1983/12/01 by Oscar Garcı́a · 1 citation
Environmental Science · Mathematics · #Algorithm #Applied mathematics #Differential (mechanical device) #Differential equation #Forest ecology and management #Function (biology) #Growth function #Growth model #Likelihood function #Mathematical analysis #Mathematical economics #Mathematical optimization #Mathematics #Maximum likelihood #Remote Sensing and LiDAR Applications #Soil Geostatistics and Mapping #Statistics #Stochastic differential equation
paper · doi:10.2307/2531339
openalex publication_date 1983/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22
SUMMARY A brief review of the uses and methods of height-growth prediction in forestry is given in ?2. In ?3 the proposed growth model is presented; it consists of a stochastic differential equation related to the Bertalanffy-Richards growth model, and a measurement-error com- ponent. Explicit expressions and an efficient computational procedure for the likelihood function are obtained. In ?4 a method for the simultaneous maximum likelihood estimation of global and local parameters is outlined. The log likelihood function is maximized by a modified Newton method. The special structure of the problem is exploited in order to handle the very large number of variables involved in the optimization. The approach presented has been success- fully implemented, and some computational experience is reported in ?5.