Species Identity of Large Trees Affects the Composition and the Spatial Structure of Adjacent Trees

: Large trees are keystone structures for the functioning and maintenance of the biological diversity of wooded landscapes. Thus, we need a better understanding of large-tree–other-tree interactions and their effects on the diversity and spatial structure of the surrounding trees. We studied these interactions in the core of the Białowie˙za Primeval Forest—Europe’s best-preserved temperate forest ecosystem, characterized by high abundance of ancient trees. We measured diameter and bark thickness of the monumental trees of Acer platanoides L., Carpinus betulus L., Picea abies L. H. Karst, Quercus robur L., and Tilia cordata Mill., as well as the diameter and distance to the monumental tree of ﬁve nearest neighbor trees. The effects of the monumental tree on arrangements of the surrounding trees were studied with the help of linear models. We revealed that the species identity of a large tree had, in the case of C. betulus and T. cordata , a signiﬁcant impact on the diversity of adjacent tree groupings, their distance to the central tree, and frequency of the neighboring trees. The distance between the neighbor and the large trees increased with the increasing diameter of the central tree. Our ﬁndings reinforce the call for the protection of large old trees, regardless of their species and where they grow from the geographical or ecosystem point of view.


Introduction
Large old trees, depending on ecological context and geographical region, also referred to as giant, monumental, ancient, notable, oversized, or veteran trees, are keystone structures for the functioning and maintenance of the biological diversity of forests, woods, woodlands, and other landscapes, even those sparsely covered by trees, as well as urbanized [1][2][3][4][5].However, their importance goes far beyond their ecological role.In many cultures around the world, they used to have great cultural and religious relevance [6,7], and in modern societies, with declining numbers of large trees, they are becoming even more important for cultural and social reasons, as there is growing focus of humanities and the arts [8].Despite worldwide recognition, populations of large old trees are rapidly declining [9,10].They are under threat due to both natural mortality increased by global change [10][11][12] and by direct human impact, mostly felling, which leads to problems with the spatiotemporal continuity of their populations at the landscape level [9,13,14] and jeopardizes ecosystems' integrity, functioning and biodiversity [10], including loss of tree species genetic variability [15][16][17].
Most of the ecological functions of large old trees cannot be replaced by young trees or any other structures.That is exactly what makes them a "keystone structure" of forest ecosystems; their role is irreplaceable and, taking into account their share in the total number of trees, they are disproportionately important providers of ecological functions, services, and resources that are essential for other organisms [18].Monumental trees, due to the high number of diverse microhabitats associated with their bark, limbs, dead and dying fragments, cavities, fungal sporocarps, etc., are hotspots of biodiversity of many groups of organisms [19][20][21].They are crucial habitats for saproxylic insects and many other tree-and wood-related species [22][23][24], which are believed to enhance forest resistance to invertebrate pests [25,26].Such trees also serve as specific sites for the development of epiphytic plants, lichens [27][28][29], and fungi [30].Besides being biodiversity hotspots, large trees play an important role in carbon storage [31][32][33].They are an important element of the carbon cycle in forests worldwide, especially taking into account that the rate of carbon accumulation increases with the size of the tree [34,35] (but see [36]) and that it stays captured in their trunks for centuries.The effect of large trees on forest ecosystems' aboveground biomass is so large that the effect of species diversity and characteristics of the remaining trees may become negligible [33,37].Therefore, it is essential to understand the role of large trees if we aim to understand the complete picture of the mechanisms shaping forest communities.
The functioning of plant communities is largely determined by community species diversity and the spatial distribution of individuals and species [38].In forest ecosystems, large old trees occupy the same space for centuries, modifying the local environment through litter and exudates.They influence the surrounding stand structure through interactions with neighboring trees and the production of offspring in the closest vicinity.Large trees, with deep bark microrelief, may also enhance chances for the development of other tree species in their closest neighborhood due to being used by birds, mainly woodpeckers and nuthatches in the temperate zone, as places to store seeds or anvils to extract seeds from cones and shells [39,40].If not all seeds are eaten, or some of them are dropped by birds, they may germinate and start the development of young trees in the immediate vicinity of the base of large trees.In effect, the spatial arrangement of tree groupings reflects the effects of complex past interactions among trees, and between trees, other organisms, and the environment, whose traces can be read by analyzing the current spatial distribution of individuals [41].Trees affect the environment around them through shading, seed deposition, litter accumulation, and competitive and allelopathic interactions.The tannins in leaves and bark can affect the cycling of elements by decreasing the rate of decomposition, protein complexation, enzyme inhibition, and changes in the biodiversity of microbiota [42].Old trees influence the microenvironment around them for hundreds of years, so they affect generations of trees of their own as well as other species.It was reported that leachate from leaves of Fagus grandifolia Ehrh.has a toxic effect on seedlings of sugar maple Acer saccharum Marsh.[43].Pigott [44] revealed that lower numbers of seedlings of Tilia cordata Mill., Ulmus glabra Huds., and Acer platanoides L. develop under the crowns of conspecific trees, while T. cordata regeneration is most abundant under the canopy of the Carpinus betulus L. Uneven distribution of A. platanoides, U. glabra, and C. betulus seedlings under the crowns of trees of other species was also reported by Fali ński [45] from natural stands of Białowie ża Primeval Forest.Results from tropical and temperate forest ecosystems suggest that soil from the microenvironment of adult trees negatively affects conspecific seedlings compared to soil taken from under a heterospecific tree due to chemical rather than biotic processes [46][47][48].The mechanism of density-and distance-dependent mortality (conspecific negative density dependence), having its origin in the Janzen-Connell theory [49,50], is reported from plant communities worldwide, but with varying strength of its effect [51,52].
Studies on the influence of large old trees on stand structure are very scarce, probably due to the scarcity of monumental trees in forest ecosystems nowadays.Wang et al. [53] measured trees in deciduous natural forests of Korea and reported that large trees are surrounded by more species-diverse neighboring trees (higher mingling of stand) than smaller trees.This was also confirmed by species diversity analysis of low-density tree groupings around large trees in Europe, Africa, and North America, which revealed a similar trend in 75% of the studied stands [54].Large trees have a distinct effect on individuals of both their own and other species; however, a better understanding of treetree interactions, including monumental trees and how they affect key ecosystem functions, is needed [55].Therefore, in this research, we studied these interactions by analyzing the Forests 2021, 12, 1162 3 of 15 species composition and spatial distribution of the five nearest neighboring trees (NT) around a large old central tree (CT) of four deciduous (Quercus robur L., C. betulus, T. cordata, and A. platanoides) and one coniferous (Picea abies (L.) H.Karst) species in the best preserved temperate mixed deciduous forest of the European continent [56,57].We aimed to test the following hypotheses: (1) the diversity of NTs (measured by the value of the spatial species mingling index) will depend on the species identity of large trees due to their different influence on the environment, and will increase with their size (measured by trunk diameter) due to the long-term accumulation of species-specific effects; (2) due to competition for light, distance of the NT from the CT will (2a) increase with the increasing the CT species shade-casting ability, (2b) increase with the CT size; and (3) due to the higher rate of competition between the conspecific individuals, the NT species will be less likely to be the same as the CT species.

Study Site
The study site was located in the core area of the Białowie ża National Park (BNP; 52.7 • N, 23.8 • E), which is part of the Białowie ża Forest (BF), stretching over the border between Poland and Belarus (Figure 1).This is one of the last remnants of well-preserved European natural lowland forest ecosystems [56,57].The forest lies in the realm of a warm summer humid continental climate [58], with mean annual precipitation of 627.5 mm and a mean annual temperature of 6.8  [56,57].We aimed to test the following hypotheses: (1) the diversity of NTs (measured by the value of the spatial species mingling index) will depend on the species identity of large trees due to their different influence on the environment, and will increase with their size (measured by trunk diameter) due to the long-term accumulation of species-specific effects; (2) due to competition for light, distance of the NT from the CT will (2a) increase with the increasing the CT species shade-casting ability, (2b) increase with the CT size; and (3) due to the higher rate of competition between the conspecific individuals, the NT species will be less likely to be the same as the CT species.

Study Site
The study site was located in the core area of the Białowieża National Park (BNP; 52.7° N, 23.8° E), which is part of the Białowieża Forest (BF), stretching over the border between Poland and Belarus (Figure 1).This is one of the last remnants of well-preserved European natural lowland forest ecosystems [56,57].The forest lies in the realm of a warm summer humid continental climate [58], with mean annual precipitation of 627.5 mm and a mean annual temperature of 6.8 °C [59].(1638), and T. cordata (1074).Based on that survey, a large tree in our study was defined by the species-specific threshold diameter of the trunk at breast height, i.e., 1.3 m above the ground (DBH), set by Grzywacz et al. [61].The highest densities of the monumental trees were recorded in mixed oak-lime-hornbeam deciduous forest of the Tilio-Carpinetum type [61].Natural oak-lime-hornbeam forests develop on fertile brown and podzolic soils with moderate humidity and pH.In effect, stands are diverse, composed of locally dominating C. betulus, T. cordata, Q. robur, A. platanoides, with an admixture of P. abies, Fraxinus excelsior L., U. glabra, Betula pendula Roth, Populus tremula L. and Alnus glutinosa (L.) Gaertn.The structure of such forests is shaped by the fine-scale gap mosaic cycle dynamic [62], resulting in multi-layered and uneven age stands, maintained in time and space owing to continuous replacement of old trees by regeneration [45].

Field Measurements
In June and October 2019, we measured tree groups clustered around monumental central trees (CT) in compartments 314BD and 315AC of the BNP (Figure 1) (106.36 ha of forest in total, with over 50% covered by mixed deciduous forests).These compartments were selected based on the database of monumental trees shared by BNP.They were characterized by a high density of monumental trees growing in a Tilio-Carpinetum forest habitat.Large trees of the five most numerous monumental tree species were searched for in the stands by systematically walking across patches of mixed deciduous forests.This survey returned 144 monumental trees: 55 large trees of Quercus robur, 22 of Tilia cordata, 21 of Acer platanoides, 20 of Picea abies, and 26 of Carpinus betulus (Figure A1, Table A1), which were selected on the basis of the species-specific DBH thresholds set by Grzywacz et al. [61], i.e., Q. robur (120 cm), T. cordata (100 cm), P. abies (100 cm), A. platanoides (70 cm), and C. betulus (60 cm).Measurements were carried in tree clusters composed of a monumental CT and its five nearest neighbors, with DBH > 7 cm, which resulted in 719 observations in total.Only five nearest neighbors were taken into account to minimize the risk of the bias caused by other monumental and 'submonumental' trees present in the adjacent stand.We measured the DBH of all trees, the depth of the bark microrelief of the CT (on four sides of the trunk), and the distance of the five nearest NT from the CT.
On the basis of species identity of CTs and NTs, we calculated the spatial species mingling index M i [63] to analyze how species are spatially mixed around the CT.The M i in our study was defined as the proportion of the five nearest NTs that belong to a different species to the species of the CT: where j is the j th nearest neighbor of tree i.The value of m ij is equal to 1 if the NT was of a different species or 0 if it was of the same species as the CT; k is the number of neighbours considered (in our study k = 5).This index value ranges from 1, when all NTs are of different species to the CT and 0 if all NTs are conspecific to the CT [63].

Statistical Analyses
Statistical analysis was carried out in R software version 4.0.2[64] using the R Studio version 1.3.1073environment [65].We used linear models to assess the effects of CT species identity, diameter, and depth of the bark microrelief on the mingling species index of tree groupings, the distance of the NT from the CT, and the diameter of the NT.In all models, the species of the CT was inserted as a factor.The best fitting models were selected with the help of the MuMIn package [66], with the use of Akaike's information criterion (AIC) [67].The best model (with the lowest AIC) explaining mingling index included CT species and CT DBH.The best model explaining distance of the NT from the CT included the following explanatory variables: CT species, NT species, NT DBH, and depth of bark microrelief of the CT.We used the Kruskal-Wallis test and the Dunn test (FSA package [68]) as a post-hoc tests to check for significance of differences between the CT species' influence on the mingling index and the distance to the nearest neighbors.The Dunn test was used because it is appropriate for groups with unequal numbers of observations and categorical variables [69].The Significance of differences in the Shannon-Wiener index value of the tree clusters around different CT species was analyzed with the help of one-way ANOVA.The influence of CT species' identity on the frequency of NT species was assessed with the help of one-way ANOVA, followed by the HSD Tukey pairwise post-hoc test.In the analyses taking into account NT species' identity, only three dominating NT species were considered: Carpinus betulus, Tilia cordata, and Picea abies, because five other NT species were recorded only five or fewer than five times out of the total 719 observations.During the analysis, we used R packages: vegan [70] for calculation of the Shannon-Wiener diversity index, effects [71] for visualization of models' results, rcompanion [72] for finding significant results among post-hoc test results, and ggplot2 [73] for data mining and checking, and for visualization of the results.

Results
During the study, we observed seven species of neighboring trees (Acer platanoides, Alnus glutinosa, C. betulus, P. abies, Q. robur, T. cordata, and U. glabra) and one bush species (Corylus avellana L.), which was also included to the list of neighboring 'trees' because some stems of this bush species exceeded the DBH threshold set for the neighboring trees measurement in this study.However, the three dominant NT species, i.e., C. betulus, T. cordata and P. abies, accounted for 97.9% of observations (47.7%, 40.5%, and 9.7%, respectively), which resulted in low mean species richness of all clusters (2.1 ± 0.69 (SD) species) and high similarity of mean values of the Shannon-Wiener index between the clusters around all CT species (ANOVA: df = 4, F = 1.399, p = 0.237).
The value of the spatial species mingling index of tree clusters depended on the CT species identity only in case of the C. betulus and T. cordata, which were characterized by the lowest values of the index (Figure 2, Tables 1 and 2).
species and CT DBH.The best model explaining distance of the NT from the CT included the following explanatory variables: CT species, NT species, NT DBH, and depth of bark microrelief of the CT.We used the Kruskal-Wallis test and the Dunn test (FSA package [68]) as a post-hoc tests to check for significance of differences between the CT species' influence on the mingling index and the distance to the nearest neighbors.The Dunn test was used because it is appropriate for groups with unequal numbers of observations and categorical variables [69].The Significance of differences in the Shannon-Wiener index value of the tree clusters around different CT species was analyzed with the help of oneway ANOVA.The influence of CT species' identity on the frequency of NT species was assessed with the help of one-way ANOVA, followed by the HSD Tukey pairwise posthoc test.In the analyses taking into account NT species' identity, only three dominating NT species were considered: Carpinus betulus, Tilia cordata, and Picea abies, because five other NT species were recorded only five or fewer than five times out of the total 719 observations.During the analysis, we used R packages: vegan [70] for calculation of the Shannon-Wiener diversity index, effects [71] for visualization of models' results, rcompanion [72] for finding significant results among post-hoc test results, and ggplot2 [73] for data mining and checking, and for visualization of the results.

Results
During the study, we observed seven species of neighboring trees (Acer platanoides, Alnus glutinosa, C. betulus, P. abies, Q. robur, T. cordata, and U. glabra) and one bush species (Corylus avellana L.), which was also included to the list of neighboring 'trees' because some stems of this bush species exceeded the DBH threshold set for the neighboring trees measurement in this study.However, the three dominant NT species, i.e., C. betulus, T. cordata and P. abies, accounted for 97.9% of observations (47.7%, 40.5%, and 9.7%, respectively), which resulted in low mean species richness of all clusters (2.1 ± 0.69 (SD) species) and high similarity of mean values of the Shannon-Wiener index between the clusters around all CT species (ANOVA: df = 4, F = 1.399, p = 0.237).
The value of the spatial species mingling index of tree clusters depended on the CT species identity only in case of the C. betulus and T. cordata, which were characterized by the lowest values of the index (Figure 2, Tables 1 and 2).In the case of C. betulus, the influence of CT species identity on the mingling index interacted with its diameter (Table 1).Dominance of conspecific NT increased (i.e., mingling decreased) with the increasing DBH of C. betulus CT.Carpinus betulus, and T. cordata NTs' frequency in clusters depended on CT species identity (ANOVA: df = 4, F = 7.383, p = 2.02 × 10 −5 and df = 4, F = 6.51, p = 7.85 × 10 −5 , respectively).Carpinus betulus frequency was lowest in the neighborhood of the conspecific CTs and highest in the neighborhood of Q. robur and A. platanoides CTs, while T. cordata frequency was highest in the neighborhood of the C. betulus CT.Picea abies frequency was not influenced by the CT species identity (one-way ANOVA, df = 4, F = 1.219, p = 0.306) (Figure 3, Table 3).4a, Table 4).The mean distance from the CT also depended on the depth of its bark microrelief: the deeper the relief, the closer the NT (Figure 4d, Table 4).The mean distance between the CT and the NT increased with the increasing diameter of the NT (Figure 4c, Table 4).Although the species identity of the NT influenced the mean distance of trees from the CT, with A. platanoides NTs growing closest to the CT and U. glabra NTs growing farthest from the CT (Figure 4b, Table 4); however, the differences between the NT species were not significant (Kruskal-Wallis chi-squared test χ 2 = 48.077,df = 7, p = 0.077).Mean distance of the five NTs from the CT was highest for clusters associated with C. betulus and lowest for those associated with T. cordata, Q. robur, and P. abies CT (Figure 4a, Table 4).The mean distance from the CT also depended on the depth of its bark microrelief: the deeper the relief, the closer the NT (Figure 4d, Table 4).The mean distance between the CT and the NT increased with the increasing diameter of the NT (Figure 4c, Table 4).Although the species identity of the NT influenced the mean distance of trees from the CT, with A. platanoides NTs growing closest to the CT and U. glabra NTs growing farthest from the CT (Figure 4b, Table 4); however, the differences between the NT species were not significant (Kruskal-Wallis chi-squared test χ 2 = 48.077,df = 7, p = 0.077).

Discussion
Our study revealed that the identity of some species of monumental trees is an important factor affecting many traits of the tree clusters in their closest neighborhood, which was not considered by previous studies.The species of the CT significantly influenced the mingling, mean distance between NTs and CTs, and the frequency of NT species; however, significant effects were revealed only for C. betulus or T. cordata CTs.A

Discussion
Our study revealed that the identity of some species of monumental trees is an important factor affecting many traits of the tree clusters in their closest neighborhood, which was not considered by previous studies.The species of the CT significantly influenced the mingling, mean distance between NTs and CTs, and the frequency of NT species; however, significant effects were revealed only for C. betulus or T. cordata CTs.A few published papers reporting the influence of large trees on forest structure concentrated mainly on the size of the trees, comparing tree groupings around large and smaller trees.They confirmed that large trees are surrounded by more species diverse tree clusters than smaller trees [53,54].In these reports, even if they considered conspecific and heterospecific arrangements, the importance of the species identity of large trees for assembling forest stands and their biodiversity was omitted [53,54,74,75].Thus, our results highlight that not only tree size (age), as reported by previous studies, but also species of large trees, at least in case of some species, shapes the structure and species composition of surrounding trees.
We found that, in the case of C. betulus and T. cordata, the mingling of trees in the closest neighborhood of large old trees strongly depended on the species identity of the CT.The lowest value of the mingling index was recorded for clusters associated with T. cordata CT, which is probably not the effect of tree-tree interactions but stems from the species ecology.Old T. cordata trees usually produce high numbers of suckers from the base of the tree or from the roots [76] at a distance of up to five meters from the mother tree trunk [77].At the north-eastern limit of T. cordata natural range this vegetative regeneration accounts for 80% to 100% of the regenerated individuals [78,79].These vegetative shoots develop later into young trees closely surrounding the mother tree [80], which explains the low mingling by dominance of the conspecific neighbors around large old T. cordata trees.During our survey, we treated all such trunks as separate neighboring individuals because, without employing molecular techniques, it was impossible to assess if they were young trees originating from a seedling which developed under the canopy of the mother tree, or originating from vegetative suckers.
Carpinus betulus was also characterized by low mingling of the adjacent trees, although not as low as reported by [81], who found 70% of C. betulus surrounded by trees of their own species.However, it should be taken into account that Szmyt [81] analyzed regular managed stands with lower naturalness and a more even age of trees.This might influence the results because the forest structure studied by this author was the effect of interactions between trees of similar size and age, and thus their relationships were more equal from the beginning.In our case, the relationship between the CT and the NT was unequal, with dominance of the large tree from the very beginning of the NT's development, which may, at least partly, explain the differences between our results.We found that C. betulus was the only CT species for which mingling depended on its DBH.The bigger the C. betulus CT, the lower the value of the mingling index, which is the opposite of results reported by most of the previous studies, where the size of trees was positively related to mingling [53,54,74,75].On the one hand, the range of the DBH of C. betulus CTs was relatively short in our study, ranging from 60 cm to 92 cm and included only large monumental trees.Thus, it does not contradict the results of previous studies because this dependence was revealed inside of the large tree population-we did not consider clusters around smaller trees, as other authors did.On the other hand, this negative interaction may be explained by the high shade tolerance of C. betulus throughout its whole life cycle, combined with its high shadecasting ability, which are both the highest among deciduous trees native to the study site [45,82].Thus, one may expect that, with the CT getting bigger, the shade under its canopy becomes deeper, and shade-tolerant C. betulus regeneration may outcompete all other species, which are more light-demanding at juvenile stages of development.
The spatial mingling index values for other studied CT species was higher than in the case of C. betulus and T. cordata, with the highest value obtained for Q. robur and A. platanoides.High diversity of trees surrounding Q. robur was reported by Szmyt [81], in whose work three or four out of the four nearest neighbors of 70% of the studied Q. robur trees were of a different species.In our study we did not reveal the species identity effect for Q. robur but close to 100% of this species' CTs were surrounded by heterospecific neighbors.Our results can be well explained by the generally low recruitment success of both Q. robur and A. platanoides in the study area [83], caused mainly by browsing pressure and the high foraging selectivity of ungulates [84,85].Large herbivore pressure keeps recruitment of these two species at a very low level [85], which makes the interspecific interactions between big and small trees negligible in explaining our results in their case.
The highest mean distance of the NTs from the CT was revealed for C. betulus.It reflects the strong shading effect of this species.The deep shade produced by its canopy impeded the development of neighbors close to its trunk.Neighbor trees around Q. robur, T. cordata, and P. abies, which are characterized by lower shade-casting ability [82], were significantly closer to CTs.In this context, the frequency of T. cordata NTs being over two times higher than C. betulus NTs around the C. betulus CTs seems to contradict the strong limiting influence of C. betulus shade casting on other species.However, T. cordata is also very shade-tolerant in younger (seedling and sapling) stages of development and becomes more light-demanding with age [76].Thus, we suppose that T. cordata saplings might develop under the C. betulus canopy due to their tolerance for shade and because they are not impacted by conspecific interactions with the CT, which makes them more successful in comparison to young C. betulus.High abundance of T. cordata regeneration under the C. betulus canopy was reported by [44], which is in line with our findings.However, it does not explain why T. cordata frequency was lower under the canopy of other CT species in comparison to C. betulus CT if they offer better light conditions.This could be the effect of abiotic factors, microbial activity, pressure of animals, negative interactions with neighbors caused by pathogens or herbivory, competition for resources, shared mycorrhizal relationships, differential responses to environmental conditions, or niche complementarity [86].Interpretation of these results is difficult without detailed species-oriented research because interspecific relationships may change with tree age, as has been demonstrated for tropical forest trees [74], and may be influenced by the phylogenetic relatedness of species [86].Carpinus betulus NTs, contrary to the deep shade tolerance of the species, were most abundant in the neighborhood of less-shadow-casting Q. robur and A. platanoides CTs.This may indicate a higher competitiveness of young C. betulus for limited resources available under the forest canopy, but it could also be an effect of negative conspecific allelopathic or soil-mediated interactions between the old C. betulus CTs and its own offspring [42,43,86], which was advantageous for T. cordata.This aspect needs deeper studies on intra-and interspecific interactions between old and young trees of each species on the background of local environmental conditions.
The mean distance between the large tree and the NT increased with the increasing DBH of CTs, which is probably an effect of wider crowns associated with thicker tree trunks [87].Wider crowns in their center cast deeper shade than smaller crowns, resulting in lower recruitment success of trees in the direct vicinity of a large tree trunk, as well as greater distance between the CT and the NT.This distance decreases with increasing depth of the bark microrelief of the CTs.However, this effect is, in our opinion, just an artefact of the coincidence between the shade-casting ability of tree species studied and the depth of their bark microrelief.The smooth-bark C. betulus is characterized by the highest shade-casting ability (according to Verheyen et al. [82]), while species with lowest shade-casting ability, Q. robur and T. cordata, are covered by bark with a deepest microrelief, with A. platanoides and P. abies in the middle.This does not mean that the depth of the bark microrelief and associated displacement of propagules in the bark crevices by animals did not play any role.The proper testing of that effect needs another design of the study, including monitoring of the use of each tree by seed vectors, the number of displaced seeds, their viability, and several other factors.

Conclusions
The previous studies undertaken to explain the spatial distribution of trees in the neighborhood of large old trees confirmed that density-dependent mechanisms are an important factor shaping the spatial structure and distribution of tree individuals in forest ecosystems.In most cases the density of trees of the same species decreased with the increasing central tree size, as larger trees are surrounded more often by species other than their own than smaller trees [53,54,75].The goal of our study was to go one step further and test whether the species identity of a monumental tree affects the spatial structure and species composition of the nearest neighboring trees.We revealed that species identity of than their own than smaller trees [53,54,75].The goal of our study was to go one step further and test whether the species identity of a monumental tree affects the spatial structure and species composition of the nearest neighboring trees.We revealed that species identity of C. betulus and T. cordata influenced surrounding stand structure and species composition.Thus, we conclude that the ecological role of large (old) trees in shaping spatial structure of surrounding tree clusters depends on their species, even some species are significant and the others are not.Further research is needed to gain a more complete picture of the importance of the species identity of large trees in plant community structure and functioning.Such research is especially important if considering tropical and subtropical forest ecosystems, where tree species diversity, and thus also the diversity of their functions, may be incomparably higher than in the temperate or boreal zones.

Figure 1 .
Figure 1.Location of the study plot on the background of the abundance of Quercus robur monumental trees (trunk diameter at 1.3 m above the ground > 120 cm) in Białowieża Primeval Forest, Northeastern Poland; abundance (number of Q. robur monumental trees/forest compartment) according to [60].

Figure 1 .
Figure 1.Location of the study plot on the background of the abundance of Quercus robur monumental trees (trunk diameter at 1.3 m above the ground > 120 cm) in Białowie ża Primeval Forest, Northeastern Poland; abundance (number of Q. robur monumental trees/forest compartment) according to [60].The core area of the BNP (4700 ha) was surveyed in the period 2002-2017 for large trees of all species.The survey returned close to 9.2 thousand large trees fulfilling the DBH criterion, with the highest numbers of C. betulus (2461), Q. robur (2137), A. platanoides

Figure 2 .
Figure 2. Mean value (and 95% confidence intervals) of the spatial species mingling index of tree clusters associated with large trees of Quercus robur, Carpinus betulus, Acer platanoides, Picea abies, and Tilia cordata in Białowieża Primeval Forest; letters a-c express significant differences in mingling index value between tree clusters.

Figure 2 .
Figure 2. Mean value (and 95% confidence intervals) of the spatial species mingling index of tree clusters associated with large trees of Quercus robur, Carpinus betulus, Acer platanoides, Picea abies, and Tilia cordata in Białowie ża Primeval Forest; letters a-c express significant differences in mingling index value between tree clusters.

Figure 3 .Table 3 .
Figure 3. Frequency of the dominating neighbour tree (NT) species: Carpinus betulus, Tilia cordata and Picea abies around large central trees of Quercus robur, C. betulus, Acer platanoides, P. abies, and T. cordata.Table 3. Results of the HSD Tukey pairwise post-hoc test for frequencies of the dominant neighboring tree species (Carpinus betulus and Tilia cordata) in the clusters surrounding large old central trees.Only significant differences are considered for central trees of C. betulus (hor), Acer platanoides (map), Quercus robur (oak), and T. cordata (lim).

Figure 4 .
Figure 4. Dependence of the mean distance of the neighbour trees from the large central tree (CT) of the cluster from: (a) CT species identity; (b) neighbour tree species identity; (c) diameter of the neighbour tree; (d) depth of the CT bark microrelief.

Figure 4 .
Figure 4. Dependence of the mean distance of the neighbour trees from the large central tree (CT) of the cluster from: (a) CT species identity; (b) neighbour tree species identity; (c) diameter of the neighbour tree; (d) depth of the CT bark microrelief.
Summary statistics of central trees (CT) and neighbour trees (NT) measured in the study: N-number of CTs measured; CT DBH-mean diameter at breast height (±Standard Deviation (±SD)) of the CT; NT DBH-mean diameter at breast height (±SD) of the NT; CT-NT-mean distance (±SD) between CT and NTs; Mi-mean mingling index (±SD); NT SR-mean species richness (±SD) of neighbour trees around the CT.

Figure A1 .
Figure A1.Distribution of the central tree diameter at breast height by species: Acer platanoides, Carpinus betulus, Picea abies, Quercus robur and Tilia cordata.

Table 2 .
Pairwise comparison (Dunn test) of the influence of the large central tree (CT) species (hor-Carpinus betulus, map-Acer platanoides, oak-Quercus robur, spr-Picea abies, lim-Tilia cordata) identity on mingling index and pairwise comparison of the large central tree species identity's influence on the distance to the nearest neighbours.
Mean distance of the five NTs from the CT was highest for clusters associated with C. betulus and lowest for those associated with T. cordata, Q. robur, and P. abies CT (Figure
Data Availability Statement: Not applicable.Conflicts of Interest:The authors declare no conflict of interest.