Model of mixed effects of height dependence on tree diameters in pine stands
https://doi.org/10.21266/2079-4304.2021.237.59-74
Abstract
The main data for the stock of research results is the diameter of measurements and heights of trees. But measurements of the diameter at breast height are much easier to perform than measurements of heights, therefore, they are limited to measuring the heights of 15–25 trees. The aim of the study is to select the most adequate simple model based on the measurements of model trees in pine antiquities, which conveys the relationship between the height of trees and the diameter at breast height. The object of the study was pine stands of artificial origin on permanent test plots in the Forest Experimental Station Russian State Agararian University – Moscow Timiriazev Agricultural Academy. The work uses data from tree measurements on 17 permanent sample plots from 1934 to 2005. The age of the stands at the time of measurements was from 50 to 125 years. As a result of 77 enumerations, the data array amounted to 1157 observations. Both the fixed effects model and the mixed effects model adequately describe the relationship between heights and diameters of trees in pine stumps. But, as expected, the first model has worse quality metrics than the second. The mixed effects model more accurately predicts heights from the fixed effects model. The missing heights of a large number of trees on a site can be calculated accurately using mixed effects models, rather than using fixed effects models or using only a fixed portion (mean response) of the mixed effects model. The application of the developed model should be limited only in those conditions to which the experimental materials are applied.
About the Authors
N. N. Dubenok
Forestry and Land Management at Russian State Agrarian University – Moscow Timiryazev Agricultural Academy
Russian Federation
Russian Federation
DUBENOK Nikolay N. – DSс (Agriculture), professor, academician of RAS, head of the department of Agricultural Reclamation
127550. Timiryazevskaya str. 49. Moscow
V. V. Kuzmichev
Forestry and Land Management at Russian State Agrarian University – Moscow Timiryazev Agricultural Academy
Russian Federation
Russian Federation
KUZMICHEV Valery V. – DSс (Biology), professor, head of laboratory of the department of Agricultural Reclamation
127550. Timiryazevskaya str. 49. Moscow
A. V. Lebedev
Forestry and Land Management at Russian State Agrarian University – Moscow Timiryazev Agricultural Academy
Russian Federation
Russian Federation
LEBEDEV Aleksandr V. – PhD (Agriculture), lecturer of the department of Agricultural Reclamation
127550. Timiryazevskaya str. 49. Moscow
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Review
For citations:
Dubenok N.N., Kuzmichev V.V., Lebedev A.V. Model of mixed effects of height dependence on tree diameters in pine stands. Izvestia Sankt-Peterburgskoj lesotehniceskoj akademii. 2021;(237):59-74. (In Russ.) https://doi.org/10.21266/2079-4304.2021.237.59-74
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