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WHOLE PLANT AND ECOPHYSIOLOGY

Heterosis of Biomass Production in Arabidopsis. Establishment during Early Development¹

Max-Planck-Institute of Molecular Plant Physiology, Golm, Germany (R.C.M., M.B., T.A.); and University of Potsdam, Institute of Biochemistry and Biology, Department of Genetics, Golm, Germany (O.T., T.A.)

	ABSTRACT

TOP ABSTRACT RESULTS DISCUSSION AND CONCLUSION MATERIALS AND METHODS LITERATURE CITED

 
Heterosis has been widely used in agriculture to increase yield and to broaden adaptability of hybrid varieties and is applied to an increasing number of crop species. We performed a systematic survey of the extent and degree of heterosis for dry biomass in 63 Arabidopsis accessions crossed to three reference lines (Col-0, C24, and Nd). We detected a high heritability (69%) for biomass production in Arabidopsis. Among the 169 crosses analyzed, 29 exhibited significant mid-parent-heterosis for shoot biomass. Furthermore, we analyzed two divergent accessions, C24 and Col-0, the F₁ hybrids of which were shown to exhibit hybrid vigor, in more detail. In the combination Col-0/C24, heterosis for biomass was enhanced at higher light intensities; we found 51% to 66% mid-parent-heterosis at low and intermediate light intensities (60 and 120 µmol m^–2 s^–1), and 161% at high light intensity (240 µmol m^–2 s^–1). While at the low and intermediate light intensities relative growth rates of the hybrids were higher only in the early developmental phase (0–15 d after sowing [DAS]), at high light intensity the hybrids showed increased relative growth rates over the entire vegetative phase (until 25 DAS). An important finding was the early onset of heterosis for biomass; in the cross Col-0/C24, differences between parental and hybrid lines in leaf size and dry shoot mass could be detected as early as 10 DAS. The widespread occurrence of heterosis in the model plant Arabidopsis opens the possibility to investigate the genetic basis of this phenomenon using the tools of genetical genomics.

Three principal genetic models have been suggested as explanation for the extreme hybrid phenotype: dominance, (pseudo) overdominance, and epistasis (Crow, 1952; Geiger, 1988; Tsaftaris, 1995). The dominance hypothesis attributes increased vigor to the action of favorable dominant alleles (usually at multiple loci) from both parents combined in the hybrid (Xiao et al., 1995). The overdominance hypothesis postulates the existence of loci at which the heterozygous state is superior to either homozygote. Pseudo-overdominance, in contrast, refers to the situation of tightly linked genes with favorable dominant alleles linked in repulsion. There is also evidence for the role of epistasis in heterosis, i.e. the interaction of favorable alleles at different loci contributed by the two parents, which themselves may show additive, dominant, or overdominant action (Yu et al., 1997; Monforte and Tanksley, 2000; Li et al., 2001; Luo et al., 2001).

In addition to formal genetic hypotheses, numerous physiological and molecular mechanisms underlying the heterosis phenomenon have been proposed (Comings and MacMurray, 2000; de Vienne et al., 2001). Griffing and Zsiros (1971) considered heterosis as the result of interaction between genetic and environmental stimuli. They dissected the complex phenomenon of heterosis into environment-dependent component parts, such as temperature-dependent heterosis (Langridge, 1962). Riday et al. (2003) suggested that in many cases heterosis can be accounted for by the interaction of genes controlling morphologically divergent traits between the parents. This has been shown in Arabidopsis for phosphate acquisition (Narang and Altmann, 2001), where the F₁ hybrids inherited beneficial root traits from both parents.

Parental genetic distance is often regarded as a useful indicator for hybrid performance (Melchinger, 1999). A number of methods exist to estimate genetic distance based on pedigree data, morphological data, agronomic performance data, biochemical data, and DNA data (Mohammadi and Prasanna, 2003). Several studies have reported a positive correlation between genetic distance of the parental lines and the superior hybrid performance (Liu et al., 2002; Barbosa et al., 2003). However, in maize (Zea mays), heterosis is known to culminate at an optimum of parental genetic distance before declining again (Moll et al., 1965).

In Arabidopsis, heterosis for rosette diameter (El Asmi 1974, 1975; Barth et al., 2003), stem length and biomass (Rédei, 1962; Griffing and Langridge, 1963; Corey et al., 1976; Barth et al., 2003), photosynthetic efficiency (Sharma et al., 1979), seedling viability (Mitchell-Olds, 1995), seed number (Alonso-Blanco et al., 1999), and phosphate efficiency (Narang and Altmann, 2001) has been reported for only a limited number of crosses. If heterosis is a widespread occurring phenomenon in Arabidopsis, the vast genome and technological resources available for this model species could be used to rapidly advance our understanding of underlying physiological and molecular processes and a precedence could be established that may support the analysis of heterosis in crops.

We performed a systematic survey of the extent and degree of heterosis for dry biomass in 63 Arabidopsis accessions crossed to three reference lines (Col-0, C24, and Nd). Furthermore, we analyzed two divergent accessions, C24 and Col, in more detail. F₁ hybrids of these crosses were shown to exhibit strong hybrid vigor depending on light conditions and developmental stages.

	RESULTS

TOP ABSTRACT RESULTS DISCUSSION AND CONCLUSION MATERIALS AND METHODS LITERATURE CITED

 

Occurrence and Degree of Heterosis for Shoot Biomass in Arabidopsis

A large survey of the occurrence and the degree of heterosis was conducted with 63 different Arabidopsis accessions crossed to the three reference lines C24, Col-0, and Nd. Major effects of the pollination procedure (hand versus self-pollination) on seed size and subsequently on shoot weight of the plants grown from these seeds were observed. As determined for the two accessions Col-0 and C24, seeds obtained by hand pollination had almost double the weight of seeds from self-pollination. At 15 and 28 d after sowing (DAS), C24 and Col-0 plants grown from selfed seeds reached less than one-half the weight of those from manually pollinated seeds (Table I). Therefore, for each of the 169 crosses analyzed, F₁ seeds from both reciprocal crosses and seeds from parents, produced by manual fertilisation, were used for the analyses. If the number of siliques on self-pollinated mother plants was restricted to the same number as for the hand pollinated mother plants, the seed weights were again similar. We did not detect a significant difference in dry shoot mass at 15 DAS between plants of the parental lines grown from manually pollinated or restricted siliques (Table I).

View larger version (12K): [in this window] [in a new window]   Figure 1. Mid-parent-heterosis (MPH) for dry shoot mass. MPH shows continuous variation in 169 F1 hybrids derived from 63 Arabidopsis accessions crossed to three reference accessions Col-0, C24, and Nd. The upper quartile of 44 crosses with high heterosis and additional 8 crosses with lower heterosis were selected for further analysis.

View larger version (21K): [in this window] [in a new window]   Figure 2. Lack of correlation between parental genetic distance and MPH for dry shoot mass. Parental genetic distance (GD) was calculated from SNP-typing data (115 markers), absolute mid-parent-heterosis (AMPH) was calculated as (mean F1 – mean P) from means of five plants per parental and reciprocal hybrid line, in 169 Arabidopsis F1 hybrids. Data points are labeled according to the reference line used in the cross (C24, Col-0, or Nd).

Shoot Dry Mass Heterosis in the Combination Col-0/C24

Comparison of P, F₁, and F₂
To estimate biomass production in the F₁ and the F₂ of the combination Col-0/C24, shoot dry weights were determined 15 and 28 DAS for plants cultivated at 120 µmol m^–2 s^–1 light. Plants grown from manually pollinated seeds were used for comparisons between reciprocal F₁ (C24 x Col-0 F₁, Col-0 x C24 F₁) and parents (C24 x C24, Col-0 x Col-0), as the F₁ were produced by manual pollination of the respective mother. Comparisons of the F₂ (C24 x Col-0 F₂, Col-0 x C24 F₂) and the parents (C24 and Col-0) were done with plants from self-pollinated seeds, as the F₂ were obtained through self-pollination of F₁ plants. While the F₁ showed 33.3% to 63.2% higher means of shoot dry weights but similar coefficient of variation (CV) in comparison to the parents, the F₂ had only 17.5% to 23.7% higher mean shoot dry weight but larger CV (Fig. 3 ).

View larger version (19K): [in this window] [in a new window]   Figure 3. Mean dry shoot mass and coefficient of variation (CV) in P, F1 and F2 of the combination Col-0/C24. A, Mean dry shoot mass at 15 DAS (left axis) and 28 DAS (right axis). Means of at least 16 plants ± SD are shown. B, Coefficients of variation at 15 and 28 DAS. The analysis shows the defining characteristics of heterosis; superior performance of the F1, and reduction of the effect in the F2. For comparisons between F1 and parents, plants grown from manually pollinated seeds were used, comparisons of the F2 and the parents were done with plants from self-pollinated seeds.

View larger version (16K): [in this window] [in a new window]   Figure 4. Mean dry shoot mass at 10 DAS of plants grown at three photon flux densities. Photon flux densities are expressed in PAR. Data represent means of at least 14 plants ± SD.

View larger version (11K): [in this window] [in a new window]   Figure 5. MPH for dry shoot mass in Col-0/C24 at different phases of vegetative growth and under different light intensities. Photon flux densities are expressed in PAR. MPH was calculated from three replicates with 12 plants each, data shown are means ± SD.

View larger version (19K): [in this window] [in a new window]   Figure 6. MPH for shoot biomass in 8 crosses grown at 120 and 240 µmol m–2 s–1. Photon flux densities are expressed in PAR. Heterosis was calculated as mean of 9 plants from 3 replicates. **, Significant difference (P < 0.01).

	DISCUSSION AND CONCLUSION

TOP ABSTRACT RESULTS DISCUSSION AND CONCLUSION MATERIALS AND METHODS LITERATURE CITED

Systematic surveys for heterosis of agronomic characters have been performed in several crop species, e.g. grain amaranths (Amaranthus cruentus, A. hypockondriacus; Lehmann et al., 1991), maize (Parentoni et al., 2001; Betran et al., 2003), tomato (Lycopersicon esculentum; Makesh et al., 2002), and rice (Oryza sativa; Jiang et al., 2002; Verma et al., 2002). The number of lines analyzed in these studies are comparable to those used in our survey in Arabidopsis. Previous studies in Arabidopsis analyzed diallels of 5 to 7 ecotypes (Griffing and Langridge, 1963; El Asmi, 1974; Corey et al., 1976). In our analysis of 169 Arabidopsis crosses we detected a high heritability (69%) for biomass production, confirming the suitability of this trait for genetic studies. In crop plants heritabilities for biomass production ranging from 50% to 85% have been reported (Alza and Fernandez-Martinez, 1997 in wheat [Triticum aestivum]; Hoi et al., 1999 in oat [Avena sativa]; Annicchiarico et al., 1999 in clover [Trifolium pretense]; Przulj and Momcilovic, 2001 in barley [Hordeum vulgare]). We found surprisingly large heterosis for shoot biomass in F₁ hybrids of several Arabidopsis accessions, up to 97% for Ler x C24 under standard conditions, and 161% for Col-0 x C24 under high light conditions. As an inbreeding species, Arabidopsis is expected to display only low levels of heterosis (Becker and Link, 1999). Arabidopsis accessions could be considered inbred populations with very rare outcrossing events (Hoffmann et al., 2003) that were selected in/adapted to differing ecological conditions. Crosses between Arabidopsis accessions therefore mimic crosses between inbred lines of outbreeders. Another or an additional explanation could be the controlled growth conditions that were optimized to allow maximum growth. Barth et al. (2003) analyzed heterosis for six traits, including biomass, in five Arabidopsis hybrids. They found a comparable level of heterosis for biomass in the crosses Col-0 x C24 (60% versus 61% in our study) and C24 x Ws (55% versus 51%). Differing results occurred in the cross C24 x Aa-0 (140% versus 9%). This difference may be due to the use of different parental lines in the crosses, as Arabidopsis accessions are not always genetically homogeneous (Breyne et al., 1999).

In hybrid breeding programs, the most important and difficult task is the selection of parental lines and prediction of hybrid performance. In well documented breeding lines, relatedness, and consequently genetic distance, can be deduced from pedigree data (Helms et al., 1997). The development of molecular marker systems such as AFLPs, SSRs, and SNPs considerably facilitated the estimation of genetic distance, based on marker diversity, between any genotypes (Milbourne et al., 1997; Virk et al., 1999; Barth et al., 2002). The genetic distance estimates between the 63 Arabidopsis accessions analyzed in this study were derived from a similarity matrix calculated from 115 SNPs (Törjék et al., 2003, and unpublished data). These SNPs were developed to identify differences between accessions C24 and Col-0. Their use to estimate genetic distances between other accessions introduces an ascertainment bias. We could detect only an extremely weak relationship between parental genetic distance and amount of heterosis in the 63 Arabidopsis accessions studied. Similarly, Barth et al. (2003) could not detect a relationship between parental genetic distance and heterosis for biomass in five Arabidopsis hybrids. A positive correlation between genetic distance and heterosis has been reported for oilseed rape (Brassica napus; Riaz et al., 2001) and maize (Barbosa et al., 2003). In contrast, studies in other plant species often failed to detect a relationship between these two parameters (Cerna et al., 1997 in soybean [Glycine max]; Joyce et al., 1999 in clover; Liu et al., 1999 in wheat; Riday et al., 2003 in Medicago). Zhao et al. (1999) showed that in rice the relationship between molecular marker heterozygosity and heterosis is variable, depending on the germplasm used and the character analyzed. They concluded that a detailed characterization of the germplasm and an in-depth comprehension of the genetic basis of heterosis would be needed to develop strategies for utilizing molecular markers in hybrid performance prediction.

In our survey, no indication for the existence of separate heterotic groups in Arabidopsis was obtained. While hybrids of Col-0 and C24 show highly significant heterosis, these two varieties apparently do not define separate heterotic groups, because several accessions (including Cvi, Gr, Ler, and RLD) showed significant heterosis in crosses to both of them. Heterotic groups have been well characterized from pedigree and molecular marker analyses in maize (Smith et al., 1990; Barbosa et al., 2003), and have been proposed for sunflower (Helianthus annuus; Hongtrakul et al., 1997; Cheres and Knapp, 1998). Heterotic groups are initially identified through a series of combining ability studies, including diallel schemes that permit estimation of general and specific combining ability (Lehmann et al., 1991; Revilla et al., 2002). To correctly identify heterotic groups, a diallel between distantly and closely related Arabidopsis lines should be evaluated. Our analysis was a test-cross scheme that allows determination of general combining ability and selection of appropriate lines for a diallel to assess specific combining ability and heterotic groups.

The detailed analysis of the Col-0/C24 cross showed the defining characteristics of heterosis, i.e. superior performance of F₁ and reduction in F₂. Special care had to be taken to compare plants originating from similarly sized seeds produced by either manual pollination or selfing; C24 and Col-0 parental plants grown from selfed seeds reached less than one-half the weight of those from manually pollinated seeds. Ashby (1937) showed in tomato that hybrid seeds and embryos were larger than those of the parental lines, due to a larger cell number. Alonso-Blanco et al. (1999) reported that the Arabidopsis accession Cvi yielded 40% fewer seeds than Ler, but that Cvi seeds were almost twice as heavy. This is in agreement with our findings that reducing the number of developing siliques in hand pollinated parental lines C24 and Col-0 leads to seeds whose weight is similar to that of the hybrid seeds obtained by manual pollination.

We wanted to determine if rosette diameter and/or leaf area could be used as indicators of dry biomass production in Arabidopsis parental and heterotic hybrid lines. At 10 DAS, the time point of our leaf area and rosette diameter measurements, the relative growth rates of the F₁ lines are significantly higher than those of the parents. The plants of all lines were in developmental stage 1.04 (Boyes et al., 2001), in agreement with Pérez-Pérez et al. (2002), who showed that most of the 188 Arabidopsis accessions in their analysis of leaf architecture, including Col-0 and C24, displayed the same vegetative developmental rates when cultured under the same conditions. A positive correlation between total leaf area and total dry mass has been reported for maize (Pavlikova and Rood, 1987), cotton (Gossypium hirsutum; Bhatt, 1987), and tomato (Rao et al., 1992). In contrast, Titok et al. (1994) found a discrepancy between biomass accumulation and leaf area development in hybrid tomato plants grown in vitro. Leister et al. (1999) showed in Arabidopsis that plant size measured by plant area estimation correlates with fresh weight. Rosette diameter does not only depend on leaf blade area, but to a large extent on petiole length. Leaf shape and the relative size of blade and petiole have been shown to vary between accessions (Pérez-Pérez et al., 2002) and depending on growth conditions. Tsukaya et al. (2002) found a differential genetic control of leaf petiole length and leaf blade expansion. At low light Arabidopsis plants show a shade avoidance phenotype characterized by increased petiole length and reduced leaf blade surface (Vandenbussche et al., 2003). However, due to their restricted size, petioles usually contribute less to dry biomass than leaf blades. In our experiments area of the largest leaf at this early stage showed better correlation with shoot biomass than rosette diameter, both in the F₁ hybrids and the parental lines. Our findings indicate that image sequence analysis of total leaf area could be a suitable noninvasive method to estimate growth rates during early vegetative development of Arabidopsis.

We restricted the analyses of the Col-0/C24 crosses to the vegetative phase, until 28 DAS at 120 µmol m^–2 s^–1 and until 25 DAS at 240 µmol m^–2 s^–1 to avoid interference by different flowering times between parental and hybrid lines. A survey of incremental RGR (every 3 d) revealed a sharp decline after 35 and 32 DAS, respectively, for the parental lines (data not shown). Pérez-Pérez et al. (2002) noted in a survey of natural variation of leaf architecture in Arabidopsis that lamina growth was fastest in the early stages of leaf expansion in all studied leaves. The cold-night long-day pregermination regime used in our study lead to enhanced homogeneity of seed germination in different genotypes. Parental and hybrid lines from the cross Col-0/C24 all germinated at the same day. Events leading to the onset of heterosis, i.e. to the establishment of size differences between parents and hybrids, took place very early during development. Differences in shoot biomass, leaf size, and root growth could be detected as early as 10 DAS.

The occurrence of heterosis for biomass in early stages, and its maintenance until later stages has been reported for several plant species, including sorghum (Sorghum bicolor; Miller and Atkins, 1979), tomato (Rao et al., 1992), lisianthus (Eustoma grandiflorum; Ecker and Barzilay, 1993), and sweet pepper (Capsicum annuum; Mulge and Anand, 1997). El Asmi (1975) reported heterosis for rosette diameter in Arabidopsis at 19 DAS. Analyses aiming at the identification of genes involved in the onset of biomass heterosis in Arabidopsis should therefore concentrate on the early developmental stages. During the early vegetative growth phase, parents and hybrids displayed small but significant differences in RGR at all light intensities. However, only at 240 µmol m^–2 s^–1 were these differences in RGR maintained during the late vegetative growth phase. In concordance with these findings, the MPH for biomass changed only marginally between 15 and 25 DAS at 120 µmol m^–2 s^–1, whereas at elevated light intensity (240 µmol m^–2 s^–1), the superior performance of the Col-0/C24 F₁ hybrids in comparison to their parents was enhanced dramatically. Taken together, these results indicate that differences in plant size are established early in development, and are then maintained throughout the vegetative growth period. Under beneficial conditions, e.g. higher light intensities, the F₁ hybrids are able to sustain a higher relative growth rate to the end of the vegetative growth period, resulting in substantially higher heterosis values. A correlation between light intensity and expression of heterosis has also been reported for Antirrhinum majus (Haney et al., 1953). Small increases in relative growth rates between parental and hybrid lines have been shown to lead to large differences in size (Milborrow, 1998). A larger leaf area during seedling growth allows the F₁ hybrids to absorb more light than their parents, potentially resulting in increased photosynthetic activity per plant. This has been demonstrated for cotton (Wells et al., 1988) and tomato (Rao et al., 1992).

In the Col-0/C24 combination, the F₁ hybrids combined beneficial root traits from both parents: long roots of Col-0, longer root hairs and higher root hair density of C24. These results are in agreement with those obtained by Narang and Altmann (2001) for the same lines under phosphate deficient conditions. In contrast, in our experiments root hair length of the F₁ hybrids surpassed that of both parents. This could be due to our phosphate sufficient growth conditions. Enlargement of the root system is a morphological adaptation that allows plants to efficiently acquire nutrients from the soil (Lynch, 1995). The better developed root system of the F₁ hybrids could potentially lead to increased nutritional uptake to support elevated growth rates, thus contributing to heterosis for biomass production.

Our results also hint to the possible involvement of two different mechanisms leading to increased biomass production in the hybrids. Size differences are established very early during seedling development, independent of light intensity. Later during the vegetative phase a light-dependent mechanism seems to become active. This could be due to increased photosynthetic efficiency of the F₁ hybrids, as indicated by the differential reaction to higher light intensity. The light-dependent mechanism appears to be genotype specific; only three of eight crosses analyzed displayed increased heterosis for biomass production at the high light intensity. A differential contribution of QTL depending on developmental stages has been described by several authors. In rice, Price and Tomos (1997) observed that root-length QTLs varied greatly with developmental stage. They identified one major QTL for seminal root growth at the early developmental stages, and one major QTL for adventitious root growth that became active at a later stage. Pérez-Pérez et al. (2002) detected 16 and 13 QTL affecting architecture of juvenile and adult leaves in Arabidopsis, respectively. Only 8 QTL were common to both developmental stages. Quesada et al. (2002) described a lack of correlation between the salinity responses during germination and vegetative growth. The map positions of the salt tolerance QTL detected for germination did not coincide with those obtained for vegetative growth. Their results suggested that different genetic controls regulate salt tolerance in different developmental stages in Arabidopsis.

The widespread occurrence of heterosis in the model plant Arabidopsis opens the possibility to investigate the genetic basis of this phenomenon using the tools of genetical genomics (Jansen and Nap, 2001). To this end we will analyze 400 Col-0/C24 RIL and their test-cross hybrids and subject selected lines to transcriptome and metabolome analyses together with parents and F₁ hybrids.

	MATERIALS AND METHODS

TOP ABSTRACT RESULTS DISCUSSION AND CONCLUSION MATERIALS AND METHODS LITERATURE CITED

 

Plant Material

Seeds of 63 analyzed accessions were obtained from various sources: Col-0 from G. Rédei (University of Missouri at Columbia, MO); C24 from J.P. Hernalsteens (Vrije Universiteit Brussels); Ler from M. Koornneef (Wageningen University, The Netherlands); Cvi, Bch-1, Eil-0, Gr, Hi, Lip-0, Lm, Lu, Oy, Per, Rsch, Te, and Yo from S. Misera (Institut für Pflanzengenetik und Kulturpflanzenforschung, Gatersleben, Germany); all others from the Nottingham Stock Centre (NASC). Accessions were homogenised by single-seed propagation and bulk-amplified (Törjék et al., 2003). Reciprocal F₁ hybrids were produced by hand-pollinating emasculated flowers of the respective mother plant, five to six flowers per plant. Production of F₂ and propagation was by self-pollination.

Plant Cultivation

For growth and light experiments, plants were grown in 1:1 mixture of GS 90 soil and vermiculite (Gebrüder Patzer, Sinntal-Jossa, Germany). Seeds were germinated in growth chambers under a cold-night long-day regime (16 h fluorescent light [60, 120, or 240 µmol m^–2 s^–1] at 20°C and 75% relative humidity [RH]/8 h dark at 6°C and 75% RH) for 3 to 5 d before the seedlings were transferred to a long-day regime (16 h fluorescent light [60, 120, or 240 µmol m^–2 s^–1] at 20°C and 60% RH/8 h dark at 18°C and 75% RH). To avoid position effects, trays were rotated around the growth chamber every two days. For heterosis experiments, plants were grown in 96-well-trays under the same conditions as above in a randomized block design with six blocks and four replicates. Three plants were grown per replicate. To determine growth parameters at different light intensities, plants were grown at 60, 120, and 240 µmol m^–2 s^–1 in four independent experiments with four replicates of three plants each. Plants for leaf area and rosette diameter measurements were grown in a randomized block design with three blocks and five replicates. Nine plants were grown per replicate.

Data Collection

Shoot Dry Weight
Shoot dry weight was determined at several time points until flowering. Plants were placed in a vacuum oven at 80°C for 48 h. Relative growth rates were estimated by linear regression of the natural logarithm of shoot dry weight versus time (Wareing and Phillips, 1981), and seed weight was used for time point 0 DAS.

Root Growth
Seeds were surface sterilized in 70% ethanol and 20% NaOCl + 0.02% Triton X-100 prior to pregermination on damp filter paper for 2 d at 4°C. Seeds were then transferred to vertical plates containing half-strength Murashige and Skoog medium with 1% Suc and 0.8% agar. For each line, six plants were grown in five replicated plates in two independent experiments. The seedlings were cultivated in a growth chamber under the same conditions as soil grown plants. Primary root length was marked on the petri dish daily until 15 DAS. Root and shoot dry weight was determined 15 DAS. Root hair length and density was determined according to Narang and Altmann (2001). For each line, five plants were grown in three replicated horizontal plates in two independent experiments. A Leica Stereomicroscope MZ12.5 coupled to a Spot Camera, and Meta Imaging Series 4.6 Software (Universal Imaging, Downington, PA) was used for data acquisition and analysis.

Calculation of Heterosis
MPH and BPH were calculated as: MPH = (mean F₁ – mean P)/mean P in %; BPH = (mean F₁ – mean best P)/mean best P in % (Falconer and Mackay 1996). Expressing heterosis values relative to parental performance allows comparison of different crosses. Absolute MPH and BPH values, calculated as (mean F₁ – mean P) and (mean F₁ – mean best P), respectively, were used for statistical analyses (Lamkey and Edwards, 1999).

Estimation of Heritability
Heritability of biomass production was estimated by linear regression of the mean dry mass of the F₁ hybrids against the mean dry mass of the parents (Falconer and Mackay, 1996).

Genetic Distance
Genetic distance (GD) was calculated as follows: GD = 1 – identity values. The identity values between the accessions were obtained with the BioEdit Sequence Alignment Editor (Hall, 1999) by pairwise comparison of genotype data determined for 115 SNP-based markers (Törjék et al., 2003) and K.J. Schmid, O. Törjék, R.C. Meyer, H. Schmuths, M.H. Hoffmann, T. Altmann, unpublished data.

Data Analyses

Statistical analyses were performed with Genstat for Windows V6.1 (Payne et al., 2002). Linear measures were square-root transformed, weight was log transformed. For comparisons between crosses, ANOVA and appropriate multiple comparison and two-sided t tests were used. Significant heterosis values were identified by t tests. Differences in RGR between generations were analyzed comparing the slopes of the linear regressions using a covariance analysis (Meerts and Garnier, 1996; Antunez et al., 2001).

	ACKNOWLEDGMENTS

 
We thank Melanie Lück, Monique Zeh, Cindy Marona, Anke Kalkbrenner, and Katrin Seehaus for excellent technical assistance and plant care.

Received September 5, 2003; returned for revision December 10, 2003; accepted January 27, 2004.

	FOOTNOTES

 
¹ This work was supported by the Bundesministerium für Bildung und Forschung GABI project (grant no. FK 0312275A/9), by the EU-Natural project (grant no. QLRT-2000-01097 to T.A.), by the Deutsche Forschungsgemeinschaft (grant no. AL387/6-1 to T.A. and R.C.M.), and by the Max-Planck-Society.

Article, publication date, and citation information can be found at www.plantphysiol.org/cgi/doi/10.1104/pp.103.033001.

^* Corresponding author; e-mail meyer{at}mpimp-golm.mpg.de; fax 49–331–5678250.

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