3.1. Colour Characteristics of Oak Species
The lightness (
L*) of the oak samples ranged from 56.61 (
Q. pedunculiflora) to 73.62 (
Q. palustris) (
Figure 1). The
L* varied the most in
Q. pedunculiflora, from 56.61 to 66. The oak species with the highest level of
L* was
Q. palustris (
Figure 1).
In terms of red colour (positive value of the
a* parameter),
Q. cerris had the highest mean (8.32,
Figure 2).
Q. palustris had the lowest value of the
a* parameter, with a low tone of red. In the case of
Q. robur, there was a high variation of the
a* parameter, from 4.82 to 7.33 (
Figure 2) with 0.82 standard deviation. Moreover,
Q. cerris registered a high variation of the
a* parameter, from 7.03 to 9.07. A low variation of the
a* parameter was registered in the case of
Q. pedunculiflora, Q. petraea, Q. pubescens, and
Q. palustris (
Figure 2).
The
b* parameter refers to the variation from blue (
b* with negative value) to yellow (b with positive value). In terms of the oak species in this study, the
b* factor ranged from 20.36 (
Q. palustris) to 27.89 (
Q. pubescens) (
Figure 3). Only in the case of
Q. robur was the variation of the
b* parameter high (from 20.68 to 26.77 with 1.96 standard deviation). A low variation of the
b parameter was registered in the case of
Q. pedunculiflora, Q. petraea, Q. pubescens, and
Q. cerris (
Figure 3).
3.2. Grouping Species by Colour Parameters
Cluster analysis can be used as an exploratory data analysis approach to group a set of objects (in this case, wood samples) in such a way that the objects in the same group (called a cluster) are more similar (in some sense) to each other than to those in other groups (clusters). For this study, the cluster analysis was relevant to the differences in the colour of the wood from different tree species, as well as within the same tree species.
To group the samples (and species) according to the Δ
E*, cluster analysis was used. Using the k-means clustering method, seven clusters were obtained. The presence of a sample in a cluster represents the existence of differences in the colour variations from the ΔE* point of view. If certain samples (and species) fall into several clusters, this means that there are premises for intra-sample colour variations. The presence of samples from different species in each cluster is presented in
Table 1. Each species is present in at least in one cluster.
Table 1 reveals that there is variety in the participation of each oak type to the number of clusters. Some oak species participated in more than three clusters, while others participated in only two. This suggests a variety of colours within the same species.
Quercus robur and
Quercus pubescens were present in two of the clusters. The variations of the colours in this context were fewer, i.e., the species’ colours are resilient. Conversely,
Quercus palustris had the highest number of variations in colours among the species range. The total number of entities in the samples was 89. In cluster one, there were fourteen entities; in cluster two, there were three; in cluster three, there were twenty-three; in cluster four, there were eleven, in cluster five, there were two; in cluster six, there were fifteen; and in cluster seven, there were twenty-three. A comparison of each cluster with the average coordinates of all of the clusters are presented in
Figure 4.
The graph shows that clusters five and two had the lightest wood. Clusters four and seven were the darkest. In clusters two and five, only Quercus palustris (pin or Spanish oak) was present. This was the lightest wood in the sample. Cluster three included most of the species and was amongst the lightest. Cluster seven represented the reddest wood. The lightest clusters (five and two) included species with lightwood, and the a* and b* coordinates have the lowest values. Clusters with many samples included seven different samples, and three had different profiles. Cluster seven contained samples with the reddest wood, but was darker than cluster three. Cluster three had almost average values for all of the indicators.
The degrees of changes between the average cluster coordinates and each of the seven clusters discovered are presented in
Table 2, according to the classification of Cividini et al. [
39].
The table shows that most of the differences were insignificant. There was a significant difference between the middle cluster and clusters four and five. Cluster four includes a 90% sample of
Q. pedunculiflora. This species was also present in clusters six and seven. In cluster six, the number of samples was one; thus, the analysis was conducted for clusters four and seven, for which the number of samples was five. The Shapiro–Wilk test results for normality in terms of
p-values are presented in
Table 3.
The results show that all of the variables were normally distributed and the
t-test for differences could be applied.
Table 4 presents the results.
The results reveal that the lightness (L*) and the yellowness (b*) were significantly different in cluster seven compared with cluster four. The redness (a*) was not different among the clusters. In cluster seven, the samples of Quercus pedunculiflora were more yellow and were lighter. There are at least two significantly different types of wood texture of Quercus pedunculiflora in Romania.
A comparison between the samples of the same species among the clusters was possible for every cluster that contained many samples and for species with many samples spread throughout different clusters.
Quercus robur was one of these species, after
Quercus pedunculiflora. It participated in clusters one, three, and six. In the current study, seven samples of the species were analysed in each cluster for each type of coordinate. The test for normality was conducted for eight samples from each of the clusters one, three, and six, and the results are presented in
Table 5.
According to the results in the table, all of the variables were normally distributed and the t-test could be used for the differences. The results revealed that all of the differences were statistically significant. For lightness (L*), the p-values were as follows:
- -
For the differences between clusters one and three, p = 0.000.
- -
For the differences between cluster one and cluster six, p = 0.016.
- -
For the differences between cluster three and cluster six, p = 0.003.
The lightness was statistically different in each cluster. The redness was significantly different between clusters one and six, and between three and six. For the yellowness, all differences were significant. After the estimation and determination of the significance of the differences, it is clear that three colours of wood exist in Quercus robur. The degree of differences are as follows, using model (3):
- -
ΔE* cluster one–cluster three = 3.86.
- -
ΔE* cluster one–cluster six = 4.59.
- -
ΔE* cluster three–cluster six = 3.22.
The results reveal that there are differences in the colours, but according to Cividini et al. [
39] and Barcík et al. [
29], the colour changes are only visible using filters. In other words, there are no different colours, but there are three statistically significant variances of the colours in
Quercus robur. The greatest difference is between cluster one and cluster six. The difference in
L* is only 2%, but in
a* and
b*, the difference is 17%. This means that the common oak in Romania has variations with more red and yellow wood, but not lighter wood. Clusters one and three exhibited slight differences in lightness and yellowness of approximately 5% to 9%.The results confirm the relationship between the individual parameters. Unlike the results of other authors such as Moya and Berrocal [
18] for different tree species (
Tectona grandis), the current results show a significant relationship between
L* and
b*. The relationship between
a* and
b* is characteristically positive. The redness of the Romanian oak wood corresponds with its blueness; a 1% increase in the redness would lead to 0.5% of the blueness. For lighter Romanian oaks, their yellowness increases by 0.15% for every
L* percent increase; for each 1% increase, the redness of the Romanian oak heartwood reduces by 0.1% (
Figure 5).
The wood density of the oak species also influences the colour coordinates. The results of the linear multiple regression are presented in
Table 6.
The table shows a very weak relationship between the density of the wood species and the colour coordinate system, as well as the CIELAB coordinates. The only statistically significant relationship, although very weak, was between the density of the heartwood and its redness. In only 7% of the cases was the higher density of the oak related to a redder heartwood.