Classiﬁcation of Tree Functional Types in a Megadiverse Tropical Mountain Forest from Leaf Optical Metrics and Functional Traits for Two Related Ecosystem Functions

: Few plant functional types (PFTs) with ﬁxed average traits are used in land surface models (LSMs) to consider feedback between vegetation and the changing atmosphere. It is uncertain if highly diverse vegetation requires more local PFTs. Here, we analyzed how 52 tree species of a megadiverse mountain rain forest separate into local tree functional types (TFTs) for two functions: biomass production and solar radiation partitioning. We derived optical trait indicators (OTIs) by relating leaf optical metrics and functional traits through factor analysis. We distinguished four OTIs explaining 38%, 21%, 15%, and 12% of the variance, of which two were considered important for biomass production and four for solar radiation partitioning. The clustering of species-speciﬁc OTI values resulted in seven and eight TFTs for the two functions, respectively. The ﬁrst TFT ensemble (P-TFTs) represented a transition from low to high productive types. The P-TFT were separated with a fair average silhouette width of 0.41 and differed markedly in their main trait related to productivity, Speciﬁc Leaf Area (SLA), in a range between 43.6 to 128.2 (cm 2 /g). The second delineates low and high reﬂective types (E-TFTs), were subdivided by different levels of visible (VIS) and near-infrared (NIR) albedo. The E-TFTs were separated with an average silhouette width of 0.28 and primarily deﬁned by their VIS/NIR albedo. The eight TFT revealed an especially pronounced range in NIR reﬂectance of 5.9% (VIS 2.8%), which is important for ecosystem radiation partitioning. Both TFT sets were grouped along elevation, modiﬁed by local edaphic gradients and species-speciﬁc traits. The VIS and NIR albedo were related to altitude and structural leaf traits (SLA), with NIR albedo showing more complex associations with biochemical traits and leaf water. The TFTs will support LSM simulations used to analyze the functioning of mountain rainforests under climate change.


Introduction
Plant functional types (PFTs) are frequently used in climate change modeling to parameterize the vegetation in land surface models (LSMs) [1]. They have been primarily designed to group the high complexity of vegetation into discrete classes that represent studies used only a few selected tree species from a larger species pool, and relationships to functional traits or even ecosystem functions were not part of the investigations, mostly due to lacking data on simultaneously collected functional leaf traits.
To use optical data for the classification of PFTs, Ustin and Gamon [24] proposed a new method to derive optically distinguishable functional types from remotely sensed data by considering structural, biochemical, and phenological traits. A comprehensive study on N-Californian vegetation (18/11 total/tree species) using PCA and clustering resulted in 12 optical leaf functional types that may be related to leaf functions but did not group into the conventionally used PFTs [25]. In a study on three different temperate, semi-natural grasslands, Feilhauer et al. [26] compared eight simulated functional traits with measured spectral data and successfully classified the functional plant composition observed in the field. The authors suggested further testing with commonly used spectral metrics and field-derived functional trait data. Functional trait measurements were reported by Kattenborn et al. [27] for the same system, and the grouping was investigated with regard to three different PFT schemes and eight measured functional traits, showing that different functional traits were relevant to reproducing the specific PFT groups, which showed that a species pool might be grouped into different functional types depending on the ecosystem function of interest.
The aim of this study was to test if commonly used optical metrics allow the separation of the tree species of a megadiverse tropical mountain forest in Southern Ecuador into tree functional groups for two ecosystem functions: biomass production and solar radiation partitioning by leaves. This included determining the functional importance of optical metrics. As suggested by Feilhauer et al. [26], we applied commonly used leaf optical metrics, which are, to a large extent, also applicable to multispectral data. In contrast with the many previous studies, our analysis relied on a unique, comprehensive data set of simultaneously measured leaf hyperspectral (4030) and field-derived functional traits (20) of 52 tree species in one ecosystem.

Study Area
The study area is located at the eastern cordillera of the South Ecuadorian Andes. The region belongs to the Tropical Andes biodiversity hotspot and is an important area for nature protection and ecosystem services [28][29][30]. The region is characterized by a humid tropical climate throughout the year (Table S1), with an exceptionally wet period between March and July (peak months vary between sites) and a comparatively drier period from September to December [31,32]. The area is affected by climate change because significant warminghas been observed during the last decades [29]. Biomass burning in the Amazon has led to the long-range transport of aerosols and, thus, to the atmospheric depositions of plant nutrients (e.g., N) into the area, which increase with altitude [33,34]. The forest structure and tree species composition change with elevation, not only due to strong topographical differences (ravines and ridges) [35] but also due to pronounced climatic differences in the study area (Table S1). Nine one-hectare forest plots at three elevation levels were selected in the mountain rain forest of the SE Ecuadorian Andes (Figure 1 [28]): (i) the Cajanuma site (upper montane forest), which is close to the forest line at 3000 m above sea level; (ii) the San Francisco site (lower montane forest) at 2000 m above sea level, located in the Rio San Francisco valley next to the ECSF research station (Estación Científica de San Francisco, 3 • 58 18 S, 79 • 04 45 W, 1860 m above sea level) [36]; and (iii) the Bombuscaro site (premontane forest) at 1000 m above sea level, located in the transition zone to the Amazon lowland forest.
the Bombuscaro site (premontane forest) at 1000 m above sea level, located in the transition zone to the Amazon lowland forest.

Workflow and Data
A general overview of the workflow is shown in Figure 2. For sampling purposes, tree species were selected a priori to represent the tree communities of the three study sites. From previous studies, we used available data on SLA and wood-specific gravity (WSG) to select trees that covered the known range of the functional traits space of the study area [37]. Whereas SLA is linked to leaf-scale productivity via the leaf economics spectrum [9], WSG is related to plant mortality as specified by the wood economics spectrum [38]. The selected 52 tree species included pioneer-stage as well as early-, mid-, and late-successional types (Table S2). An eight-fold repetition of the sampling was performed for most species. For all the individuals of the selected species, leaf samples were acquired during February and March 2019 by harvesting canopy branches. The branches were transported in plastic bags to the spectrometer laboratory of the ECSF research station to prevent water loss and stored overnight with moist gauze. Ten mature leaves were used for measurements of hyperspectral leaf reflectance for each tree.

Workflow and Data
A general overview of the workflow is shown in Figure 2. For sampling purposes, tree species were selected a priori to represent the tree communities of the three study sites. From previous studies, we used available data on SLA and wood-specific gravity (WSG) to select trees that covered the known range of the functional traits space of the study area [37]. Whereas SLA is linked to leaf-scale productivity via the leaf economics spectrum [9], WSG is related to plant mortality as specified by the wood economics spectrum [38]. The selected 52 tree species included pioneer-stage as well as early-, mid-, and late-successional types (Table S2). An eight-fold repetition of the sampling was performed for most species. For all the individuals of the selected species, leaf samples were acquired during February and March 2019 by harvesting canopy branches. The branches were transported in plastic bags to the spectrometer laboratory of the ECSF research station to prevent water loss and stored overnight with moist gauze. Ten mature leaves were used for measurements of hyperspectral leaf reflectance for each tree.

Leaf Spectroscopy
The hyperspectral measurements were recorded with an OceanOptics spectrometer HDX, which offers an average spectral resolution of 0.28 nm for VIS (345.76-931.92 nm), and NirQuest, with an average resolution of 1.5 nm (897.98-1716.64 nm) for NIR, yielding a number of 2580 narrow hyperspectral bands. The measurement head was equipped with an integrating sphere and a 20 W stabilized illumination source. The spectra of five consecutive measurements on each leaf were averaged to increase the signal-to-noise ratio and stabilize fluctuations in the data. To receive optical metrics for each species, pre-processing of the raw hyperspectra was required. First, the reflectance spectra were calculated from raw counts by dividing the measurements of the samples by a reference measurement with a 25% grey standard (Spectralon), corrected by the dark current signal. The grey standard was chosen because it resembles leaf reflectance more closely so that changes in the gain settings at higher differences of leaf reflectance are not required [37]. The replicated leaf reflectance measurements were then aggregated to the mean species reflectance. HDX data were binned to a spectral resolution of 1 nm, whereas the NirQuest data were used with their original resolution. A Savitzky-Golay filter was applied to remove noise from the spectrum. The data range was trimmed to 475-1695 nm, and the spectra were merged using the overlapping spectral area from the HDX to NirQuest sensors because NirQuest provides relatively high photosensitivity at 900 nm wavelength, whereas the HDX declines to near zero in the overlapping region. The integrated albedo for VIS wavebands was defined as <700 nm, whereas NIR was defined as ≥700 nm as usually applied in land surface models, e.g., in [39]. . Study workflow. The hyperspectral leaf data were pre-processed and converted to commonly used leaf optical metrics (Table 1). A factor analysis was conducted to aggregate the optical metrics to optical traits indicators (OTIs), where the indication for the functional traits was documented by their correlation with species factor scores. A subsequent cluster analysis was used to assign the species to tree functional types (TFTs).

Leaf Spectroscopy
The hyperspectral measurements were recorded with an OceanOptics spectrometer HDX, which offers an average spectral resolution of 0.28 nm for VIS (345.76-931.92 nm), and NirQuest, with an average resolution of 1.5 nm (897.98-1716.64 nm) for NIR, yielding a number of 2580 narrow hyperspectral bands. The measurement head was equipped with an integrating sphere and a 20 W stabilized illumination source. The spectra of five consecutive measurements on each leaf were averaged to increase the signal-to-noise ratio and stabilize fluctuations in the data. To receive optical metrics for each species, pre-processing of the raw hyperspectra was required. First, the reflectance spectra were calculated from raw counts by dividing the measurements of the samples by a reference measurement with a 25% grey standard (Spectralon), corrected by the dark current signal. The grey standard was chosen because it resembles leaf reflectance more closely so that changes in the gain settings at higher differences of leaf reflectance are not required [37]. The replicated leaf reflectance measurements were then aggregated to the mean species Figure 2. Study workflow. The hyperspectral leaf data were pre-processed and converted to commonly used leaf optical metrics (Table 1). A factor analysis was conducted to aggregate the optical metrics to optical traits indicators (OTIs), where the indication for the functional traits was documented by their correlation with species factor scores. A subsequent cluster analysis was used to assign the species to tree functional types (TFTs).
The commonly used optical metrics were selected based on a literature survey to quantitatively respond to structural and biochemical leaf elements, which are considered important indicators for leaf productivity (e.g., SLA, N, and P) and further relate to quantities impacting leaf reflectance properties (e.g., leaf carotenoids and water content). Our preference was for commonly used Vis, which has been successfully applied in the tropics. Optical metrics and functional traits were all aggregated by species (Table 1). Table 1. Selected commonly used leaf optical metrics for the study. R: reflectance at wavelength (nm); D: first derivate of reflectance at wavelength (nm); AGB: aboveground biomass. (+) and (−) indicate the mathematical direction of the relationship between leaf optical metrics and functional traits. Selected references describing the expected relationship between optical metrics and functional traits are provided in the last column. Absorption bands affecting the metrics were taken from Jacquemoud and Ustin [11], except for tannin absorption, which was taken from Lehmann et al. [40].

Leaf Trait Measurements
Leaf functional traits related to leaf morphology (leaf area, SLA, and leaf water content) and foliar nutrients (C, N, P, Al, Fe, S, Ca, Mg, Mn, and K) were measured on 20 leaves of the same branches used for the hyperspectral measurements. Another three leaves were used to determine leaf thickness and toughness. For compound leaves, the morphology of the individual leaf elements was measured. The number of leaves analyzed per tree was reduced for species with particularly large leaves (e.g., Cecropia, Graffenrieda, and Pourouma) due to time constraints during leaf size determination. Leaf area was measured by scanning fresh leaves, including petioles in color (Canon LIDE 100, 150 dpi), and leaf silhouettes were retrieved using WinFOLIA 2014a software (Régent Instruments, Québec, QC, Canada). The fresh leaves were weighed and then dried at 60 • C for a minimum of three days for dry weight and leaf water content determination. SLA was calculated as the quotient of total leaf area by total leaf dry weight. A digital micrometer (Mitutoyo M293-240-70, Mitutoyo Germany Ltd., Neuss, Germany) was used to measure leaf thickness at each side of the main leaf vein between secondary veins. Leaf toughness (kN m −2 ) was determined using a digital penetrometer (flat-ended 2.0 mm diameter steel punch, DS-50N, Imada Inc., Japan). Both leaf thickness and toughness measurements were averaged. The C and N contents of dry leaf mass were analyzed using a CN elemental analyzer (vario EL III, Hanau, Germany). Ground leaf material was digested using HNO 3 in preparation for ICO analysis (Thermo Scientific iCAP 7000 ICP-OES, Thermo Fisher Scientific, Dreieich, Germany) to determine leaf Al, Ca, Fe, K, Mg, Mn, P, and S contents. Leaf-scale susceptibility for herbivory was estimated by dividing the mean area of herbivory on damaged leaves by the mean area of the complete leaves.

Determination of Optical Trait Indicators (OTI) by Factor Analysis
In a first step, we analyzed the suitability of the data set using Bartlett's test of sphericity and the Kaiser-Meyer-Olkin measure of sampling adequacy [52] and conducted a cross-correlation analysis among the selected optical metrics to unveil their potential interrelations.
A factor analysis was then conducted to reduce the selected optical metrics ( Figure 2, Table 1) and group them into distinguishable optical trait indicators (OTI). The number of meaningful factors was determined based on the eigenvalues extracted from the correlation matrix of the optical metrics. The factor solution was determined by minimizing the residuals and applying an oblique rotation. The contributions of the optical metrics to each factor were described by the strength and mathematical sign (direction) through factor loadings (−1 to 1). The analysis also provided scores for each species and factor (factor scores) that described the quantitative contribution (strength and direction) of the individual factor for each species. The factor scores were calculated using Bartlett's method, which provided standardized factor scores with zero representing the average score over all species. The analysis was conducted in R version 3.6.3 [53] using the psych package [52].
To convert the optical factors to optical trait indicators, the factors must be related to leaf functional traits. This was realized by correlating the factor scores with the leaf functional traits of the species for each factor using Pearson's product-moment correlation coefficient. The significance of the correlation coefficients was tested with t-statistics. The interpretation of the correlation coefficients finally allowed us to assign dominant functional traits to each optical factor, thus leading to the optical trait indicators.

Classification of tree Functional Types (TFT) by Cluster Analysis
The final task was to test if the 52 species belonged to distinguishable tree types that are related to the ecosystem functions of productivity and solar radiation partitioning. For this task, we used the affinity propagation cluster algorithm (APA), in which the number of clusters is determined by the algorithm, and the procedure is insensitive to outliers [54]. The cluster analysis was conducted with the species factor scores of the selected, functionally relevant factors. As a result, the species were assigned to functional tree types related to the two ecosystem functions. The grouping in APA was based on similarities between the species factor scores. As proposed by Frey and Dueck [55], the squared negative distance matrix was taken as a measure for similarities between species, as represented by their factor scores. The algorithm starts with each species forming its own cluster, then iteratively reduces the number of clusters by identifying species for which the combination of factor scores is similar to their neighboring species within the distance matrix. A general, more detailed description of the algorithm can be found in Frey and Dueck [55]. The method was used as implemented in the R-package apcluster [56].
To assess the strength of the clustering, the average distance of the species within and between the tree functional type clusters was calculated together with the silhouette width, which is a measure of the similarity of species within their own cluster with respect to other clusters. The silhouette width ranges between −1 and +1, with negative values indicating random grouping, whereas increasing positive values indicate a growing discriminability. Values >0.25-0.5 indicate a weak, >0.5-0.7 a moderate, and >0.7 a strong structuring of the data set, which means well-separated and compact clusters [57,58]. Longer distances between the clusters indicate a good separation, whereas shorter distances within a cluster indicate similar trait characteristics of the species within tree clusters and, thus, good compactness.

Relating Optical Metrics to Functional Traits
As expected, high correlations between the leaf optical metrics representing similar absorption features were found ( Figure S1). Clear relations were detected between the metrics covering the chlorophyll absorption bands (NDVI to SR798), the absorption bands for leaf pigments (ARI to GitelsonCar2), and the absorption bands related to carbohydrates and proteins (D1040 to WBI). As a consequence, the factor analysis reduced the optical metrics space to four factors (F1-F4) with a total variance explanation of 87%. The four individual factors explained 38%, 21%, 16%, and 12% of the variance, respectively. As shown in Table 2, the first factor explained leaf traits that related to leaf carbon (sugar and starch), leaf structure (lignin and cellulose), and leaf proteins and nitrogen ( Table 1). The second factor included leaf optical metrics relevant for photosynthesis and biomass production (e.g., leaf chlorophyll and water), whereas the third factor loaded on optical metrics related to leaf pigments (carotenoids and anthocyanins). The fourth factor mainly encompassed leaf optical metrics related to the amount of leaf water but also to specific leaf constituents such as heavy metals and phenolic compounds, which are known to be important for leaf defense against herbivory. Table 2. Factor loadings. Strong loadings on a factor are printed in bold, indicating the strength and direction of the impact of the optical metric on the respective factor Factors F1 to F4 explained 38%, 21%, 16%, and 12% of the variance, respectively. The loadings of F1 were strong for optical metrics related to carbohydrates, nitrogen, and water, whereas F2 loadings were strong for optical metrics related to photosynthetic pigment concentration and productivity. Optical metrics related to photo-protective pigments showed especially strong loadings on the F3 factor, whereas the F4 factor was mostly determined by optical metrics related to leaf water, phenolic compounds, and heavy metal concentrations.

F1
The correlation of the species factor scores with their functional leaf traits converted the factors to optical trait indicators ( Figure 3). We found that F1 is mainly related to structural leaf traits (SLA, mean leaf area and thickness, and force to punch), the leaf area density of biochemical traits (C, N, P, Mg, Mn, and Al), and leaf water, the mass fraction of biochemical traits (C, N, P, Ca, Fe, and Mn), and the C/N ratio, the latter regulating photosynthesis [59]. F2 particularly described a positive relation of the factor to the area density and/or the mass fraction of some essential trace leaf traits (Fe, Al, and Ca) and the N/P ratio, the latter of which is important for describing N and P limitations on plant growth with a usual negative correlation to biomass production [60]. Anthocyaninand carotenoid-associated optical metrics represented by F3 (Table 2) revealed significant negative correlations with mean total leaf area. The fourth factor (F4), which included optical metrics associated with heavy metals and leaf water content (Table 2), was related to Al, N, and the leaf water mass fraction (Figure 3). No significant associations of the four factors could be found for the area density and the mass fraction of some biochemical traits (S and K) and herbivory. The result of the factor analysis revealed that the first two factors were optical trait indicators for the ecosystem function biomass production. The first factor included all structural traits, carbohydrates, and important leaf nutrients related to the biomass stock. The second factor comprised metrics related to leaf chlorophyll, a functional trait that was not explicitly sampled during the field work. However, the N/P ratio relates to biomass production [60,61], and leaf Ca, Al, and Fe were considerably important for the chlorophyll content of leaves and/or photosynthesis, particularly in different crops (e.g., as shown in [62][63][64]).
With regard to solar radiation partitioning between leaves and the atmosphere, VIS and NIR albedos were significantly correlated to all four factors, so are thus relevant as optical trait indicators. In F1, the VIS albedo showed a significant negative correlation compared with the positive of leaf thickness and C, which means the greater the biomass, the greater the absorption of VIS light. The NIR albedo revealed the contrary: the more the structural components, the higher the reflectance. In F2, NIR albedo was positively correlated to chlorophyll, pointing to an impact of the well-known red edge reflection enhancement through chlorophyll in the NIR [65]. F3 showed a negative correlation of VIS albedo in the absorption bands of leaf pigments. In F4, a positive correlation of NIR albedo was mainly related to a negative correlation with the mass fraction of leaf water. A high leaf water content thus reduced NIR albedo due to the NIR water absorption bands mainly around 1400 nm (D1400 metrics) represented by F4. The result of the factor analysis revealed that the first two factors were optical trait indicators for the ecosystem function biomass production. The first factor included all structural traits, carbohydrates, and important leaf nutrients related to the biomass stock. The second factor comprised metrics related to leaf chlorophyll, a functional trait that was not explicitly sampled during the field work. However, the N/P ratio relates to biomass production [60,61], and leaf Ca, Al, and Fe were considerably important for the chlorophyll content of leaves and/or photosynthesis, particularly in different crops (e.g., as shown in [62][63][64]).
With regard to solar radiation partitioning between leaves and the atmosphere, VIS and NIR albedos were significantly correlated to all four factors, so are thus relevant as optical trait indicators. In F1, the VIS albedo showed a significant negative correlation compared with the positive of leaf thickness and C, which means the greater the biomass, the greater the absorption of VIS light. The NIR albedo revealed the contrary: the more the structural components, the higher the reflectance. In F2, NIR albedo was positively correlated to chlorophyll, pointing to an impact of the well-known red edge reflection enhancement through chlorophyll in the NIR [65]. F3 showed a negative correlation of VIS albedo in the absorption bands of leaf pigments. In F4, a positive correlation of NIR albedo was mainly related to a negative correlation with the mass fraction of leaf water. A high leaf water content thus reduced NIR albedo due to the NIR water absorption bands mainly around 1400 nm (D1400 metrics) represented by F4.

Classification of Leaf Optical Trait Indicators to Tree Functional Types (TFTs)
Because the factor analysis revealed different optical trait indicators explaining biomass production (F1-F2) and VIS-NIR albedo-mediated partitioning of solar radiation (F1-F4), two separate cluster analyses were conducted. The resulting tree functional types are hereinafter referred to as P-TFT (function productivity) and R-TFT (function radiation partitioning).
Clustering in the bivariate trait space based on species factor scores for F1 and F2 resulted in seven P-TFTs ( Table 3). The delineation of the TFTs was described by an average silhouette width of 0.41, which indicated a weak to moderate clustering of the data, with higher compactness and separability of clusters P-TFTs 2 and 5 ( Figure S2). The individual P-TFTs revealed different expressions of the dominant functional traits related to productivity (Figure 4). In general, TFTs P2-P4 showed a lower variation in the functional traits around the median compared with the remaining TFTs P1 and P5-P7. Thus, a stronger deviation from mean ecosystem productivity was expected from species within these clusters.
The P1-TFT was characterized by thin leaves and low SLA. Furthermore, its C/N ratio was higher due to high C and low N contents. The small decrease in the N/P ratio suggested a minor limitation of productivity by P availability. The TFT included Clusia elliptica, a species whose habitat extends into the sub-paramo [35], where tough leaves are required due to a high amount of shearing stress related to high wind speeds [66]. It is thus considered to exhibit very low productivity.
P2 showed a decreased SLA, although to a lesser degree than P1-TFT, as it comprised species with thinner leaves and higher leaf area. This TFT showed the highest increase in leaf C, while exhibiting lowered N content. An increased C/N was combined with a minor decrease in the N/P ratio, which showed fewer restrictions due to nutrient availability. Due to its leaf morphology, it was still considered a low-productivity TFT.
The P3-TFT had thicker, smaller leaves than P2; however, its SLA was higher. Whereas the leaf N content was decreased, its C content showed only a slight increase. However, the C/N ratio was elevated, whereas its decrease in N/P ratio showed minor limitations due to P availability. P2 combined high-elevation species with mid-elevation species like Alzatea verticillata and Podocarpus oleifolius, which favor nutrient conservation over productivity and, as such, are slow-growing. Thus, it was considered a P-limited low productivity TFT. leading to a low C/N ratio was observed, its N/P ratio suggested a high limitation by P availability. Thus, it was considered a P-limited, high-productivity TFT. The P6-TFT showed an increased SLA and leaf area, while leaf thickness was strongly decreased. The leaf biochemical composition of P6 was characterized by a slight decrease in carbon content and an increased N content. The C/N and N/P ratios were lower than the average, which suggested a minor P limitation. Therefore, the P2-TFT was interpreted as a high-productivity TFT.
P7 was characterized by the highest SLA and total leaf area in combination with low leaf thickness. It showed strong derivations in biochemical leaf traits, especially for the C/N ratio, nitrogen, and N/P ratio (Figure 4). Although the increased N/P ratio showed P limitations for productivity, the generally high N content in combination with large, thin leaves could be interpreted as increased productivity. This is further corroborated by a lowered C/N ratio, which argues for increased photosynthesis per unit leaf area. This agrees with the fast-growing pioneers (Heliocarpus americanus or Tapirira guianensis) species comprising P1-TFT (Table S3). It could thus be described as a TFT with very high productivity. P4 similarly had small leaves but with a below-average thickness. Its SLA was slightly increased. Its nutrient traits showed nearly no deviation from average, except a decreased N/P ratio, which suggested it may be more N-limited. It was hence considered an intermediate productivity TFT.
The low-elevation species Miconia aff punctata was assigned into a separate P5-TFT. Although it had only slightly thinner leaves than P4, it exhibited much larger leaves and a higher SLA. Leaf carbon was slightly increased. Although a strong increase in N content leading to a low C/N ratio was observed, its N/P ratio suggested a high limitation by P availability. Thus, it was considered a P-limited, high-productivity TFT.
The P6-TFT showed an increased SLA and leaf area, while leaf thickness was strongly decreased. The leaf biochemical composition of P6 was characterized by a slight decrease in carbon content and an increased N content. The C/N and N/P ratios were lower than the average, which suggested a minor P limitation. Therefore, the P2-TFT was interpreted as a high-productivity TFT.
P7 was characterized by the highest SLA and total leaf area in combination with low leaf thickness. It showed strong derivations in biochemical leaf traits, especially for the C/N ratio, nitrogen, and N/P ratio (Figure 4). Although the increased N/P ratio showed P limitations for productivity, the generally high N content in combination with large, thin leaves could be interpreted as increased productivity. This is further corroborated by a lowered C/N ratio, which argues for increased photosynthesis per unit leaf area. This agrees with the fast-growing pioneers (Heliocarpus americanus or Tapirira guianensis) species comprising P1-TFT (Table S3). It could thus be described as a TFT with very high productivity.
The P-TFTs exhibited a distinct difference in productivity between high-and lowelevation species (Figure S4), whereas mid-elevation species were assigned to P-TFTs ranging from low to very high productivity. It is likely that the higher N content of P2 compared with P3 originated from the higher number of mid-elevation species (Figure 4). Altogether, P-TFTs showed a transition from low (P1, P2, P3, and P4) to high and very high productivity (P5, P6, and P7) types.
With regard to solar radiation partitioning between leaves and the atmosphere, the relevant traits, VIS and NIR leaf albedo, were found to be related to all four optical trait indicators in the factor analysis ( Figure 3). Thus, clustering was conducted based on the species factor scores for F1 to F4, resulting in eight TFTs for solar radiation partitioning (R-TFTs, Table 4, Figure S3). The separation quality of the clusters was described by an average silhouette width of 0.28, indicating a generally weak structuring of the data space, also compared with the function productivity. Only two R-TFTs (R2 and R8) showed better separability and compactness. Table 4. Cluster properties and quality metrics of TFTs influencing radiation partitioning between leaves and atmosphere (R-TFT). The TFTs were described according to average species factor scores for F1-F4. R-TFT size is the number of species assigned to the respective TFT. Bold values of silhouette width represent moderately well-separated and compact clusters. The average within cluster distance could not be calculated for R1 and R3, as they only consist of one species. In general, the VIS albedo of the R-TFT space (median = 7.4%) was lower than the NIR albedo (median = 21.9%) due to the strong absorption features in the visible spectrum. As a consequence, the deviations in the NIR albedo from the average of all R-TFTs were also higher compared with the VIS region ( Figure 5). Two TFTs (R4 and R8) revealed a negative deviation in both VIS and NIR albedo, whereas, for the other types, the mathematical sign of the VIS/NIR deviations was inverted, which was expected from the negative correlation between VIS and NIR albedo ( Figure S5). Positive VIS at negative NIR deviations occurred for R5, R6, and R7, whereas the contrary held for R1, R2, and R3. R4 laid close to the ecosystem average median albedo in the NIR and R1 and R6 in the VIS. The strongest positive deviation for NIR albedo was found in R1 (represented by one species only), and an exceptionally pronounced positive VIS albedo deviation was found for TFT R5. The absolute range of ecosystem albedo variations in the R-TFT space was 2.8% for VIS albedo and 5.9% for NIR albedo. The different optical properties of the TFTs could be explained by the optically effective functional leaf traits ( Figure 6, Table S4). Although the differentiation of VIS albedo deviations was less clear between the R-TFTs, a continuous decrease in NIR albedo from R-TFT 1-8 was visible. R1 showed an average behavior in VIS albedo but the strongest positive deviation in NIR albedo. This was not expected because the pioneer species Miconia aff punctata forming this TFT cluster is characterized by thinner and larger leaves at average leaf water. However, the positive NIR albedo deviation might be related to the exceptionally positive deviation of the leaf N/P ratio (33.7, deviation +73.8%). The positive leaf N causing this ratio ( Figure 6) supports an increased leaf chlorophyll content and, thus, a higher NIR reflectance in the transition from red to NIR wavelength (red edge effect). R2 was characterized by thicker and small leaves ( Figure S6) with reduced leaf water ( Figure 6). The combination of lower water absorption and a thicker leaf with a higher cross-section of structural leaf components explains the enhanced NIR albedo. The thickness of the leaves promotes the absorption of VIS radiation, reducing VIS albedo. The TFT group R3 revealed the highest leaf thickness at the lowest leaf area (Figures 6 and S7). The cluster only consisted of the high-elevation sclerophyllous tree species Clusia elliptica. Figure 5. Deviations from average median VIS (blue, <700 nm) and NIR (red, >700 nm) albedos for the R-TFTs 1-8 related to different effects on solar radiation partitioning. Average median values over all R-TFTs were: VIS albedo = 7.4%, NIR albedo = 21.9%. Significant differences between the TFT albedos and the average TFT median albedo are marked corresponding to the p-value < 0.05: *; p-value < 0.01: **; p-value < 0.001: ***. The TFTs R1 and R3 were not tested, as they were only comprised of a single species.
The different optical properties of the TFTs could be explained by the optically effective functional leaf traits ( Figure 6, Table S4). Although the differentiation of VIS albedo deviations was less clear between the R-TFTs, a continuous decrease in NIR albedo from R-TFT 1-8 was visible. R1 showed an average behavior in VIS albedo but the strongest positive deviation in NIR albedo. This was not expected because the pioneer species Miconia aff punctata forming this TFT cluster is characterized by thinner and larger leaves at average leaf water. However, the positive NIR albedo deviation might be related to the exceptionally positive deviation of the leaf N/P ratio (33.7, deviation +73.8%). The positive leaf N causing this ratio ( Figure 6) supports an increased leaf chlorophyll content and, thus, a higher NIR reflectance in the transition from red to NIR wavelength (red edge effect). R2 was characterized by thicker and small leaves ( Figure S6) with reduced leaf water ( Figure 6). The combination of lower water absorption and a thicker leaf with a higher cross-section of structural leaf components explains the enhanced NIR albedo. The thickness of the leaves promotes the absorption of VIS radiation, reducing VIS albedo. The TFT group R3 revealed the highest leaf thickness at the lowest leaf area (Figure 6 and Figure S7). The cluster only consisted of the high-elevation sclerophyllous tree species Clusia elliptica. The high leaf structural components and the positive leaf water deviation led to positive/negative deviations in NIR/VIS albedo. R4 was the biggest R-TFT group, consisting of 15 mid-to high-elevation species with relatively thick but small leaves ( Figure 6, Figure S7). The strong negative correlation with leaf thickness (Figure S5) was the reason for the negative deviation of the VIS albedo in this R-TFT group. The weaker positive relation of structural elements with NIR albedo in combination with negative deviations of N most likely reduced the red-edge effect through lower leaf chlorophyll content, finally leading to a close-toaverage NIR albedo. R-TFT 5 included four mid-to high-elevation species, characterized by the biggest and thinnest leaves ( Figure S6), with minor positive deviations in leaf water ( Figure 6) and the highest positive leaf Ca deviation (+48%). The latter is known to support high leaf water throughput [67]. The lacking reflective cross-section of leaf structural elements and the increased leaf water absorption were the reason for the negative deviation in NIR albedo ( Figure 5). Exceptionally high was the increase in VIS albedo. This could be explained by weak absorption. The leaf nutrient contents of N ( Figure 6) and, particularly, P (high positive deviation of 24.5%), as well as an exceptionally high positive deviation in leaf Fe (+48.3%) supported increased leaf chlorophyll concentration. Leaf Fe positively influences the chlorophyll leaf content, where a considerable increase in leaf reflectance, particularly around 550 nm, with leaf Fe level was reported [68]. R6 comprised 12 mostly lowland species with smaller and thin leaves. Consequently, the cluster showed a reduced NIR reflectance mainly due to thin leaves. The VIS albedo was slightly positive. Obviously, the high leaf N ( Figure 6) and P contents, the latter having the highest positive deviation of 39.5%, supported the leaf chlorophyll level so that VIS albedo could be slightly enhanced, particularly in the green band. R-TFT 7 encompassed nine low-to mid-elevation, largeleaved species with below-average leaf thickness ( Figure 6, Figure S7). VIS albedo showed a positive deviation at average leaf N. The highest positive leaf water content at belowaverage thickness increased NIR absorption so that the NIR albedo was clearly reduced. Leaf water could support photosynthesis and chlorophyll content, enhancing green albedo. R8, consisting of five mid-to high-elevations species with small leaves of intermediate thickness, showed relatively moderate deviations in both the functional leaf traits and VIS albedo (slight negative deviation), but the strongest negative deviation in NIR albedo. The slight negative deviation of the VIS albedo is mainly explained by the intermediate leaf thickness, but also by the strongest negative deviation in leaf Ca (−36.9%), which revealed a strong positive relation with VIS albedo ( Figure S5). The strongest negative deviation of NIR albedo was hard to explain with the average behavior of the majority of the functional traits. However, NIR albedo was negatively correlated with leaf P and Mg ( Figure S5). Leaf P showed a higher positive deviation for cluster 8 (+17.9%), and Mg particularly revealed an exceptionally high positive deviation of all clusters (+39.9%), so that the latter explained the strong negative deviation of the NIR albedo. Figure S7 shows that that the individual R-TFT clusters were organized along the altitudinal gradient. No cluster included species belonging to all three elevational levels. The 1000 and 3000 m plots were included in four clusters each, while the transition level at 2000 m belonged to six clusters. By including elevation into the cross-correlation of the R-TFT optical (albedo) and functional traits ( Figure S5), we found a clear increase in VIS albedo with altitude. This mainly occurred due to the increase and decrease in the absorbing structural traits leaf thickness and SLA, respectively, of the R-TFT species. Conversely, there was no pronounced correlation of NIR albedo with altitude. NIR albedo seems to be related to a complex balance between structural (e.g., leaf thickness, SLA) and biochemical traits, where some of the correlating traits are also height-related. However, when excluding the single-species cluster 1, a superordinated relation between NIR albedo, SLA, and elevation became obvious (Table S5).
Even if the cluster separation only shows a weak structuring, the eight R-TFTs would have different impacts on solar radiation partitioning between leaves and the atmosphere. Because absorbed VIS radiation is more converted into chemical energy, whereas absorbed NIR is converted into heat, it was important to differentiate the groups accordingly (   Figure S7 shows that that the individual R-TFT clusters were organized along the altitudinal gradient. No cluster included species belonging to all three elevational levels. The 1000 and 3000 m plots were included in four clusters each, while the transition level at 2000 m belonged to six clusters. By including elevation into the cross-correlation of the R-TFT optical (albedo) and functional traits ( Figure S5), we found a clear increase in VIS albedo with altitude. This mainly occurred due to the increase and decrease in the absorbing structural traits leaf thickness and SLA, respectively, of the R-TFT species. Conversely, there was no pronounced correlation of NIR albedo with altitude. NIR albedo seems to be related to a complex balance between structural (e.g., leaf thickness, SLA) and biochemical traits, where some of the correlating traits are also height-related. However, when excluding the single-species cluster 1, a superordinated relation between NIR albedo, SLA, and elevation became obvious (Table S5) Even if the cluster separation only shows a weak structuring, the eight R-TFTs would have different impacts on solar radiation partitioning between leaves and the atmosphere. Because absorbed VIS radiation is more converted into chemical energy, whereas absorbed NIR is converted into heat, it was important to differentiate the groups accordingly

Discussion
Here, we delineated functional tree types for two different ecosystem functions, productivity, and solar radiation partitioning, by clustering species factor scores of a few optical trait indicators (OTIs), which were derived from commonly used optical metrics and leaf functional traits.
The indicator function of the OTIs (F1-F4) for the two ecosystem functions was in accordance with other studies. The correlation of F1 with several traits of the leaf economics spectrum describes leaf-scale productivity ranging from conservative resource use and lowered productivity to fast nutrient acquisition and increased productivity [9,43]. The chlorophyll-related optical metrics contributing to F2 positively influence leaf-scale productivity because chlorophyll is increased to optimize pigment concentrations for photosynthesis [69]. Chlorophyll contents have been found to enhance photosynthetic capacity [69][70][71] and light-use efficiency [72]. As a consequence, leaf carbon gain increases with increasing chlorophyll content [73,74]. With regard to radiation partitioning, the correlation of F1 with functional traits represents the prevalent influence of non-pigmental leaf constituents and leaf structural properties on leaf reflectance [11]. The influence of leaf pigments on reflectance was divided into two separate OTIs related to chlorophyll (F2) and photo-protective pigments (F3). This originates from different impacts on leaf reflectance, as anthocyanins and carotenoids absorb strongly in the green region and weakly in the blue and red regions (various sources in [11,75,76]). F4 indicates the impact of leaf water content on NIR albedo [77]. Altogether, we found that the two selected ecosystem functions of the mountain rainforest in SE Ecuador could be represented by different OTI combinations, which coincides with other studies that also used different trait sets to explain ecosystem functions [78,79].
Based on the different OTIs used for the two ecosystem functions, the clustering approach also resulted in two TFT sets with a differing assignment of the 52 tree species. The productivity-related P-TFTs in the mountain rainforest showed a separation in high-to mid-elevation and mid-to low-elevation TFTs, primarily due to a trend from low (P1-P4) to high acquisitive functional leaf traits (P5-P7), which indicates higher productivity at lower elevations. This corresponds to a study in the Peruvian Andes, which found a decrease in productivity with increasing elevation [80]. The difference between productivity at high and low elevation was also confirmed by a stand-level study in the same region, showing a sharp decrease in net primary production (NPP) from 1000 to 3000 m [81]. This was also supported by general elevation trends in productivity-related leaf traits, namely SLA and N, which decrease from the mid-to low-elevation TFT P7 to the highelevation TFT P1. Wallis et al. [81] found a comparable decrease in SLA from high to low elevation. They also found that foliar N was reduced at high elevation but that similar levels occurred at 1000 and 2000 m elevation. Our new, more comprehensive trait data set revealed an average decrease in foliar N also between 1000 and 2000 m, thus supporting the superordinated grouping of P-TFTs for productivity along the elevation gradient. In addition to this elevational trend, further cluster separation may result from the local environmental conditions, such as soil nutrient pools, that influence productivity. The high number of mid-elevation species assigned to the low-productivity TFTs P2 and P3 corresponds to the differences in foliar N, which were also found by Moser et al. [82] at the same elevation level. Thus, P-TFTs characterizing less acquisitive slow-growing and high acquisitive fast-growing species could generally occur on the same elevation level where the cluster separability is related to differences in soil nutrient availability [83][84][85][86]. In extreme cases, the superordinated elevation P-TFT grouping might be masked by strong local nutrient gradients observed in related leaf traits such as leaf N [87]. This might explain why other studies in Andean mountain rainforests found no clear altitudinal trend in productivity [88]. Our P-TFT grouping revealed that no complete masking of the elevation (climate) effects along the elevation gradient occur for the mountain rainforest in SE Ecuador, but that local nutrient gradients lead to a functional subgrouping of tree species at the same elevation level. This combined influence of elevation (through climate) on productivity was recently investigated for two Ecuadorian mountain forests by Homeier et al. [89], including our study site.
The second set of TFTs was delineated to describe impacts on solar radiation turnover at the leaf level for both VIS and NIR wavelengths. The R-TFTs showed a decrease in VIS albedo with increasing elevation, whereas NIR showed a less distinct direct differentiation with elevation. The R-TFTs were separated based on all OTIs relating to leaf structure and nutrient status (F1), pigment concentrations (F2 and F3), and interactions between NIR albedo and leaf water status (F4). The clusters revealed a clear decrease in VIS albedo with increasing elevation, whereas NIR initially showed a less clear differentiation with elevation. However, alterations in NIR albedo were attributed to elevational changes in SLA by Doughty et al. [5]. Particularly when the single-species cluster of the pioneer tree Miconia aff punctata was excluded from cross-correlation (Table S5), the relation of the RTF clusters' NIR albedo with elevation, SLA, and leaf water became much more dominant and showed the same direction as in [5]. Further variations are due to biochemical traits and leaf water. This showed that traits of individual species could mask the general altitudinal orientation of the optical cluster. The VIS albedo of the R-TFTs revealed a clear relation to elevation, mediated mainly by leaf structural traits and individually modified by biochemical traits, such as leaf N for R8. This finding contrasts those of Doughty et al. [5], who did not find a clear elevational dependence of VIS albedo for another tropical mountain forest. Poorter et al. [90] showed that SLA correlated positively and chlorophyll negatively with the availability of light. Because the high-elevation clusters R2, R3, and R8 were located in an area of very high cloud coverage of around 80% [91], light is scarce. The expected light adaptation is visible in the reduced VIS albedo (increased absorbance for photosynthesis) of these clusters, but only in R8 for NIR albedo. Altogether, the R-TFT groups showed a superordinated orientation of both VIS and NIR albedo to altitude and structural traits, modified by specific species with diverging biochemical properties. Midelevation species were present in nearly all R-TFTs, which argues for a high diversity of leaf spectral responses at this altitudinal level. Göttlicher et al. [92] clustered leaf reflectance and transmittance of species in a montane rainforest at 2000 m into seven groups, also supporting our cluster results.
Despite the functional reasonableness of our TFT grouping for both functions, it is debatable if the groups are separated enough to justify distinct TFTs in LSMs. The clustering of OTIs into TFTs showed only a weak structuring of the TFTs. This underpins the generally high variation within functional groups but distinct differences between average traits, as also found by Reich et al. [16]. The main reason is the near-continuous distribution of optical functional indicator values, which can similarly be observed for the functional traits of species in the study area [28]. A reason for this is most likely the high number of tree species in the megadiverse mountain forest. High data continuity was also confirmed for other studies using a large number of tropical species [93,94]. Furthermore, trait responses to climate variables as described for SLA [5] may also be continuous; thus, vegetation representation in LSMs may be improved by the integration of full trait diversity rather than using a fixed average of PFT parameters [28]. It was shown that the precision of model predictions for vegetation productivity could be improved by supplying a range of values for PFT parameterization; however, fixed-parameter values for key plants have been, to date, largely thought sufficient for the calculation of surface fluxes (e.g., evapotranspiration and net shortwave radiation) [95]. Doughty et al. [5] and the considerable range in NIR optical traits found in our study, however, underpin the need for better model parameterization, especially for the function of radiation partitioning. The TFT sets in this study provide the possibility of using regionally applicable groups for vegetation parameterization, which may improve LSMs such as the community land model (CLM) [96]. A better optical parameterization may especially improve simulations of energy and water fluxes, as Göttlicher et al. [92] found strong deviations between default and fixed VIS and NIR albedo parameters from the general PFT "evergreen tropical broadleaved trees" deployed by the CLM and the real levels in the mountain rain forest.

Conclusions
We found that OTIs could be used to categorize species of a megadiverse tropical mountain forest into ecologically meaningful groups for the two functions of productivity and radiation partitioning, which can be explained by environmental drivers. P-TFTs represent leaf-scale productivity in reasonable groups, reflecting acquisitive traits that adequately represent stand-scale patterns of forest productivity. The R-TFT set was considered to be well-suited to functionally differentiating tree species with regard to radiation partitioning, as optical metrics directly relate to VIS and NIR albedo. Elevation-dependent differences in VIS and NIR albedo are especially expected to enable the simulation of changes in radiation fluxes, which were shown to affect heat fluxes between the atmosphere and vegetation, potentially leading to strong additional warming feedback under climate change [5].
Supplementary Materials: The following are available online at https://www.mdpi.com/article/10 .3390/f12050649/s1. Table S1: Means and standard deviations of climate variables for the study sites by elevation; Table S2. Overview of sampled species and mean functional traits; Table S3. Species affiliation to TFTs for productivity (P); Table S4. Species affiliation to TFTs for radiation fluxes (R); Figure S1. Correlation matrix of optical traits; Figure S2. Clustering in the bivariate factor space for the productivity ecosystem function; Figure S3. Clustering of the complete factor space; Figure S4. Altitudinal distribution of P-TFTs along the elevation gradient Figure S5; Cross-correlation matrix (Spearman's rho) of the R-TFT VIS and NIR and albedo with the median values of the functional traits; Figure S6. Leaf geometry of the R-TFT clusters; Figure S7. Altitudinal distribution of R-TFTs along the elevation gradient.

Data Availability Statement:
The data presented in this study are available on request from the corresponding author.