Hx_root.f

Internal function not usually called by users

Implementation of functions for fitting taper curves (a semiparametric
linear mixed effects taper model) to diameter measurements along stems. Further
functions are provided to estimate the uncertainty around the predicted curves,
to calculate timber volume (also by sections) and marginal (e.g., upper) diameters.
For cases where tree heights are not measured, methods for estimating
additional variance in volume predictions resulting from uncertainties in
tree height models (tariffs) are provided. The example data include the taper
curve parameters for Norway spruce used in the 3rd German NFI fitted to 380 trees
and a subset of section-wise diameter measurements of these trees. The functions
implemented here are detailed in Kublin, E., Breidenbach, J., Kaendler, G. (2013)
<doi:10.1007/s10342-013-0715-0>.

Christian Vonderach

TapeR

Flexible Tree Taper Curves Based on Semiparametric Mixed Models

Edgar Kublin

Johannes Breidenbach

Hx_root.f function

<dl><dt>Hx</dt>
<dd>Numeric vector of stem heights (m) along which to return the 
expected diameter</dd>
<dt>Dx</dt>
<dd>expected diameter</dd>
<dt>Hm</dt>
<dd>Numeric vector of stem heights (m) along which diameter measurements 
were taken for calibration. Can be of length 1. Must be of same length as <code>Dm</code></dd>
<dt>Dm</dt>
<dd>Numeric vector of diameter measurements (cm) taken for calibration.
Can be of length 1. Must be of same length as <code>Hm</code></dd>
<dt>mHt</dt>
<dd>Scalar. Tree height (m)</dd>
<dt>sHt</dt>
<dd>Scalar. Standard deviation of stem height. Can be 0 if height was 
measured without error</dd>
<dt>par.lme</dt>
<dd>List of taper model parameters obtained by 
<code>TapeR_FIT_LME.f</code>.</dd>
<dt>Rfn</dt>
<dd>list with function name to provide estimated or assumed residual 
variances for the given measurements, optionally parameters for such functions</dd>
<dt>...</dt>
<dd>not currently used</dd></dl>

Arguments

Author

find root (height) given diameter, measurements and fitted model — Hx_root.f

<dl>

<dt>Hx</dt>
<dd>Numeric vector of stem heights (m) along which to return the 
expected diameter</dd>


<dt>Dx</dt>
<dd>expected diameter</dd>


<dt>Hm</dt>
<dd>Numeric vector of stem heights (m) along which diameter measurements 
were taken for calibration. Can be of length 1. Must be of same length as <code>Dm</code></dd>


<dt>Dm</dt>
<dd>Numeric vector of diameter measurements (cm) taken for calibration.
Can be of length 1. Must be of same length as <code>Hm</code></dd>


<dt>mHt</dt>
<dd>Scalar. Tree height (m)</dd>


<dt>sHt</dt>
<dd>Scalar. Standard deviation of stem height. Can be 0 if height was 
measured without error</dd>


<dt>par.lme</dt>
<dd>List of taper model parameters obtained by 
<code>TapeR_FIT_LME.f</code>.</dd>


<dt>Rfn</dt>
<dd>list with function name to provide estimated or assumed residual 
variances for the given measurements, optionally parameters for such functions</dd>


<dt>...</dt>
<dd>not currently used</dd>

</dl>

Hx_root.f: find root (height) given diameter, measurements and fitted model

Description

Usage

Value

Arguments

Author

Details