Convert multiple ring-width series to basal area increment (i.e., ring area) going from the pith to the bark.
This converts ring-width series (mm) to ring-area series (mm squared)
(aka basal area increments) based on the distance between the
innermost measured ring and the pith of the tree. It is related to
bai.out, which calculates each ring area starting from
the outside of the tree and working inward. Both methods assume a
circular cross section (Biondi 1999). See the references below for
data.frame containing the ring areas for each series with
column names, row names and dimensions of
DendroLab website: http://dendrolab.org/
Code by Andy Bunn based on work from DendroLab, University of Nevada Reno, USA. Patched and improved by Mikko Korpela.
Biondi, F. (1999) Comparing tree-ring chronologies and repeated timber inventories as forest monitoring tools. Ecological Applications, 9(1), 216–227.
Biondi, F. and Qeadan, F. (2008) A theory-driven approach to tree-ring standardization: Defining the biological trend from expected basal area increment. Tree-Ring Research, 64(2), 81–96.
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library(graphics) library(stats) library(utils) ## Toy n <- 100 ## Make three fake tree-ring series to show that these funcs work on rwl objects base.series <- 0.75 + exp(-0.2 * 1:n) rwl <- data.frame(x1 = base.series + abs(rnorm(n, 0, 0.05)), x2 = base.series + abs(rnorm(n, 0, 0.05)), x3 = base.series + abs(rnorm(n, 0, 0.05))) ## The inside out method foo <- bai.in(rwl = rwl) ## The outside in method bar <- bai.out(rwl = rwl) ## Identical head(bar) head(foo) ## Use gp data data(gp.rwl) data(gp.d2pith) foo <- bai.in(rwl = gp.rwl, d2pith = gp.d2pith) foo.crn <- chron(foo) yrs <- time(foo.crn) plot(yrs, foo.crn[, 1], type = "n", xlab = "Year", ylab = expression(mm^2)) lines(yrs, foo.crn[, 1], col = "grey", lty = "dashed") lines(yrs, ffcsaps(foo.crn[, 1], nyrs = 32), col = "red", lwd = 2)
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