1. Introduction
The Amazon rain forest has been recognized as a major component of the global energy budget and the cycling of carbon, nutrients, and water (Dickinson 1989; Lean and Warrilow 1989; Shukla et al. 1990; Malhi and Grace 2000; Cramer et al. 2004). An emerging consensus points to the Amazonian rain forest as a dynamic ecosystem changing in response to today’s global changes (Phillips et al. 2004). Because of the global significance of this biome, it is important to answer questions such as: Is the Amazon region currently behaving as a source or a sink for atmospheric carbon? And furthermore, how will such behavior change in the future?
To build up the necessary knowledge needed to answer such questions, several studies evaluated measurements and models of carbon fluxes and stocks for a variety of primary forest sites in Amazonia. In summary, such studies involved measurements of carbon dioxide fluxes (Wofsy et al. 1988; Fan et al. 1990; Grace et al. 1995; Malhi et al. 1998; Kuck et al. 2000; Andreae et al. 2002; Araújo et al. 2002; Carswell et al. 2002; Saleska et al. 2003; Chambers et al. 2004; Garcia-Montiel et al. 2004; Goulden et al. 2004; Miller et al. 2004), biomass monitoring (Phillips et al. 1998; Nepstad et al. 2002; Rice et al. 2004;), and modeling of primary productivity (Sellers et al. 1989; Lloyd et al. 1995; McKane et al. 1995; da Rocha et al. 1996; Potter et al. 1998; Raich et al. 1991; Tian et al. 1998; Williams et al. 1998; Asner et al. 2000; Botta and Foley 2002; Chou et al. 2002; Zhan et al. 2003; Santos and Costa 2004). While some studies identified rain forest Amazonian ecosystems as sinks for atmospheric carbon (Grace et al. 1995; Malhi et al. 1998; Phillips et al. 1998; Andreae et al. 2002; Araújo et al. 2002; Carswell et al. 2002), other studies indicate an equilibrium situation or even that these ecosystems are a source of CO2 to the atmosphere (Chou et al. 2002; Saleska et al. 2003; Goulden et al. 2004; Miller et al. 2004; Rice et al. 2004). Such findings point to a large spatial and temporal variability in carbon fluxes, which probably depend more on biology than on micrometeorology (Keller et al. 2004).
The carbon balance of a site depends essentially on rates of two opposing processes: photosynthesis and respiration. Because carbon-balance estimates for Amazonian tropical forest were done with different methods, at different periods, and for different regions, simple comparison of net primary productivity (NPP) provides limited understanding on processes governing regional carbon exchange. For example, net ecosystem exchange (NEE) measurements alone cannot clarify whether or not spatial and temporal variations in carbon fluxes are due to changes in photosynthetic assimilation, respiration, or both (Valentini et al. 2000; Ehleringer et al. 2002). To fulfill such a gap, process-based carbon assimilation models are used to scale up fluxes and provide new understanding necessary to improve carbon budgets (Canadell et al. 2000). Furthermore, predictive power is attained by applying mechanistic interpretations of how vegetation controls fluxes, allowing realistic projection of future and past carbon balance (Collatz et al. 1991; Baldocchi and Harley 1995; Baldocchi et al. 1996; de Pury and Farquhar 1997; Sellers et al. 1997).
To help explain the observed spatial and temporal variations of carbon fluxes in Amazonia, a more complete understanding of canopy-scale carbon assimilation is necessary. While respiratory processes are relatively straightforward and dependent on temperature (metabolism rate) and water availability (microbial activity), photosynthetic carbon assimilation is much more complex and depends on assimilation capacity, canopy structure, and microclimate. Models of leaf-level gas exchange are commonly based on both the biochemical understanding of photosynthetic carbon assimilation (Farquhar et al. 1980), and the environmental and physiological effects on stomatal conductance (Jarvis 1976; Ball et al. 1987). At a given temperature and irradiance, carbon assimilation rates result from the dynamics between carboxilation capacity (Vcmax) and the CO2 concentration at the site of carboxilation. Area-based leaf nitrogen content (Narea) is a fairly easily accessed parameter and scales with Vcmax because a high proportion of the nitrogen present on a leaf is allocated into carbon fixation enzymes (Evans et al. 1989). Furthermore, according to the theory of optimal nutrient allocation (Field and Mooney 1986), this resource is distributed throughout the canopy in proportion to light availability. Finally, the distribution of light within the canopy profile is a result of the leaf distribution. A series of factors (e.g., water, nutrients, energy availability, biological interactions, and local climate) play a role on the establishment of such profiles. Such intimate adjustment of resource allocation, canopy structure, and assimilation rates results from the interaction of the local ecosystem diversity with local climate, making obvious the necessity of parameterization of process-based carbon assimilation models with local data.
The changes observed within the canopy profiles comprise a second class of biological parameters that are essential to scaling leaf-level fluxes to the canopy level, namely, canopy structure (Baldocchi et al. 1996; Weiss et al. 2004). Among the most relevant issues on scaling fluxes up is the adequate representation of canopy light levels and assimilation capacities. Strategies for the representation of the canopy vary ranging from single layer models (big leaf; e.g., Lloyd et al. 1995), sun and shade models (Zhan et al. 2003), and multilayer models (e.g., Williams et al. 1998). The increased complexity of models might improve accuracy of canopy-level carbon assimilation calculations, although it calls for more extensive parameterization.
In this work, we report on studies of canopy structure and leaf properties of the vegetation from the Tapajós National Forest (Flona-Tapajós, Santarém, Federal State of Pará, Brazil), a site representative of eastern Amazon terra firme evergreen primary rain forest ecosystem. For that, we used well-established relationships among canopy structure, leaf chemistry, and gas exchange parameters. The present study is nested into the wide-ranging efforts of the Large-Scale Biosphere–Atmosphere Experiment in the Amazon (LBA), which seeks a better understanding of the interactions between Amazonian ecosystems and the atmosphere. In a sense, the present work provides the tools for computations of gross primary productivity (GPP) and for the evaluation of the biological control exerted by local vegetation over carbon and water fluxes. In an extension of this study we plan to use these data to test the ability to scale leaf-level fluxes to the whole canopy.
2. Methods and materials
2.1. Study site
Primary vegetation from eastern Amazonian lowland tropical rain forest was the focus of this study. Data for characterization of canopy parameters were collected within the Flona-Tapajós, a National Forest reserve of the Brazilian Institute of Environment and Renewable Natural Resources (IBAMA, further information available online at http://www.ibama.gov.br/projetotapajos/). This reserve was established in 1974 between the Tapajós River and the road BR-364 (Cuiabá-Santarém) in the state of Pará, Brazil. Four walk-up towers, which individually composed the four study sites used in this study, granted access to the canopy. The first site contained a 40-m tower and is named here Flona-1. It was located 67 km south of Santarém (2.856 7°S, 54.958 9°W) and corresponds to the LBA mature forest site “Tapajós National Forest km 67” of Keller et al. (Keller et al. 2004). The second and third sites (2.898 33°S, 54.955 83°W), 30 m apart from each other, and named Flona-2.1 and Flona-2.2, were located approximately 10 km from the Flona-1 site, in the control plot of the rain exclusion experiment conducted by the Instituto de Pesquisas Amazônicas (IPAM) and the Woods Hole Research Institute (Nepstad et al. 2002). The towers at this site reached the top of the canopy at a height of about 25 m. Finally, a fourth site named Flona-3 was located 16 km south of Flona-1 site, and corresponds to the LBA mature forest site “Tapajós National Forest km 83” of Keller et al. (Keller et al. 2004). This site underwent selective logging starting February 2001, after our sampling activities, and possessed a tower that reached the canopy at about 30 m.
Information about climate and vegetation for these sites are presented by Ometto et al. (Ometto et al. 2002), Nepstad et al. (Nepstad et al. 2002), da Rocha et al. (da Rocha et al. 2004), and Vieira et al. (Vieira et al. 2004). Briefly, the mean annual precipitation in the Santarém sites is 2207 mm, with a 5-month dry season when precipitation is less than 100 mm (July through November). Air temperature above the canopy varies little throughout the year, with maximum daily temperatures ranging between 24° and 32°C and minimum daily temperatures ranging between 20° and 25°C. Soil water content at a depth of 10 cm typically stays above 0.3 cm3 cm−3 (Goulden et at. 2004). Clay-rich soils (Santarém oxisol) were predominant at this site on plateaus, while soils with increased sand content (Santarém ultisols) occur on slopes and topographic lows (Silver et al. 2000; Telles et al. 2003). In a floristic survey, Vieira et al. (Vieira et al. 2004) reported 460 trees (diameter at breast height > 10 cm) per hectare belonging to 133 species.
2.2. Canopy structure
The accumulation of LAI through the forest canopy profile was determined in June 2003 for the towers on sites Flona-1, Flona-2.1, and Flona-2.2. LAI estimates were derived from differences between simultaneous readings from two LAI-2000 sensors (Li-Cor). One of the sensors was placed fixed at the top of the canopy while the other was carried through the canopy. Measurements of LAI within the canopy profile were taken from the towers every 1.5 m (sites Flona-2.1 and Flona-2.2) or every 2 m (site Flona-1). Because of the nature of tower architecture, measurements were alternately taken from the northwest and southeast. LAI-2000 assumes a random distribution of leaves and cannot distinguish leaf area from nonleaf area (stems and branches); therefore, it measures plant area index (Weiss et al. 2004).
Leaves from all branches within reach from towers were sampled for LMA determinations, totaling 754 samples (Flona-1: 458 leaves from 27 species; Flona-2.1: 97 leaves from 21 species; Flona-2.2: 103 leaves from 25 species; Flona-3: 96 leaves from 14 species). Leaf samples were collected during nine field campaigns as follows: November 1999; March, July, and October 2000; February and September 2001; September 2002; and June–December 2003. For LMA determinations, contours of individual leaves were traced on paper sheets immediately after leaf clipping. Paper sheets with leaf drawings were scanned in the laboratory and the area of individual leaf images was determined with National Institute of Health (NIH)-Image software version 1.6 (available online at http://rsb.info.nih.gov/nih-image/Default.html). The actual leaves collected were taken to the laboratory for weight determination after being dried at 65°C in convection ovens until constant weight.
2.3. Foliage chemistry
Foliar total nitrogen contents were obtained with the elemental analyzer in a mass basis (gN per gram of leaf sample) and multiplied by the correspondent LMA in order to express it on an area basis (gN m−2).
2.4. Leaf-level gas exchange
Photosynthetic assimilation rates at saturating light (Amax), stomatal conductance to water vapor at Amax (gs@Amax), maximum rates of carboxylation (Vcmax), and daytime leaf respiration rates under full darkness (Rd) were measured on 27 plant individuals belonging to 22 species, concomitant to leaf collection for chemical analyses. Gas exchange measurements were taken with a photosynthetic gas exchange system with a red–blue light source and an external CO2 source (model LI-6400, Li-Cor). We limited gas exchange measurements to morning hours (0800 to 1300 LT), to avoid afternoon stomatal closure. On all occasions, leaf area used was equal to 6 cm2. For Amax and gs@Amax determinations (430 in total), conditions inside the chamber were controlled to maintain leaf temperature at 30°C, relative humidity around 80%, CO2 concentrations at the sample cell at 360 mmol mol−1, and saturating levels of photosynthetic active photon flux density (PPFD; 800 μmol m−2 s−1 for understory plants and 1800 μmol m−2 s−1 for mid- and top-canopy species). The biochemical photosynthesis model used in Simple Biosphere Model (SiB2) (Sellers et al. 1996) and widely used in other land surface models (Bonan 2002) was used to obtain Vcmax values from both light and CO2 response curves. This model is based on the approach of Farquhar et al. (Farquhar et al. 1980), modified by Collatz et al. (Collatz et al. 1991). The dependence of carbon assimilation on photosynthetic photon flux density (light response curves, 98 in total) was obtained by 10 stepwise increments in light level, while holding leaf temperature, relative humidity, and ambient CO2 constant. For the determination of the dependence of carbon assimilation on intercellular CO2 concentration (A–ci curves, 77 in total) under saturating light, 10 ambient CO2 levels were used, while holding constant leaf temperature and relative humidity. The response curves (98 A-PPFD curves and 77 A–ci curves) were measure in six species of each of the following plant functional groups top-canopy lianas, top-canopy trees, mid-canopy trees, and understory trees. Measuring time of each response curve spanned between 60 and 90 min.
2.5. Data analyses
Each data point presented in this study represents species averages (n = 1, . . . , 9) for a specific height in the canopy, from individual sampling campaigns. A summary of sample sizes and number of individual plants and plant species used are presented in Table 1. Additional information about this dataset is available online at http://lba.cptec.inpe.br/beija-flor/.
To standardize across sites, height was presented as relative to maximum height. Accordingly, 100% relative height corresponds to 1 m above the uppermost measurement taken from a particular tower (Flona-1 = 41 m, Flona-2.1 and Flona-2.2 = 26 m, Flona-3 = 31 m). For all figures involving canopy profile, relative height was plotted on the y axes for visual clarity. For statistical analyses, however, relative height was considered the independent variable. Linear regressions were used to describe relationships among parameters evaluated. To assess effects of season or site, analysis of covariance was used to establish comparisons among the slopes derived from linear regressions.
3. Results
3.1. Canopy structure
There was a significant relationship between cumulative LAI and canopy height (Figure 1 and Table 3). LAI profiles from Flona-2.2 and Flona-1 had statistically different slopes (F = 13.13, P = 0.001, n = 36), although no difference was detected between Flona-2.1 and Flona-1 (F = 2.86, P = 0.101, n = 33) or between Flona-2.1 and Flona-2.2 (F = 1.0, P = 0.327, n = 29). The increase in LAI with increasing canopy depth occurred significantly faster at the Flona-2.2 site. Total cumulative LAI values at ground level, calculated from the regressions, ranged from 4.5 to 5.9. Because of the significant different patterns observed among the sites, data from each site were plotted individually on Figure 1.
In contrast to LAI patterns, no effect of site (F = 0.308, P = 0.820, n = 122) was detected for the distribution of LMA within the canopy profile (Table 2). Furthermore, no effect of season was detected (F = 0.001, P = 0.978, n = 122). Accordingly, LMA data from all sites were pooled (Figure 2). As a general trend, LMA significantly increased with relative canopy height (Figure 2) and 55% of the variance of LMA could be explained solely by height (Table 3). At the lowest strata, LMA varied from 48 to 90 g m−2, and increased at the top of the canopy, ranging from about 90 to almost 200 g m−2. We observed a greater variation in LMA values both at the top of the canopy and at the understory than in the middle of the canopy.
3.2. Leaf chemistry
We found significant differences in the slopes of linear regressions between Narea and relative canopy height (Table 2). Accordingly, two sets of data are presented in Figure 3, one encompassing data from sites Flona-1 and Flona-3, and another pooling data from sites Flona-2.1 and Flona-2.2. No other combination of site comparisons produced significant differences (Table 2). A comparison between these two groups of pooled data again showed a significant difference in slopes (F = 10.2, P = 0.002, n = 122). Clearly, Narea concentrations were higher at the intermediate canopy strata at Flona-1 and Flona-3 in comparison with Flona-2.1 and Flona-2.2. At the top of the canopy, Narea values were similar between the two sets of data (Figure 3). The Narea concentration varied from approximately 0.8 to 2.0 gN m−2 at ground level increasing to approximately 2.0 to 4.0 gN m−2 at the top of the canopy.
We could not detect any seasonal (F = 0.256, P = 0.614, n = 192) or spatial differences (Table 2) in the slopes of linear regressions between leaf δ13C and relative canopy height. Therefore, all data available were pooled together for the calculation of the linear regression (Figure 4). Approximately 70% of the variance in the foliar δ13C values was explained by the canopy height (Table 4). At the ground level, values varied from approximately −37‰ to −33‰, increasing at the top of the canopy to approximately −31‰ to −26‰, a difference of around 6‰ (Figure 4).
3.3. Leaf-level gas exchange
No effect of season was detected by analyses of covariance on the slopes of the linear regressions between Amax and gs@Amax (F = 0.616, P = 0.435, n = 80) or between Amax and Vcmax (F = 0.0002, P = 0.989, n = 66). Accordingly, no distinction of season was made (Figures 5 and 6). Although we had not enough data from each site to test for differences in slopes among them, we included data from all sites in these analyses to increase species representation. Here, Amax had a significant positive increase with both gs@Amax and Vcmax (Table 4). Approximately 62% of the variation of Amax was explained by gs@Amax, and 74% by Vcmax (Table 4). Measured Amax and gs@Amax ranged from 2.4 to 15.8 μmol CO2 m−2 s−1, and from 0.02 to 0.33 mol H2O m−2 s−1, respectively (Figure 5). Calculated Vcmax ranged from 10.1 to 105.7 μmol CO2 m−2 s−1 (Figure 6).
No seasonal variation in slopes of the linear regressions was detected by analysis of covariance for Narea versus Amax (F = 2.351, P = 0.130, n = 73; Figure 7a); Narea versus Vcmax (F = 0.147, P = 0.703, n = 62; Figure 7b); and Narea versus Rd (F = 0.638, P = 0.428, n = 64; Figure 7c). Again, we had insufficient data to test for site effect, but we included data from all sites to increase species representation. Data without distinction between site and season were grouped together for linear regression analyses (Figure 7 and Table 4). Here, Narea was positively related with Amax, Vcmax, and Rd. The variation in Amax and Vcmax was reasonable explained by Narea concentration (r2 = 0.40 and 0.51, respectively); however, the variance of Rd was poorly explained by either Narea (r2 = 0.23) or Vcmax (r2 = 0.23; Table 4).
4. Discussion
Considering the high species diversity, coupled with the heterogeneity in vegetation formations and climate found within the Amazon basin, the actual ecophysiological characterization of Amazonia vegetation is extremely limited. The requirement of information derived from local vegetation stems from the recognition that distinct ecosystems exhibit differences in the vegetation influence over fluxes, and also that variation can exist on the nature of relationships among drivers and parameters (Bonan 2002). Furthermore, the relationships among parameters and canopy profiles presented in this work allow the parameterization of different kinds of canopy assimilation models (e.g., big leaf or multilayer).
4.1. Canopy structure
Several studies highlighted the importance of describing canopy structure through LAI in carbon balance models (Wang and Jarvis 1990; Cowling and Field 2003; Weiss et al. 2004). Canopy structure causes environmental factors such as light levels, wind, and relative humidity to vary within the canopy profile, mainly due to the sheltering by the increasing LAI with increasing depth inside the canopy (Running and Coughlan 1988; Shuttleworth 1989; Roberts et al. 1990). Besides its relevance, reports of LAI profiles are scarce on the literature (Parker 1995). Although Wirth et al. (Wirth et al. 2001) reported an uneven leaf distribution on the canopy profile of a Panamanian tropical rain forest site, where 50% of leaves were found within the top 5 m of the canopy, Shuttleworth (Shuttleworth 1989) argued that foliage at tropical forests is more evenly distributed with canopy height, when compared to temperate forests. In our case, a strong linear relationship was found between cumulative LAI distribution and relative canopy height at FLONA-Tapajós sites (Figure 1; Table 3), indicating that leaves were evenly distributed in the canopy profile with about 35% being located within the top 10 m of the canopy.
Another component of canopy structure used in models is the variation in leaf anatomy with the canopy profile, frequently expressed as LMA. Details of a leaf anatomy are established during leaf expansion and are dependent on light levels, water stress, nutrient availability, leaf life span, and antiherbivore defense mechanisms (Coley 1983; Reich et al. 1994; Evans and Poorter 2001; Wright et al. 2002). Although LMA can be used to convert area-based into mass-based parameters (Baldocchi and Harley 1995), Reich et al. (Reich et al. 1998) argues that LMA by itself influences the slope of the relationship between Amax and Narea. If that is a general rule, then the variety of factors influencing LMA will also be reflected in Amax, further increasing the variability of physiological control over carbon fluxes. On a study concerning a forest with LAI at ground level of about 5.5, but with a short dry season (Manaus, Brazil), Carswell et al. (Carswell et al. 2000) observed a slope between LMA and relative height (LMA = 65.7 + 0.61 × relative height) similar to ours (Table 3), although the range of values observed were smaller. Our data revealed a considerable scatter of LMA values on the understory, similar to a pattern found for a French Guiana primary tropical rain forest (Rijkers et al. 2000). Such pattern indicates that factors that influence the increase of LMA with canopy height (e.g., water stress, higher light levels) might be different for understory plants (e.g., defense against herbivory).
4.2. Leaf chemistry
The Narea values obtained from this study at the Flona-Tapajós sites (Figure 3) fall within the observed range (0.8 to 4.5 gN m−2) for Amazonia primary vegetation (Reich et al. 1991; Reich et al. 1994; Lloyd et al. 1995; Williams et al. 1998; Carswell et al. 2000; Meir and Grace 2002). We observed significant differences in the distribution of Narea within the canopy profile among some of the sites evaluated in this study (Figure 3); Narea values increased with canopy height faster at the sites Flona-2.1 and Flona-2.2, when compared to the LBA sites (Flona-1 and Flona-3). Apparently, midcanopy vegetation from LBA sites had higher Narea values than sites Flona-2.1 and Flona-2.2 (Figure 3). Such differences were partially associated with the relative contribution of legume trees to the Narea within the canopy profiles. Legume trees from tropical rain forest commonly have higher nitrogen concentration in their leaves (Vitousek et al. 2002; Martinelli et al. 2000) when compared to other plants. The high Narea values found at the middle of the canopy for the Flona-1 correspond to samples taken from the legume tree Sclerolobium paraense Huber, while high values of at the top of the canopy of the Flona-2.1 site correspond to samples obtained from another legume tree (Tachigali myrmecophila Ducke). Because the dominance by plant families varies across the Amazon basin (Vieira et al. 2004), the total amount and distribution of Narea within the canopy profile can vary, even without variation in soil nitrogen availability.
The characteristic negative values of foliar δ13C arrives from fractionation steps during photosynthetic carbon fixation, when atmospheric CO2 molecules containing 12C atoms are assimilated in preference to molecules containing 13C atoms (Farquhar et al. 1989). The balance between demand (assimilation rates) and supply (stomatal conductance) of CO2 determines the extent of such discrimination (Farquhar et al. 1989). Although refixation of biogenic CO2 potentially complicates interpretation of leaf δ13C values, this influence is expected only to be significant in the understory of forests with closed canopies (1 to 5 m from the ground for tropical forests; Sternberg et al. 1989; Buchmann et al. 2002; Ometto et al. 2002). The combination of high PPFD and high assimilation capacity found at the top of the canopy results in low ci values and, consequentially, higher δ13C. In contrast, the more negative values of leaf δ13C found with increasing canopy depth are associated with decreasing ratio of assimilation capacity to stomatal conductance and lower light levels (Flanagan et al. 1997), and modest influence of refixation of respired CO2 (Ometto et al. 2002). Bonal et al. (Bonal et al. 2000) reported a large variation of δ13C values of sunlit leaves (ranging from −27.5 ‰ to −34.7 ‰) occurring at three tropical forest sites from French Guiana. A similar range was reported by Martinelli et al. (Martinelli et al. 1998) for a primary forest site from Ecological Reserve of Samuel (Rondônia State, Brazil), although that analysis involved leaves collected from several heights within the canopy profile. Our top canopy δ13C leaf values were more negative compared to what was reported by Martinelli et al. (Martinelli et al. 1998) and Kruijt (Kruijt 1996) (Reserva Jarú, Rondônia State, Brazil), but agreed with δ13C leaf values also from French Guiana presented by Buchmann et al. (Buchmann et al. 1997). Ometto et al. (Ometto et al. 2002) compared the distribution of leaf δ13C values with canopy height for three Amazonian sites and concluded that the forest at Reserva Jarú had a different slope compared to those obtained from Santarém and Manaus. The Reserva Jarú site had the longest dry season when compared to Manaus and Santarém sites. The relationship established between leaf δ13C values and relative canopy height for this study (Table 3) compared well with data from Buchmann et al. (Buchmann et al. 1997; δ13C = −34.78 + 0.06 × relative height) and Martinelli et al. (Martinelli et al. 1998; δ13C = −33.3 + 0.03 × relative height). As with our study, Buchmann et al. (Buchmann et al. 1997) did not detect any effect of season on foliage δ13C values.
4.3. Leaf-level gas exchange
By actively regulating gs, plants are able to adjust the supply of CO2 in order to match photosynthetic demand while minimizing water loss by transpiration (Wong et al. 1979; Collatz et al. 1991; Jones 1998; Farquhar et al. 1989). On the onset of water stress, stomata closes and gs is reduced, therefore limiting photosynthetic carbon assimilation. Concerning the slopes of the linear regression between Amax and gs@Amax, no statistical differences were detected between wet and dry season dataset, indicating that drought has little or no influence over the Amax versus gs@Amax relationship. Compared to the data reported in this study, McWilliam et al. (McWilliam et al. 1996) observed higher gs values for a tropical rain forest site with a longer dry season (Reserva Jarú), although associated with considerably lower A values, describing a noticeably lower slope for the A versus gs regression. On the other hand, values of A and gs presented by Carswell et al. (Carswell et al. 2000) were somewhat lower than the ones presented in this study and no relationship between A and gs was established. Although most of the variation in gs can be explained by A, factors such as vapor pressure deficit, low soil water content, and CO2 concentrations might change this relationship (Ball et al. 1987; Aphalo and Jarvis 1993).
Since Vcmax scales to the amount of activated RUBISCO enzyme present on a given leaf, a tight relationship is observed between Vcmax and Amax (Farquhar et al. 1980; Evans 1989). da Rocha et al. (da Rocha et al. 1996) utilized an optimized value of Vcmax equal to 81.8 μmol CO2 m−2 s−1, very similar to our top-canopy values (Figure 6), while other models used somewhat lower values (SSiB model: Zhan et al. 2003; Vcmax = 60 μmol CO2 m−2 s−1; Simple Tropical Ecosystem model (SITE): Santos and Costa 2004; Vcmax = 75 μmol CO2 m−2 s−1; Lloyd et al. 1995; Vcmax = 68 μmol CO2 m−2 s−1). Carswell et al. (Carswell et al. 2000) reported even lower top-canopy values (Vcmax = 43 μmol CO2 m−2 s−1) for an Amazon primary forest site close to Manaus, Brazil. Besides the possible temporal and spatial variability of Vcmax values, our ability to compare such results is further limited by the different strategies used to derive Vcmax values.
4.4. Leaf nitrogen and gas exchange
It is generally accepted that foliar nitrogen concentration is the most important factor determining leaf-level carbon fluxes, given that no severe water stress is present (Field and Mooney 1986). The Narea is proportional to assimilation capacity because a large fraction of the total leaf nitrogen is used on the photosynthetic machinery (Evans 1989; Friend 1991). Furthermore, the metabolism involved in protein turnover establishes the relationship between foliar nitrogen levels and respiration rates. A more thorough understanding is still needed on the influence of LMA over both Narea and Amax parameters (Reich et al. 1994; Meir et al. 2001). For example, Reich et al. (Reich et al. 1994) found for the particular case of undisturbed terra firme forest, that relationship between leaf nitrogen and photosynthetic carbon assimilation were tighter when parameters were expressed on an area basis, while tight correlations are more frequently found when parameters are expressed on a mass basis (Schulze et al. 1994). The regression found between Narea and Vcmax for our dataset was stronger than the one found between Narea and Amax (Table 4), probably because Amax is also a function of other factors (Ball et al. 1997; Aphalo and Jarvis 1993). Compared to this study, Carswell et al. (Carswell et al. 2000) reported a lower slope from the regression between Narea and Vcmax for the Manaus primary forest, indicating that although leaves from that forest had nitrogen contents similar to those found for the Santarém sites, the photosynthetic carbon assimilation capacity was lower. Wilson et al. (Wilson et al. 2000) demonstrated that, at least for a deciduous forest, temporal variations in Vcmax could occur without simultaneous changes in Narea. This could be a reason for the lower values of Vcmax observed by Carswell et al. (Carswell et al. 2000) since that analysis was based on measurements taken from November 1996, just before the start of the wet season.
The linear regression obtained between Narea and Rd was weak, although statistically significant (Table 4). Meir et al. (Meir et al. 2001), studying the primary forest vegetation from Reserva Jarú, also presented a weak coefficient of linear regression between these parameters (r2 = 0.29). That dataset produced a lower slope, with Rd values rarely being over 1.0 μmol CO2 m−2 s−1, although respiration values were scaled to a lower temperature (25°C).
5. Conclusions
Since the nature of relationships between parameters and drivers can change among ecosystems, the understanding of such changes is of fundamental importance for the correct parameterization of a process-based model. The lack of effects of season observed for the relationships presented in this work indicates little or no acclimation of gas exchange plant physiological parameters occurs over the dry (or wet) season. Therefore, observed seasonal variations in NEE may be better explained by variations in climatic conditions or ecosystem-level respiration, rather than variations in photosynthetic carbon assimilation. Differences among sites concerning Narea indicate that species composition, especially legume trees, can influence nitrogen distribution within the canopy profile, and partially explain differences in drivers–parameters interactions among distinct primary forest ecosystems. Finally, the finding that leaves are distributed evenly within the canopy profile provides a simplification in modeling light distribution within the canopy profile for the Flona-Tapajós primary forest vegetation.
Acknowledgments
We like to express our gratitude to folks at the LBA-ECO Santarém office for making field work an even better experience. We are also grateful to Diane Almeida and Haroldo Jackson for great assistance in field. We recognize the wonderful support given by Plínio Camargo, Marcelo Moreira, and Edmar Mazzi at the CENA laboratories. Bob Haxo helped with curve fitting procedures. Two anonymous reviewers contributed to the final version of this manuscript. Financial support for this work was provided partially by a research grant from NASA LBA-Ecology to J.R.E., L.B.F., and L.A.M and partially by a research grant to J.R.E., J.A.B., and L.A.M.
REFERENCES
Andreae, M. O. Coauthors 2002. Biogeochemical cycling of carbon, water, energy, trace gases, and aerosols in Amazonia: The LBA-EUSTACH experiments. J. Geophys. Res. 107.8066, doi:10.1029/2001JD000524.
Aphalo, P. J. and P. G. Jarvis. 1993. An analysis of Ball’s empirical model of stomatal conductance. Ann. Bot. 72:321–327.
Araújo, A. C. Coauthors 2002. Comparative measurements of carbon dioxide fluxes from two nearby towers in a central Amazonian rainforest: The Manaus LBA site. J. Geophys. Res. 107.8090, doi:10.1029/2001JD000676.
Asner, G. P., A. R. Townsend, and B. H. Braswell. 2000. Satellite observation of El Niño effects on Amazon forest phenology and productivity. Geophys. Res. Lett. 27:981–984.
Baldocchi, D. D. and P. C. Harley. 1995. Scaling carbon dioxide and water vapour exchange from leaf to canopy in a deciduous forest. II. Model testing and application. Plant Cell Environ. 18:1157–1173.
Baldocchi, D., R. Valentini, S. Running, W. Oechel, and R. Dahlman. 1996. Strategies for measuring and modelling carbon dioxide and water vapour fluxes over terrestrial ecosystems. Global Change Biol. 2:159–168.
Ball, J. T., I. E. Woodrow, and J. A. Berry. 1987. A model predicting stomatal conductance and its contribution to the control of photosynthesis under different environmental conditions. Progress in Photosynthesis Research: Proeedings of the International Congress on Photosynthesis, Vol. 4, J. Biggins, Ed., Kluwer, 221–228.
Bonal, D., D. Sabatier, P. Montpied, D. Tremeaux, and J. M. Guehl. 2000. Interspecific variability of δ13C among trees in rainforests of French Guiana: Functional groups and canopy integration. Oecologia 124:454–468.
Bonan, G. 2002. Ecological Climatology: Concepts and Applications. Cambridge University Press, 678 pp.
Botta, A. and J. A. Foley. 2002. Effects of climate variability and disturbances on the Amazonian terrestrial ecosystems dynamics. Global Biogeochem. Cycles 16.1070, doi:10.1029.2000GB001338.
Buchmann, N., J-M. Guehl, T. S. Barigah, and J. R. Ehleringer. 1997. Interseasonal comparison of CO2 concentrations, isotopic composition, and carbon dynamics in an Amazonian rainforest (French Guiana). Oecologia 110:120–131.
Buchmann, N., J. R. Brooks, and J. R. Ehleringer. 2002. Predicting daytime carbon isotope ratios of atmospheric CO2 within forest canopies. Funct. Ecol. 16:49–57.
Canadell, J. G. Coauthors 2000. Carbon metabolism of the terrestrial biosphere: A multitechnique approach for improved understanding. Ecosystems 3:115–130.
Carswell, F. E. Coauthors 2000. Photosynthetic capacity in a central Amazonian rain forest. Tree Physiol. 20:179–186.
Carswell, F. E. Coauthors 2002. Seasonality in CO2 and H2O flux at an eastern Amazonian rain forest. J. Geophys. Res. 107.8076, doi:10.1029/2000JD000284.
Chambers, J. Q. Coauthors 2004. Respiration from a tropical forest ecosystem: Partitioning of resources and low carbon use efficiency. Ecol. Appl. 14:S72–S88.
Chou, W. W., S. C. Wofsy, R. C. Harriss, J. C. Lin, C. Gerbig, and G. W. Sachse. 2002. Net fluxes of CO2 in Amazonia derived from aircraft observations. J. Geophys. Res. 107.4614, doi:10.1029/2001JD001295.
Coley, P. D. 1983. Herbivory and defensive characteristics of tree species in a lowland tropical forest. Ecol. Monogr. 53:209–233.
Collatz, G. J., J. T. Ball, C. Grivet, and J. A. Berry. 1991. Physiological and environmental regulation of stomatal conductance, photosynthesis and transpiration: A model that includes a laminar boundary layer. Agric. For. Meteor. 54:107–136.
Cowling, S. A. and C. B. Field. 2003. Environmental control of leaf area production: Implications for vegetation and land-surface modeling. Global Biogeochem. Cycles 17.1007, doi:10.1029/2002GB001915.
Cramer, W., A. Bondeau, S. Schaphoff, W. Lucht, B. Smith, and S. Sitch. 2004. Tropical forests and the global carbon cycle: Impacts of atmospheric carbon dioxide, climate change and rate of deforestation. Philos. Trans. Roy. Soc. London 359B:331–343.
da Rocha, H. R., P. J. Sellers, G. J. Collatz, I. R. Wright, and J. Grace. 1996. Calibration and use of SiB2 model to estimate water vapour and carbon exchange at the ABRACOS forest sites. Amazonia Deforestation and Climate, J. H. C. Gash et al., Eds., John Wiley & Sons, 459–472.
da Rocha, H. R., M. L. Goulden, S. D. Miller, M. C. Menton, L. D. V. O. Pinto, H. C. de Freitas, and A. M. S. Figueira. 2004. Seasonality of water and heat fluxes over a tropical forest in eastern Amazonia. Ecol. Appl. 14:S22–S32.
de Pury, D. G. G. and G. D. Farquhar. 1997. Simple scaling of photosynthesis from leaves to canopies without the errors of big-leaf models. Plant Cell Environ. 20:537–557.
Dickinson, R. E. 1989. Implications of tropical deforestation for climate: A comparison of model and observational descriptions of surface energy and hydrological balance. Philos. Trans. Roy. Soc. London Ser. 324B:423–429.
Ehleringer, J. R., D. R. Bowling, L. B. Flanagan, J. Fessenden, B. Helliker, L. A. Martinelli, and J. P. Ometto. 2002. Stable isotopes and carbon cycle processes in forests and grasslands. Plant Biol. 4:181–189.
Evans, J. R. 1989. Photosynthesis and nitrogen relationships in leaves of C3 plants. Oecologia 78:9–19.
Evans, J. R. and H. Poorter. 2001. Photosynthetic acclimation of plants to growth irradiance: The relative importance of specific leaf area and nitrogen partitioning in maximizing carbon gain. Plant Cell Environ. 24:755–767.
Fan, S-M., S. C. Wofsy, P. S. Bakwin, D. J. Jacob, and D. R. Fitzjarrald. 1990. Atmosphere–biosphere exchange of CO2 and O3 in the central Amazon forest. J. Geophys. Res. 95:16851–16864.
Farquhar, G. D., S. von Caemmerer, and J. A. Berry. 1980. A biochemical model of photosynthetic CO2 assimilation in leaves of C3 species. Planta 149:78–90.
Farquhar, G. D., J. R. Ehleringer, and K. T. Hubick. 1989. Carbon isotope discrimination and photosynthesis. Annu. Rev. Plant Phys. Plant Mol. Biol. 40:503–537.
Field, C. B. and H. A. Mooney. 1986. The photosynthesis–nitrogen relationship in wild plants. On the Economy of Plant Form and Function, T. J. Givnish, Ed., Cambridge University Press, 25–55.
Flanagan, L. B., C. S. Cook, and J. R. Ehleringer. 1997. Unusually low carbon isotope ratios in plants from hanging gardens in southern Utah. Oecologia 111:481–489.
Friend, A. D. 1991. Use of a model of photosynthesis and leaf microenvironment to predict optimal stomatal conductance and leaf nitrogen partitioning. Plant Cell Environ. 14:895–905.
Garcia-Montiel, D. C. Coauthors 2004. Emissions of N2O and CO2 from terra firme forests in Rôndonia, Brazil. Ecol. Appl. 14:S214–S220.
Goulden, M. L., S. D. Miller, H. R. da Rocha, M. C. Menton, H. C. de Freitas, A. Me S. Figueira, and C. A. D. de Souza. 2004. Diel and seasonal patterns of tropical forest CO2 exchange. Ecol. Appl. 14:S42–S54.
Grace, J. Coauthors 1995. Carbon dioxide uptake by an undisturbed tropical rain forest in southwest Amazonia, 1992 to 1993. Science 270:778–780.
Jarvis, P. G. 1976. The interpretation of the variations in leaf water potential and stomatal conductance found in the field. Philos. Trans. Roy. Soc. London 273B:593–610.
Jones, H. G. 1998. Stomatal control of photosynthesis and transpiration. J. Exp. Bot. 49:387–398.
Keller, M. Coauthors 2004. Ecological research in the large-scale biosphere–atmosphere experiment in Amazonia: Early results. Ecol. Appl. 14:S3–S16.
Kruijt, B. 1996. Sources and sinks of CO2 in Rondônia tropical rainforest. Amazonia Deforestation and Climate, J. H. C. Gash et al., Eds., John Wiley & Sons, 331–352.
Kuck, L. R. Coauthors 2000. Measurements of landscape-scale fluxes of carbon dioxide in the Peruvian Amazon by vertical profiling through the atmospheric boundary layer. J. Geophys. Res. 105:22137–22146.
Lean, J. and D. A. Warrilow. 1989. Simulation of the regional climatic impact of Amazon deforestation. Nature 342:411–413.
Lloyd, J. Coauthors 1995. A simple calibrated model of Amazon rainforest productivity based on leaf biochemical properties. Plant Cell Environ. 18:1129–1145.
Malhi, Y. and J. Grace. 2000. Tropical forest and atmospheric carbon dioxide. Trends Ecol. Evol. 15:332–337.
Malhi, Y., A. D. Nobre, J. Grace, B. Kruijt, M. G. P. Pereira, A. Culf, and S. Scott. 1998. Carbon dioxide transfer over a Central Amazonian rain forest. J. Geophys. Res. 103:31593–31612.
Martinelli, L. A., S. Almeida, I. F. Brown, M. Z. Moreira, R. L. Victoria, L. S. L. Sternberg, C. A. C. Ferreira, and W. W. Thomas. 1998. Stable carbon isotope ratio of tree leaves, boles and fine litter in a tropical forest in Rondônia, Brazil. Oecologia 114:170–179.
Martinelli, L. A., S. Almeida, I. F. Brown, M. Z. Moreira, R. L. Victoria, S. Filoso, C. A. C. Ferreira, and W. W. Thomas. 2000. Variation in nutrient distribution and potential nutrient losses by selective logging in a humid tropical forest of Rondonia, Brazil. Biotropica 32:597–613.
McKane, R. B., E. B. Rastetter, J. M. Melillo, G. R. Shaver, C. S. Hopkinson, D. N. Fernandes, D. L. Skole, and W. H. Chomentowski. 1995. Effects of global change on carbon storage in tropical forests of South America. Global Biogeochem. Cycles 9:329–350.
McWilliam, A-L. C., O. M. R. Cabral, B. M. Gomes, and J. L. Esteves. 1996. Forest and pasture leaf-gas exchange in south-west Amazonia. Amazonia Deforestation and Climate, J. H. C. Gash et al., Eds., John Wiley & Sons, 265–286.
Meir, P. and J. Grace. 2002. Scaling relationships for woody tissue respiration in two tropical rain forests. Plant Cell Environ. 25:963–97.
Meir, P., J. Grace, and A. C. Miranda. 2001. Leaf respiration in two tropical rainforests: Constraints on physiology by phosphorus, nitrogen and temperature. Funct. Ecol. 15:378–387.
Miller, S. D., M. L. Goulden, M. C. Menton, H. R. da Rocha, H. C. de Freitas, A. M. E. S. Figueira, and C. A. D. de Souza. 2004. Biometric and micrometeorological measurements of tropical forest carbon balance. Ecol. Appl. 14:S114–S126.
Nepstad, D. C. Coauthors 2002. The effects of partial throughfall exclusion on canopy processes, aboveground production, and biogeochemistry of an Amazon forest. J. Geophys. Res. 107.8085, doi:10.1029/2001JD000360.
Ometto, J. P. H. B., L. B. Flanagan, L. A. Martinelli, M. Z. Moreira, N. Higuchi, and J. R. Ehleringer. 2002. Carbon isotope discrimination in forest and pasture ecosystems of the Amazon Basin, Brazil. Global Biogeochem. Cycles 16.1109, doi:10.1029/2001GB001462.
Parker, G. G. 1995. Structure and microclimate of forest canopies. Forest Canopies: A Review of Research on a Biological Frontier, Vol. 4, M. Lowman and N. Nadkarni, Eds., Academic Press, 73–106.
Phillips, O. L. Coauthors 1998. Changes in the carbon balance of tropical forests: Evidence from long-term plots. Science 282:439–442.
Phillips, O. L. Coauthors 2004. Pattern and process in Amazon tree turnover, 1976–2001. Philos. Trans. Roy. Soc. London 359B:381–407.
Potter, C. S., E. A. Davidson, S. A. Klooster, D. C. Nepstad, G. H. de Negreiros, and V. Brooks. 1998. Regional application of an ecosystem production model for studies of biogeochemistry in Brazilian Amazonia. Global Change Biol. 4:315–333.
Raich, J. W. Coauthors 1991. Potential net primary productivity in South America: Application of a global model. Ecol. Appl. 1:399–429.
Reich, P. B., C. Uhl, M. B. Walters, and D. S. Ellsworth. 1991. Leaf lifespan as a determinant of leaf structure and function among 23 Amazonian tree species. Oecologia 86:16–24.
Reich, P. B., M. B. Walters, D. S. Ellsworth, and C. Uhl. 1994. Photosynthesis–nitrogen relations in Amazonian tree species. I. Patterns among species and communities. Oecologia 97:62–72.
Reich, P. B., D. S. Ellsworth, and M. B. Walters. 1998. Leaf structure (specific leaf area) modulates photosynthesis–nitrogen relations: Evidence from within and across species and functional groups. Funct. Ecol. 12:948–958.
Rice, A. H. Coauthors 2004. Carbon balance and vegetation dynamics in an old-growth Amazonian forest. Ecol. Appl. 14:S55–S71.
Rijkers, T., T. L. Pons, and F. Bongers. 2000. The effect of tree height and light availability on photosynthetic leaf traits of four neotropical species differing in shade tolerance. Funct. Ecol. 14:77–86.
Roberts, J., O. M. R. Cabral, and L. F. de Aguiar. 1990. Stomatal and boundary-layer conductances in an Amazonian terra firme rain forest. J. Appl. Ecol. 27:336–353.
Running, S. W. and J. C. Coughlan. 1988. A general model of forest ecosystem processes for regional applications. I. Hydrologic balance, canopy gas exchange and primary production processes. Ecol. Model. 42:125–154.
Saleska, S. R. Coauthors 2003. Carbon in Amazon forests: Unexpected seasonal fluxes and disturbance-induced losses. Science 302:1554–1557.
Santos, S. N. M. and M. H. Costa. 2004. A simple tropical ecosystem model of carbon, water and energy fluxes. Ecol. Model. 176:291–312.
Schulze, E-D., F. M. Kelliher, C. Körner, J. Lloyd, and R. Leuning. 1994. Relationships among maximum stomatal conductance, ecosystem surface conductance, carbon assimilation rate, and plant nitrogen nutrition: A global ecology scaling exercise. Annu. Rev. Ecol. Syst. 25:629–660.
Sellers, P. J., W. J. Shuttleworth, and J. L. Dorman. 1989. Calibrating the simple biosphere model for Amazonian tropical forest using field and remote sensing data. Part I: Average calibration with field data. J. Appl. Meteor. 28:727–759.
Sellers, P. J. Coauthors 1996. A revised land surface parameterization (SiB2) for atmospheric GCMs. Part I: Model formulation. J. Climate 9:676–705.
Sellers, P. J. Coauthors 1997. Modeling the exchanges of energy, water, and carbon between continents and the atmosphere. Science 275:502–509.
Shukla, J., C. Nobre, and P. Sellers. 1990. Amazon deforestation and climate change. Science 247:1322–1325.
Shuttleworth, W. J. 1989. Micrometeorology of temperate and tropical forest. Philos. Trans. Roy. Soc. London 324B:299–331.
Silver, W. L., J. Neff, M. McGroddy, E. Veldkamp, M. Keller, and R. Cosme. 2000. Effects of soil texture on belowground carbon and nutrient storage in a lowland Amazonian forest ecosystem. Ecosystems 3:193–209.
Sternberg, Lda S. L., S. S. Mulkey, and S. J. Wright. 1989. Ecological interpretation of leaf carbon isotope ratios: Influence of respired carbon dioxide. Ecology 70:1317–1324.
Telles, Ede C. C., P. B. de Camargo, L. A. Martinelli, S. E. Trumbore, E. S. da Costa, J. Santos, N. Higuchi, and R. C. Oliveira Jr.. 2003. Influence of soil texture on carbon dynamics and storage potential in tropical forest soils of Amazonia. Global Biogeochem. Cycles 17.1040, doi:10.1029/2002GB001953.
Tian, H., J. M. Melillo, D. W. Kicklighter, A. D. McGuire, J. V. K. Helfrich III, B. Moore III, and C. J. Vörösmarty. 1998. Effect of interannual climate variability on carbon storage in Amazonian ecosystems. Nature 396:664–667.
Valentini, R. Coauthors 2000. Respiration as the main determinant of carbon balance in European forests. Nature 404:861–865.
Vieira, S. Coauthors 2004. Forest structure and carbon dynamics in Amazonian tropical rain forests. Oecologia 140:468–479.
Vitousek, P. M. Coauthors 2002. Towards an ecological understanding of biological nitrogen fixation. Biogeochemistry 57/58:1–45.
Wang, Y. P. and P. G. Jarvis. 1990. Description and validation of an array model—MAESTRO. Agric. For. Meteor. 51:257–280.
Weiss, M., F. Baret, G. J. Smith, I. Jonckheere, and P. Coppin. 2004. Review of methods for in situ leaf area index (LAI) determination. Part II. Estimation of LAI, errors and sampling. Agric. For. Meteor. 121:37–53.
Williams, M., Y. Malhi, A. D. Nobre, E. B. Rastetter, J. Grace, and M. G. P. Pereira. 1998. Seasonal variation in net carbon exchange and evapotranspiration in a Brazilian rain forest: A modelling analysis. Plant Cell Environ. 21:953–968.
Wilson, K. B., D. D. Baldocchi, and P. J. Hanson. 2000. Spatial and seasonal variability of photosynthetic parameters and their relationship to leaf nitrogen in a deciduous forest. Tree Physiol. 20:565–578.
Wirth, R., B. Weber, and R. J. Ryel. 2001. Spatial and temporal variability of canopy structure in a tropical moist forest. Acta Oecol. 22:235–244.
Wofsy, S. C., R. C. Harriss, and W. A. Kaplan. 1988. Carbon dioxide in the atmosphere over the Amazon Basin. J. Geophys. Res. 93:1377–1387.
Wong, S. C., I. R. Cowan, and G. D. Farquhar. 1979. Stomatal conductance correlates with photosynthetic capacity. Science 282:424–426.
Wright, I. J., M. Westby, and P. B. Reich. 2002. Convergence towards higher leaf mass per area in dry and nutrient-poor habitats has different consequences for leaf life span. J. Ecol. 90:534–543.
Zhan, X., Y. Xue, and G. J. Collatz. 2003. An analytical approach for estimating CO2 and heat fluxes over the Amazonian region. Ecol. Model. 162:97–117.
Summary of parameters evaluated, sampling efforts, and plant species representation.
Intersite similarities evaluated by statistical comparison (P values) of slopes resulting from linear regression between parameter (LAI, LMA, Narea, and δ13C) and relative height considering the effect of site for primary forest vegetation from Flona-Tapajós, Brazil. Alpha = 0.05.
Linear regressions between relative height (%) and both canopy structure and leaf chemistry parameters, derived from data collected at four FLONA-Tapajós primary forest sites without distinction of season of the year. Dependent variable = Intercept + Slope × (Relative Height).
Linear regressions among photosynthetic gas exchange parameters and leaf chemistry derived from data collected at four FLONA-Tapajós primary forest sites without distinction of season of the year. Dependent variable = Intercept + Slope × (Independent Variable).