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Corresponding author: Seung-Chul Kim, Department of Biology, Indiana University, Jordan Hall, Rm. 142, 1001 E. 3rd St., Bloomington, IN 47405., sckim{at}sunflower.bio.indiana.edu (E-mail)
Communicating editor: Z-B. ZENG
| ABSTRACT |
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Genetic architecture may profoundly influence the ability of adaptive traits to spread between species via introgressive hybridization. Here, we examine the genomic location of quantitative trait loci (QTL) associated with pollen sterility and morphological traits distinguishing two annual sunflowers, Helianthus annuus and H. debilis ssp. cucumerifolius. These species are of particular interest since they hybridize naturally, and the form of H. annuus in Texas (called ssp. texanus) is thought to have arisen through introgression. Analysis of 226 BC1 progeny from a cross between H. annuus and H. debilis revealed 56 QTL for 15 morphological traits and 2 QTL for pollen sterility. Four morphological QTL are tightly linked (<10 cM) to one or more sterility factors and 7 are closely allied with underrepresented and presumably negatively selected chromosomal blocks. Although these 11 QTL seem unlikely to move between the species, no barrier to introgression was detected for the remaining 45 morphological QTL. In fact, due to widespread pleiotropy (or tight linkage), the introgression of just three small chromosomal blocks appears sufficient to largely recover the phenotype of ssp. texanus. Subsequent work will test for the occurrence and fitness consequences of the identified QTL in natural populations of ssp. texanus.
IN his monograph on introgressive hybridization, ![]()
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Despite these difficulties, numerous natural examples of adaptive trait introgression have been postulated (e.g., ![]()
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Perhaps the best evidence to date for the movement of adaptations across species barriers in nature comes from studies in which the introgression of both neutral molecular markers and presumably advantageous traits have been examined (e.g., ![]()
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Here we assess the plausibility of HEISER's (1951) hypothesis by mapping QTL that contribute to the sterility barrier that isolates H. annuus and H. debilis ssp. cucumerifolius and those that contribute to morphological traits that differentiate the two species. The object of this study is to ask whether the genetic architecture of the sterility barrier is conducive to adaptive trait introgression. A large number of sterility factors scattered throughout the genome would represent a much more formidable barrier to introgression than would a small number of loci or loci that are clustered. Likewise, we ask whether morphological traits (some likely adaptive) that distinguish the species have architectures that facilitate introgression. For example, if morphological QTL are linked to sterility factors, the likelihood of successful introgression is greatly reduced. Finally, we ask if there are differences between genetic architecture of morphological traits that are thought to have successfully transversed the sterility barrier and those that have not.
The data generated by this study also provide an opportunity to investigate the genetic basis of morphological adaptations that differentiate species. In the conventional view, derived from the synthetic theory of evolution (![]()
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| Study species |
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H. annuus and H. debilis ssp. cucumerifolius are self-incompatible annuals with haploid chromosome numbers of 17. They are easily distinguished by numerous morphological features and have different ecological requirements. H. annuus occurs fairly commonly in the western U.S. and prefers heavier, clay-based soil. In contrast, H. debilis ssp. cucumerifolius occurs primarily in east Texas and is restricted to exposed, sandy soils (![]()
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H. annuus ssp. texanus is fully fertile with other subspecies of H. annuus (ssp. annuus from the central and eastern U.S. and ssp. lenticularis from western North America; ![]()
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| MATERIALS AND METHODS |
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Plant materials:
We employed a BC1 mapping strategy, using self-compatible, inbred lines of the cultivated H. annuus as the recurrent parent. This approach was used to counter several difficulties such as high levels of intraspecific polymorphism for molecular markers, sporophytic self-incompatibility, and low F1 fertility. Cultivars of H. annuus are fully fertile with all wild forms of the species and represent an extreme form of the wild phenotype for most of the morphological traits that distinguish H. debilis ssp. cucumerifolius and H. annuus. The specific details of the crossing program are as follows. A cytoplasmic male-sterile line of H. annuus (CMS89) was pollinated with a wild individual of H. debilis ssp. cucumerifolius collected near Austin, TX. Although H. debilis populations are polymorphic for restorer alleles for CMS, attempts to cross F1's back to CMS89 failed due to low F1 pollen viability, forcing us to use a closely related cultivar of H. annuus, USDA894, as the paternal parent, and a single male-sterile F1 as the maternal parent, of the BC1 mapping population. A total of 226 achenes were obtained from this crossing program and grown in greenhouses at Indiana University. Measurements of quantitative traits were taken after plants were fully grown (see below).
Phenotypic trait measurements:
Fifteen morphological traits that differentiate H. annuus from H. debilis ssp. cucumerifolius were measured in the 226 BC1 plants (Table 1). H. annuus ssp. texanus is intermediate between H. debilis ssp. cucumerifolius and other forms of H. annuus for all of these traits, with the exception of phyllary length and achene shape. Stem speckling was measured by counting the number of internodes that have at least some purple pigmentation. Leaf serration was measured as the average tooth height (cm) of the first three major leaves below the first head (at least five measurements from each leaf). Head number was a simple count, except that false heads (heads with short peduncles that did not develop fully) were excluded. The number of ray flowers was averaged over five heads when possible (some plants produced fewer than five heads). The length and width of ligules (cm) were measured from at least five ray flowers and averaged over multiple heads when possible. Ligule shape was estimated as a ratio of ligule length to width. Disk size (cm) was estimated as the internal diameter of fully opened heads and averaged over five heads when possible. The length and width of five of the outermost phyllaries (cm) were measured from the first head. Phyllary shape was estimated as the ratio of phyllary length to width. Phyllary pubescence was estimated by visually ranking the degree of pubescence on the outer phyllary on a scale of one to five, with one being glabrous and five being pubescent. Ten achenes from the first head were measured for the length and width in cm and achene shape was estimated as the ratio of length to width. Lastly, the pollen viability of backcross progenies was estimated by staining with 30% sucrose and 0.1% 3-(4.5-dimethylthiazol)-2,5-diphenyl-2H-tetrazolium bromide (MTT; ![]()
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Means and variance were measured for each character in the BC1 population, and deviations from normality were tested by calculating skewness and kurtosis. Traits with non-normal distributions were log-transformed using Mapmaker/QTL 1.1 (![]()
DNA isolations and genotyping:
Total genomic DNA was isolated from 100 mg of fresh leaf tissue using DNeasy plant mini kits (QIAGEN, Chatsworth, CA) and then quantified on a TKO-100 fluorometer (Hoefer Scientific Instruments, San Francisco). All 226 BC1 progeny were genotyped using amplified fragment length polymorphisms (AFLPs) following a slightly modified standard protocol (![]()
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Preamplification reactions were performed with two AFLP primers having a single selective nucleotide (A). The preamplification reactions contained 1 µl of template DNA from the ligation reaction, 187.5 ng EcoRI+A and 187.5 ng MseI+A primers, 0.4 µl dNTPs (each at 25 mM), 2.5 µl PCR buffer (500 mM KCl, 15 mM MgCl2, and 200 mM Tris HCl), 0.4 units Taq polymerase (Biology Department, Indiana University, Bloomington, IN), and ddH2O in a total volume of 25 µl. The reactions were placed in a thermal cycler (MJ Research, Watertown, MA) programmed for 20 cycles, each consisting of 30 sec at 94°, 30 sec at 60°, and 1 min at 72°.
Once the preamplifications were complete, selective amplifications were performed using 2.5 µl of 1:20 diluted preamplification reaction as a template, 5 ng of the EcoRI+3 nucleotide selective primer (![]()
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All enzymes and buffers were purchased from New England Biolabs. Adapter and primer sequences are the same as those described in ![]()
3 Prime, Inc., Boulder, CO), whereas those labeled with Oregon Green were purified with the FluoReporter labeled oligonucleotide purification kit (Molecular Probes).
Following amplification, reaction products were mixed with an equal volume (10 µl) of formamide dye (98% formamide, 10 mM EDTA pH 8.0, and bromphenol blue). The resulting mixtures were heated for 3 min at 90°, and then quickly cooled on ice. Each sample (5.5 µl) was loaded on a 5% denaturing polyacrylamide gel and run at constant power, 50 W, for 1 hr 30 min. After electrophoresis, gels were scanned and visualized using an FMBIO II scanner and Image Analysis software (Hitachi Software Engineering Co., Ltd., Tokyo, Japan) with wavelengths of 625 nM for Texas Red-labeled and 505 nM for Oregon Green-labeled reactions, respectively. The Prism Genescan-500 ROX ladder (PE Applied Biosystems, Warrington, Great Britain) and MapMarker LOW 70-400BP fluorescein ladder (Bioventures Inc., Murfreesboro, TN) were run with the samples to estimate the size of Texas Red- and Oregon Green-labeled fragments, respectively. AFLP markers were named using the last two selective nucleotides in the EcoRI and MseI primers followed by estimated fragment sizes: for example, GCCC.209 denotes reaction from primer combination of EcoRI+AGC and MseI+ACC and the fragment size of 209 bp.
Linkage analysis:
For each segregating locus, segregation distortion from an expected 1:1 ratio was determined by chi-square analysis. The effective number of independent markers per chromosome (Meff), was calculated using equation 22 in ![]()
= 0.05) was divided by the effective number of markers (i.e., the Bonferroni test) to provide an estimate of chromosome-wide significance levels. The effects of markers with heavily distorted ratios on linkage relationships were monitored throughout the mapping process to guard against the formation of pseudolinkages that join physically independent blocks or highly biased map distances (![]()
MAPMAKER 3.0 (![]()
< 0.25). For linkage groups with 9 or fewer markers, an exhaustive analysis (i.e., the compare command) was used to order markers. For linkage groups with 10 or more markers, three-point analysis (parameters LOD > 3.0;
< 0.25) was first performed, followed by the order command. The ordered marker sequences were confirmed using the ripple command. ![]()
QTL analysis:
For traits with normal distributions (all but three), untransformed phenotypic data were analyzed with QTL Cartographer version 1.13 (![]()
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= 0.05) for declaring the presence of QTL were estimated using the permutation resampling tests described by ![]()
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9.212 (equivalent to a LOD score decline of two) between adjacent peaks on a single linkage group was considered evidence for multiple QTL. The program Eqtl in QTL Cartographer was used to summarize the positions and effects of the QTL using significance threshold values from the permutation tests. However, Eqtl appeared to have overestimated number and magnitude of QTL for several traits, and for these traits more conservative estimates were derived from Zmapqtl. One-LOD support limits for each QTL were calculated for QTL positions. Only the results of CIM are reported herein.
| RESULTS |
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Phenotypic traits:
H. annuus and H. debilis ssp. cucumerifolius differ dramatically for the phenotypic traits assayed (Table 2). For several characters (head number, disk diameter, and phyllary and achene size) these differences are exaggerated by the use of a cultivated line to represent H. annuus (Table 2). Generally, floral parts of H. debilis are much smaller than those of either wild or domesticated H. annuus (Table 1 and Table 2).
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Analysis of the BC1 population revealed segregation for all traits, indicating the presence of H. debilis alleles with dominant or additive effects on each trait. None of the traits had a bimodal phenotypic distribution as would be expected if the traits were controlled by a single Mendelian locus, although for head number and the number of speckled nodes, a large number of BC1 plants recovered the H. annuus phenotype. The BC1 population also segregated for male sterility due to heterozygosity at a fertility restorer locus in the backcross parent (USDA894). Thus, it was only possible to assay pollen viability in the 110 individuals that produced pollen. Pollen viability in these plants ranged from 183.7% with an average of 24.4%.
For 9 of the 15 traits, the phenotypic values of some individuals from the BC1 population actually exceeded that of both parental individuals. However, for only 7 of these traits (tooth height, ligule length, ligule width, ligule shape, phyllary length, phyllary width, and phyllary shape; Table 2) were the number of progeny with extreme or transgressive phenotypes in excess of the numbers expected by chance. Six traits were transgressive in the direction of the recurrent parent, H. annuus, and 1 trait (tooth height), was transgressive in the direction of H. debilis ssp. cucumerifolius.
Marker segregation and linkage analysis:
From a survey of over 100 AFLP primer combinations, 27 primer pairs were used to generate an initial 261-marker map for 84 progeny. Upon completion of this preliminary map, which consisted of 15 linkage groups, the remaining 142 progeny were genotyped for 133 markers (15 primer pairs) that provided fairly complete genomic coverage. Of these 133 markers, 40 (30%) exhibit significant segregation distortion. Of the 40 distorted markers, 26 were significantly overrepresented (i.e., 26 H. debilis markers are significantly overrepresented in an H. annuus genetic background), whereas 14 markers were significantly underrepresented.
Linkage analysis of the 133 marker x 226 progeny data set revealed the same 15 linkage groups detected in the initial analysis (Fig 1). Because this set of AFLP markers has not been placed on other genetic maps for sunflower, linkage group designations were assigned on the basis of the results of the group output of MAPMAKER 3.0. There are several loose linkages on this map (on linkage groups 1, 4, 7, 8, and 11), each of which is associated with a heavily distorted marker. It is possible that one or more of these represents a pseudolinkage, and may explain the difference between the number of linkage groups mapped here (15) and the haploid chromosome number of these species (n = 17; ![]()
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The map distance covered by the 15 linkage groups is 954.9 cM, with an average distance between markers of 7.18 cM. The map length reported here is considerably less than the estimated length of the H. annuus genome of 1650 cM (![]()
Numbers and magnitudes of QTL:
Composite interval mapping detected 56 QTL for the 15 morphological traits and 2 QTL for pollen viability (Table 3; Fig 1). For each trait, between 2 and 6 QTL were found, and for 4 traits there was evidence for more than one QTL on a single linkage group (Fig 1).
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Many of the phenotypic differences between H. annuus and H. debilis ssp. cucumerifolius are likely to have resulted from disruptive selection, creating the expectation that the effects of most H. debilis alleles will be in the direction of the H. debilis phenotype (Table 2 and Table 3). This expectation was confirmed for 7 of the 15 phenotypic traits. However, single factors for ray number, ligule length, ligule width, ligule shape, phyllary length, phyllary shape, and achene width had effects in the direction of the H. annuus phenotype. For achene shape, three of six factors have effects in the direction of H. annuus.
Individual QTL explained 5.436.5% of the corresponding phenotypic variance for the 15 morphological traits (Table 3). If a threshold of
25% of phenotypic variance explained (PVE) is employed to declare a major QTL (![]()
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There are no apparent differences in the numbers and magnitudes of effects of QTL that are thought to have transversed the species barrier and those that have not. The two traits for which ssp. texanus does not differ from other forms of H. annuus (i.e., nonintrogressed traits), phyllary length and achene shape, are controlled by three and six QTL, respectively, and this is in the range of the number of QTL for putatively introgressed traits (Table 3). Likewise, magnitudes of effects of QTL for nonintrogressed traits broadly overlap those of putatively introgressed traits (Table 3).
Genomic location of QTL:
The detected QTL occur on 12 of the 15 mapped linkage groups. Nonetheless, some clustering of QTL is evident: eight QTL overlap in range of position (i.e., one-LOD support limits) on linkage group 6, five QTL on linkage group 5, and four QTL on linkage group 7 and on linkage group 8 (Fig 1). At least some of the clustering is an artifact of scoring both shape and size characters for a given trait since shape is calculated as a ratio of trait length to width. It is not clear whether the remaining clustering is due to the nonrandom distribution of genes that affect the phenotypic differences between these species or whether it is due to pleiotropy. Some support for the pleiotropy hypothesis comes from observations that size-affecting QTL across several traits were clustered as follows: linkage group 1 (achene length/ligule length), linkage group 2 (achene width/ligule width), linkage group 5 (ligule length/phyllary length), linkage group 6 (ligule width/phyllary width/disk size), and linkage group 7 (achene width/phyllary width). Likewise, QTL for head number (linkage groups 6 and 7) are grouped with QTL that control size characters. Again, this relationship is predictable since head number is negatively correlated with head size.
Comparison of the location of QTL affecting phenotype with the location of sterility factors (linkage groups 2 and 8) indicates that only 4 QTL (out of 56) are tightly linked (<10 cM) to sterility factors. These include 1 QTL that accounts for 21.9% PVE for tooth height, 2 QTL accounting for 27.6% PVE for achene shape, and a single QTL for achene width (7.5% PVE).
Sterility is likely to be only one of several postmating barriers that isolate these species, so we also searched for possible linkages between QTL and chromosomal blocks that were underrepresented (and presumably negatively selected) in the BC1 progeny. Seven QTL were within 10 cM of a significantly underrepresented marker: achene length (linkage group 1, 16.4% PVE), achene shape (linkage group 1, 13.2% PVE), speckled internode (linkage group 3, 6.3% PVE), achene width (linkage group 3, 11.2% PVE), ray flower number (linkage group 3, 9.1% PVE), phyllary pubescence (linkage group 3, 10.4% PVE), and phyllary width (1 QTL, linkage group 12, 6.6%). Surprisingly, the sterility QTL discussed in the previous paragraph occurred on overrepresented rather than underrepresented linkage blocks. Thus, a total of 11 morphological QTL appear to be linked to postmating isolating barriers. These QTL contribute to six traits for which H. annuus ssp. texanus approaches H. debilis ssp. cucumerifolius (tooth height, achene length and width, ray flower number, speckled internode, and phyllary width and pubescence), and one trait (achene shape) for which H. annuus ssp. texanus resembles other forms of the species.
| DISCUSSION |
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Genetic architecture and introgression:
The permeability of hybrid zones to gene flow or introgression depends in large part on the number and genomic distribution of factors that contribute to reproductive isolation (![]()
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In this study, only two factors were detected that contribute to the sterility barrier between H. annuus and H. debilis ssp. cucumerifolius. This would suggest that much of the genome between these species is permeable to introgression. In fact, of the 56 QTL detected that contribute to the morphological differences between these two species, only 4 are likely to be seriously impeded by linkage to these sterility factors.
Although sterility is thought to be the primary reproductive barrier between H. annuus and H. debilis, we also detected five chromosomal blocks that were significantly underrepresented in the BC1 population. If these blocks are negatively selected in hybrids as our data suggest, the 7 QTL within these blocks (or tightly linked to them) are also unlikely to introgress. Thus, a total of 11 QTL seem less likely to introgress due to linkage to sterility factors or other negatively selected loci.
Our inability to detect additional QTL affecting isolation in this study does not mean they do not exist. Sample sizes were small for the sterility analysis, and we did not analyze possible prezygotic barriers such as pollen competition or habitat differentiation. Nonetheless, the present investigation contrasts sharply with a similar study for H. annuus and H. petiolaris, in which 21 factors were detected that contribute to pollen sterility, and 26 blocks were significantly underrepresented in hybrids (![]()
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Although 11 QTL are unlikely to move across the species barrier, could introgression of the remaining 45 QTL account for the phenotypic intermediacy of H. annuus ssp. texanus? The answer to this question appears to be yes. Because H. annuus ssp. texanus is intermediate between H. debilis and other forms of H. annuus, the recovery of its phenotype should not require all H. debilis QTL for a given trait. Moreover, some of the H. debilis QTL detected here probably differentiate it from the cultivated sunflower rather than wild H. annuus. In fact, given the clustering of QTL, introgression of small blocks from linkage groups 5, 6, and 8 might be sufficient to recover all aspects of the H. annuus ssp. texanus phenotype with the possible exception of achene length. This prediction can of course be tested via crossing experiments, which are currently underway.
Although the mapping data indicate that HEISER's (1951) introgression hypothesis is plausible, they do not provide definite proof of it. Rather, they do set the stage for further experimentation (currently underway) that may provide unambiguous verification or rejection. Briefly, we are testing natural populations of H. annuus ssp. texanus for H. debilis markers that flank the QTL thought to be responsible for the morphological intermediacy of ssp. texanus. Detection of flanking markers in ssp. texanus will provide strong evidence for the introgression of the QTL linked to them.
If evidence for the introgression of morphological QTL can be found, it would be crucial to determine whether putatively introgressed QTL do in fact provide some selective advantage to H. annuus in eastern Texas. Some traits such as head number and achene size seem likely to be adaptive because of their important effects on fecundity, whereas the adaptive value of other traits, such as phyllary shape, are less clear. Nonetheless, it should be feasible to generate backcross plants that differ by single QTL, which would enable field studies of the fitness effects of these loci.
Sterility QTL:
As noted in the previous section, two major QTL were detected that contribute to reduced pollen viability. Although our data cannot discriminate between chromosomal rearrangements and genic factors as possible causes for the reduced fertility observed when these QTL are present, several lines of evidence point to a role for chromosomal rearrangements. These include observations that (1) the two species are karyotypically divergent, differing by a single paracentric inversion and 23 translocations; (2) F1 pollen sterility is roughly correlated with the number of translocations that differentiate different Helianthus species (![]()
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Another puzzle is that the pollen viability QTL are significantly overrepresented in the BC1 mapping family. If these QTL correspond to chromosomal rearrangements, then we may have an example of meiotic drive. Although it is feasible for drive to move chromosomal rearrangements through hybrid zones, this does not appear to have taken place in the H. annuus x H. debilis hybrid zone since H. annuus ssp. texanus has the karyotype of other forms of H. annuus rather than the karyotype of H. debilis. Typically, exposure to a meiotically driven chromosomal rearrangement leads to strong selection for the accumulation of unlinked suppressors which reduce drive (![]()
Segregation distortion:
Segregation distortion appears to be correlated with increasing genetic divergence between parental lines (![]()
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Transgressive segregation:
Most studies of morphological variation in segregating plant hybrids report the presence of extreme or transgressive phenotypes (![]()
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The results presented here are largely consistent with complementary gene action as an explanation for transgression. Five of six traits that were significantly transgressive toward H. annuus appear to be so because of H. debilis alleles with effects in that direction. However, observations of transgressive segregation for the remaining trait, phyllary width, cannot be explained by this mechanism. Possibly, QTL with effects in the direction of H. annuus exist for this character, but we failed to detect them. Alternatively, the transgression observed may be due to a different mechanism such as heterosis. A seventh trait, tooth height, also was significantly transgressive, but in the direction of H. debilis. Because our backcrosses were in the direction of H. annuus, we were unable to assess the complementary gene hypothesis for this trait.
Magnitude of QTL controlling species differences:
As alluded to in the introduction, there has been considerable disagreement in the past regarding the genetic basis of adaptation, with some authors advocating an infinitesimal mode and others a role for major genes. However, this issue is now much less contentious because of recent theoretical work suggesting that there is an exponential distribution of factors during adaptation (![]()
25% PVE). This contrasts with (1) studies of other wild species in the sunflower family in which both vegetative and floral traits typically have major QTL (![]()
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We have no ready explanation for the paucity of major QTL in this study. However, H. annuus and H. debilis occur in two fairly divergent clades within Helianthus section Helianthus, and are probably more divergent genetically than most lines or species employed in the studies cited above. Perhaps with increasing genetic divergence, phenotypic diversity is partitioned among a larger number of QTL, reducing the likelihood of detecting major QTL. However, we are unaware of any studies that demonstrate a link between genetic divergence and the number or magnitude of detected QTL.
Limitations of this study:
There are several limitations to the current study. The first of these involves the use of a cultivated form of H. annuus in the backcross mating design. Although this facilitated linkage and QTL mapping, we were unable to distinguish between QTL that were involved in the domestication of H. annuus and those that differentiate the wild species. This does not detract from our overall conclusion that the simple genetic architecture of hybrid sterility poses only a small impediment to the introgression of QTL that differentiate these species. However, it does detract from the usefulness of these data for future experiments (below) to study these QTL in wild populations. Another problem associated with the use of cultivated lines is that major QTL with negative pleiotropic effects are more likely to be fixed by artificial selection (i.e., domestication) than by natural selection. Thus, even the very small number of major QTL detected in this study must be evaluated cautiously, since they may result from artificial rather than natural selection. Finally, the backcross QTL mapping design employed here was unable to detect QTL that have a recessive H. debilis allele.
Conclusions and future directions:
The purpose of this study was to examine the relationship between sterility and morphological QTL using H. debilis ssp. cucumerifolius x H. annuus as an example. The simple architecture of the sterility barrier and the lack of linkage between most phenotypic QTL and sterility factors is consistent with the proposed origin of H. annuus ssp. texanus through introgression (![]()
| FOOTNOTES |
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This article is dedicated to Daniel J. Crawford for his excellent advice, encouragement, helpful discussion, and support during S.-C. Kim's doctoral work at Ohio State University. ![]()
| ACKNOWLEDGMENTS |
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We thank Min-Ju Kim for assistance with phenotypic trait measurements, Alex Buerkle for assistance with computer-related problems and statistical suggestions, Rebecca Doerge for helpful, understandable explanations of various aspects of QTL analysis, and to Toby Bradshaw and Zhao-Bang Zeng for their correspondence. We also thank Rick Noyes, Shanna Carney, and two anonymous reviewers for their critical reading and valuable comments on an earlier version of the manuscript. This work was supported by the National Science Foundation (NSF) and Alfred Sloan Foundation Postdoctoral Fellowship (DBI 9750007) to S.-C.K. and by NSF grant BSR-9419206 to L.H.R.
Manuscript received February 12, 1999; Accepted for publication June 8, 1999.
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