Published online 3 August 2006
Published in Soil Sci Soc Am J 70:1489-1503 (2006)
DOI: 10.2136/sssaj2005.0216
© 2006 Soil Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
Review & Analyses
Maize Root Biomass and Net Rhizodeposited Carbon
An Analysis of the Literature
B. Amos and
D. T. Walters*
University of Nebraska-Lincoln, Department of Agronomy and Horticulture, Lincoln, NE 68583-0915
* Corresponding author (dwalters1{at}unl.edu)
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ABSTRACT
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Assessment of net primary productivity of maize (Zea mays L.)-based agroecosystems is dependent on both above and belowground dry matter production that is ultimately returned to the soil as residue and decaying roots. Root to shoot ratio (R/S) is a parameter often used to estimate root biomass (RB) when shoot biomass is measured or estimated. The labor intensive nature of root sampling and wide variety of sampling techniques has lead to a paucity of maize RB data in the literature, and few researchers have endeavored to characterize R/S throughout an entire growing season. In this paper, the results of 45 maize root studies published in 41 journal articles are summarized and the data used to generate estimates of maize RB and R/S versus days after emergence (DAE). The data from these studies indicate that on average, RB was maximized just after anthesis at approximately 31 g plant1 (13.6 g C plant1) and that average R/S varied from a high of 0.68 at emergence to a low of 0.16 at physiological maturity. Net rhizodeposited C as a percentage of total net root-derived belowground C at time of sampling (%NRC) was reported for 12 maize studies and varied between 5 and 62%. The wide variation in the %NRC was shown to be highly correlated with an index combining irradiance level, photoperiod, and ambient temperature, suggesting a strong dependence of net rhizodeposited C on rate of photosynthesis and soil respiration. The net belowground C deposition at maize physiological maturity is estimated as 29 ± 13% of shoot biomass C for maize that has not experienced stress.
Abbreviations: DAE, days after emergence GDD, growing degree days HI, harvest index %NRC, net rhizodeposited carbon expressed as percentage of total net root-derived carbon PPFD, photosynthetic photon flux density PAR, photosynthetically active radiation R/S, root to shoot ratio RB, root biomass SOC, soil organic carbon
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INTRODUCTION
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WORLDWIDE PRODUCTION of maize now surpasses that of wheat and rice (U.S. Census Bureau, 2002), making it one of the most important food sources for a growing population. Maize is currently planted on over one fifth of the world's agricultural land devoted to cereal production, an area that covers approximately 137.6 million hectares (Food and Agricultural Organization, 2002). It has been suggested that cropland has a strong potential to mitigate the greenhouse effect by sequestering C in the soil (Lal et al., 1998), and to assess this potential, it is important to quantify the contributions of both the above and belowground structures of various crops as root derived C is likely a primary source for replenishment of soil organic C (SOC) lost to heterotrophic respiration (Balesdent and Balabane, 1996; Bolinder et al., 1999; Gale and Cambardella, 2000). Due to its large and extensive root system, maize, in particular, has the potential to sequester C through belowground inputs. In a 3-yr study, Buyanovsky and Wagner (1986) showed that the post-harvest C input to the soil from maize roots was more than twice that of wheat or soybean roots. There is a need, however, to more accurately characterize seasonal maize root growth, particularly as it relates to plant phenology. Such information would be useful as an input in nutrient uptake, C allocation, and ecosystem modeling, as well as in regional estimates of root C deposition and net primary productivity (Verma et al., 2005) in the extensive land area devoted to maize production worldwide. Unfortunately, destructive root sampling along with the processing of root material collected in field studies is an extremely labor intensive endeavor, making the measurement of root growth throughout the growing season unfeasible for most research efforts. Because of the difficulty in sampling RB and, in the case of field measurements, the added problem of scaling point measurements to a field scale, there is a wide variation in biomass values reported in the literature. Direct measurements of root characteristics are far more easily accomplished in the greenhouse or growth chamber, and while these studies provide necessary data related to root processes, they are rarely extended over the entire life of the maize plant and may not reflect the root system as it would exist under field conditions. In both field and controlled studies, there is also an appreciable amount of rhizodeposited C resulting from the exudation of organic compounds, sloughing of root cells, root cap mucigels, and root turnover that is not easily quantified.
The objectives of this paper are to (i) provide a brief review of root sampling methodologies employed in estimating RB, (ii) collate published literature of the past 30 yr of measured maize RB and R/S ratio and derive a generalized relationship between maize development stage, RB, and R/S ratio (iii) provide a summary of quantitative data published regarding additional net belowground maize C allocation that is not measurable through root sampling, that is, sloughed off root material, and exudation.
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MEASUREMENT OF ROOT BIOMASS
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Confined Destructive Methods
In this paper, the discussion of root sampling methods will be limited to quantitative destructive methods that produce a physical measurement of RB. These are the methods that have been used in the studies reported in Table 1.
Root biomass sampling methods in which the entire root system is confined (e.g., in pots, nylon mesh, wire netting, etc.), have several obvious advantages: the entire root system may be sampled with relative ease and the sample collected is certain to belong to a particular plant or set of plants. In addition, conditions affecting root growth such as light, temperature, and nutrient status may be easily varied, particularly if plants are cultivated in pots in a greenhouse or growth chamber. This is particularly true for plants grown in solution culture, in which nutrient stress may be applied simply by rinsing the root system and changing the solution (Mollier and Pellerin, 1999) and temperature of both the root and shoot zones are easily controlled (Engels, 1993). A major disadvantage of a confined root system is that the root system produced may be quite different from that produced under field conditions. For example, maize plants grown in solution culture tend to produce greater root mass and or root length than field-grown maize plants having an equivalent or even larger shoot mass (Maizlish et al., 1980; Warncke and Barber, 1974). However, in a field study, Richner et al. (1996) found no differences among maize plants grown in soil in containers of nylon mesh, PVC, and plants for which root growth was not restricted. Although normally associated with controlled studies, confined root systems may be used in the field for convenience of sampling or to control some environmental condition. Thom and Watkin (1978) inserted wire netting root containers in field plots and grew a single maize plant in each for later root harvest. Hébert et al. (2001) grew maize plants outdoors in 12-L containers to eliminate competition for light, water, and nutrients.
Unconfined Destructive Methods
The most common method of studying maize roots in the field is accomplished through destructive sampling in which all or part of the root system is removed along with the associated soil volume and transported to the laboratory. The advantages of this method are as follows: roots systems are not confined and are growing under normal field conditions, roots may be sampled at any time without removing whole plants, no special equipment needs to be installed at the beginning of the season, sampling depth and spatial pattern is at the discretion of the researcher and may be adjusted as the plant develops, and samples may be collected and frozen for later processing. In destructive sampling representative soil cores are normally taken, although some researchers prefer to excavate the entire root system or some estimated percentage of it (e.g., Piper and Weiss, 1993; Ma et al., 2003). The diameters of cores typically used in maize studies vary, ranging from 0.021 m (Kovar et al., 1992) up to 0.1 m (Kaspar et al., 1991), and this variation is more likely to affect measurements of bulk density than RB. However, the literature suggests that there is a wide variation in depth of sampling, numbers of cores extracted, and pattern of core extraction, which may lead to varability in reported RB. Soil cores are commonly collected from the top 0.3 m of soil in studies of tillage effects on root densities (Crozier and King, 1993; Kaspar et al., 1991; Kovar et al., 1992). However, if the intention of a study is to arrive at accurate estimates of the maize root system over an entire growing season, sampling to greater depths may be more appropriate. The number and spatial pattern of soil cores extracted varies widely among maize studies. Oikeh et al. (1999) assumed a uniform distribution and took cores only at a distance of 0.12 m from the plant. Ewel et al. (1982) extracted soil cores by using randomly selected coordinates. Anderson (1988) took cores directly over a plant, at mid-row, and halfway between the row and the mid-row point. The three previous examples represent sampling schemes that may be adequate when treatment differences in root growth are the primary objective. However, when the objective is to arrive at an accurate estimate of maize RB, a sampling scheme that takes into account the lateral distribution of roots is preferable.
Regardless of the method used to collect destructive root samples, there can be a great time investment in washing the roots and separating live from dead material (Oliveira et al., 2000). For a monolith 0.76-m long, 0.051-m wide, and 3-m deep, Buman et al. (1994) estimated that it took an operator close to 11 h to separate roots from the soil. A small loss of root material may occur during the washing process. This may be due to the loss of root hairs when plants are washed at a young age or to a small loss of decaying root segments when older plants are washed (Böhm, 1979). Oliveira et al. (2000) reported that losses are typically 20 to 40% of the original root weight. However, Böhm (1979) found that this loss of roots from barley plants was never >10% of total root weight when a sieve with a mesh size of 0.5 mm was used. Livesley et al. (1999) recovered almost 95% of the total RB of maize by using a 0.5-mm sieve along with 2.0- and 1.0-mm sieves, while the 2.0- and 1.0-mm sieves alone captured 78% of the total RB at 0- to 15-cm soil depth and 63% at 30- to 45-cm depth.
Measurement of Rhizodeposition
Various labeling techniques have been employed to quantify living root-derived C other than standing RB. This rhizodeposited C can be found in the soil in the vicinity of the living roots, either incorporated into microbial biomass or as nonmicrobial root-derived SOC. Continuous 14C labeling is normally performed in a growth chamber, in which 14CO2 of a constant specific activity is supplied to the atmosphere around the shoots (Martens, 1990; Helal and Sauerbeck, 1986). At any stage of development, plant material and soil may be collected and analyzed for total C content using a standard CNS analyzer and 14C content using a scintillation counter. Since labeled SOC can only be root-derived, rhizodeposited C may be quantified in this way. Pulse labeling allows for the study of the belowground translocation of recently fixed C at specific times in plant development. In this method, plants are exposed to an atmosphere containing 14CO2 for relatively short periods of time (minutes to several hours) depending on plant age and assimilation rate, during which CO2 concentration is allowed to decrease (Tubeileh et al., 2003). Plants are then grown under the original conditions, and plant material and soil may be analyzed for total C and 14C content at harvest. This technique may be also used in field studies (e.g., Kisselle et al., 2001).
Another technique that is well suited to both controlled (Qian et al., 1997) and field studies (Balesdent and Balabane, 1992) employs natural 13C abundance. All plants discriminate against 13CO2 during photosynthesis, and plants utilizing the C3 pathway discriminate against the stable 13C isotope more than C4 plants (Farquhar et al., 1989). The range of
13C values for C3 plants is approximately 32 to 22
while that of C4 plants is 17 to 9
(Boutton, 1996). The difference in
13C values between C3 and C4 plants can be used to determine the amount of SOC originating from maize roots by growing maize plants in soil that has been cropped to predominantly C3 plants for many years and has developed a more negative C3
13C signature. By comparing the
13C signature of the uncropped soil to soil cropped to maize, and then combining this information with analysis of total C, the amount of SOC derived from roots of the standing maize crop may be quantified. The natural 13C technique is not as sensitive as artificial labeling with 13C or 14C, and it is important to know the limit of resolution (i.e., the smallest difference between two samples that would be significantly different) before planning an experiment (Balesdent and Mariotti, 1996). Using the natural 13C technique, it was possible to measure the quantity of maize-derived material in a <50-µm soil fraction after one maize crop on a soil developed under C3 plants (Balesdent and Balabane, 1992; Balesdent and Mariotti, 1996).
Maize Root Distribution
Both depth of sampling and the spatial pattern of samples may affect RB measurements. Dwyer et al. (1996) found that while maize rooting depth at anthesis varied from around 0.7 m to close to 1 m, approximately 90% of the root system was recovered from the top 0.3 m of soil. For soil cores taken to a depth of 0.75 m, Aina and Fapohunda (1986) found that as much as 70% of the total biomass of recovered maize roots was found in the top 0.225 m of the profile at different times of plant growth. Similarly, Osaki et al. (1995) found that 72 to 82% of total root dry weight for maize plants was recovered from the 0- to 0.2-m soil layer. Maize roots are even more concentrated near the soil surface. Crozier and King (1993) found that for 0.3-m deep cores collected in and averaged over tilled and no-tilled plots, 85% of the total root dry matter was present in the 0.01- to 0.15-m layer. Anderson (1988) restricted routine root sampling to a depth of 0.6 m to estimate the size of the maize root system, since they determined that roots in the top 0.6 m accounted for 87% of the total root mass in samples taken up to 1.2 m after grain harvest. Using even deeper (0.8 m) cores, Kondo et al. (2000) detected an increase in the fraction of maize roots below the 0.6-m depth after severe water stress, indicating that stress induced plasticity may necessitate deeper sampling to fully account for belowground biomass.
A sampling pattern based on knowledge of lateral maize root distribution would provide more accurate estimates of maize RB on a per plant basis as well as provide measurements that may be more reliably scaled up to a per hectare basis. Gajri et al. (1994) determined that root length density (cm root cm3 soil) for maize at silking was highest closest to the base of the plant and decreased with distance from the row, then increased somewhat midway between the rows where the root systems of adjacent plants overlapped. Balesdent and Balabane (1992) reported that almost one-half of the RB was located in the 0.2-m wide and 0.2-m deep soil section directly beneath the crown. Clearly, core transect methods must include the zone immediately beneath the plant to obtain quantitative estimates of RB.
It should be noted that in this study, we define RB as that portion of the root system found below the soil surface (i.e., it does not include the aboveground crown). Inclusion of the crown as RB greatly alters this measurement. Balesdent and Balabane (1992) give one of the few reports of the magnitude of aboveground maize root crown biomass (fraction of the maize plant 0.1 m above the soil surface) in relation to belowground RB. In their study, when sampled at physiological maturity, the maize crown contained 29 g C m2 compared with 63.6 g C m2 in standing RB in the upper 0.8 m of soil.
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MODELING ESTIMATIONS
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Various mathematical models have been constructed that have been used to describe the maize root system. Gerwitz and Page (1974) determined the relationship between total RB and soil depth by taking the reciprocal of the slope of a logarithmic plot of percentage of total roots within a soil horizon plotted against horizon depth. Applying this model to data from two published maize studies, they determined that 63% of the total maize root mass was generally found in the top 0.44 m of soil. A more complex model derived by Hayhoe (1981) provides estimates of plant root weight per depth increment for a given time in days after planting by incorporating a root diffusivity function into a generalized root growth model. Here root diffusivity is a parameter related to characteristics of a soil zone, which include root mass density entering the zone and edaphic factors such as moisture and temperature governing root growth. A nonlinear version of the diffusion equation, dependent on the root weight function as well as on time and vertical distance from the soil surface, provided estimates of maize root weight per depth increment that were much closer to observed values than when root diffusivity was assumed to be a constant. While the models discussed above assume an exponential decrease in root density with depth, CropSyst, a cropping systems simulation model, has a relatively simple approach in which root depth is synchronized with leaf area growth and is assumed to increase linearly to a maximum at the soil surface (Stöckle et al., 2003). Using an input of daily dry matter allocation to the root system provided by another model, Jones et al. (1991) simulated the depth of the maize rooting front and root proliferation in the various soil layers by considering the following limitations to root growth: Al toxicity, Ca deficiency, coarse fragments, which limit water holding capacity, soil strength, poor aeration, and low temperature. Pagès et al. (1989) developed a simulation model that provides projections of the three-dimensional architecture of the maize root system but does not include a C partitioning component. CERES-Maize (Jones and Kiniry, 1986), a widely used simulation model of maize growth, development, and yield, contains a root growth subroutine that calculates the daily growth of the root system in grams plant1. At its simplest level, daily root growth is calculated as the difference between total daily biomass production and the daily growth in weight of other C sinks actively growing during a particular phenological period until grain filling commences. At this point, C not used for grain growth is partitioned equally between the stem and root system. Hybrid-Maize (Yang et al., 2004), a new model based on the temperature driven growth and development functions of CERES-Maize also incorporates a mechanistic formulation of photosynthesis and respiration to drive assimilate availability. In Hybrid-Maize, the minimum fraction of dry matter partitioned to roots is calculated by a continuous function of growing degree day accumulation from emergence (GDD) until GDD reaches 115% of GDD at silking, at which time allocation of dry matter to roots ceases. Any additional assimilate left after meeting the growth requirements of leaf and stem is partitioned to roots. Spek and Van Oijen (1988) presented a simulation model for root and shoot growth in the vegetative phase that incorporated a light response curve of CO2 assimilation with a series of MichaelisMenten equations governing nitrate uptake and the synthesis of amino acids, structural N and structural C. Estimates of R/S ratio from this model for 2-wk-old maize plants subjected to three different NO3 treatments for 10 d were approximately 0.18, 0.29, and 0.64 for the high, medium and no NO3 treatments, respectively. In another simulation of C assimilation and partitioning in maize, Grant (1989) specified the fraction of assimilated C translocated to the shoot at 0.67 and that to the root at 0.33 before tassel initiation. After tassel initiation, these fractions were then determined on the basis of a phyllochron function by which C allocation is adjusted to account for maintenance and growth respiration before root and shoot dry matter are estimated.
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ESTIMATES OF ROOT BIOMASS AND ROOT/SHOOT RATIO
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Table 1 contains values of R/S and/or RB at specific sampling times collected from 45 maize studies published in 41 journal articles. Root/shoot ratio is here considered to be the ratio of dry, belowground structural RB to dry, aboveground stover (i.e., stems, leaves, and husks). Assimilate that is lost through exudation, root respiration, or root turnover is not considered as part of RB or R/S in these data. Where R/S values with and without cob plus grain biomass were reported, values without these components were chosen for inclusion in this table. Selection of data from studies involving enhanced atmospheric CO2 enrichment was limited to the controls, and all studies listed may be assumed to have been conducted under ambient levels of CO2 concentration. Biomass or R/S values that were calculated from published values are indicated and the method of calculation is presented in this section. As our objective was to examine the change in RB and R/S as a function of time, published reports that did not include the time or phenological stage at sampling are not included in Table 1.
The vast majority of these studies reported biomass on a per plant basis, most commonly grams plant1, and many of the studies did not provide information allowing for conversion to a per area basis. Therefore, grams plant1 was chosen as the unit of dry matter reported in Table 1. Simple conversions of biomass data as indicated in Table 1 involved dividing by the number of plants when biomass was reported in grams per several plants (Fageria, 2002a, 2002b; Fageria and Baligar, 1997; Lafitte and Edmeades, 1994) and conversion of milligrams to grams (Feil et al., 1990; Handa et al., 1985; Maizlish et al., 1980; Mollier and Pellerin, 1999). Two of the studies listed in Table 1 reported biomass on a per area basis along with plant population, and this information was used to convert biomass to a grams plant1 basis (Ma et al., 2003; Tollenaar and Migus, 1984). For those studies in which a final plant population is given, biomass on an area basis may be obtained by multiplying plant population in plants per hectare by biomass in grams plant1.
As indicated in Table 1, many of the R/S values were also calculated from published data. Some of the R/S values are simply the reciprocal of a reported shoot to root ratio (Fageria, 2002b; Foth, 1962; Gupta and Kovács, 1974; Huber et al., 1989; Piper and Weiss, 1993). Others were calculated by simply dividing RB by shoot biomass (Fageria, 2002a; Handa et al., 1985; King and Greer, 1986; Lafitte and Edmeades, 1994; Maizlish et al., 1980; Mengel and Barber, 1974; Merckx et al., 1986, 1987; Todorovic et al., 2001; Tollenaar and Migus, 1984). This method was also used for Karunatilake et al. (2000) and Thom and Watkin (1978), however, biomass data that could not be converted to g plant1 is not shown in Table 1. For Hunt et al. (1991), biomass was obtained from published equations and parameters for maize using their ambient CO2 treatment as input, and these biomass values were then used to calculate R/S. Root/shoot ratio for Imai and Murata (1976) was obtained by dividing % dry root matter by % dry leaf + stem matter (percentages based on total dry matter).
The results listed in Table 1 reveal the wide variation existing in the literature regarding reported root and shoot biomass and the relationship between the growth of these two organs expressed as R/S ratio. This variation is partially dependent on the type of study conducted (i.e., field vs. greenhouse or growth chamber), the genetic potential of the variety grown, environmental conditions under which plants were grown (either those controlled in a growth chamber or those associated with a particular location, season, or planting date), the method of processing root material after sampling, and the various treatments imposed in the studies. Another potential source of variation is the pattern of root sampling, that is, both the depth and spatial pattern in which roots were collected. As discussed previously in the section on maize root distribution, maize roots are not distributed uniformly throughout the plant population, so a sampling pattern must be established that will reflect the actual root distribution. In addition, a depth of sampling must be chosen that will capture the majority of the roots distributed throughout the soil profile. It was not possible to evaluate the methods of root sampling for each of the studies listed, and it is assumed that in each case, an effort was made to accurately sample the root system. Nevertheless, variations in sampling pattern may have contributed to the variation in reported values. In addition, variations in root washing technique, particularly in the sieve mesh size chosen (i.e., Livesley et al., 1999), may contribute to variations in reported maize RB.
Table 2 summarizes the average percentage of change in R/S and RB in response to various stress treatments imposed in studies listed in Table 1. These are averages of all sampling dates in which the treatment was imposed, with the exception of population density (Ma et al., 2003), which did not exhibit an effect until the V8 sampling. Table 2 illustrates the plasticity of R/S in response to varying levels of induced stress. A general principle of the functional equilibrium that exists between roots and shoots is that when growth is limited by an essential substance absorbed by the roots, root growth is favored, while shoot growth is favored if the limiting substance is absorbed by the shoots (Brouwer, 1983). For agricultural crops, nutrients are generally the most important substances controlling dry matter distribution in the plant (Brouwer, 1962), and a wide variety of plants are known to increase their R/S in response to decreased soil fertility (Reynolds and D'Antonio, 1996). For the studies summarized in Table 2, nutrient deprivation or deficiency generally resulted in an increase in the overall R/S. Although fewer studies address other stress factors, those listed in Table 2 suggest that water stress, high population, shading, and soil compaction lead to a decrease in R/S. All stress factors listed in Table 2 tend to decrease RB.
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Table 2. Average percentage of change over study period in R/S and RB in response to various stress factors as summarized from data shown in Table 1. Values in parentheses are standard errors.
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The data in Table 1 were used to generate curves of RB (Fig. 1
) and R/S (Fig. 2
) versus DAE. Before generating the curves, data resulting from treatments that would not reflect common growing practices or field conditions and were intended to manipulate RB and/or R/S for investigative purposes were eliminated from this analysis. Specifically, the data eliminated were the 0 N treatments (Anderson, 1988; Bonifas et al., 2005; Eghball and Maranville, 1993; Feil et al., 1990; Huber et al., 1989; Maizlish et al., 1980; Thom and Watkin, 1978), the 0 P treatments (Fageria and Balinger, 1997; Mollier and Pellerin, 1999), the 0 micronutrient treatments (Fageria, 2002b), the shade treatment (Hébert et al., 2001), and the parasitized treatment (Taylor et al., 1996). Therefore, the curves generated are for plants that are relatively healthy and receive some level of necessary nutrients as well as sufficient light for proper growth. We have, however, retained all data from the two studies in which some level of water stress was applied (Durieux et al., 1994; King and Greer, 1986; Kondo et al., 2000). Several assumptions were made in the generation of these curves. It was assumed that RB and R/S measurements made in the greenhouse and growth chamber adequately reflect those that would be made in the field under comparable conditions, and that experimental effects inherent in these studies would not be great enough to warrant eliminating them from the analysis. Indeed, the plotted data indicate that, except for enhanced R/S early in the season in several non-field studies, results of all three types of studies fall within a similar range and could be analyzed together. The necessity of placing all RB and R/S data on the same time scale also required that we make certain assumptions. Days after emergence was chosen as the time scale, and for curve-fitting purposes, the maize plants in all the studies listed in Table 1 were assumed to conform to the phenological benchmarks outlined by Ritchie et al. (1997) for a typical maize plant. In reality, the length of time between growth stages is dependent on hybrid, temperature, and environmental stresses that may lengthen or shorten the time between vegetative and reproductive stages as reported by Ritchie et al. (1997). However, to place all data on a DAE basis, it was assumed that variations in phenological development were not great enough to limit the analysis only to those studies in which time of sampling is specified as DAE.

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Fig. 1. Maize root biomass vs. days after emergence. Growth stages on the x-axis are those reported or estimated from Ritchie et al. (1997). Confidence intervals (95%) for the regression are shown as dotted lines.
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Fig. 2. Maize root/shoot ratio vs. days after emergence. Growth stages on the X-axis are those reported or estimated from Ritchie et al. (1997). Confidence intervals (95%) for the regression are shown as dotted lines.
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A sigmoid curve of the form RB = a/[1+exp(b c x DAE)], in which RB approaches (a) as DAE increases, was fit to the RB versus DAE data (Fig. 1). The coefficients were significant with P values < 0.0001 and standard errors of the coefficients were 1.4, 0.56, and 0.01 for parameters a, b, and c, respectively. Early in the season, from emergence to around V6, there is very little variation in RB among the various studies and the data closely fit the curve. During this initial phase of growth, the plants accumulate dry matter slowly and differences in experimental conditions and varieties among and within the studies did not greatly influence measured RB. During the linear phase of growth (approximately V8 to VT), growth is much more rapid, and variations in genetic potential, temperature, light, growth medium, moisture level, and measurement technique express themselves as variations in RB. The variation in reported biomass is even greater during the reproductive stages (VT to R6) when maize plants have achieved their maximum RB. Maximum reported RB occurred at the onset of anthesis and the range of values varied between 9 and 65 g plant1. The average maximum RB predicted by the equation fit to the data in Fig. 1 was
31 g plant1. The average C content of coarse and fine maize roots for samples collected during 12 site-years averaged 43.8% of dry matter (D. Walters, unpublished data, 2004), indicating that on a per plant basis, approximately 13.6 g of C is contributed to the soil at harvest by way of standing RB. This maize root C content is slightly higher than the 40% value assumed by Bolinder et al. (1999) and the 42% value assumed by Wilts et al. (2004).
Figure 2 shows R/S ratio vs. DAE fitted to an exponential decay curve of the form [a + b x exp(k x DAE)] where (a + b) gives the initial R/S at emergence and R/S approaches (a) as DAE increases. Coefficients of this equation were significant with P values of 0.007 for a, <0.0001 for b, and 0.0009 for k, and standard errors of the coefficients were 0.05 for a, 0.05 for b, and 0.008 for k. There is a great deal of scatter in the data throughout the growing season as variations in experimental conditions and measurement techniques within and among the studies caused variation in R/S, particularly in the first half of the season (emergence to VT). While results of all three study types for the most part fall within a similar range, growth chamber and greenhouse experiments are more likely to result in a higher R/S values for younger plants. Despite the variation in the results from these 45 studies, a generalized pattern of R/S versus DAE emerged. Root/shoot ratio for 24-d-old plants calculated with our equation (0.41) is only slightly higher than the average R/S (0.37) for three N treatments predicted by Spek and Van Oijen's model (1988). Figure 2 indicates that predicted R/S declined with plant age from a maximum R/S = 0.68 at emergence to a minimum R/S of 0.16 at physiological maturity (128 DAE). Our maturity R/S value is slightly lower than the average R/S of 0.19 reported by Bolinder et al. (1999) for 11 published studies, at least 4 of which reported R/S at a growth stage somewhat before physiological maturity. To test if our values for RB and R/S were reasonable, we estimated the grain dry matter yield that would result given a range in both plant population and harvest index (HI = grain biomass/total aboveground biomass) with an average RB = 31 g plant1 and a final R/S = 0.16 as estimated in Fig. 1 and 2. To make this calculation, we also assumed a cob/stover ratio of 0.15 (D. Walters, unpublished data, 2004). For a maize population of 40000 plants ha1 and a HI of 0.5 and 0.35, predicted grain dry matter would be 8.9 and 4.8 Mg ha1, respectively. At a higher plant population (70000 plants ha1) with equivalent HI values, predicted dry matter was 15.6 and 8.4 Mg ha1, respectively. Although the data of Ma et al. (2003) would suggest that the estimate of 31 g plant1 might be too high for the latter population estimate, we did not find any relationship between plant population and estimated RB in the body of data listed in Table 1 (analysis not shown). These are not unrealistic maize production values and suggest that the average values for RB and R/S predicted in Fig. 1 and 2 provide reasonable estimates of standing RB and resulting R/S. At physiological maturity, variation in RB was greater than that for R/S and so suggests that estimates of standing RB are best made as a function of the product of R/S ratio and stover biomass rather than plant population and average RB.
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RHIZODEPOSITION
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Measurements of RB do not account for all of the belowground allocation of photosynthetic production by the plant. In addition to its use in building biomass, some of the C translocated belowground is used for root respiration, while another portion is transferred to the soil in the form of root turnover, root cap mucigel, and organic exudates. A portion of these root-derived carbohydrates are oxidized to CO2 by the microbial biomass, ultimately appearing as a component of soil surface CO2 flux (Arkebauer, 1994). The process by which living roots release organic C into the soil is referred to as rhizodeposition (Kuzyakov and Domanski, 2000). In this paper, we are concerned with net rhizodeposited C (i.e., total rhizodeposited C minus the portion respired by rhizosphere heterotrophs) present as soil microbial biomass and soil residue at the time of sampling. We will express this quantity as a percentage of total net root-derived belowground C at time of sampling (i.e., standing RB C + rhizodeposited soil C). We will refer to this value as percentage of net rhizodeposited C (%NRC), and calculate it as follows:
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in which RDCmb = rhizodeposited C present in soil microbial biomass at time of sampling, RDCsr = rhizodeposited C present as soil residue at time of sampling, and RBC = C present in standing RB at time of sampling.
Estimates of belowground C inputs rarely include net C rhizodeposited during the growing season. Belowground C contributed by the growing crop may therefore be greatly underestimated and rhizodeposits remaining in the soil at the end of the growing season may be as great as the RB (Flessa et al., 2000). When rhizodeposition is considered in estimates of belowground C deposition, it is often assumed that there is a quantity of rhizodeposited C in the soil equal to RB C at harvest (Bolinder et al., 1999).
Table 3 summarizes the results of twelve maize studies and reports net rhizodeposited C as a percentage of total net belowground root-derived C at various times of sampling (%NRC). The criteria for inclusion in this table was that the studies be non-axenic and that a quantitative measure of rhizodeposition was reported such that %NRC could be calculated. The %NRC values in Table 3 range from a low of 5.2% to a high of 61.8%, with an overall average of 28.6% and a median of 27.7%. Of the nine studies in which sampling was conducted on multiple days, six show a decrease in %NRC over time, two show an increase, while one study showed no temporal pattern. However, due to the wide study to study variation in reported values, as well as the smaller number of data points available, it was not possible to construct a DAE-based curve as we have done previously for RB and R/S. We will, however, address the possible sources of the observed variation in %NRC in maize and make some general conclusions regarding this value.
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Table 3. Net rhizodeposited C (present as soil microbial biomass and as soil residue) as a percentage of total net root-derived belowground C (i.e., standing root biomass C + rhizodeposited soil C).
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There is some indication that the environmental conditions under which maize plants are grown will affect %NRC. The studies summarized in Table 3 fall into three types: field, greenhouse (or growth chamber within greenhouse) plus additional lighting, and growth chamber experiments in which all light supplied is artificial. The values of %NRC derived from the field studies ranged from 37.2 to 48.0% with an average of 43.6% (±1.9%, standard error), those from greenhouse plus additional lighting studies ranged from 24.0 to 35.0% with an average of 29.1% (±1.5), and those from growth chamber studies ranged from 5.2 to 61.8% with an average of 22.4% (±4.8). Although it is difficult to make a conclusion based on the small number of studies available, these ranges and averages suggest that exposure to natural sunlight results in higher %NRC, and that the amount of rhizodeposited C measured in studies using only artificial light is highly variable and perhaps more dependent on both quantity and quality of light supplied. The maximum photosynthetic photon flux density (PPFD) reported in the controlled studies listed in Table 3 (both greenhouse and growth chamber) is 400 µmol m2 s1, which would be considered a moderate PPFD (Nobel, 1991). As a comparison, measured PPFD between 0530 and 1930 h DST in a maize field near Mead, NE during June, July, and August of 2001 ranged from 0.5 to 2013 µmol m2 s2, and the average of all hourly PPFD measurements during this time period was 838 µmol m2 s2. Hodge et al. (1997) found that for Lolium perenne seedlings grown at a constant 20°C, the total amount of C released from the roots during a 3-h chase period following 14CO2 labeling was significantly greater from seedlings grown under a PPFD of 1000 µmol m2 s1 than under 350 µmol m2 s1, although alteration in C allocation expressed as a percentage of total plant C did not occur. The leaves of C4 species such as maize show a virtually linear increase in CO2 uptake rate with increasing level of irradiance (Rosenberg et al., 1983). Maize leaves exposed to full sun during growth may still not reach light saturation even at a PPFD of 2000 µmol m2 s1, which corresponds to full sunlight (Norman and Arkebauer, 1991). However, in the case of a plant adapted to full sun that has been grown under shaded conditions at a lower PPFD, photosynthesis saturates at a lower PPFD, indicating that the photosynthetic properties of a leaf depend on its previous growing conditions (Taiz and Zeiger, 2002). It is therefore possible that the leaves of maize plants growing in the field and exposed to full sunlight have a greater photosynthetic capacity, and therefore a greater potential to exude excess C from the root system, than plants growing under the lower irradiance levels of controlled conditions.
Another potential source of variation in %NRC from these studies is the range of different temperature regimes under which maize plants were grown. Air temperature, through its effect on soil temperature, is likely to affect the rate at which rhizodeposited C is respired by rhizosphere heterotrophs. Mean annual air temperature is the single best predictor of the annual soil respiration rate of a specific ecosystem (Raich and Schlesinger, 1992). Davidson et al. (1998) reported that an exponential model based on soil temperature accounted for 80% of the variation in the soil surface CO2 fluxes in a hardwood forest.
It is therefore possible that %NRC is at least partially a function of PPFD, with increasing irradiance levels and photoperiod leading to increased photosynthesis, as well as of soil temperature, with increasing temperature leading to higher soil respiration rates and therefore a lower %NRC. Although a small number of controlled studies is shown in Table 3 for which temperature, PPFD, and photoperiod are reported, a convincing pattern emerges when %NRC is plotted against the maximum reported experimental photosynthetically active radiation (PAR) in moles per square meter per day divided by average air temperature (Fig. 3
). For this analysis, maximum PAR values were calculated by multiplying the maximum reported PPFD by the time in the reported photoperiod. Maximum reported PPFD was used because for those studies reporting a range of PPFD, this range had different meanings, and it would be difficult to determine an average PPFD based on available information. The range reported by Tubeileh et al. (2003) represents a spatial range within the growth cabinet, with plants rotated daily to provide equal exposure to maximum PPFD levels (Ashraf Tubeileh, personal communication, 2005). In the greenhouse experiment described by Qian et al. (1997), the range reported is a target range, in which the additional light source was intended to compensate for low light conditions (Qian, 1995). Average air temperature was used since soil temperature was not reported in these studies, and was calculated as the average of reported day and night temperatures without adjustment for photoperiod. A surprisingly high R2 of 0.93 resulted from linear regression through the data representing the mean %NRC values from the 14C labeling controlled studies. Note that the 14C data are from five separate and independent studies reported between 1986 and 2003. However, Fig. 3 is not intended to represent a functional relationship, nor should it be interpreted as a method of predicting %NRC from inputs of PPFD and temperature. Figure 3 does, however, suggest that such a functional relationship might be established by experiments in which PPFD and temperature are varied in such a way as to reflect field conditions. The single study by Qian et al. (1997) does not fall along this line and this is the only study of the six that are plotted in Fig. 3 that used changes in the
13C of maize soil to estimate %NRC. The lack of congruence with the other 14C studies is probably due to a much lower sensitivity of
13C as a quantitative C tracer compared with 14C. The relationship between %NRC and the ratio of maximum daily PAR to average air temperature exhibited by the 14C controlled studies, suggests that the specific irradiance and temperature regimes imposed may partially explain the wide range of %NRC reported in these studies. As ambient temperature increases with a corresponding increase in soil temperature, the rate of heterotrophic respiration of rhizodeposited C apparently increases resulting in lower %NRC. Conversely, an increase in photoperiod and PPFD results in a greater %NRC as seen in Fig. 3. This relationship also suggests that %NRC as a portion of NPP may vary quite widely with latitude and its influence on PAR and microbial activity. For estimating net rhizodeposited maize C based on measurements or estimates of standing RB in field studies, an average of the results of the two field studies in Table 3, %NRC
44 ± 2%, may be more realistic than applying the overall average of all studies. However, more such field studies are needed, particularly those that investigate the relationship between net rhizodeposition, environmental conditions, and plant phenology.

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Fig. 3. Net rhizodeposited C expressed as a percentage of total net root-derived C plotted against the quotient of maximum daily photosynthetically active radiation (PAR) and average air temperature.
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If we assume that the C content of rhizodeposited material is similar to that of RB, then average belowground maize C deposition at physiological maturity might be estimated from aboveground vegetative (stover) dry matter. A field value of 44 ± 2% NRC combined with an estimated R/S ratio of 0.16 ± 0.07 at physiological maturity gives a (RB + net rhizodeposition)/shoot ratio of 0.29 = [0.16/(10.44)] at physiological maturity with a range of
± 0.13%. Our value is much lower than values of 1.8 to 3.5 estimated in several recent
13C studies in long-term continuous maize sites that had been subject to stover harvest or stover incorporation (Allmaras et al., 2004; Wilts et al., 2004). However, it is unlikely that these estimates are realistic as they represent maize assimilatory capacities and efficiencies far in excess of measured values (Penning de Vries et al., 1974; Loomis and Amthor, 1999; Lindquist et al., 2005).
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CONCLUSIONS
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There exists a relatively small body of literature that reports measured values of maize RB and R/S and even fewer articles that provide measurement throughout the life cycle of the maize plant. Significant variation in reported values of maize RB and R/S are due to the variety of measurement techniques employed, spatial variability in maize root distribution, and the errors inherent in scaling point measurements (such as soil coring) to whole plant values. Root/shoot ratio is a simple, straight forward parameter that can be used to estimate C allocation to the root when aboveground shoot yield (leaf + stem) is known. In this study, the results of 45 maize root studies that spanned the entire life cycle of the maize plant were assembled and analyzed with RB and R/S values plotted verses DAE. Average maize R/S varied from 0.68 at emergence to 0.16 at physiological maturity. Maximum RB occurred just after anthesis with an average RB of 31 g plant1. In addition to maize RB C, net rhizodeposited C must also be considered when estimating the total contribution of maize roots to SOC. A great variation in %NRC exists in the literature and we calculated an average reported value for %NRC of 29%, however the range reported in the literature varied from 5 to 62%. This variation is most likely due to the environmental conditions under which individual experiments are conducted (e.g., PAR and soil temperature). A very high correlation between %NRC and the ratio PAR/Average Air Temperature (R2 = 0.93) from a family of independent studies implies that the rate of photosynthesis, combined with soil heterotrophic activity, affects the actual amount of net rhizodeposited C during the growing season. Based on these analyses, and assuming that C content of root and shoot material is similar, we conclude that, on average, the net belowground C deposition at maize physiological maturity might be estimated as 29 ± 13% of shoot biomass C for maize that has not experienced stress. Considerable plasticity, however, is apparent in maize R/S in response to various stress factors. Quantitative data regarding the physiological and environmental factors influencing extent of rhizodeposited C by maize is rare and further field studies are needed to characterize maize rhizodeposition throughout the growing season.
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ACKNOWLEDGMENTS
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This material is based on the work supported by the U.S. Department of Energy, Office of Science, Biological and Environmental Research Program (BER), Grant No. DE-FG02-03ER63639; and by the Cooperative State Research, Education and Extension Service, U.S. Department of Agriculture, under Agreement No. 2001-38700-11092.
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NOTES
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A contribution of the University of Nebraska Agricultural Research Division, Lincoln, NE 68583. Journal Series No. 14604.
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