J. Lappi et J. Malinen, RANDOM-PARAMETER HEIGHT AGE MODELS WHEN STAND PARAMETERS AND STAND AGE ARE CORRELATED/, Forest science, 40(4), 1994, pp. 715-731
Height/age curves of dominant trees in a stand can be predicted using
models containing random stand and tree parameters. If the population
mean curve is estimated from the data where stand-specific parameters
are correlated with stand age (e.g., because old stands are growing on
poor sites), this correlation may cause biased estimates. The same bi
as problem occurs in traditional site index methods. It is shown how o
rdinary least squares estimates of tree specific parameters can be use
d for computing unbiased estimates of the population mean parameters a
nd for estimating the relationship between stand parameters and stand
age. The application of the estimated model several years after the da
ta collection time is problematic because it should be known how the p
opulation changes over time.