Ecol Res (2009) 24: 281–290
DOI 10.1007/s11284-008-0505-1
O R I GI N A L A R T IC L E
Jiri Dolezal Æ Jong-Suk Song Æ Jan Altman
Stepan Janecek Æ Tomas Cerny Æ Miroslav Srutek
Jiri Kolbek
Tree growth and competition in a post-logging
Quercus mongolica forest on Mt. Sobaek, South Korea
Received: 22 November 2007 / Accepted: 7 April 2008 / Published online: 28 May 2008
The Ecological Society of Japan 2008
Abstract Secondary woodlands in South Korea cover
most mountains from low to middle elevations. While
general patterns of forest succession are well understood,
little is known about mechanisms of stand recovery after
disturbance. We examined the spatio-temporal variations
in establishment, growth, size inequality, and mode of
competition among trees in a 50-year-old post-logging
Quercus mongolica-dominated stand. We further compared the growth and stem allometry of single trees,
presumably of seed origin, with multi-stemmed trees
resprouting from stumps. Q. mongolica formed the upper
canopy 16–22 m tall, 88.3% of total stand basal area, and
36.2% of total stem density, with most trees established
during the first post-logging decade (51.2% were resprouts). During the first three decades, the Q. mongolica
recruits grew exponentially, and disproportionately more
in diameter than few older reserved trees left after the last
cutting. This substantially decreased size inequality. The
reverse trend was observed from 1994 to 2004: larger trees
grow more, indicating an increasing asymmetry of competition for light. Neighborhood analysis revealed that
when target trees had more or larger neighbors, their
exponential phase of growth was reduced and maximum
J. Dolezal (&) Æ S. Janecek
Department of Functional Ecology,
Institute of Botany, Czech Academy of Sciences,
Dukelská 135, 379 82 Třeboň, Czech Republic
E-mail: jiriddolezal@gmail.com
J. Dolezal Æ J. Altman Æ M. Srutek
Faculty of Science, Department of Botany,
University of South Bohemia, Na Zlate stoce 1,
370 05 České Budějovice, Czech Republic
J.-S. Song
Department of Biological Science,
College of Natural Sciences, Andong National University,
Andong, Gyeongbuk 760-749, South Korea
T. Cerny Æ M. Srutek Æ J. Kolbek
Department of Geobotany,
Institute of Botany, Zámek 1,
252 43 Průhonice, Czech Republic
size was decreased. After the 50 years of stand development, more than 70% of Q. mongolica showed growth
decline as a result of competitive stress, and mortality was
about 30%, concentrated in smaller size classes. Compared to single stems, resprouts within clones do not seem
to compete less asymmetric as might be expected based on
studies of clonal herbaceous plants and physiological
integration within genets. As Q. mongolica was also
negatively affected by competition from woody species
currently prevailing in the lower tree stratum (Tilia
amurensis, Acer mono, Fraxinus rhynchophylla, Acer
pseudosieboldianum), we predict the stand will become
increasingly dominated by these more shade-tolerant
trees.
Keywords Size-dependent growth Æ Quercus
mongolica Æ Sprouting Æ Neighbor effects Æ
Size inequality Æ Richards growth model
Introduction
Many temperate and tropical forests have experienced a
significant rise in logging activities in the second half of
the 20th century. This has increased the importance of
understanding the patterns and mechanisms of stand
recovery after disturbance (Halpern 1988; Pinard et al.
2000). There is a large body of empirical studies that
related the pattern of forest recovery to the nature of
canopy disturbance (e.g., selective vs. clearcut logging),
interaction with ground-layer vegetation, and topsoil
perturbation (Ishikawa and Ito 1989; Pinard et al. 2000),
but also to composition of the pre-disturbance community (Yoshida et al. 2006), and the reproductive
characteristics of the available species (Kammesheidt
1998; Vesk and Westoby 2004). Fewer studies have
examined how the pattern of forest recovery is influenced by growth and local interactions of trees early in
stand development (e.g., Xiaodong and Shugart 2005).
The present study examines the spatio-temporal changes
in growth and survival of Quercus mongolica in a
282
post-logging stand in South Korea in relation to mode
of regeneration and competition among trees.
Quercus mongolica is a canopy tree species that
dominates cool-temperate forests in NE Asia (Tatewaki
1958). Its natural regeneration is often inhibited by
dense bamboo understory and high rodent densities and
acorn removal rates beneath oak canopies (Iida 2004).
Q. mongolica can be described as a long-lived pioneer
because it often requires large stand disturbances (or
bamboo dieback) to regenerate successfully from seeds
(Ishikawa and Ito 1989; Osawa 1992), but then gradually overgrow other species (Kato and Hayashi 2007) to
form the upper, more or less even-aged canopy for 1–300
years (Sano 1997; Abrams et al. 1999). The low acorn
germination rates due to animal feeding have been
recently reported from mixed-oak forests in South
Korea, with more than 70% seedlings originating from
sprouts (Suh and Lee 1998). The intense resprouting in
Q. mongolica has been linked with frequent occurrence
of short, crooked, and multi-stemmed trees, which
contrasts with the straight and longer trunks of the same
species (syn. Q. crispula, Q. grosseserrata, Q. liaotungensis) growing in northeast China and northern Japan,
where single trees of seed-origin are thought to be more
common than resprouts (Wu 2000; Takahashi et al.
2003). As sprouts exhibited a higher growth potential
than seedlings, Suh and Lee (1998) have predicted that
the number and size of sprouts will determine the species
composition and stand structure of future secondary
forests after cutting. To our knowledge, these predictions remain largely unexplored. Here, we use a dataset
consisting of single- and multi-stemmed spatially mapped tree individuals to assess the relative importance of
different regeneration strategies in post-logging recovery
of a mixed-oak forest.
A number of studies have shown that resprouts early in
stand development gain competitive advantage by utilizing resources of stem remnants they originated from
(Bellingham and Sparrow 2000), and hence grow disproportionaly more than stems emerging from seeds (Cao
and Peters 1998). However, later in stand development,
the resprouts can grow disproportionaly less than single
stems as they experience more intense competition within
dense polycormons (Peterson and Jones 1997). To
quantify these temporal size-dependent growth variations, we used the size-growth analysis (Hara 1988) that
enables to delineate between linear, size-proportional and
non-linear, size-disproportional increase in growth rate,
and to infer an alternative mode of plant interference
(symmetric vs. asymmetric competition, Weiner 1990).
We assumed that if trees grow in proportion to their sizes,
thereby depleting limited resources without any individual obtaining a predominance, competition among them
is weak and symmetric, whereas if larger individuals
grow disproportionately more than others, thereby preemptying resources at the expense of smaller plants,
competition is intense and size-asymmetric (Newton and
Jolliffe 1998; Hou et al. 2006).
One major drawback to ‘size-growth’ approach is
that the growth of individuals is taken as a series of
separate intervals, with no assumptions about the temporal pattern of plant growth beyond the single growth
interval analyzed (Damgaard et al. 2002). Recently, the
modelling of the individual growth has been applied in
analyzing and interpreting plant interaction as an
alternative approach to the size-growth analysis (Weiner
1995; Nord-Larsen et al. 2006). This method is based on
fitting individual cumulative growth curves representing
general size–age relationship with explicit growth equations such as the Richards function (Richards 1959),
which is the generalization of the classical curves of
logistic growth (Damgaard et al. 2002), and looking at
the distribution of growth parameters among individuals, and at the effects of different treatments or factors
such as stem origin or different intensity of neighbor
competition on these distributions.
Mountain ranges in South Korea are covered by
secondary woodlands from low to middle elevations
(Lee et al. 1989). While general patterns of forest succession and stand productivity are well understood (e.g.,
Kim and Yang 1996; Son et al. 2004), little is known
about factors that affect tree growth and size-structural
dynamics. We studied a young Q. mongolica population
50 years after logging by combining (1) size-growth
approach described above, with (2) the modelling of
individual growth using the Richards equation, and (3)
the assessment of neighbor influence on radial increments (Phillips et al. 2003). Growth variations were
determined from tree rings through dendroecological
techniques (Schweingruber 1996) and related to stem
origin, size, age, and local crowding intensity.
Methods
Study site
Research was conducted on the northwestern slope of
Mt. Sobaek (1,439 m a.s.l.) in the Sobaek Range, ca. 21
km northwest of the Yeongju city (36 52¢N, 128 31¢E).
The climate is temperate to continental, with dry cold
winters and hot humid summer. According to climatic
data from Yeongju (1970–2000), mean annual temperature is 11.2C, with mean for January 3.2C (monthly
minimum temperature 16.5C), and for July 23.9C
(monthly maximum temperature 33.9C). The summer
monsoon brings abundant moisture from the ocean and
produces heavy rainfall. Mean (±SD) annual precipitation is 1236.9 ± 272.4 mm. Seasonal distribution of
precipitation is 7.9% in winter, 30.1% in spring, 53.2%
in summer, and 8.8% in autumn. January receives the
lowest (19 mm) and July the highest (259 mm) amount
of rainfall. The soil in our study site is mesotrophic
forest cambisol derived from granitic/pegmatitic gneisses. Mean (±SD) values of soil chemical properties:
pHwater 4.72 ± 0.18, pHKCL 3.96 ± 0.18, total nitrogen
283
0.72 ± 0.16%, total phosphorus 5.94 ± 1.85%, exchangeable magnesium 131.6 ± 11.9 mg/kg and calcium 1527.8 ± 167.1 mg/kg. The mean values are from
three composite soil samples (0–5 cm) collected with a
hand-auger in our plots (5–10 cores evenly distributed
on the whole plot area), after the upper roots were
discarded if present.
The studied secondary forest occurred at 900–1,000 m
elevation and established naturally after clearing an oldgrowth stand in mid 1950s and belongs to the Lindero
obtusilobae–Quercion mongolicae alliance (Krestov et al.
2006). The studied stand had a well-developed herb and
shrub stratum (Fig. 1). Eighty-six vascular plant species
were found in the herb-layer (<0.5 m, data from
12 vegetation relevés 10 · 10 m each) including 73 forbs,
14 tree seedling species, 12 shrub seedling species, four
lianas, four grasses, one sedge, and three ferns. The
most common were Carex siderosticta (average coverabundance of 11.8%), Astilbe koreana (7.5%), Ainsliaea
acerifolia (4.3%), Osmunda cinnamomea (3.3%) and
Melampyrum roseum (2.3%). Dwarf-bamboo Sasa
borealis, one of the common species of mixed-oak
forests, occurred only locally. The low bamboo cover
may partly explain a high species richness of understory
vegetation (e.g., Kim and Yang 1996). In the shrub layer
(0.5–5 m), 20 woody species occurred, most commonly
Lindera obtusiloba (5.3%), Tripterygium regellii (2.9%),
Stephanandra incisa (2.8%), and Acer pseudosieboldianum (1.9%).
Data collection and analysis
The tree measurement was conducted during the summer of 2005 in three 20 · 20-m permanent plots randomly located within the core zone of secondary forest
approximately 30–60 apart. Each live and dead tree
>1.3 m tall within the plot was identified and marked,
and its position (x,y coordinates), breast height diameter
(DBH, at 1.3 m), tree height, and crown base height
recorded. In total, 406 trees >1.3 m tall were recorded
within a 0.12-ha area. Additionally, to avoid edge
effects, trees occurring up to 5 m of the plot border were
measured and used as neighbors but not as target trees
in subsequent analysis of neighbor effect on tree growth.
Since there were no significant differences in species
composition and size and age structure among plots
(K–W test, P > 0.05), the data were pooled together for
further analyses. Whether the stems originated from
seeds or from sprouts was determined by examining
stem base connections and searching for stump remnants, but in general it is difficult to clearly distinguish
sprouts from the individuals of seed origin (Roth and
Hepting 1943). Finally, all multi-stemmed individuals
were considered of sprout origin, while single stems of
seed origin. Spatial coordinates of trees and stem/crown
heights were measured using the ultrasonic Haglöf
Vertex III Hypsometer (height resolution: 0.1 m, distance resolution: 0.01 m) equipped with the 360 transponder. Ninety-seven wood cores were extracted from
72 randomly selected trees (20, 24, and 28 trees in plots
1, 2, and 3, respectively) at the 0.3–0.6 m above ground
surface with steel borer (Mora, Sweden) to age the trees
and to reconstruct their growth histories. In asymmetric
stems, two cores were extracted on opposite sides, while
one core was taken in symmetric, cylindrical trunks. The
cores were dried, mounted, sanded, and inspected for
injuries, reaction wood and other aberrant features.
Rings were counted from pith to bark and their widths
measured to the nearest 0.01 mm using the TimeTable
measuring device and PAST32 software (http://
www.sciem.com); the ring-sequences were cross-dated
visually using the pattern of wide and narrow rings, and
verified using the program PAST32. In ca. 27% of cores
in which the pith was missed (as easily happens in
hardwoods with asymmetric stem), the number of
missing rings was estimated from the diameter of the
innermost tree-ring and the average width of the five
following rings.
Size- and age-dependent growth: The temporal sizedependent growth responses were examined by relating
radial increments (absolute growth rate, AGR) for a
specified time-period (e.g., 1999–2004) to stem size at the
beginning of this period using the log-log linear regression:
logðAGR19992004 Þ ¼ a þ q1 logðstem diameter1999 Þ þ c
ð1Þ
Fig. 1 A 50-year-old post-logging Quercus mongolica-dominated
stand in Sobaek Mts., South Korea with Astilbe koreana and
Osmunda cinnamomea as dominant understory species
where a and q are intercept and slope parameters specific
to given growth interval, and c the error term. The size
inequality at the end of each growing interval was
expressed by coefficient of variation (CV), based on the
variance of cumulative increments (stem diameters)
obtained from tree-ring analysis. The growth was further examined as a function of both size and age of a tree
using multiple regression:
284
ð2Þ
where the partial regression coefficient q2 significantly
different from zero indicates that trees of the same size
have different growth rates depending on their age. The
growth-size relations were first determined for all
Q. mongolica trees, and then separately for the singleand multi-stemmed trees. ANCOVA was used to test for
differences in the slope parameter estimates between
trees of different origin.
Individual growth curves: Whether target trees are still
growing actively and thus have no apparent asymptote,
or if they show a decline in radial growth, was tested by
fitting individual cumulative growth curves with the
simple linear model and non-linear Richards model
(Richards 1959):
h
i1=ð1dÞ
Dt ¼ A 1 þ ðd 1ÞeKðtyÞ
ð3Þ
where Dt is stem diameter at age t, A is the asymptotic or
maximum diameter, K defines ‘‘speed’’ of growth, d
determines more or less sigmoid shape of the curve (the
shape parameter is the rate at which diameter
approaches the asymptote at inflection point), and y is
the age of growth inflection. The Richards growth model
is the generalization of the classical growth curves:
Gompertz (d = 1), logistic (d = 2), von Bertalanffy (d =
2/3) and can be compared against these simpler models
(Damgaard et al. 2002). We determined the parameters
in the individual-based growth models and then tested if
trees with different growth pattern differ in stem origin,
size, age, and intensity of crowding they experienced.
Neighborhood analysis: To assess the influence of
neighbors on target tree growth and stem allometry
(relative growth rates calculated as
RGR ¼
½lnðyiþ1 Þ lnðy1 Þ=yr, where yi+1 is final diameter, y1 is
initial diameter, and year is the length of the growth
period in years), several indices of local competition (CI,
or index of crowding intensity) were calculated for every
tree to account for both density- and size-related
neighbor effects. We used the set of linear regressions to
relate tree growth to density-dependent measures calculated as (1) the number of all live neighbors growing
closer than 3 m from the target stem or (2) the number of
all live neighbors taller than the target tree. Sizedependent measures were calculated as (3) the sum of
individual basal areas or stem volumes of all live
neighbors divided by their distances from the target tree
within a circle of 3-m radius around the target stem, or
(4) the sum of individual stem basal areas or volumes of
neighbors taller than the target stem. By discounting the
effects of smaller neighbors on target tree growth, the
asymmetry of competitive effect on growth was examined, i.e., if neighbors larger than target tree have more
than size-proportional negative effect on growth (Thomas and Weiner 1989). To describe the intraspecific
interference in the species-mixed stand, the indices were
calculated using only conspecifics as neighbors, and to
describe the effect of interspecific competition, CI were
calculated using neighbors of all species or heterospecific
neighbors. The neighborhood analysis was restricted for
the last 5 years, during which the arrangement of stems
was likely to be the same for the entire period. A
neighbor was defined as any tree within 3 m of a subject
individual in order to include only the nearest neighbors
that can directly interact with a target tree through the
overlapping crowns and root systems (Weiner 1984).
The CI values were square-root-transformed to achieve
normality of the residuals and homogeneity of variances.
Significant negative correlation between growth and
neighborhood indices was considered as an indirect
evidence of competition.
Results
Composition and stand structure
The stand was dominated by Q. mongolica (88.3% of
total stand basal area) that forms the main canopy 16–
22 m tall, with Tilia amurensis (3.9%), Fraxinus
rhynchophylla (3.2%), Acer pseudosieboldianum (1.6%)
and Acer mono (1.2%) occurring from low to moderate
density in the lower canopy stratum (Fig. 2). The
remaining woody species had each less than one percent
of total stand basal area (Table 1). Quercus mongolica,
Acer pseudo-sieboldianum, Lindera obtusiloba and Tilia
amurensis dominated in order of abundance. Thirty-one
percent of Q. mongolica trees were standing dead stems
(of which 36% was multi-stemmed trees). Except for
liana Tripterygium regellii, all tree species had some
multi-stemmed trees (Table 1). The highest proportions
were found in Acer pseudosieboldianum (98.4%), Fraxinus rhynchophylla (80%) and Acer mono (70%).
Q. mongolica had 51.3% stems growing in polycormons
(68% clones contained two, 26% three, and 6% four
stems). Mean number of conspecific neighbors (±SD)
40
Quercus mongolica Live
35
Quercus mongolica Dead
Acer pseudo-sieboldianum
30
Frequency
logðAGR19952000 Þ ¼ a þ q1 logðstem diameter1955 Þ
þ q2 ðage1995 Þ þ c
Tilia amurensis
25
20
15
10
5
0
0
2
4
6
8
10 12 14 16 18 20 22 24 26
Tree height (m)
Fig. 2 Height distributions for abundant tree species
285
The results of univariate regressions relating radial
increment of Q. mongolica during a 5-year period to the
stem diameter at the beginning of this period show that
in seven out of nine 5-year periods analyzed, the slope
parameter estimates for relationship between AGR and
size on a log–log scale were significantly greater than
zero but less than one (Table 2; Fig. 3). This means that
the relationship between size and relative growth rate
(RGR) was negative, i.e., the relative increment of
smaller trees was higher than that of larger trees, and
hence size inequality, expressed by coefficient of variations of stem diameters, decreased with stand age. In the
multiple regression model where size was held constant,
the tree age had a significant negative effect on radial
growth rate in periods from 1964 to 1984, i.e., younger
trees grew faster than older trees of the same size. Hence,
during the early phase of stand development, the stand
was composed of many small Q, mongolica trees and a
few older reserved trees, most of which were single stems
left after the last cutting. The younger trees were growing faster than older and larger trees during the 1959–
1984 (Table 2), and hence, the relative size differences
due to differences in age decreased rapidly during that
period. During the 1984–1994 period, the stand became
increasingly saturated: average radial increments declined and tree size variability decreased to remain almost
constant (‘period of weak, symmetric competition’).
Table 1 Tree species composition, total number of stems >1.3 m
tall per 0.12 ha (number of individuals that grow in polycormons
are given in bracket), their basal area recalculated per ha, mean and
maximum breast height diameter (DBH), stem height, and relative
crown length (RCL, crown:height ratio) and stem slenderness index
(SSI, stem height:DBH ratio)
within a circle of 3-m around Q. mongolica was
2.4 ± 1.3 individuals when all neighbors were counted
and 1.2 ± 1.3 individuals when taller neighbors were
considered. As expected, the multi-stemmed Q. mongolica had more conspecific neighbors (2.9 ± 1.3) than
single trees (1.8 ± 1.2) to a distance of 3 m. Mean
number of heterospecific neighbors (±SD) within a
circle of 3 m around Q. mongolica was 5.6 ± 3.9 individuals when all neighbors were considered and
0.2 ± 0.5 individuals when only taller neighbors were
counted.
Size-dependent growth responses
Live trees
Acer mono
Acer pseudo-sieboldianum
Corylus sieboldiana
Fraxinus rhynchophylla
Lindera obtusiloba
Maackia amurensis
Morus bombycis
Quercus mongolica
Symplocos chinensis
Tilia amurensis
Tripterygium regelii
Ulmus davidiana
Weigela florida
Dead trees
Basal area
2
DBH (cm)
Height (m)
Count
%
Count
(m )
%
Mean
Max
Mean
Max
10
63
5
10
46
12
11
119
10
36
1
3
4
3.0
19.1
1.5
3.0
13.9
3.6
3.3
36.1
3.0
10.9
0.3
0.9
1.2
0
0
0
0
0
4 (2)
0
55 (20)
0
2 (1)
0
1
0
1.38
1.89
0.02
3.73
0.41
1.05
0.20
102.16
0.15
4.50
0.03
0.20
0.01
1.2
1.6
0.0
3.2
0.4
0.9
0.2
88.3
0.1
3.9
0.0
0.2
0.0
7.1
3.1
1.4
11.9
2.0
4.5
2.9
19.5
2.4
6.9
4.2
5.3
1.1
12.1
8.1
2.2
25.1
3.5
20.7
5.2
49.6
6.0
18.1
8.9
3.5
1.9
10.5
2.2
4.1
3.3
16.1
2.4
6.7
18
9.2
1.9
17
8.5
2.7
18
4
10
5
23
3
15
(7)
(62)
(3)
(8)
(41)
(6)
(2)
(61)
(3)
(10)
(2)
(3)
8.9
1.4
18.5
2.2
RCL
SSI
0.49
0.39
0.19
0.44
0.31
0.24
0.39
0.54
0.26
0.46
1
0.42
0.43
1.33
1.11
1.42
1.02
1.12
1.17
1.24
0.91
1.18
0.97
4.28
1.57
1.77
Table 2 Changes in intercept and slope parameter estimates obtained from regressions of log AGR (radial growth increments) on log size
(stem diameter) and tree age of Quercus mongolica trees with explained variance and significance levels, and size inequality of stem
diameters (measured as coefficient of variation, CVd)
Period
Intercept
Log size
Age
r2adj
CVd
CVAGR
AGR (mm)
Size*origin
1959–1964
1964–1969
1969–1974
1974–1979
1979–1984
1984–1989
1989–1994
1994–1999
1999–2004
3.09
1.86
1.41
1.34
1.17
0.05
0.40
1.92
3.48
0.07*
0.50***
0.59***
0.59***
0.59***
0.82***
0.87**
1.21***
1.58***
–0.007 ns
0.012**
0.017**
0.011***
0.009***
0.006ns
0.004ns
0.004ns
0.006ns
0.14
0.40
0.33
0.31
0.21
0.24
0.16
0.27
0.31
0.91
0.71
0.53
0.43
0.38
0.36
0.35
0.35
0.36
0.31/0.60
0.34/0.38
0.32/0.39
0.26/0.31
0.29/0.34
0.39/0.42
0.45/0.58
0.51/0.64
0.56/0.76
18.9/15.3*
27.3/22.2a
27.5/21.4*
33.5/24.5***
27.0/21.8*
20.3/16.7a
15.6/13.1ns
12.6/10.1ns
11.5/10.0ns
0.02/0.19 ns
0.32/0.14***
0.12/0.14ns
0.13/0.15ns
0.21/0.21ns
0.39/0.86***
0.42/1.25***
0.85/1.39***
1.11/1.89***
Shown is also spatial variability in radial increments (CVAGR) for single-stemmed and multi-stemmed trees (seed- vs. sprout-origin), their
average absolute growth increments (AGR), and slope parameter estimates obtained from separate log AGR-log size regressions (size ·
origin). ANCOVA was used to test for significant size · origin interactions
NS non-significant, aP < 0.1, *P < 0.05, **P < 0.01, ***P < 0.001
286
60
30
AGR stem 1999-2004 (mm)
AGR stem 1974-1979 (mm)
Fig. 3 Least-squares
regressions of Q. mongolica
stem diameter increment during
a 5-year growth period on stem
size at the beginning of this
period (see Table 2) for the
single- (shaded circles, thin lines)
and multi-stemmed (filled
circles, thick line) trees
50
40
30
20
10
0
50
100
150
200
25
20
15
10
5
0
250
0
Stem diameter in 1974 (mm)
Individual growth curves
Tree growth generally showed a sigmoidal pattern, with
early exponential phase followed by levelling off later in
ontogeny. The growth curves of all single stems
Q. mongolica trees were better fitted by the Richards
model (r2 > 0.99) than the linear model (Fig. 5). The
Richards model, which includes the additional shape
parameter (d), gave equal or better fit than the single
logistic or Gompertz model. Among the multi-stemmed
trees, 67% of individuals had cumulative growth curves
better fitted by the Richards model, while the remaining
individuals were still growing actively in stem diameter,
200
300
400
8
Single-stemmed trees
Multi-stemmed trees
7
Anual tree-ring width (mm)
Only during the last decade of stand development, larger
trees grow disproportionately more than smaller trees
(the slope of >1 in Eq. 1), increasing stem size
inequality (Table 2).
Tests comparing the single- and multi-stemmed trees
in terms of absolute growth rate indicate many significant patterns. First, single stems had higher mean radial
increments than multi-stemmed trees, significantly in
four out of nine 5-year periods analyzed within the first
three decades (Table 2; Fig. 4). Second, tests including
stem origin into size-growth regression model show that
the slope for log AGR-log size relationship was steeper
in single-stemmed than multi-stemmed trees during the
1964–1969 (significant size · origin interaction, Table 2),
while the reverse pattern was found significant during
the 1984–2004. The steeper slope in single stems during
the 1964–1969 resulted from higher relative increments
of a few older reserved trees compared to post-logging
recruits. In multi-stemmed trees the slopes of >1 during
the 1984–2004 period indicate asymmetric competition,
i.e., larger stems within clones grow disproportionately
more than smaller siblings. The differences between
single- and multi-stemmed trees in the slope parameter
estimates during the 1994–2004 period were no longer
significant when only the post-logging trees of similar
age were compared (in single stems, excluding older reserved trees led to the slope >1 during the 1994–2004
period).
100
Stem diameter in 1999 (mm)
6
5
4
3
2
1
0
1950
1956
1962
1968
1974
1980
1986
1992
1998
2004
Year
Fig. 4 Mean curves of individual ring width series for single- and
multi-stemmed Q. mongolica trees
and were better fitted with the linear than the Richards
model. These actively growing trees with no sign of
growth decline (no apparent asymptote) were dominant
taller trees within clones (Fig. 5), while the asymptotically growing siblings were about 3 m shorter with a half
stem volume, but of similar age as dominant stems
within polycormons (Table 3). Based on the estimated
parameters in the Richards model, inferior and dominant individuals could also be distinguished among
single trees. The dominant individuals (>50 years old)
were all the reserved trees, about 15–20 years older than
the post-logging recruits (Fig. 5). The dominant individuals had larger size at which radial growth began to
deviate from exponential, and hence larger the maximum size (asymptotic diameter) that could be achieved
(Fig. 6). The inferior trees (<50 years old) were significantly younger, but not necessarily shorter (non-significant differences in stem heights; ANOVA, P > 0.05)
than dominant trees; the inferior trees had significantly
slenderer stem, and thus smaller stem volume.
The comparison of asymptotically growing singleand multi-stemmed post-logging trees showed significant
differences in all estimated parameters of the Richards
model (ANOVA, P < 0.05), albeit there were non-
287
400
400
A
350
B
350
300
stem diameter [mm]
stem diameter [mm]
Fig. 5 Cumulative stemdiameter growth curves and age
structure of stems taller than
1.3 m for single- (a) and
multi-stemmed (b) Q. mongolica
250
200
150
100
300
250
200
150
100
50
50
0
1935
1958
1981
0
1935
2004
1958
Year
Table 3 Mean values of parameter estimates (A: asymptotic
diameter, mm; K, growth coefficient, year1; d, the shape parameter; y: the age of growth inflection) in the individual-based Richards growth model (Eq. 3), and mean age (years), stem height (m),
1981
2004
Year
crown length (CL in m), relative crown length (RCL), index of stem
slenderness (SSI), stem volume (StVol, m3) for different groups of
Q. mongoliga trees
Tree status
A
K
d
y
Age Height CL
RCL SSI
StVol D_H.t. D_Q.m. V_H.t.
V_Q.m.
Single-stemmed
Multi-stemmed
Single-stemmed (>50 years)
Single-stemmed (<50 years)
Multi-stemmed (<50 years)
Multi-stemmed (linear)
224.9
149.1
323.7
195.1
146.3
0.11
0.13
0.09
0.12
0.13
1.57
1.88
0.76
1.82
1.94
22.3
16.5
37.4
17.6
15.6
48.5
45
65.1
43.1
43.8
46.8
0.65
0.51
0.68
0.62
0.47
0.61
0.85
0.42
1.56
0.56
0.27
0.59
0.4/0.6
0.2/0.7
0.5/0.8
0.4/0.5
0.2/0.8
0.5/0.5
17.6
14.6
18.6
17.3
14.3
17.7
11.4
7.8
12.9
10.8
7.4
10.4
0.86
0.94
0.65
0.93
0.98
0.93
4.6/0.1
5.1/0.4
5.2/0
4./0.1
5.5/0.4
8.8/0
1/0.6
1.5/1.7
0.8/0.4
1.1/0.8
1.5/1.9
2.3/0.7
0.07/0.08
0.08/0.1
0.01/0
0.1/0.1
0.09/0.1
0.04/0
Shown is also average number (D) and sum of stem volume (V in m3) of heterospecific (H.t.) and conspecific (Q.m.) smaller/larger
neighbors at distances of 3 m from target oak trees
480
Asymptotic diameter (mm)
480
Asymptotic diameter (mm)
Fig. 6 Relationships between
parameter estimates of
Richards growth model for the
asymptotically growing single(shaded circles, thin lines) and
multi-stemmed trees (filled
circles, thick line) of
Q. mongolica
400
320
240
160
80
0
0
10
20
30
40
50
400
320
240
160
80
0
0
Age of growth inflection (yr)
significant age differences. The single-stemmed trees
were able to grow longer exponentially and to attain
larger stem diameter, were significantly taller with a
greater stem volume and longer crowns, and experienced
less crowding. Hence, it was mainly competition among
neighbors that caused individual growth decline before
any age-related decrease. Tests comparing the distributions of growth and size parameters suggest that the
dominant status in Q. mongolica individuals decreases in
the sequence: single-stemmed >50 years old, multistemmed <50 years old with no sign of growth decline,
single-stemmed <50 years old asymptotically growing
multi-stemmed trees <50 years old. Multiple compari-
1
2
3
Max. RGR
sons revealed non-significant differences between the
second and third group in all size parameters estimated (ANOVA followed by Tukey HSD post-hoc test,
P > 0.05).
Neighbor effects on tree growth
The diameter increment (log AGR) of Q. mongolica from
the 1999 to 2004 period was positively correlated with log
stem diameter in 1999, uncorrelated with tree age in 1999,
and negatively correlated with competition indices
(Tables 2, 4). In the multiple regression model, stem size
288
Table 4 The beta coefficients from univariate regressions of Q. mongolica tree variables (log AGR1999–2004, n = 63; RCL and SSI, n =
119) on various indices of local crowding intensity, based on density, basal areas and stem volumes of neighboring trees, weighted (w) or
not (un) by their distances from the target tree
Target
Neighbor
DCA
Competition indices based on
Density
Q.m. AGR
Q.m. live
H.t. live
A.t. live
Q.m. RCL
Q.m. live
A.t. live
Q.m. SSL
Q.m. live
A.t. live
0
1
0
1
0
1
0
1
0
1
0
1
0
1
Basal area
Volume
w
un
w
un
w
un
–
–
–
–
–
–
0.23
0.47
0.23
0.52
0.23
0.60
0.40
0.55
0.11
0.51
0.29
0.50
0.05
0.49
0.09
0.35
0.23
0.41
0.10
0.42
0.05
0.21
0.03
0.19
0.05
0.16
0.06
0.16
0.01
0.35
0.28
0.40
0.15
0.47
0.31
0.45
0.23
0.40
0.18
0.43
0.11
0.42
0.03
0.41
0.33
0.53
0.08
0.50
0.14
0.37
0.03
0.34
0.17
0.37
0.10
0.36
0.06
0.39
0.37
0.52
0.13
0.51
0.31
0.45
0.23
0.40
0.28
0.51
0.25
0.50
DCA degree of competitive asymmetry (0 all individuals used to define a local neighborhood, 1 only larger individuals considered as
neighbors). Significant results (P < 0.05) are in bold. Abbreviations as in Table 3
Q.m. Quercus mongolicam, A.t. all trees, H.t. heterospecific trees
and competition together accounted for 37% of the variation in radial growth rate from 1999 to 2004. The log
AGR was further positively and significantly correlated
with final tree height (r = 0.40), stem volume (r = 0.36),
crown length (r = 0.39) and negatively correlated with
stem slenderness (r = –0.34). As expected, the asymptotically growing trees had significantly smaller diameter
increments from the 1999 to 2004 than trees whose growth
curves were better fitted with the linear model. Finally,
tree age of Q. mongolica in 2004 was positively correlated
with stem volume (r = 0.64, P < 0.05). Relative crown
height (crown length:tree height ratio) and stem slenderness (tree height:stem diameter ratio) of Q. mongolica
were significantly correlated with our measures of local
crowding when included larger than target trees as
neighbors, i.e., trees grew taller than wider and had
smaller crowns when surrounded by taller neighbors. The
competition indices that were significantly negatively
correlated with the diameter increments from the 1999 to
2004 incorporated both intra- and interspecific effects and
the asymmetry value of 1, i.e., when the effects of smaller
neighbors on target tree growth were excluded (Table 4).
Significant r2 of regressions discounting the effects of
smaller neighbor suggests that asymmetric competition
was occurring among Q. mongolica stems from the 1999 to
2004. Explained variance (adjusted r2) from the univariate
regressions of RGR of Q. mongolica from the 1999 to 2004
on various competition indices ranged from 3.7 to 14.3%,
and it increased when (1) larger individuals were used to
define a local neighborhood, (2) competition indices were
calculated from stem volumes than basal areas, (3)
neighboring trees were not weighted by their distances to a
target tree, and (4) when heterospecific individuals were
included. However, the competition index that accounted
for most of the variation was based solely on density of all
neighboring individuals larger than target trees (adjusted
r2 = 0.143, P = 0.01).
Discussion
Successional stages similar to our stand were observed at
other sites in South Korea, where Q. mongolica is
consistently the early dominant of post-logging areas,
followed by the reinvasion of more shade-tolerant Tilia
amurensis, Acer mono, and Acer pseudosieboldianum,
which prevail in the sapling and lower tree stratum.
Some previous studies have reported this replacement
sequence from intolerant light-demanding woody species
to mid-tolerant to tolerant species (Suh and Lee 1998),
while other studies have shown that the secondary succession is the result of patterns of differential growth,
not relay floristics (Osawa 1992). According to Osawa
(1992), all the trees in post-disturbance stand in Hokkaido, northern Japan, were of similar ages, and therefore have separated themselves via differential growth,
not by seeding in at different times. Q. mongolica does
not have necessarily greater shade-tolerance and longer
life-span than other woody species, but grows faster and
taller, gradually overtopping other species and creating
stratified mixed-species stands.
The lack of trees <8 m tall indicates that Q. mongolica is not continuing to establish in our stand, and
hence its density was determined by the relative success
of seedling establishment and stump sprouting during
the early stage of stand development. Q. mongolica had
53% stems of sprout-origin, while other hardwoods had
70–90% resprouts (Table 1). It seems that the closed
understory vegetation and compact litter layer at our
site (Fig. 1) may have discouraged establishment from
289
seeds. As sprouting hardwoods utilize resources of stem
remnants they originated from (Bellingham and Sparrow 2000), they become more resistant to adverse effects
of competition from understory vegetation and shading
from canopy trees (Kammesheidt 1998). Since the
sprouts begin growth immediately after disturbance and
their pre-established food resources and root systems
allow growth to be concentrated in the stem (Oliver and
Larson 1990), we expected multi-stemmed resprouts to
grow more rapidly than single trees. However, the
opposite was true because single stems displayed higher
radial increments than resprouts at early stages of stand
development (Table 2; Fig. 4). The number of sprouts
and the size of the mother tree may have influenced the
growth rate of individual sprouts. Intense coppicing
could create dense clones where intense competition
among ramets reduced individual growth (Cao and
Peters 1998). Another possible explanation for slower
growth is rot that may enter the sprout through the
heartwood of the parent stump, especially in oaks (Roth
and Hepting 1943), restricting radial growth.
During the first three decades of stand development
Q. mongolica recruits were growing exponentially, and
disproportionately more in diameter than older reserved
trees left after the last cutting. This substantially
decreased size inequality that arose due to age differences. The decreasing size variability means that older
and taller individuals had no initial advantage in competition and that negative interference, if there was any,
was symmetric or its effect was greater on older than
younger trees (Stoll et al. 1994). A tendency to converge
to a population of similar-sized individuals is usually
ascribed to the lower density of natural establishment
leaving much space for individual growth (Stoll et al.
1994), greater relative importance of below-ground
competition at nutrient-poor sites (Dolezal et al. 2004),
physiological integration in clonal woody plants
(Peterson and Jones 1997), or to preference for heightgrowth that is common for shade-intolerant pioneer
species. The observed inequality decrease in our stand
was likely because sprouting, which in most woody
species prevailed over seed regeneration, was not abundant enough to result in dense populations. Lower stem
density left much space for individual growth and led to
weak competition. Only during the last decade of stand
development did size variability increase as larger trees
grew more than smaller trees, indicating an increasing
asymmetry of competition for light (Weiner 1995). With
increasing canopy closure, the taller individuals probably started to disproportionately preempt the incoming
solar radiation, thereby suppressing the growth of
smaller trees (Hara 1988; Weiner 1990).
The influences of asymmetric competition on growth
and stem allocation patterns in Q. mongolica at the later
stages of stand development were further demonstrated
by neighborhood analysis. We found negative effects of
neighbors on absolute stem diameter increment from the
1999 to 2004. The neighborhood model fitted best when
the effect of smaller neighbors on target stem growth was
removed and when the neighboring heterospecific trees
of larger sizes were included (see improved regressions
incorporating the effects of a taller Fraxinus rhynchophylla, Acer mono, and Tilia amurensis), supporting the
assumption of nonequivalent neighbor effects (Zhao
et al. 2006). This is rather surprising because most heterospecific neighbors were of smaller sizes. Hence,
although Q. mongolica dominated the post-logging forest
with almost 90% of total stand basal area, its growth and
population size was negatively influenced by other
woody species progressively reinvading the stand.
The observed growth patterns and analysis of
neighbor effects in Q. mongolica support the existing
generalization that the mode of plant interactions
change during stand development, from early stages of
weak competition presumably for soil resources to later
stages of asymmetric competition for light (Dolezal et al.
2004). Competition led both to growth suppression and
stem exclusion. After the 50 years of stand development,
more than 70% of Q. mongolica trees showed growth
decline as a result of competitive stress and mortality
was about 30%, concentrated in smaller size classes.
Thinning occurred in both single- and multi-stemmed
trees, suggesting that vegetative origin does not necessarily result in higher survivorship. Thinning is common
among clonal trees and shrubs, compared to their herbaceous counterparts, which are of smaller sizes and
usually hold ramet density below levels at which interramet interference occurs (Suzuki and Hutchings 1997).
Larger sizes of clonal woody species lead to greater size
differences and shading among ramets which stimulate
intra-clone competition, leading to severe suppression of
some ramets by their siblings and greater incidence of
thinning (Peterson and Jones 1997).
In conclusion, this study combines several recent
innovations in the modeling of stand development and
plant interactions (Damgaard et al. 2002). The estimations of individual growth parameters with the Richards
equation appear to be useful tool in analyzing and
interpreting plant interactions when combined with the
individual-based spatially explicit neighborhood analysis
(Zhao et al. 2006). Our data show that when target trees
had more or larger neighbors, their exponential phase
of growth was reduced and the maximum size was
decreased. In particular, the multi-stemmed Quercus
mongolica trees competed asymmetrically, which led to
enhanced size differences among resprouts within clones.
While the dominant trees within clone were still growing
actively in stem diameter, and thus had no apparent
asymptote, the suppressed siblings were no longer able
to grow exponentially and to achieve stem sizes comparable with single trees of similar age. Hence, our
results do not support the hypothesis that resprouts
compete less asymmetrically and grow faster due to
physical and physiological integration than single trees.
We predict that if trees continue to compete asymmetrically the stand will become more uneven-sized over
time, and more open as a result of self-thinning, and will
become increasingly dominated by woody species like
290
Tilia amurensis, Acer pseudo-sieboldianum, A. mono, and
Fraxinus rhynchophylla since they currently occur at
higher density in the sapling and shrub stratum. In
contrast, Q. mongolica, which are infrequent in the lower
tree strata, will decline over time, probably requiring
more intense stand disturbance to successfully regenerate.
Acknowledgments This study was supported by the Czech Science
Foundation (GAČR 206/05/0119), and the Korea Research
Foundation Grant (MOEHRD, Basic Research Promotion Fund,
KRF-2006-312-C00419).
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