Created
April 20, 2011 14:18
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get a matrix of pairwise geographic distances between locations
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# Convert degrees to radians | |
deg2rad <- function(deg) return(deg*pi/180) | |
# Calculates the geodesic distance between two points specified by | |
# radian latitude/longitude using the Haversine formula | |
# Ouputs distance between sites 1 and 2 as meters | |
gcd.hf <- function(long1, lat1, long2, lat2) { | |
R <- 6371 # Earth mean radius [km] | |
delta.long <- (long2 - long1) | |
delta.lat <- (lat2 - lat1) | |
a <- sin(delta.lat/2)^2 + cos(lat1) * cos(lat2) * sin(delta.long/2)^2 | |
c <- 2 * asin(min(1,sqrt(a))) | |
d = (R * c)*1000 | |
return(d) # Distance in meters | |
} | |
# Fxn to calculate matrix of distances between each two sites | |
# INPUT: a data frame in which longs are in first column and lats in second column | |
# OUTPUT: a distance matrix (class dist) between all pairwise sites | |
# Output distances are in meters | |
CalcDists <- function(longlats) { | |
name <- list(rownames(longlats), rownames(longlats)) | |
n <- nrow(longlats) | |
z <- matrix(0, n, n, dimnames = name) | |
for (i in 1:n) { | |
for (j in 1:n) z[i, j] <- gcd.hf(long1 = deg2rad(longlats[i, 2]), | |
lat1 = deg2rad(longlats[i, 1]), long2 = deg2rad(longlats[j, 2]), | |
lat2 = deg2rad(longlats[j, 1])) | |
} | |
z <- as.dist(z) | |
return(z) | |
} | |
# E.g. | |
longlats <- data.frame(long = rnorm(10), lat = rnorm(10)) | |
dists <- CalcDists(longlats) | |
# convert to kilometers from meters | |
dists/1000 |
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