bai.out: Basal Area Increment (Outside In)

Description

Convert multiple ring-width series to basal area increment (i.e., ring area) going from the bark to the pith.

Usage

bai.out(rwl,diam=NULL)

Arguments

rwl

a data.frame with series as columns and years as rows such as that produced by read.rwl

diam

an optional data.frame containing two variables. If present, variable one (series in the example below) gives the series ID as either characters or factors. These must exactly match colnames(rwl)

`Value`

A data.frame containing the ring-areas for each series with column names, row names and dimensions of rwl.

`Details`

This converts ring-width series (mm) to ring-area series (mm squared) (aka basal area increments) based on the diameter of the tree and the width of each ring moving towards the pith of the tree. It is related to bai.in, which calculates each ring area starting from the inside of the tree and working outward. Both methods assume a circular cross section (Biondi 1999). See the references below for further details.

`References`

Biondi, F. (1999) Comparing tree-ring chronologies and repeated timber inventories as firest 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.

`See Also`

bai.in

`Examples`

Run this code# toy
  n <- 100
  # make three fake tree ring series to show that these funcs work on rwl objects
  rwl <- data.frame(x1 = 0.75 + exp(-0.2*1:n) + abs(rnorm(n,0,0.05)),
    x2 = 0.75 + exp(-0.2*1:n) + abs(rnorm(n,0,0.05)),
    x3 = 0.75 + exp(-0.2*1:n) + 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.dbh)
  # dbh (minus the bark) from cm to mm 
  gp.dbh2 <- gp.dbh[,1:2]
  gp.dbh2[,2] <- (gp.dbh[,2] - gp.dbh[,3]) * 10
  bar <- bai.out(rwl=gp.rwl,diam=gp.dbh2)
  bar.crn <- chron(bar)
  yr <- as.numeric(rownames(bar.crn))
  plot(yr,bar.crn[,1],type='n',
    xlab='Year', ylab=expression(mm^2))
  lines(yr,bar.crn[,1],col='grey',lty='dashed')
  lines(yr,ffcsaps(bar.crn[,1],nyrs=32),col='red',lwd=2)
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