9755

A Forest Growth Curve

The age-dependence of forest biomass () is shown to be a power-law monomial where the power of the age () is theoretically estimated to be 4/5. However, in testing the 4/5 law against observations, a "rejuvenation bias" () should be introduced to explain the variations in growth pattern induced by delayed development or intensive thinning of the forest stand at the early stage. In other words,
,
where is characterizing site productivity. This graph shows model fits superimposed on the data from a permanent monitoring plot. It allows model testing against independent data.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

The 4/5 law of forest growth is derived from the pipe-model theory of tree growth and the thermodynamic theory of ecological systems. Dimensional analysis, a heuristic method, is used to derive this law. This method is applied to find a verifiable physical law, not for deducing it. This Demonstration allows users to test this derived law against data from permanent monitoring plots.
The results of independent tests could be posted as readers' comments on this article.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+