COMMUNITY ECOLOGY 8(1): 57-65, 2007 1585-8553/$20.00 © Akadémiai Kiadó, Budapest DOI: 10.1556/ComEc.8.2007.1.8 On the overlap between effect and response plant functional types linked to grazing C. C. Blanco1, 2, E. E. Sosinski Jr.2, B. R. C. dos Santos3, M. A. da Silva3 and V. D. Pillar2 1 Corresponding author. Department of Ecology, Graduate Program in Ecology, Federal University of Rio Grande do Sul. Fax: ++55 51 33087626, E-mail: [email protected] 2 Laboratory of Quantitative Ecology, Department of Ecology, Federal University of Rio Grande do Sul, Av. Bento Gonçalves, 9500, Porto Alegre, RS, 91540-000, Brazil. 3 Department of Forage Plants and Agro-meteorology, Faculty of Agronomy, Federal University of Rio Grande do Sul, Av. Bento Gonçalves 7712, Porto Alegre, RS, 91540-000, Brazil Keywords: Campos, Data analysis, Disturbance, Effect traits, Forage selection, Grassland, Intra-specific variation, Response traits, Vegetation dynamics. Abstract: The question addressed in this paper is whether plant traits and plant functional types related to forage selection by grazers are also related to those expressing short-term community response after grazing. Vegetation of natural campos grassland in south Brazil was examined for species composition and locally described for seven morphological traits before and after a controlled grazing period by bovine cattle. An optimization algorithm was used for the identification of plant functional effect types (PFABT) and plant functional response types (PFHAT) - in this case, groups of plants similar in a given set of traits (assessed before and after one grazing short period, respectively) and in their association to grazing intensity. The results have shown that plant traits optimally defining plant types related to forage selection (PFABTs) were the same traits optimally defining short-term community response to grazing (PFHATs); also similar trends of plant morphological variation were observed among populations before and after grazing, based on the traits’ correlation structure. However, at the community level the correlation vanished, since similar communities described by the performances of PFABTs were not as similar when described by PFHATs. Hence, whether plant functional types related to forage selection (effect types) are also related to community response to grazing may depend on the level of organization considered. The paper advances on the operational definition of possible overlaps between effect and response plant functional types. Abbreviations: BH – Biomass height, GI – Grazing intensity, LS – Leaf surface, LT – Leaf tensile strength, PCA – Principal Component Analysis, PFT – Plant functional type, PFABT – Plant functional effect types, PFHAT – Plant functional response types, RDA – Redundancy Analysis, SL – Senescent leaves, UD – Upper leaf’s density, VP – Vegetative propagation structures, WB – Woody biomass. Nomenclature: The International Plant Names Index web site. Introduction Plant functional types (PFTs) have often been used to describe patterns and processes in plant communities. The differentiation of plant functional response types (PFHAT) and plant functional effect types (PFABT) has been suggested in the literature (e.g., Lavorel and Garnier 2002, Louault et al. 2005). Considering plant functional types as a group of plants that are similar in a given set of traits and similar in their association to certain variables (Pillar and Orlóci 1993, Pillar and Sosinski 2003), PFHAT is assumed as a group of plants with similar responses to a given environmental factor, and PFABT as a group of plants with a similar effect on certain ecosystem variables. In this respect, Lavorel and Garnier (2002) showed that traits associated with response to nutrient gradients strongly overlap with those affecting net primary production, but found little overlap between traits related to response to fire and those affecting flammability. This new approach seems useful for exploring the relationships, which are potentially mechanistic, expressed by traits, between response of vegetation to grazing and the effect of vegetation on 58 forage selection by grazers. No empirical evidence has so far been provided on the existence of these relationships. Vegetation structure and grazing behavior are interconnected and their reciprocal effects are well-known. It is largely demonstrated that grazing animals have selective foraging behavior (Provenza and Balph 1987, Senft et al. 1987, Flores et al. 1989, Senft 1989, Laca and Demment 1991, Boggiano 1995). Besides the inherent differences between plant species, the acceptability by grazers is determined also in the same plant species by the interactions between plant structure (allocation and distribution of aerial biomass) and forage quality (leaf nutrient content). The main factors weighted are specific accessibility limitations on digestive apparatus (O’Reagain 1993), the amount of energy wasted for the intake (O’Reagain and Mentis 1989, Laca and Demment 1991) and the effects on rumen digestibility (Queiroz et.al. 2000). On the other hand, the effects of grazing on vegetation dynamics include changes in sward structure (Díaz et al. 1992, 1999, Landsberg et al. 1999, Lavorel et al. 1999, Sosinski and Pillar 2004, among others) and floristic composition (Belski 1992, Boldrini and Eggers 1997, Pucheta et al. 1998) by the interplay between properties of local disturbance (frequency, intensity and magnitude) and plant competitive interactions. The main factor involved is the presence or absence of physiological strategies and/or morphological structures that avoid defoliation (avoidance), or confer efficiency on sprouting capacity (tolerance) of plants (Briske 1996). In this sense, the complex relationship between grazing behavior and vegetation dynamics could be explained by the interplay between availability of plant phenotypical attractions to grazers and traits that confer competitive advantage to plants under grazing. Furthermore, some plant traits strongly related to forage selection by grazers (defining PFABT) seem to be also related to the vegetation structure developing after grazing (defining PFHAT), i.e., probably, the most grazed plant types have closer relationship to those that are favored after such depletion in plant biomass. In this paper, we verify such relationships between PFABT and PFHAT in short-term community dynamics before and after experimental grazing using a detailed spatial scale and a special method of numerical analysis for the definition of plant types. Methods Study site The study was conducted in a paddock of natural grassland with approximately 3 ha in the Agricultural Research Station of the Federal University of Rio Grande do Blanco et al. Sul (EEA-UFRGS), in Eldorado do Sul, Rio Grande do Sul state, Brazil (30°05’27”S, 51°40’18”W, 45 m a.s.l.). The region is in a transition between tropical and temperate climatic zones, with a Cfa climate type in Koeppen’s classification. The average annual precipitation is 1,445 mm and events of water deficits may occur from November to March (Moreno 1966, Bergamaschi et al. 2003). The paddock had a smooth relief ranging a small valley crossed by a water stream. The vegetation physiognomy was typical of the campos grassland (Pillar and Quadros 1997). Stoloniferous (e.g., Axonopus affinis) or rhizomatous (e.g., Paspalum notatum) prostrated plants, with scattered shrubs (Baccharis spp., Vernonia nudiflora), characterized the top and upper slopes, and tussocks plants (e.g., Andropogon lateralis) the low and humid valley. Before the starting of the study the paddock had been managed with a moderate intensity rotational grazing by bovine cattle and sheep for three years. In order to create the adequate conditions for the experiment, the paddock was intensively grazed by bovine cattle in August 2002 and then left ungrazed until the starting of the experiment in February 2003. The experiment Fourteen permanent rectangular experimental plots of 0.2 m were located systematically in the paddock. Frequently flooded areas as well as a margin of 10 m width from the fence were excluded from the sampling. In February 2003, the area was grazed for 16 days by bovine cattle (54 heifers with an average weight of 226 kg). Stocking rate was adjusted to get an average of 12% forage dry matter on offer (a grazing level of approximately 12 kg of forage dry matter on offer per 100 kg of cattle live weight) using the ‘put and take’ method (Mott and Lucas 1952). In each experimental plot, five 0.2 m × 0.2 m quadrats were examined for plant morphological variations. Here, a community was defined operationally as the plant biomass rooted within the space unit of a quadrat (Palmer and White 1994). The plant populations found in each quadrat were visually estimated for cover percentage and locally described for traits. These evaluations were done twice: six days before the grazing period and 69 days after the grazing period ending. For this study, we defined a population as a group of plants belonging to the same species within a given quadrat and homogeneous for the traits that were evaluated. Plants of the same species but in different quadrats were taken as different populations, that is, the results were affected by intra-specific variation in the traits. Plant functional types and grazing Seven morphological ‘soft’ (easily-measured) traits were evaluated, which are related to plant structure (Altesor et al. 1999, Weiher et al. 1999, Pillar and Sosinski 2003), palatability (assumed here as the same as ‘leaf acceptability’) (O’Reagain and Mentis 1989, O’Reagain 1993, Boggiano 1995), or have been chosen a priori as suspected to be ecologically relevant as response to grazing or by affecting it. The following traits were used: • Woody biomass (WB): visual estimation of the percentage of woody stems (when occurring) on total aerial biomass. • Senescent leaves (SL): visual estimation of the percentage of discolored or dead leaves on photosynthetic biomass. • Biomass height (BH): height measured in centimeters from the soil surface up to the point where most of the leaves were subjectively judged to occur. • Upper leaf’s density (UD): visual estimation of the percentage of leaves above BH. • Vegetative propagation structures (VP): local evaluation for the presence of rhizomes (value 1) or stolons (value 2) in each population of each quadrat. Value 3 was adopted for the absence of such structures. • Leaf surface (LS): evaluation of leaf surfaces, sliding forward and backwards on finger tips. Values are 1 = smooth; 2 = rough; 3 = spiny. • Leaf tensile strength (LT): calculated by the ratio of leaf resistance to traction (R) over leaf area (A), where R is measured with a tensioning device (adapted from Grime et al. 1993) and A is the product of leaf width and leaf cross section, estimated at a middle point of the leaf subjected to traction. For compound leaves, these measurements were performed on a single leaflet. Grazing intensity (GI) (Boggiano 1995) was estimated as the percentage of biomass removed by cattle in each quadrat, calculated by GI = 100 ⋅ a1 − a2 a1 where a and a were successive measures of biomass height. Three evaluations were done: six days before the grazing period, on the 11JD day of grazing activity and on the last day (16JD day) of the grazing period. Those measures were obtained with a thin metal surface (140 g weight) with the same dimensions of the sampling quad- 59 rats sliding on a marked ruler. Stewart et al. (2001) found this a simple and efficient tool for evaluating biomass consumption. Data analysis For better quantifying the contribution of a population in the total aerial biomass, the values of cover percentage (CP) of each population in a quadrat were adjusted considering total aerial biomass (TAB) and total cover percentage of all populations in the quadrat. TAB was visually estimated using a scale of integer values ranging from 1 to 5, reflecting increasing volume of plant tissues coupled with the height of total aerial biomass. In this way, the performance (PA) of each population was calculated as Pe = CP ⋅ TAB . CP ∑ The optimization algorithm described by Pillar and Sosinski (2003) and implemented in software SYNCSA (Pillar 2005) was used for definition of PFTs. In a recursive process the algorithm defined PFTs by polythetic cluster analysis and searched for the most relevant traits, in this case related to grazing. From matrices B of populations by traits and W of performances of these populations in each quadrat (communities), a subgroup of traits most correlated with a matrix E of environmental conditions (grazing intensity in this case) was found by this recursive algorithm. For this, at each step a cluster analysis was applied to a new matrix of populations by a subset of traits extracted from B, and the performances of populations belonging to each group were pooled from W in a consolidated matrix X. The optimal PFTs were defined by the traits and number of group partitions that maximized the measure of congruence, a matrix correlation ρ(D;∆) between compositional dissimilarities (∆) as given by the PFTs’ performances in X, and the dissimilarities (D) of the community sites as given by E. In these procedures, Chord distance was used as resemblance function for compositional dissimilarities, and UPGMA for cluster analysis (for definitions see, e.g., Podani 2000, Legendre and Legendre 1998). It is important to note that since trait description of populations was done locally in each quadrat, populations of the same species but varying morphologically may be settled in different PFTs. Matrix E was a vector of grazing intensity, i.e., the percentage of biomass removed by cattle calculated for each quadrat (as already described). Assuming that the environmental variables can be effects of the PFTs in the studied system or factors to which PFTs are responding (respectively PFABT and PFHAT, Lavorel and Garnier 2002), these two approaches could be explored with the 60 Blanco et al. Table 1. Plant traits and their states numerically defining four plant functional effect types (PFABT). For quantitative traits the values are averages (rounded to the nearest integer) and for qualitative traits they represent the most frequent trait state in the populations grouped in each PFABT. Traits are: BH = biomass height; UD = upper leafs density; WB = woody biomass; SL = senescent leaves; VP = vegetative propagation structures; LS = leaf surface; LT = leaf tensile strength. Optimal traits are in italics. Plant types presence and average performance (Avg. Perf. when present) are also given. same environmental data source but changing B and W and the way E is computed. Therefore, for the definition of PFABT, BAB and WAB included populations evaluated six days before starting the grazing activity, and for the definition of PFHAT, BHA and WHA included vegetation data evaluated 69 days after the grazing period ending. To allow independence on the definition of PFABT and PFHAT, from the 14 plots evaluated, we used a random sample of seven (i.e., 35 quadrats) to search for the PFABT and the remaining ones for the PFHAT. In both analyses, for the calculation of the values in E, a corresponded to the biomass height before grazing (values obtained six days before the grazing period; see explanation of the calculation of GI). But, for the definition of PFHAT the values in E corresponded to grazing intensity calculated for all the grazing period and so used for the last measure (on the last day of the grazing period: 16JD day). For the definition of PFABT the measure on the 11JD day of grazing was used for a since the opportunity for selectivity is reduced as overall biomass declines (Laca and Demment 1991, Boggiano 1995). After the definition of plant types Principal Component Analyses (PCA) were performed for the comparison of populations before and after grazing, through correlations between optimal traits from matrices BAB and BHA, respectively. The matrix correlation ρ(DAB; DHA @) between dissimilarities of quadrats described by PFABT and the same quadrats described by PFHAT was used to assess whether plant functional types related to forage selection by grazers were related to those expressing short-term community response after grazing. To recall, plant populations were estimated for cover percentage and locally described for traits in all quadrats (70, or 14 plots), and in two moments, before (used for definition of PFABT) and after grazing (used for definition of PFHAT). However, different samples were used for the definition of each kind of PFT, as al- ready described. Thus, to make that comparison, it was necessary to allocate in the PFHAT defined by the optimization algorithm the populations evaluated after grazing in the quadrats used for the definition of PFABT. For this identification, we calculated the similarities between the PFHAT and these populations based on the traits (only optimal traits concerning the definition of PFHAT). Each population was then allocated to that PFHAT most similar to. The performances of the aggregated populations within each derived PFHAT were then pooled in matrix XHA @, which in turn defined distance matrix DHA @. The procedure is illustrated in Appendix 1. The significance of the matrix correlation ρ(DAB; DHA @) was assessed by a permutation (Mantel) test. The test used permutations only among plots (sets of five quadrats) in order to avoid the possible effect of spatial autocorrelation. In addition, Redundancy Analysis (Legendre and Legendre 1998) was used to evaluate the relationships between PFHAT and PFABT in describing the same communities. For this, the performances of PFABT in each quadrat (XAB) were taken as explanatory variables and the performances of derived PFHAT in the same quadrats (XHA @) were taken as response variables. Results Plant types related to forage selection by grazers PFABT Before grazing, 363 different populations (representing 57 species) were described in the evaluation of vegetation traits in all 70 quadrats (14 plots). However, recall that only 35 quadrats were considered each time for the definition of the plant types. With a maximum congruence ρ(D;∆) of 0.34, a subgroup of four traits (BH – Biomass height, UD – Upper leaf’s density, WB – Woody biomass, SL – Senescent leaves) defined four plant functional effect types (PFABT) (Table 1). Plant functional types and grazing 61 Table 2. Plant traits and their states numerically defining five plant functional response types (PFHAT) (A) and four derived plant functional response types (derived PFHAT) (B). The definition of four derived PFreT was based on the identification, to the five PFHAT, of more similar populations evaluated after grazing in the quadrats used for definition of PFABT. For quantitative traits the values are averages (rounded to the nearest integer) and for qualitative traits they represent the most frequent trait state in the populations grouped in each PFHAT. In (B) only four plant types were derived because none of the populations evaluated after grazing in the quadrats used for definition of PFABT was allocated to PFHAT-5, which had very low frequency and average performance. Traits are: BH = biomass height; UD = upper leafs density; WB = woody biomass; SL = senescent leaves; VP = vegetative propagation structures; LS = leaf surface; LT = leaf tensile strength. Optimal traits are indicated in italics. Plant types presence and average performance (Avg. Perf.) are also presented. Grouped in PFABT-1 were those populations without woody stems (WB = 0), low percentage of senescent leaves (SL = 17%) and aerial biomass closer to the ground (UD = 30% and BH = 11 cm). The most representative species displaying such morphological aspects were prostrated grasses like Axonopus affinis and Paspalum notatum. Grouped in PFABT-2 were populations with large amounts of senescent leaves but with some woody stems, allowing more accessible arrangement of aerial biomass for foraging (UD = 73%), despite its lower height, like prostrated legumes such as Desmodium incanum. Grazing intensity tended to increase with increasing performance of PFABT-1 and decreasing performance of PFABT-2 (results not shown). Plant types PFABT-3 and PFABT-4 included woody plants and were present in few quadrats. Grouped in PFABT-3 were the tallest plants (BH = 30 cm) with much raised biomass (UD > 60%) (e.g. Baccharis trimera); PFABT-4 included similar but shorter plants (e.g. Pfafia tuberosa). Plant types related to short-term vegetation response to grazing - PFHAT Sixty nine days after the end of the grazing period, 548 populations representing 70 species were recorded in the evaluation of vegetation traits in the 70 quadrats (14 plots). Five plant response types (PFHAT) defined by four optimal traits were found with a maximum congruence ρ(D;∆) of 0.4. Interestingly, these traits have a complete overlap with those optimized on the definition of PFABTs, though based on a different sample (Table 2). Populations without woody stems (WB = 0) were grouped in PFHAT-1 and PFHAT-4. PFHAT-1 included shorter plants with aerial biomass arranged closer to the ground (UD = 22%) and low proportion of senescent leaves. In PFHAT-4 plants were taller, with more erect (UD = 26%) and senescent canopies (SL = 24%). Both plant types were mostly represented by grasses. PFHAT-1 included Axonopus affinis, Paspalum notatum and other grasses such as Piptochaetium montevidense. PFHAT-4 included cespitose grasses like Andropogon lateralis, Agrostis montevidensis and Eragrostis bahiensis. Short plants with some woody biomass but green (low SL) and raised leaves (higher UD) were grouped in PFHAT2 and PFHAT-3. Both plant types were represented by dicots, with more robust ones in PFHAT-3 like Stylosanthes montevidensis and Tibouchina gracilis, and others in PFHAT-2, such as Aspilia montevidensis and Desmodium 62 Blanco et al. Table 3. Redundancy Analysis evaluating the relationships between PFHAT and PFABT in describing the same communities. The analysis was based on 35 quadrats (sampling sites) defined by the composition of four derived PFHAT as response variables and four PFABT as the explanatory variables. Figure 1. Principal Component Analyses of populations by optimal traits matrices, before (A) and after (B) grazing. Populations are indicated by their corresponding plant types as four Plant Functional Effect Types (A) and five Plant Functional Response Types (B). Optimal traits most correlated to the axis are shown near arrows allowing the characterization of plant types. In Figure 1A, optimal traits most correlated to the first axis are woody biomass (0.68), upper leafs density (0.74) and biomass height (0.63); and to the second axis are senescent leaves (-0.88). In Figure 1B, optimal traits most correlated to the first axis are woody biomass (0.66) and upper leafs density (0.73); and to the second axis are senescent leaves (-0.83) and biomass height (0.58). incanum. PFHAT-5 had a very low frequency representing only populations of the shrub Vernonia nudiflora, with high proportion of woody stems (WB = 38%) and senescent leaves (SL = 25%). The performance of PFreT-2 and PFreT-3 tended to increase and of PFreT-1 and PFreT-4 to decrease with increasing grazing intensity (results not shown). Correlation structure in the population by traits matrix Figure 1 depicts the results of Principal Component Analyses carried out to further compare optimal traits’ attributes characterizing populations before (Fig. 1A) and after grazing (Fig. 1B), when grouped as four PFABT and five PFHAT, respectively. Similar trends of variation were observed in both analyses. Most correlated morphological variations were between biomass height and proportion of senescent leaves (Fig. 1A, Fig. 1B. See also Tables 1 and 2). Comparing plant communities described by PFHAT and PFABT The correlation coefficient between community dissimilarities based on the composition of PFABT and derived PFHAT was ρ(DAB;DHA @) = 0.2, which was weak and not significant (P = 0.29). This result indicates that in general quadrats that were more similar by their composition of PFABT did not remain as similar after grazing, when described by derived PFHAT. Table 3 shows the results of Redundancy Analysis carried out to further assess the possible relationship between vegetation composition given by effect types associated to grazing selection (PFABT) and composition given Plant functional types and grazing by response types (PFHAT) associated to grazing intensity. The numerical results show that the sum of all canonical eigenvalues (PFABT) accounts for less than 20% of the variation in response matrix (PFHAT), and that their values are smaller than the first non-canonical ones. The canonical ordination diagram (not shown) was hence non-informative. This suggests that community effects on grazing selection could not explain the overall structure of community response after grazing. Discussion Our results have shown that plant traits optimally defining PFTs related to forage selection (PFABTs) were the same traits optimally defining short-term community response to grazing (PFHATs). Furthermore, similar trends of plant morphological variation were observed among populations before and after grazing, based on the traits’ correlation structure. However, at the community level the correlation vanished, i.e., similar communities described by the performances of PFABTs were not as similar when described by PFHATs. Hence, whether plant functional types related to forage selection (effect types) are also related to community response to grazing may depend on the level of organization considered. These findings suggest we need a better definition of possible overlaps between effect and response plant functional types. Lavorel and Garnier (2002) conceptually examined the problem and proposed the keystone hypothesis that traits can simultaneously explain ecosystem effects and individual plant responses to biotic and abiotic factors. Here we advance on the operational definition for the possible overlaps: (1) An overlap of effect and response traits may exist; (2) if condition (1) holds true, a similar correlation structure may be observed between traits; and (3) a high congruence at the community level may be found, i.e., similar communities described by the performances of PFABTs may be as similar when described by PFHATs. It is important to note that conditions (1) and (2) do not seem essential for condition (3) holding true. That is, even if the plant traits defining PFABTs are not the same traits defining PFHATs, the level of congruence between community similarities based on these effect and response plant types may be high enough for holding condition (3) true. In our results, conditions (1) and (2) were true, whereas (3) was not. While the traits and their correlation structure depicting main trends of plant variation were similar, the way plant types were organized at the community level before and after grazing were not consistent. It remains an open question, however, if the same would be observed under other experimental conditions and scales in time and space. 63 It may be argued that our results are too restricted to short-term changes observed in a small-scale experimental setup. First, we found this method useful to objectively evaluate how effect and response types to grazing would overlap. Second, in order to detect such very short-term responses we had to consider intra-specific trait variation, which includes phenotypic plasticity in the strict sense (morphological changes in the same individual plant) and trait variation between populations of the same species. If the trait description unit were the species, we would not be able to detect effects (Boggiano 1995) nor responses at the same level of congruence. Furthermore, we believe that the short-term trends mostly expressed by intra-specific trait variations may be part of a continuum of change that in the long run would also include species turnover. The very small sampling unit size was necessary to a better control of changes at the bite-scale to maximize the detection of cattle preferences while the five-quadrats aggregated design of the experimental plots was necessary to maximize the capture of the more intensive “foraging zones” around a bite. We now discuss our results regarding possible mechanistic relationships between plant traits and grazing. The more intensively grazed communities were those with higher frequency and performance of PFABT-1, thus preference by grazers was more correlated to low proportions of senescent leaves and absence of woody biomass, from which can be inferred an optimized searching for better forage quality (nutrient maximization). In fact, it is well known that plant structural organization and its constituent tissues influence forage consumption due to its effects on rumen digestibility and specific limitations on digestive apparatus. Higher percentages of structural tissues involve more energy wasted for the intake (O’Reagain and Mentis 1989) and higher proportions of stem contents are inversely related to better accessibility to leaves (O’Reagain 1993). In addition, tissues with cell wall thickened by lignifications cause most of the problems of low utilization of forage energy, requiring more time for rumen digestion and thus leading to lower consumption (Queiroz et.al. 2000). After grazing, the most frequent and with higher performance PFHAT-1 had similar trait values compared to the dominant PFABT-1 in more intensively grazed sites. In other words, biomass attributes that constituted the principal and the most available phenotypical attractions to grazers remained the most important conferring competitive advantage to plants under grazing. It was already suggested that the main strategy acquired by plants in intensively grazed areas is one that reduces grazing severity rather than a grazing tolerance response to aboveground 64 herbivory (Jaramillo and Detling 1988). However, considering a dynamic mosaic under patchy grazing (a selective disturbance), after resprouting forage quality on grazed patches is better than that of the surrounding ungrazed matrix, and as the time passes grazers continue to select the regrowth sites, so the grazed patches diverge further from the ungrazed matrix in terms of forage quality and plant form (Coughenour 1991). 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Web site The International Plant Names Index – http://www.ipni.org [accessed 04 November 2006]. Received July 14, 2006 Revised February 9, 2007 Accepted February 27, 2007 Stewart, K. E. J., N. A. D. Bourn and J. A. Thomas. 2001. An evaluation of three quick methods commonly used to assess sward height in ecology. Journal of Applied Ecology 38: 1148-1154. Appendix 1. The two random samples of plots (each plot is a set of five quadrats) and corresponding data matrices (W) used for the definition of plant functional effect types (PFABT) and plant functional response types (PFHAT). W contains population performances used in PFT optimization (shaded), or populations which were later allocated to existing PFTs (unshaded). For each population or PFT there was a corresponding vector of traits (not shown). X contain PFT pooled performances, for which XAB (after PFABT) and XHA @ (after derived PFHAT) were used for the computation of quadrat distances in matrix correlation ρ(DAB;DHA @), and for Redundancy Analysis. Sample 2 was also evaluated before grazing (not shown) and thus the same procedure could have been used to find ρ(DAB @;DHA).
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