The pipe-model theory is used as a framework for the derivation of models describing the growth of average stem length, total basal area, and total volume of an even-aged, self-thinning, mono-species stand. Variations of the models are derived for two situations: (1) where the annual rates of substrate production and feeder-root turnover can be assumed constant over time, and (2) where these rates are expected to change over time, such as in polluted environments. The model describing the growth of stand volume for the first situation has been studied previously and shows good agreement with yield tables. Growth rate models applicable to individual trees are described and preferred over similar models derived previously by the author
