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Juha Lappi (email)

Smooth height/age curves from stem analysis with linear programming

Lappi J. (2006). Smooth height/age curves from stem analysis with linear programming. Silva Fennica vol. 40 no. 2 article id 344. https://doi.org/10.14214/sf.344


Stem analysis data defines a range of possible heights for each age. A smooth stem/age curve is obtained with linear programming (LP) when the sum of the absolute second differences of heights is minimized subject to constraints obtained from the stem analysis. The method is analogous to cubic splines. A LP problem can include additional constraints that are based on the assumption that the crosscut is randomly located within the annual height increment. The method produces smoother height curves than Issa method which is utilizing second order differences of ring counts. It was found using simulated data that the method provides better results than earlier methods for short bolts if height growth is sufficiently regular.

height growth; spline; ring counts; second order difference; Issa

Author Info
  • Lappi, Finnish Forest Research Institute, Suonenjoki Research Unit, Juntintie 154, FI-77600 Suonenjoki, Finland E-mail juha.lappi@metla.fi (email)

Received 11 May 2005 Accepted 20 March 2006 Published 31 December 2006

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Available at https://doi.org/10.14214/sf.344 | Download PDF

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