Article
Growth Relationships in Silver Fir Stands at Their
Lower-Altitude Limit in Romania
Gheorghe-Marian Tudoran
1,
*, Avram Cics
,
a
1,2
, Albert Ciceu
1,2
and Alexandru-Claudiu Dobre
1,2
Citation: Tudoran, G.-M.; Cics
,
a, A.;
Ciceu, A.; Dobre, A.-C. Growth
Relationships in Silver Fir Stands at
Their Lower-Altitude Limit in
Romania. Forests 2021, 12, 439.
https://doi.org/10.3390/f12040439
Academic Editors: Alessandra De
Marco and Timothy A. Martin
Received: 20 January 2021
Accepted: 3 April 2021
Published: 5 April 2021
Publisher’s Note: MDPI stays neutral
with regard to jurisdictional claims in
published maps and institutional affil-
iations.
Copyright: © 2021 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article
distributed under the terms and
conditions of the Creative Commons
Attribution (CC BY) license (https://
creativecommons.org/licenses/by/
4.0/).
1
Department of Forest Engineering, Forest Management Planning and Terrestrial Measurements, Faculty of
Silviculture and Forest Engineering, “Transilvania” University, 1, Ludwig van Beethoven Str.,
500123 Bra¸ sov, Romania; cicsa_avram@yahoo.co.uk (A.C.); albert.ciceu@yahoo.ro (A.C.);
dobre.alexandruclaudiu@gmail.com (A.-C.D.)
2
Department of Forest Monitoring, “Marin Drăcea” Romanian National Institute for Research and
Development in Forestry, 128 Eroilor Blvd., 077190 Voluntari, Romania
* Correspondence: tudoran.george@unitbv.ro; Tel.: +40-268-418-600
Abstract: This study presents the biometric relationships among various increments that is useful in
both scientific and practical terms for the silvicultural of silver fir. The increments recorded in the
biometric characteristics of trees are a faithful indicator of the effect of silvicultural work measures
and of environmental conditions. Knowing these increments, and the relationships among them, can
contribute to adaptations in silvicultural work on these stands with the purpose of reducing risks
generated by environmental factors. We carried an inventory based on tree increment cores. The
sample size was determined based on both radial increment and height increment variability of the
trees. The sample trees were selected in proportion to their basal area on diameter categories. Current
annual height increment (CAI
h
) was measured on felled trees from mean tree category. For CAI
h
we generated models based on the mean tree height. Percentages of the basal area increment and
of form-height increment were used to compute the current annual volume increment percentage
(PCAI
v
). For the mean tree, the CAI
h
estimated through the used models had a root-mean-square
error (RMSE) of 0.8749 and for the current annual volume increment (CAI
v
) the RMSE value was
0.1295. In even-aged stands, the mean current volume increment tree is a hypothetical tree that
may have the mean basal area of all the trees and the form-height of the stand. Conclusions: The
diameter, height, and volume increments of trees are influenced by structural conditions and natural
factors. The structures comprising several generations of fir mixed with beech and other deciduous
trees, which have been obtained by the natural regeneration of local provenances, are stable and
must become management targets. Stable structures are a condition for the sustainable management
of stands.
Keywords: silver fir; current annual increment; percentage volume increment; basal area; tree
diameter; tree form-height
1. Introduction
In Romania, the fir (Abies alba Mill.) is frequently found mixed with beech (Fagus
sylvatica L.) at altitudes between 700 and 1200 m. Mixed of fir and beech forests are for-
mations representative of the lower mountain zone in Romania. Of the coniferous trees,
Norway spruce (Picea abies (L.) Karst.) descends to these altitudes sporadically, but heat and
reduced precipitation become limiting factors to its lower range; the proportion of spruce
increases with altitude. Fir and beech influence climatic factors differently—especially hu-
midity, light, and heat—so that, under the shelter they provide, beech seedlings frequently
become established under fir, and vice versa. Consequently, the structures of stands are
greatly varied in terms of the relative proportions of the two species. The stands structures
present a wide range of diameter categories and offer the most favorable conditions for
promoting structure of the uneven-aged stand type, which is characteristic of the natural
Forests 2021, 12, 439. https://doi.org/10.3390/f12040439 https://www.mdpi.com/journal/forests