Tuyển tập các báo cáo nghiên cứu về lâm nghiệp được đăng trên tạp chí lâm nghiệp Original article đề tài: Estimating the sustainable harvesting and the stable diameter distribution of European beech with projection matrix models. | Ann. For. Sci. 64 2007 593-599 INRA EDP Sciences 2007 DOI forest 2007037 Available online at Original article Estimating the sustainable harvesting and the stable diameter distribution of European beech with projection matrix models Ignacio LÓPEZa Sigfredo Francisco ORTUNoa Ángel Julián MARTÍNa Carmen FULLANAb a Universidad Politécnica de Madrid UPM ETSI de Montes 28040 Madrid Spain b Universidad Pontificia de Comillas Alberto Aguilera 23 28015 Madrid Spain Received 20 October 2006 accepted 21 February 2007 Abstract - We present a projection matrix model to estimate the sustainable harvest rates and the stable diameter distributions of three qualities of European beech in the Spanish province of Navarre. Considering a period of 10 years and the diameter growth trees were grouped into five classes 0 10 10 20 20 30 30 40 and over 40 cm. The transition probabilities were calculated assuming an approximation by splines to the diameter growth curves and uniform distributions for the diameters in each class. A condition for sustainable harvesting leading to reach in each harvest the stable diameter distribution was introduced. The results obtained suggest that for each projection and depending on the quality harvest rates in the range for recruitments in the range 200-840 stems ha may be sustained without risk of a population reduction. Finally the stable diameter distributions in relation to the recruitment were also obtained for each quality. sustainability projection matrix model European beech harvesting stable diameter distribution Résumé - Estimation de la récolte renouvelable et de la distribution stable du diamètre du hêtre par une projection de modèles matriciels. Nous présentons une projection de modèle matriciel pour estimer les taux de récolte renouvelable et les distributions stables de diamètre de trois qualités de hêtre dans la province espagnole de Navarre. La croissance en diamètre sur une période de 10 ans a été .
