwd=2)
abline(h=-1.68*sqrt(fig2.ppp$w$area)/fig2.ppp$n, 
         lty=2,lwd=2)

## Plot function L with pointwise envelopes
plot(cosa3.env,sqrt(./pi)-r~r, lwd=c(1,1,2,2), 
        lty=c(1,1,3,3), col=c(1,1,1,1), xlab="r", 
        ylab="L(r)",main="")
## Add simultaneous envelopes of Ripley
abline(h=1.68*sqrt(fig3.ppp$w$area)/fig3.ppp$n, 
         lty=2,lwd=2)
abline(h=-1.68*sqrt(fig3.ppp$w$area)/fig3.ppp$n, 
         lty=2,lwd=2)
## End(Not run)

[Package ecespa version 1.0-2 Index]