REVIEW New Phytol. (2000), 147, 43–53 Research review The control of carbon acquisition by roots J. F. F A R R A R* D. L. J O N E S School of Biological Sciences and School of Agricultural and Forest Sciences, University of Wales Bangor, Bangor, Gwynedd LL57 2UW, UK Received 7 January 2000 ; accepted 6 March 2000 We review four hypotheses for the control of carbon acquisition by roots, and conclude that the functional equilibrium hypothesis can offer a good description of C acquisition by roots relative to shoots, but is deficient mechanistically. The hypothesis that import into roots is solely dependent on export from the shoot, itself determined by features of the shoot alone (the ‘ push ’ hypothesis), is supported by some but not all the evidence. Similarly, the idea that root demand, a function of the root alone, determines import into it (the ‘ pull ’ hypothesis), is consonant with some of the evidence. The fourth, general, hypothesis (the ‘ shared control ’ hypothesis) – that acquisition of C by roots is controlled by a range of variables distributed between root and shoot – accords with both experiment and theory. Top-down metabolic control analysis quantifies the control of C flux attributable to root relative to source leaf. We demonstrate that two levels of mechanistic control, short-term regulation of phloem transport and control of gene expression by compounds such as sugars, underlie distributed control. Implications for the impact of climate change variables are briefly discussed. Key words : functional equilibrium, metabolic control analysis, phloem, root exudation, source–sink relations. What controls the acquisition of C by roots ? None of the several published answers to this question is entirely satisfactory, which is unfortunate as it is a close approximation to the more general question : what controls the rate of root growth ? In this short review we examine four general and contrasting hypotheses. First, we consider the functional equilibrium hypothesis – that root growth is the outcome of a nutritionally based compromise with shoot growth. Second, we contrast two simple models, one that root growth is determined by availability of C from the shoot (‘ push ’ hypothesis’), the other that it is determined by demand from the root itself (‘ pull hypothesis ’). Last, we ask if root growth is determined by disparate processes distributed throughout the plant (‘ shared control hypothesis ’). Common to all these hypotheses, and central to deciding between them, is a good understanding of the fluxes of C that together result in C acquisition by the root. We therefore begin with a brief survey of those fluxes. The distinction between gross and net acquisition of C is important qualitatively and quantitatively ; we need precision : is it net or gross allocation that is in question ? Wherever possible we need to know about the gross fluxes that sum to yield net values. The dominant root C fluxes which have been quantified are listed in Table 1 ; some examples are given by Lambers (1987) and Farrar & Williams (1991). To summarize many investigations, the dominant source of gross C gain by roots is via import in the phloem from the shoot, while the major loss of root C is via respiration associated with growth and ion uptake (approx. 40% of that imported ; Farrar & Williams, 1991 ; Atkin et al., 2000), although fluxes to symbionts are appreciable (perhaps 15% to legume nodules and 10% to mycorrhizas). Some minor fluxes are less well described, such as rates of dark fixation of CO # (probably low) and rates of uptake of organics from soil (probably high). Uptake of organic compounds from the soil merits further study, as it is probably more important than dark fixation of CO by PEP # carboxylase. Carbon movement in the xylem also needs more attention (Canny, 1990). However, while most of the major C fluxes are known, the factors and mechanisms which control them remain poorly understood. *Author for correspondence (tel j44 1248 382532 ; fax j44 1248 370731 ; e-mail j.f.farrar!bangor.ac.uk). REVIEW 44 J. F. Farrar and D. L. Jones Table 1. Main fluxes of carbon involved in net acquisition of carbon by roots Carbon fluxes Fluxes not resulting directly in gain or loss Gain Loss Import in the phloem Uptake from soil CO fixation by PEP carboxylase # Respiration Exudation of organics Exchange of bicarbonate Export in the xylem To symbionts Death of cortex or whole roots Glucose + H+ Glucose ATP 1 5 Glucose ATP +Pi 3 H+ 2 4 Glucose H+ Fig. 1. Proton symport for uptake of sugars from the rhizosphere. Studies in which whole plants have been labelled with "%C have shown that roots lose 1–10% of net photosynthetically fixed C in a form other than CO # (Curl & Trueglove, 1986 ; Whipps, 1990). This loss is termed rhizodeposition, and includes sloughed cells, mucilages and low molecular weight soluble compounds such as sugars, amino acids and organic Phloem unloading Short-distance transport Cellular compartmentation Storage Synthesis and growth acids (Table 2). The fingerprint of compounds released from roots depends on the environment and internal status of the root (Barber & Gunn, 1974 ; Cakmak & Marschner, 1988). For example, mucilage secretion significantly increases under mechanical stress, whilst large amounts of organic acids are excreted under P stress (Hoffland, 1992). Do plants exert direct control over C loss into the soil, thereby modifying the root environment? We address this question under hypothesis 3 below. Rhizosphere C flow is not just a unidirectional loss : from mechanistic studies of transport processes, it is clear that roots can also take up organic molecules from the soil solution (Fig 1 ; Jones & Darrah, 1993). Therefore they might be able to control the levels of low molecular weight components accumulating in the rhizosphere via both loss and uptake : these mechanisms are discussed under hypothesis 3. Hypothesis 1. Net acquisition of carbon by roots is determined by their functional equilibrium with shoots Typically, shoot and root growth appear to be closely coordinated, in that neither part comes to greatly outgrow the other. Brouwer (1983) and Thornley (1977) produced far more precise and fundamental statements of this commonplace observation, by positing versions of the functional Table 2. Estimates of the loss of carbon from roots attributable to the various components of rhizodeposition Exudate Plant Rate of C loss (µg C g−" root d. wt d−") Lactic acid Mucilage Sugars Phytosiderophores Ethanol Amino acids Phenolics Organic acids Sloughed cells Fatty acids Sterols Vitamins Flavonoids Growth hormones Zea mays Vigna unguiculata Zea mays Hordeum vulgare Pisum sativum Gossypium hirsutum Triticum aestivum Zea mays Arachis hypogea Brassica napus Brassica napus Zea mays Phaseolus vulgaris Arachis hypogaea 19 458 34 000 7880 2880 130 123 334 104 72 139 12 6 3 0n07 Rate of N loss (µg N g−" root d. wt d−") Reference 0 952 0 560 0 51 — 0 9 0 0 1 0 0n04 Xia & Saglio (1992) Horst et al. (1982) Schonwitz & Ziegler (1982) Ro$ mheld (1991) Smucker & Erickson (1987) Cakmak & Marschner (1988) ++ Kraffczyk et al. (1984) Griffin et al. (1976) Svenningsson et al. (1990) ++ Schonwitz & Ziegler (1982) Hungria et al. (1991) Reddy et al. (1989) REVIEW Control of carbon acquisition by roots 45 Table 3. Growth and root metabolism of barley at elevated CO # CO concentration (ppm) # Parameter 350 700 Dry weight (mg) Root weight ratio Rate of elongation of seminal axis (cm h−") Number of nodal roots Rate of lateral root production (h−") Carbohydrate content of seminal axes (mg g−" f. wt) Respiration of seminal axes (nmol g−" s−") Carbohydrate content of root tips (mg g−" f. wt) Respiration of root tips (pmol per tip s−") 154 0n31 0n12 3n4 1n1 3n2 2n7 17n3 22 222 0n31 0n18 5n8 1n8 4n0 3n9 37n9 33 Barley was grown hydroponically and harvested when 14 d old. Unpublished data of B. Collis, C. Pollock & J. F. Farrar. equilibrium hypothesis. In essence this states that both shoot and root acquire different resources (e.g. C and N, respectively), but that each needs both resources in a relatively stable ratio. Therefore growth of the root depends on the provision of C from the shoot as well as its own acquisition of N, so as it gets larger, a larger shoot is needed to provide sufficient C. Growth of shoot and root are thus inseparably linked by this functional equilibrium. This hypothesis has formed the basis of successful models (Thornley, 1977 ; Hunt et al., 1990). The functional equilibrium hypothesis gives a good description of how many environmental variables affect the relative growth of root and shoot of spaced plants (Brouwer, 1962, 1983 ; Wilson, 1988) : light, water, N and P are well explained. For example, an N-deficient plant produces a larger root system ; a shaded plant produces a larger shoot. This has not been shown to work in swards. It is unambiguous in predicting that a shortage of K+ (or any other cation) should favour root growth, when this is not a universal finding (Wilson, 1988). It predicts that increased atmospheric CO will increase # root weight ratio ; however in some cases this ratio remains unaltered (Table 3 ; Farrar & Gunn, 1996 ; Gunn et al., 1999a). It does not distinguish between species, whilst there is increasing evidence that fastgrowing species are more plastic than slow growers (Grime, 1994). And it is striking that there are far more tests of its predictions about weight distribution than there are about activity (say of photosynthesis, or of N uptake) per unit weight of tissue. For an ecologist, the functional equilibrium model is a successful resource-based descriptor. Unfortunately its application to plants growing in communities has not been attempted, although in general it might be expected to apply (Tilman, 1988 ; Grime, 1994). For the physiologist, the functional equilibrium hypothesis is less satisfactory. It describes the allocation of net weight, not gross C, so differential losses by respiration are ignored. And most disturbingly, it is not truly mechanistic. One example of its limitation is that in its simpler formulations it proposes that C is retained in the shoot unless in excess, when it is exported to the root ; however in reality most C is fixed in mature leaves and exported from them, and only then partitioned between shoot and root – so its focus on export rather than partitioning is misleading. It does not address the question of when or how weight or activity will be adjusted following perturbation. Although it states that the total capacity of a root to take up nutrient (its weight multiplied by the average uptake capacity per unit of weight) is conserved, it makes no statements about how these morphological and metabolic components are related – which alters under what circumstance and how they are mutually regulated. In summary, the simple functional equilibrium hypothesis describes many but not all situations, and is inadequate mechanistically. We now know much more about mechanisms by which shoot and root C flow are regulated than when the functional equilibrium hypothesis was formulated (van der Werf & Lambers, 1996). Clearly it will be more profitable to develop models which are based on known mechanisms than to pursue the functional equilibrium hypothesis. Hypothesis 2. Root carbon acquisition is determined by the inflow of carbon from the shoot (‘ push ’ hypothesis) The inflow of C from the shoot is the largest C flux in the root ; therefore it nearly completely describes gross C acquisition. However, this hypothesis goes further and suggests that this C flow into roots is determined entirely by the shoot. (As respiratory C loss by roots is a nearly constant proportion of import, net and gross C influx are proportional.) Root growth would then be determined by the factors that control export from source leaves and the shoot. The most obvious evidence supports this hypothesis : when plants are grown in high light or 46 REVIEW J. F. Farrar and D. L. Jones Table 4 . Export from second leaf of barley at elevated CO : effect of sinks # CO concentration # (ppm) Parameter 350 700 350700 700350 PN (µmol m−# s−") CHO (g m−#) Export of sucrose (g m−# h−") 11n2 6n1 0n93 19n0 10n4 1n73 18n2 9n6 1n58 11n8 5n3 1n22 Barley plants were grown at either 350 or 700 ppm CO and some switched () to the other CO concentration 2 d after # # expansion of the second leaf. Carbohydrate content and rates of photosynthesis and export were measured 24 h later. Export was measured by mass balance. Unpublished data of B. Collis, C. Pollock & J. F. Farrar. high CO under nonnutrient-limiting conditions # their roots grow faster (Table 3 shows that roots of barley at high CO grow more quickly by a higher # rate of production of lateral roots). Does the hypothesis survive a more detailed examination? Further on and elsewhere (Farrar, 1999a) we argue that it does not. What controls the rate of export from source leaves ? The simplest hypothesis is that export from leaf and shoot is directly determined by leaf photosynthetic rate. Import to the root must equal the balance between photosynthesis and storage plus growth in the shoot ; but this description says nothing about where control is exercised. Rather, if this hypothesis were true there would be a continuous linear dependence of export on photosynthesis. However the relationship between photosynthesis and export is easily broken, so that export must be regulated by other factors. For example, Ho (1978) altered both light intensity and carbon dioxide concentration to vary the photosynthetic rate of tomato leaves, but found that the rate of export from those leaves was to an appreciable degree independent of photosynthesis. We have similar results from barley (Table 4) : whilst leaves on plants grown at 700 ppm CO # photosynthesize and export faster than those on plants at 350 ppm, just 24 h after a transfer between CO concentrations the rate of export does not reflect # photosynthetic rate. Source leaves would still dominate C flux if sucrose export were a function of sucrose synthesis, determined by the activity of sucrose phosphate synthase (SPS). Activities of SPS correlate well with rates of export (Huber, 1981), and SPS is allosterically regulated in a way that makes it a good potential regulator. However the use of genetic variants shows that SPS does not entirely regulate export. Maize lines differing in SPS activity do not demonstrate a simple relationship between SPS and export (Rocher et al., 1994). Export is unaltered in both transgenic tomato overexpressing SPS up to sixfold (Galtier et al., 1995) and in potato underexpressing SPS (Geigenberger et al., 1995 ; FerrarioMery et al., 1997). Another suite of hypotheses is based on the idea that export is determined by sugar status. The earliest such hypothesis suggested that the total nonstructural carbohydrate content of the source leaf drove export (Swanson & Christy, 1976 ; Ho & Thornley, 1978), based on correlations between sugar content and rate of export ; unfortunately the slopes of the regressions between sugar and rate of export were different in light and dark (Ho & Thornley, 1978), suggesting that sugar status alone is not a sufficient explanation. Export from barley leaves is not simply predicted by total sugar status (Table 4). It is probable that this sugar-mediated export control hypothesis fails as it ignores compartmentation of sugars, both between and within cells. Attempts to define just that pool of sucrose which is readily available for transport, using compartmental analysis (Farrar, 1989 ; Grantz & Farrar, 1999 ; B. Collis et al., unpublished) find a hyperbolic relationship between export rate and the size of a pool of sucrose which is readily transported (Farrar, 1999a). There is no evidence that this relationship is causal, and as barley mesophyll and parenchymatous bundle sheath have differing carbohydrate contents (Koroleva et al., 1998) it is necessary to seek further information at the level of the single cell. Last, it is possible that import by roots is regulated by loading of phloem in source leaves. We do not know if the number or activity of the transporters which load sucrose into phloem (in plants which load phloem apoplastically ; Buckhout & Tubbe, 1996 ; Rentsch & Frommer, 1996) regulate phloem loading and thus transport in vivo. Plants which are antisense for a sucrose transporter do indeed export less sucrose from source leaves (Riesmeier et al., 1994), demonstrating the use of that particular transporter but not that it has a role in control. Evidence that regions outside the source leaf can alter rate of import. Down-regulation of photosynthetic capacity per unit of source leaf is direct evidence against the hypothesis ; such evidence is now overwhelming (Moore et al., 1999 ; Stitt & Krapp, 1999) and demonstrates that events outside the source leaf partially determine the rate of carbohydrate production and thus its availability to roots. Photosynthesis describes C acquisition, but it does not REVIEW Control of carbon acquisition by roots control it (Farrar, 1999b). Both the size and the metabolic activity of sinks alter photosynthetic rate and capacity (Marcelis, 1996). Export itself is also partly dependent on sinks remote from the source leaf (Moorby & Jarman, 1976 ; Geiger & Fondy, 1985). Lowering the temperature of the sinks can reduce export from source leaves in both the short term (Minchin et al., 1994) and the long term (Plum & Farrar, 1996). The simplest interpretation of the data in Table 4 is that when barley is transferred between CO concen# trations, there is a residual effect of the CO # concentration at which the plants had been grown, mediated via sinks downstream of the source leaf. Overall, there is a considerable weight of evidence against the view that import of C by roots is regulated solely within source leaves, whether by photosynthesis or by post-photosynthetic processes. Hypothesis 3. Root carbon acquisition is controlled by demand from within the root (‘ pull ’ hypothesis) This hypothesis places the root in charge of its own destiny : if there is a demand for C within the root, this demand will simply be met by increased import from the shoot. Implicitly, the shoot over-produces carbohydrate and will never limit supply to the root, and there have been suggestions to this effect (Harper, 1977) although hard evidence is lacking. The hypothesis is intuitively appealing because the needs of the root for C are, by definition, met. If the root is engaged in metabolically expensive uptake and assimilation of nitrate, more C will flow to it ; if growing rapidly in warm soil, sufficient C will flow to it to support that growth. What is root ‘ demand ’ ? Although the word ‘ demand ’ is frequent in the source–sink literature, it is rarely defined, perhaps because it is hard to do so meaningfully. There are three ways of defining demand : (i) the current flux (the sum of fluxes resulting in loss of C, which are listed in Tables 1 and 2, plus the C partitioned to growth) ; (ii) the flux using the current machinery of enzymes and transporters but with no limitation from substrate ; and (iii) the flux unconstrained by substrate supply when the genes coding for all machinery have been maximally induced. When demand is defined as the flux when not limited by carbohydrate supply (definitions (ii) and (iii)), hypothesis 3 is in any case untrue. The conventional components of demand – growth, respiration and storage – are readily understood (Farrar & Williams, 1991). But those involving loss of organic C compounds to the soil and to symbionts need more consideration : are they driven by events outside the plant, resulting in roots losing C to the rhizosphere and its organisms at a rate regulated by factors outside the plant? 47 Regulated carbon efflux. Exudation of C from roots appears to be regulated under stress and seems to achieve (i) the prevention of rhizotoxic chemicals entering the root ; (ii) the removal of potentially rhizotoxic chemicals from the root (C dumping) ; and (iii) the enhanced mobilization and uptake of nutrients under deficiency. Under these circumstances, C efflux from the root appears to be mediated by anion channels which utilize the native electrochemical potential gradient across the plasma membrane to gate the flow of organic acids into the soil (Jones, 1998). For Al toxicity there is an anionspecific efflux channel which releases organic acids only from the root apex in the presence of toxic levels of Al (Ryan et al., 1995 ; Jones, 1998). The gating of this channel appears to be directly regulated by external Al concentration, is cell-specific and is under the control of a single gene (Kochian, 1995). Similar mechanisms have been proposed for lactate efflux under anaerobiosis, and organic acid efflux under P and Fe deficiency (Hoffland, 1992 ; Xia & Saglio, 1992 ; Xia & Roberts, 1994). Regulated carbon influx. The release of C compounds into the rhizosphere causes a proliferation of microorganisms in the endo- and ectorhizospheres. While some of these microorganisms improve plant fitness (e.g. mycorrhizas, N -fixing bacteria), the rhizo# sphere is also a primary point of pathogen entry. There is little competitive advantage in the loss of simple sugars and proteinaceous amino acids to the rhizosphere, as they have little nutrient complexing power and rarely act as specific microbial signals (Jones et al., 1994). The plant reduces the net C loss by active uptake of these low molecular weight compounds from the soil via H+–ATPase-driven proton cotransporters (Fig. 1). These transporters are typically constitutively expressed in all regions of the root and appear to be capable of recapturing large amounts of lost C under hydroponic and soil conditions (Jones & Darrah, 1994, 1996). Although the competitive influence of the soil microbial biomass on this C retrieval mechanism has yet to be quantified, based on independent kinetic studies (Km, Vmax) it appears that competition will be strong (Jones & Hodge, 1999). In addition to recovery of its own C, this C retrieval mechanism may also significantly contribute to N uptake (Chapin et al., 1993). As influx and efflux of C compounds from the root are both at least partly root-regulated, this component of root demand is set by the root itself but in response to conditions in the rhizosphere, so the latter has a role in determining C fluxes in roots. Do plants overproduce carbohydrate? The hypothesis is disproved if plants do not overproduce carbohydrate. Well, do they? We argue that they do not. The pools of carbohydrate which seem large, say 48 REVIEW J. F. Farrar and D. L. Jones Table 5. Respiration in leaves and roots of barley in extended darkness Parameter Leaf Days in dark Rate of respiration CHO content Protein content 2 58 11 61 Root 4 — 5 23 8 — 9 5 2 100 53 67 4 92 53 72 8 46 65 32 Values are percentage value before darkening. At the time of darkening, roots contain enough carbohydrate to sustain respiration for 6 h at control rates. Unpublished data of P. Dwivedi & J. F. Farrar. 10% of plant dry weight, are in fact small compared to the fluxes through them. A plant growing at 0.25 d-" is turning over these pools rapidly, and the pools of soluble carbohydrate in cytosol of leaf and root have half-times of less than 2 h (Farrar, 1999a). Further, there are mechanisms to prevent overproduction of sugars, notably the down-regulation of photosynthetic machinery when sugars accumulate (Farrar et al., 2000). It seems that the size of pools of sugar which are rapidly turned over can increase quickly when supply exceeds demand, and begin to down-regulate the machinery which produces the sugars. Is import into the root determined by root demand? When plants are kept in the dark for prolonged periods, the relative response of shoot and root is remarkable. In the potentially vulnerable root tissue, with low contents of nonstructural carbohydrate, root respiration and growth rate decline only after several days during which sugar, starch and protein contents, and activities of key respiratory enzymes, are little affected (Table 5 ; Farrar, 1999a), although the initial content of carbohydrate in these roots is sufficient to sustain metabolism for only a few hours at the control rate. Roots lose metabolic capacity only after darkening for 6 d. Source leaves are quite different : carbohydrate content (initially very high), protein content and respiration rate all fall within 1–2 d of darkening, and there is loss of photosynthetic and respiratory enzymes. The unexpected reason is that the shoot continues to export carbohydrate to the root for many days, so root metabolism is supported. Surprisingly, it is the shoot, far richer than the root in carbohydrate when the plant is first darkened, which first shows the effects of darkening. This is a striking example of root demand having a large effect on import. Other examples were given when discussing the ‘ push ’ hypothesis. However, there is also evidence against the ‘ pull ’ hypothesis. If photosynthesis is increased, by supplying either more light or increased concentrations of CO , roots import more C and grow more quickly # (Table 3). Do sinks usually grow at less than their maximum possible rate? A series of experiments on barley roots (Bingham & Farrar, 1988 ; Farrar & Williams, 1991) showed that growth and respiration rate of the roots on fast-growing, intact plants could be increased by treatments which caused a sustained increase in assimilate inflow to the root. A similar conclusion comes from experiments on increased atmospheric CO (Collis et al., 1996 ; Farrar, 1999a). # In these and other experiments, the data are consistent with the following. When the supply of sugar is greater than demand of a root, respiration and metabolism do rise, but only after a lag consistent with inducing coarse control. The amount of transcript for a range of enzymes rises (Farrar, 1999a ; Koch, 1996, 1997 ; B. E. Collis et al., unpublished), in a manner consistent with sugar supply being a signal regulating gene expression (Farrar et al., 2000). Mechanism by which root demand might be signalled to the phloem. An integral part of a hypothesis based on root ‘ pull ’ is that metabolic events in receiver cells in the root must be transmitted to the phloem in which import takes place. We have no idea what the mechanism might be. Patrick & Offler (1995) have pointed out that it cannot be the low carbohydrate status of bulk tissue which directly stimulates import, as the concentrations of sugars in roots are too low to alter appreciably the turgor of phloem within the tissue (and Table 3 shows that barley roots growing fast due to elevated atmospheric CO # have high sugar contents). It might be a combination of turgor in expanding cells (Farrar et al., 1994 ; Pritchard, 1998) and gating of the plasmodesmata which connect them to the phloem (A. Schultz, pers. comm.). Although plasmodesmatal gating is still not fully understood, turgor in expanding cells will be in part a consequence of the rate of use of assimilate and ions versus their rate of import, and thus could act as a direct mediator of metabolic activity in the key region of the growing root. Relationships with the activity of acid invertase might be correlations rather than causal ; certainly there is no satisfactory complete explanation centred on invertase. Overall the evidence supporting the ‘ pull ’ hypothesis is more than balanced by evidence which disproves it. However, there is clearly sense in the demand from roots having some role in regulating import from the shoot, just as there is sense in availability of assimilate in sources having a role in how much goes to roots. Can these two, apparently opposite, hypotheses be reconciled? Hypothesis 4. The control of acquisition of carbon by roots is distributed around the plant in shoot and root (‘ shared control ’) If neither ‘ push ’ nor ‘ pull ’ hypothesis is completely successful, yet each fits some of the evidence, it REVIEW Control of carbon acquisition by roots Table 6. Top-down metabolic control analysis of carbon flux in single-rooted soybean leaves Age of single-rooted leaves (d) Parameter 14 16 Leaf\root d. wt Control in source leaf Control in root 2n02 0n64 0n36 1n42 0n79 0n21 Control coefficients are given for a two-block system where the source leaf produces and the root consumes the common intermediate sucrose. Unpublished data of S. Gunn & J. F. Farrar. seems that each of these hypotheses is too simple. Rather, it might be that control of root C acquisition resides partly in the root and partly in the shoot. Such a suggestion may appear less elegant than either the ‘ push ’ or the ‘ pull ’ hypothesis, yet it seems intuitively reasonable that both the availability of, and the need for, assimilate are involved in determining its flux to roots. Here we examine the general hypothesis that control of import into roots is shared between shoot and root. There is both a theoretical argument, and evidence, to support the idea of distributed control. These have been described in the context of leaf properties being determined partly from outside the leaf (Gunn et al., 1999b) ; for sinks in general (Farrar, 1996) and for whole plants (Farrar, 1999b). The theory is that of metabolic control analysis (Fell, 1997). Its central tenet is that in complex, multistep linear or branched systems, every step contributes to the control of flux and so control is distributed throughout the system. Some steps could contribute much more control than others, but all contribute. In a linear system, the control coefficients which define the control at each step sum to 1. The task of metabolic control analysis is to measure experimentally just how much control is associated with each step of a pathway ; transgenic plants, particularly those over or underexpressing an enzyme of interest, have become favoured tools for such investigations (Stitt, 1996). There are two approaches to applying top-down metabolic control analysis to whole plants. Sweetlove et al. (1998), using transgenic potato and "%C to 49 estimate flux, conclude that about 80% of control resides in source leaves and the remainder within sinks. We have adopted a single-source : single-sink system, rooting a soybean leaf from the base of the lamina, to obtain a single source of unchanging photosynthetic area supplying assimilate to a single sink – a root system growing at a constant absolute rate. The merit of this system is that sucrose produced in the source lamina has only two significant fates : storage in the lamina, or export to the root. No other sinks are available to it ; thus a major handicap of working on normal plants with their multiple sources and sinks is eliminated. A potato plant with an antisensed gene expressed in its tubers still has fibrous roots and meristems in the shoot as alternative sinks for assimilate from source leaves, for example. Our initial data (Table 6) ascribe c. 80% of control of C flux to the source leaf, and c. 20% to the root. (We would argue that our agreement with the data of Sweetlove et al. (1998) is fortuitous rather than fundamental.) We have also used a method analogous to, but simpler than, metabolic control analysis (Farrar & Gunn, 1998), calculating response coefficients sensu Jones & Lynn (1994) for plants which have been partially defoliated. The argument is that if whole-plant growth is controlled solely by the photosynthetic acquisition of C, then a reduction of (say) 40% in photosynthesis should be matched by a 40% reduction in growth. The proportionality is calculated as a response coefficient. For two different species, we have shown that growth is reduced less than would be expected when we remove a significant proportion of the leaf area, and the reduction of growth is less at 700 than at 350 ppm CO (Table 7). Our interpretation is that before leaf # area was removed, the growth of these plants was partially limited by their sinks, c. 40% of which are roots, and that limitation by sinks was greater at 700 than at 350 ppm CO . Control of growth is thus # shared between source leaves and sinks. Additional evidence for shared control of growth. With the benefit of hindsight, it is possible to use existing literature and commonplace observations to support the idea of shared control of C flux. First, the transport system probably has a role in control, as the length of the transport pathway affects flux to sinks (Canny, 1973 ; Cook & Evans, 1978 ; Minchin Table 7. Response coefficients for two species grown at two concentrations of CO # Species Parameter Dactylis glomerata Bellis perennis CO concentration (ppm) # Response coefficient 350 0n85 350 0n98 700 0n03 700 0n56 Plants were partially defoliated 2 d before harvest and response coefficients calculated as the ratio between proportional reduction in subsequent growth and proportion of leaf area removed. 50 REVIEW J. F. Farrar and D. L. Jones et al., 1993) and short-distance transport within sinks may present further constraints (Bret-Harte & Silk, 1994 ; Patrick & Offler, 1995). Models of phloem transport also show clearly that there is the potential for control by transport itself (Minchin et al., 1993). Many of the experiments which have been explicitly designed to address the problem of whether growth is limited by sources or by sinks are unsatisfactory. If control is indeed distributed around the plant, an experiment designed qualitatively to detect the presence of some source limitation should find it ; but so should an experiment designed to test for sink limitation. The literature is therefore littered with opposing qualitative claims about whether source or sink limits growth. They can all be reconciled with a view that control is distributed around the plant and indeed includes control by fluxes between plant and both rhizosphere and symbionts. Some of these experiments have been mentioned in discussing the ‘ push ’ and ‘ pull ’ hypotheses. It is also possible to explain the effects of the environment on plants if control of growth is distributed. For example, the growth of one variety of Dactylis glomerata under a fixed set of conditions can be increased either by increasing the ambient CO concentration, or by raising the temperature # (Farrar, 1999b). Such an effect is commonplace. We interpret this observation as co-limitation of wholeplant C flux by photosynthesis (CO increases # growth because photosynthesis is CO -limited) and # sink growth (temperature increases growth because metabolism within sinks, and in particular cell division, is highly temperature-sensitive whereas photosynthesis is not). Both source and sink must have been limiting growth together before the treatments were applied. We argued above that conditions in the rhizosphere affect root C flux : is the converse true? Can an increased supply of carbohydrate to the root increase exudation? Shortterm experiments on plants exposed to increased atmospheric CO concentrations suggest not (S. # Plum and J.F. Farrar, unpublished), although there are claims to the contrary. Increasing photon flux density certainly does not (Hodge et al., 1997). (For both light and CO it is necessary to distinguish # carefully between the amount of root, increased by higher C flux, and exudation per unit of root, unaltered by C flux.) Mechanisms underlying shared control of carbon flux. So far we have demonstrated that control of C flux is distributed, and a means of quantifying that distribution. It remains to show that there are mechanisms consistent with the hypothesis. We propose that phloem transport, together with gene regulation by sugars and other resource compounds, provide sufficient mechanism. The mechanism by which phloem operates is believed to be pressure flow, driven by gradients of turgor pressure between source and sink. The consequence of phloem operating by pressure flow is that neither machinery for sucrose production, nor the amount of sugar in the leaf in any pool, would be expected to determine the rate of export. Rather, the rate must be a function of several factors in source leaf, phloem conduits and in sink which jointly determine turgor gradients in the phloem and solution flux in response to those gradients. Import into roots becomes a whole-plant property (Farrar, 1992, 1996 ; Minchin et al., 1993). Indeed, once there is more than one source or sink the system behaves in a complex way which is not intuitively obvious. For example, when one source is supplying two dissimilar sinks, the proportioning of assimilate between the two sinks changes with the flux out of the source. There need not be any simple link between the turgor established in the phloem (which will determine solvent flux in the phloem) and metabolism in the tissue containing it ; nor need there be a simple link between sugar loaded into the phloem and turgor generation, as many other solutes contribute to turgor. The second mechanism is the regulation of gene expression by resource compounds, particularly sugars and compounds of nitrogen. Details of this idea are discussed by Koch (1996) and Farrar et al. (2000). In essence, the expression of genes encoding proteins key to source leaf and sink metabolism is regulated by sugars, nitrate or amino acids. Typically, photosynthetic genes are down-regulated and sink metabolism genes up-regulated by high sugar concentrations. The idea is appealing because of its neatness and its symmetry : plentiful carbohydrate regulates whole-plant metabolism both to reduce its production and to increase its consumption ; a shortage does the reverse (Koch, 1997). As the signal molecules, or their close metabolites, are xylem or phloem mobile, they can take messages of sugar and N status from leaf to root and vice versa. Clearly such a system means that control of C flux is shared, as, for example, the capacity of a root to metabolize sucrose (and thus sustain its import) will be set by the history of sugar supply from the shoot (Table 3 ; Bingham & Farrar, 1988 ; Farrar et al., 2000). The rapid turnover of pools of total nonstructural carbohydrates such as sucrose means that a small change in flux can result in a large change in pool size. The sugar status of a tissue thus is a timeintegrated sensor of the balance between production and consumption of sugars under varying environmental conditions. There is an urgent need to test the broad hypothesis that resource compounds regulate the expression of key genes in real plants in real situations : too much of the evidence supporting this idea comes from artificial laboratory systems for us yet to feel sure of its importance. REVIEW Control of carbon acquisition by roots We conclude that there is qualitative and quantitative evidence supporting the hypothesis that control of C flux into roots is shared between the many processes which contribute to whole-plant C flux, including those determining loss of C from the root to soil and its organisms. For those wanting a crude approximation of the flux to root growth, a percentage of photosynthesis characteristic of that species and its rooting and aerial environment may suffice. Better approximation needs good mechanistic modelling, and we are not aware that an adequate model exists. We emphasize that the shared control hypothesis is not a restatement of functional equilibrium, although the underlying mechanisms could explain the phenomena described by the functional equilibrium hypothesis. Finally it remains to speculate on the consequences for climate change impacts : what would CO and # temperature be expected to do? Some of the issues have been discussed before (Farrar & Gunn, 1996 ; Gunn et al., 1999a ; Farrar, 1999a). The implications of our argument for rising CO are : to a first # approximation, plants will simply be bigger, with bigger root systems as a consequence of their size but with little or no change in C partitioning to them (Table 3). However, as these large plants have more demand for nutrients and water, and the soil is relatively depleted in these resources as a consequence, there will be more growth of root relative to shoot directed by mechanisms as yet unknown, and if soil nutrients are low there might also be more exudation from roots and C transfer to mycorrhizas (Fitter et al., 2000 ; Treseder & Allen, 2000) ; but these effects of elevated CO will be indirect. # We also urge that for many future experiments it might be helpful to identify where most control is localized, as this is where external or genetic manipulation will be most effective. 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