Excerpt from Thinning Even-Aged Forest Stands: Behavior of Singular Path Solutions in Optimal Control Analyses Optimal control theory (oct) is an approach that has been used in a wide variety of time-dependent problems in areas such as manufacturing, aerospace, and economics. In the forestry context, oct and other mathematical tech niques allow the concurrent consideration of time-based stand growth concepts and dynamic economic concepts such as discount rates. Oct is a useful technique when forest managers see economic efficiency as a factor in making decisions about when and how much to cut from even-aged stands. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.