FYI

-------- Messaggio originale --------
Da: Conservation Ecology <[email protected]>
Inviato il: Sun Mar 03 21:41:50 CET 2013
A: [email protected]
Oggetto: [New post] Calculating average percentual Home-range overlaps in R

Post       : Calculating average percentual Home-range overlaps in R
URL        : 
http://conservationecology.wordpress.com/2013/03/03/calculating-percentual-home-range-overlaps-in-r/
Posted     : March 3, 2013 at 9:41 pm
Author     : Curlew
Tags       : home-range, ornithology, r-code, spatial overlaps
Categories : Biology, GIS, Statistics

If you are studying ornithology you can usually fall back on a rich basis of 
knowledge accumulated over many years by volunteers, birders and professional 
ornithologist. I can think of no other taxonomic group that has been studied 
this intensively (well, maybe plants). Any yet it amazes me that stil
http://conservationecology.files.wordpress.com/2013/03/web_20090415_951.jpg&h=180
l we lack so much knowledge and data about why bird populations are declining 
and what the reasons for these declines are. For instance since some years it 
has been known that especially long-distant migrants are quite vulnerable to 
multiple reasons like habitat degradation and climate change in their wintering 
grounds (Berthold et al. 1998, Sanderson et al. 2006; Heldbjerg & Fox 2008). 
Since so little is known (if for example compared to the American migration 
route) about how those species behave, forage and migrate in the areas below 
the Sahara, there is an urgent need for more information and data. Using the 
newest technology such as very tiny GPS loggers we became able to track many 
declining birds to their wintering grounds.
Right know i am working with relocation data from 3 warbler species, which is a 
quite a new way of thinking for me (waypoints instead of occurence points) and 
right now i am diving into the topic by analyzing this data to for instance 
estimate the amount of overlaps between many species.

In this R-code i show you how you can easily use the package adehabitat for R 
to estimate the home-range using an adhoc Kernel. In my example i have used a 
point-layer containing relocation data with a Date and Time and a Species ID 
(Bird_ID) of 3 warbler species in an area in southern Senegal.

require(adehabitat);library(rgdal)

# Read in your Relocation Layer
spp <- readOGR("source","layer")

# Construct an adhoc Kernel for my 3 different warbler species
k <- kernelUD(as.data.frame(coordinates(spp)),
id=spp$Bird_ID,h="href",same4all=T,grid=200)

# Calculate the area in square kilometers for a 50% Core-Zone and 95% Zone
kernel.area(data.frame(coordinates(spp)),
id=spp$Bird_ID,levels=c(50,95),unin="m",unout="km2")

# Calculate the Overlap of the kernel in Percent for all Bird species
(kov <- kerneloverlaphr(k,method="HR",lev=95)) # Percentage Overlap 95

http://conservationecology.files.wordpress.com/2013/03/overlap.png&h=142 
Calculating Percentage values of overlaps usually returns a matrix containing 
two different values. The percentage overlap from the smaller home-range to the 
bigger and vice versa (See Picture - Area C). Therefore there could be two 
different percentage values depending from which site you're looking at it.

My approach for this problem has been to simply swap the distance matrix and 
average the percentage values (this is kinda inaccurate, but still used in some 
newer papers), but i also would advice to use other indices, like the 
Utilization distribution Overlap Index (UDOI) proposed by Fieberg and Kochanny 
in 2005.

# SwapMatrix function to convert a distance matrix into a data.frame
swapMatrix <- function(m) {
ut <- upper.tri(m)
data.frame(i = rownames(m)[row(m)[ut]],
j = rownames(m)[col(m)[ut]],
x=t(m)[ut],
y=(m)[ut])
}
m <- swapMatrix(kov) # Swap your overlap
m$avg <- rowMeans(m[,3:4]) # And calculate the average of both values

Thats be it for now. I am still in the process of exploring all those 
techniques to investigate species home-ranges. Any links or cool examples are 
much appreciated.

References:

* Berthold, P, Fiedler, W, Schlenker, R, Querner, U, "25-year study of the 
population development of Central European songbirds: a general decline, most 
evident in long-distance migrants." Naturwissenschaften 85.7 (1998): 350-353.
* Sanderson, Fiona J, Donald, Paul F., Pain, Deborah J., Burfield, Ian J., van 
Bommel, Frans P.J. "Long-term population declines in Afro-Palearctic migrant 
birds." Biological Conservation 131.1 (2006): 93-105.
* Heldbjerg, Henning, and Fox, Tony (AD) "Long-term population declines in 
Danish trans-Saharan migrant birds: Capsule Long-distance migrant birds show 
less favourable trends than sedentary/short-distance species." Bird Study 55.3 
(2008): 267-279.
* Fieberg, J. and Kochanny, C.O. (2005) Quantifying home-range overlap: the 
importance of the utilization distribution. Journal of Wildlife Management, 69, 
1346–1359.

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