gerud 2.0: a computer program for the reconstruction of parental genotypes from half‐sib progeny arrays with known or unknown parents

Large groups of related progeny, as can be collected from discrete egg masses or fruits, present excellent opportunities for parentage analysis by allowing the reconstruction of parental genotypes. Current techniques of parental genotypic reconstruction require the knowledge of at least one parental genotype. Here, I present a new computer program that reconstructs parental genotypes when no parents are known, provided that the progeny array contains only full and half siblings. The prospects for successfully reconstructing parental genotypes for such progeny arrays with unknown parents are nearly as good as those for the case when one parent is known with certainty.     

Inheritance of hypersensitive resistance to Bean yellow mosaic virus in narrow-leafed lupin (Lupinus angustifolius)

In narrow‐leafed lupin (Lupinus angustifolius), segregation for the necrotic (systemic hypersensitive) response to infection with a necrotic strain of Bean yellow mosaic virus (BYMV‐N) was studied in progeny plants from six crosses. The parents were two cultivars that always developed necrosis when infected (Danja and Merrit) and two genotypes that always responded without necrosis (90L423‐07‐13 and P26697). In the four possible combinations of crosses between the different necrotic and non‐necrotically reacting genotypes, segregation for the necrotic response in F₂ progeny plants always fitted a 3:1 ratio (necrotic: non‐necrotic). All F₂ progeny plants from the cross between the two non‐cultivar genotypes became infected without necrosis while 99% of the F₂ from the cross between the two cultivars developed necrosis. These results indicate that the systemic necrotic response to infection with BYMV‐N is probably controlled by a single dominant hypersensitivity gene for which we propose the name Nbm‐1. However, its expression seemed influenced by independently segregating modifier genes in the genetic background since necrosis developed at widely different rates within affected F₂ progeny plants resulting in staggered killing.     

Multiple paternity in <Emphasis Type="Italic">Rhipicephalus</Emphasis> (<Emphasis Type="Italic">Boophilus</Emphasis>) <Emphasis Type="Italic">microplus</Emphasis> confirmed by microsatellite analysis

The aim of this study was to determine if individual ticks among the progeny of a single female Rhipicephalus (Boophilus) microplus tick removed from cattle under natural conditions are the result of mating with one or several males. To this end, simulations were run using an existing dataset of genotypes from 8 microsatellite loci to predict the number of samples required and the best locus. Subsequently, 14–22 progeny from each of 15 engorged female ticks removed from three cows, and the engorged females themselves, were genotyped for the BmM1 locus and the minimum number of potential male parents was determined for each progeny group. Of the 15 progeny groups, 10 must have been sired by more than one male, as indicated by the presence of five unique alleles among the progeny or three unique alleles that could not have been contributed by the female. This finding demonstrates multiple paternity in R. microplus.     

Imputation of ungenotyped parental genotypes in dairy and beef cattle from progeny genotypes

The objective of this study was to quantify the accuracy of imputing the genotype of parents using information on the genotype of their progeny and a family-based and population-based imputation algorithm. Two separate data sets were used, one containing both dairy and beef animals (n=3122) with high-density genotypes (735 151 single nucleotide polymorphisms (SNPs)) and the other containing just dairy animals (n=5489) with medium-density genotypes (51 602 SNPs). Imputation accuracy of three different genotype density panels were evaluated representing low (i.e. 6501 SNPs), medium and high density. The full genotypes of sires with genotyped half-sib progeny were masked and subsequently imputed. Genotyped half-sib progeny group sizes were altered from 4 up to 12 and the impact on imputation accuracy was quantified. Up to 157 and 258 sires were used to test the accuracy of imputation in the dairy plus beef data set and the dairy-only data set, respectively. The efficiency and accuracy of imputation was quantified as the proportion of genotypes that could not be imputed, and as both the genotype concordance rate and allele concordance rate. The median proportion of genotypes per animal that could not be imputed in the imputation process decreased as the number of genotyped half-sib progeny increased; values for the medium-density panel ranged from a median of 0.015 with a half-sib progeny group size of 4 to a median of 0.0014 to 0.0015 with a half-sib progeny group size of 8. The accuracy of imputation across different paternal half-sib progeny group sizes was similar in both data sets. Concordance rates increased considerably as the number of genotyped half-sib progeny increased from four (mean animal allele concordance rate of 0.94 in both data sets for the medium-density genotype panel) to five (mean animal allele concordance rate of 0.96 in both data sets for the medium-density genotype panel) after which it was relatively stable up to a half-sib progeny group size of eight. In the data set with dairy-only animals, sufficient sires with paternal half-sib progeny groups up to 12 were available and the within-animal mean genotype concordance rates continued to increase up to this group size. The accuracy of imputation was worst for the low-density genotypes, especially with smaller half-sib progeny group sizes but the difference in imputation accuracy between density panels diminished as progeny group size increased; the difference between high and medium-density genotype panels was relatively small across all half-sib progeny group sizes. Where biological material or genotypes are not available on individual animals, at least five progeny can be genotyped (on either a medium or high-density genotyping platform) and the parental alleles imputed with, on average, ⩾96% accuracy.     

Influence of pollen selection for Alternaria helianthi resistance on the progeny performance against leaf blight in sunflower (Helianthus annuus L.)

Seven genotypes of sunflower, including populations and hybrids, showing differential susceptibility to Alternaria leaf and stem blight were crossed to CMS 234A with pollen selection and without pollen selection. The pathogen culture filtrate was used as selective pressure at stylar tissue by applying it 1 h before pollination. Distilled water applied to stigmas and styles served as control. Two sets of seven hybrids, one set from selective and the other from non-selective fertilization, were evaluated for reaction to Alternaria leaf and stem blight during the rainy season under natural epiphytotic conditions. Selection for resistant pollen on the stigmatic surface resulted in a corresponding increase in progeny resistance. The study demonstrates the transmission of the selected trait from the pollen generation to progeny. Further, it was observed that the effect of pollen selection was high in the progenies of moderately resistant parents compared to progenies of highly susceptible parents. The effect of successive pollen selection was studied by backcrossing the progeny derived through selective fertilization to the fertile parent using selective fertilization. Successive pollen selection further improved disease resistance of progeny. However, the improvement was not very great. Hence, repeated cycles of selection are required to achieve a useful level of resistance in the case of sunflower, since resistance is polygenetically controlled. Received: 17 May 1999 / Revision accepted: 13 September 1999     

ASSORTATIVE MATING AND NATURAL SELECTION IN AN IRIS HYBRID ZONE

The phenology of different genotypes and the distribution of genetic variation among flowering plants and their progeny were examined to assess the levels of assortative mating and selection in a hybrid population of Iris. This study and a previous survey of RAPD nuclear markers and chloroplast markers indicate that the population consists of parental genotypes and recombinant hybrid genotypes that are similar to the parental species (I. fulva and I. brevicaulis), although lacking intermediate genotypes. Early in the season only I. fulva genotypes produced flowers, but as flowering in these plants decreased, the hybrid genotypes and I. brevicaulis genotypes began flowering, resulting in a 24-d period of coincidental flowering. The genotypic distribution of seeds produced during the period of flowering overlap contained a high frequency of intermediate genotypes that were not present in the adult generation. The degree of effective assortative mating was examined by comparing the observed progeny genotypic distributions with expected distributions from a mixed-mating model. The model included selfing and random outcrossing to the nearest plants that had pollen-bearing flowers on the day the recipient flower was receptive. The observed genotypic distribution of progeny from plants with I. brevicaulis chloroplast DNA (cpDNA) was not significantly different from the expected distribution. For I. fulva genotypes, however, there were higher than expected frequencies in the extreme genotypic classes, although intermediate genotypes were absent, indicating that these plants were preferentially mating with similar genotypes. Compared with the extreme genotypes, a larger proportion of the intermediate seed progeny produced were aborted, indicating that intermediate genotypes have lower viability. On the basis of the observed progeny genotypes and genetic disequilibria estimates for the adults and the progeny, there appears to be a pattern of effective asymmetrical mating in this population. This asymmetry is most likely due to pollen-style interactions that reduce the fertilization ability of genetically dissimilar pollen, or preferential abortion of genetically intermediate zygotes by I. fulva-like genotypes. The lack of any apparent discrimination by I. brevicaulis-like genotypes creates a directional exchange of nuclear genetic elements that will have implications for introgression and the evolution of hybrid genotypes.     

Pollen flow in Eucalyptus grandis determined by paternity analysis using microsatellite markers

Gene flow by pollen dispersal from forestry plantations containing introduced species, provenances or selected elite breeding material may impact on local native forest by changing the genetic diversity, introducing new genes or gene combinations, or causing the extinction of rare genotypes in adjacent native forest areas. Patterns of pollen flow can be used to assess the risk of genetic pollution of native forest areas from nearby plantations. Pollen flow in an artificial population of Eucalyptus grandis was estimated using molecular markers and paternity analysis. Microsatellite genotyping was used to identify pollen parents of progeny arrays from six mother trees. Of 329 progeny analysed, 178 (54%) were assigned to pollen parents within the population. Pollen parents located within the population were between 0–192 m from the respective mother trees, with an average pollination distance of 57.96 m. Pollination of mother trees was outcrossed, not by nearest neighbours, and displayed a preference for inter-provenance matings within the population. Progeny that could not be assigned pollen parents within the population (46%) were assumed to have resulted from pollen immigration from external sources. These pollen flow parameters provide useful information about the dynamics of pollen movement within E. grandis populations and may be used in risk assessment of gene flow from plantations to adjacent areas of native forest.     

Improvement of transgenic alfalfa by backcrossing

Summary Two regenerative alfalfa genotypes were transformed withAgrobacterium tumefaciens with binary vectors containing the coding sequences for ?-glucuronidase (GUS) and npt II (kanamycin resistance). The regenerative genotypes and their transgenic populations were agronomically inferior, and one was a somaclonal variant for flower color. GUS was used as a dominant genetic marker in a model system for studying backcrossing to improve transgenic alfalfa. Agronomic yield deficiencies and somaclonal changes were corrected by one to three backcrosses to cultivar genotypes, depending on the vigor of the original transformant. Three backcrosses were considered optimal because progeny contain 94% cultivar germplasm and could be used as parents of a new cultivar. Use of different cultivar genotypes each generation of backcrossing minimized inbreeding and maximized the heterotic potential of backcross derivatives. The improvement of transgenic alfalfa by backcrossing using a dominant marker required only as much time as the original transformation experiment.     

Factors affecting male potency in pooled gamete crosses of rainbow trout,Oncorhynchus mykiss

Synopsis Numbers of offspring produced by genetically marked male and female rainbow trout,Oncorhynchus mykiss were determined by an electrophoretic analysis of 1713 progeny from crosses produced by premixing gametes from different parents prior to insemination and associated full- and half-sib controls. We examined whether male potency, defined as the ability of males to sire progeny when their semen is pooled with that of other males, is affected by interaction with female gametes, concentration of sperm cells and the timing of semen application. Male potency differed significantly and was not affected by which of two females was involved in either of two sets of experiments. The differential between males decreased significantly when sperm concentrations were equalized. The first male sired over 75% of progeny when semen from four males was added sequentially to ova at 30 s intervals in each of two experiments. The lack of significant deviations of marker genotypes from expected Mendelian segregation in full-sib families suggested that there was no differential survival of progeny with specific marker genotypes. Furthermore, there was no correspondence between the survival of progeny of specific males in control crosses and the number of progeny sired in matings where sperm was premixed prior to insemination. Thus. variation in male reproductive success appeared the result of differential fertilization rates.     

Lowland Switchgrass Plants in Populations Set Completely Outcrossed Seeds Under Field Conditions as Assessed with SSR Markers

Switchgrass has long been characterized as an outcrossing species. However, mating behavior of plants in populations grown in the field allowing open pollination has not been documented. Accordingly, the objectives of this study were to determine the fertilization mode (i.e., selfing vs. outcrossing) of two self-compatible plants and to assess the mating behavior variability of lowland switchgrass genotypes in populations under field conditions. In Experiment I, two self-compatible genotypes ‘NL94 LYE 16?×?13’ and ‘SL93 7?×?15’ along with two populations were planted with two replications on the OSU Agronomy Research Farm, Stillwater, OK. Sixty-four progeny derived from half-sib seeds of each genotype per replication per year were genotyped with 4 to 20 simple sequence repeat (SSR) markers. In both 2010 and 2011, all progeny plants of the two parents were completely outcrossed exhibiting 100 % self-incompatibility. In Experiment II, two genetically narrow-based (NL94 C2-3 and SL93 C2-3), each having five parents, and two broad-based (NL94 C3 and SL93 C3), each comprising 26 parents, switchgrass populations with three replications were field established at the OSU Cimarron Valley Research Station, Perkins, OK. The DNA samples were isolated from 1700 open-pollinated progeny of 62 seed parents in 2010 and 773 progeny of 42 parents in 2011. Among all the progeny genotyped with eight to 16 SSR markers, only one was identified as a selfed progeny, indicating very little variability in outcrossing behavior under the field conditions. The identification of specific genotypes like NL94 LYE 16?×?13 and SL93 7?×?15 which are self-incompatible in the open field but self-compatible under the controlled conditions potentially enables efficient production of F1 hybrid seed in switchgrass.     

Predicting within-family variability in juvenile height growth of <Emphasis Type="Italic">Salix</Emphasis> based upon similarity among parental AFLP fingerprints

Willow is being developed as a crop for biomass plantations in the Northeast and North-central United States, but has only recently been the subject of controlled breeding to generate improved genotypes. Maximizing variability among progeny within full-sib families produced by controlled pollination may increase the probability of producing willow clones exhibiting desirable extreme phenotypes. Yet, predicting combinations of parents yielding highly variable progeny is not currently possible. Controlled pollinations were completed among 15 Salix eriocephala clones and the resulting progeny were vegetatively propagated and planted in a greenhouse progeny test. Heights of rooted cuttings were measured after 4 months of growth. Genetic similarity among parents was estimated based on 77 polymorphic AFLP bands. Strong negative correlation (r = -0.88) was detected between mean female-parent similarity indices and the standard deviation of height among half-sib progeny from those females. Parent combinations that had relatively low similarity indices tended to produce progeny that had greater variability in height. This negative relationship suggests that AFLP fingerprints of S. eriocephala parents may be useful for predicting parent combinations that will yield families with large variability.     

Accuracy and precision of methods to estimate the number of parents contributing to a half-sib progeny array

Molecular technologies have made feasible large-scale studies of genetic parentage in nature by permitting the genotypic examination of hundreds or thousands of progeny. One common goal of such studies is to estimate the true number of unshared parents who contributed to a large half-sib progeny array. Here we introduce computer programs designed to count the number of gametotypes contributed by unshared parents to each such progeny array, as well as assess the accuracy and precision of various estimators for the true number of unshared parents via computer simulation. These simulations indicate that under most biological conditions (1) a traditional approach (the multilocus MINIMUM METHOD) that merely counts the number of distinct haplotypes in offspring and divides by 2L, where L is the number of loci assayed, often vastly underestimates the true number of unshared parents who contributed to a half-sib progeny array; (2) a recently developed HAPLOTYPES estimator is a considerable improvement over the MINIMUM METHOD when parental numbers are high; and (3) the accuracy and precision of the HAPLOTYPES estimator increase as marker polymorphism and sample size increase, or as reproductive skew and the number of parents contributing to the progeny array decrease. Generally, HAPLOTYPES-based estimates of parental numbers in large half-sib cohorts should improve the characterization of organismal reproductive strategies and mating systems from genetic data.     

IS ORGANELLE DNA STRICTLY MATERNALLY INHERITED? POWER ANALYSIS OF A BINOMIAL DISTRIBUTION

Although numerous exceptions are well known, organelle DNA is often exclusively or predominantly maternally inherited. In such cases, maternal inheritance is often documented by the study of progeny derived from crosses between parents with distinguishable organelle genotypes. These studies generally detect a single type of progeny, those containing organelles derived from only one of the parents; no progeny containing organelles derived either from the opposite parent or from both parents are found. However, in most cases the number of progeny examined is quite small. I present a simple binomial model of organelle inheritance to determine the power of such experiments to distinguish between the hypothesis of strict maternal inheritance and a more complex hypothesis involving the presence of both organelle types within a progeny array. Extremely large sample sizes of progeny are required to distinguish these two hypotheses with reasonable confidence when organelle transmission is not strictly maternal. As a result, studies involving simple progeny testing may be misleading. Larger samples, more complex breeding designs, or more sensitive molecular methods are required to document adequately strict maternal inheritance of organelles.     

Opportunities for gene transfer from transgenic oilseed rape (Brassica napus) to related species

Before novel transgenic plant genotypes are grown outside containment facilities and evaluated under field conditions, it is necessary to complete a risk assessment to consider the possible consequences of that release. An important aspect of risk assessment is to consider the likelihood and consequences of the transgene being transferred by cross-pollination to related species, including other crops, weeds and ruderal populations. The purpose of this report is to review the literature to assess the ease with whichBrassica napus can hybridize with related species. The evidence for hybridization is considered at three levels: a) by open pollination, b) by hand pollination and c) by the use ofin vitro ovule and embryo rescue techniques; and also examines the fertility and vigour of the F₁, F₂ and backcross generations. Four species are reported to hybridize withB. napus by open pollination:B. rapa andB. juncea using fully fertile parents; andB. adpressa andR. raphanistrum using a male-sterileB. napus parent. Seventeen species are reported to form hybrids (including the four species above) withB. napus when pollination is carried out manually. At least 12 of these species were unable to form F₂ progeny, and eight were unable to produce progeny when the F₁ was backcrossed to one of the parental species. Many factors will influence the success of hybridization under field conditions, including: distance between the parents, synchrony of flowering, method of pollen spread, specific parental genotypes used, direction of the cross and the environmental conditions. Even where there is a possibility of hybridization betweenB. napus and a related species growing in the vicinity of a release, poor vigour and high sterility in the hybrids will generally mean that hybrids and their progeny will not survive in either an agricultural or natural habitat.     

Evaluation of parents and selection for heat tolerance in the early generations of a potato (Solanum tuberosum L.) breeding program

Summary Potato cultivars (Solanum tuberosum L.) were evaluated for their capacity to form tubers under high temperature conditions (heat tolerance). In an experiment conducted in the hot summer season in the field and in experiments conducted under controlled environments in glasshouses, differences in tolerance to heat were noted among the various genotypes. Although heat tolerance tended to be associated with earliness in maturation, differences in the response to high temperatures were observed in genotypes of the same maturity class. Progeny of the cultivars Desiree and Cara, and hybrid progeny of Cara x Desiree and of Blanka x Cara were screened for heat tolerance in controlled environments in glasshouses. Long photoperiod delayed tuberization but high temperatures strongly inhibited tuber formation, which was 4% in the progeny of Desiree, <2% in the progeny of Cara and of Cara x Desiree, and ca. 16% in progeny of Blanka x Cara. For seedlings that did not form tubers in the hot glasshouse but were subsequently transferred to the cool glasshouse, tuberization was much enhanced and clones selected through this dual procedure exhibited tolerance to heat in the first conal year. The results of this study indicate that: (a) tolerance to heat is associated with earliness; however, differences in the response to heat exist among late-maturing cultivars; (b) tolerance to heat, as assessed by the capacity to form tubers under high temperatures, is genetically controlled, and the timing of tuberization might be independent of the rate of tuberization in hybrid progeny; (c) the incidence of heat tolerance in progeny population is correlated with the relative tolerance of the parents; and (d) the dual selection procedure is an efficient approach for the selection of heat-tolerant clones.     

Leaf-rust resistance in rye (<Emphasis Type="Italic">Secale cereale</Emphasis> L.). 2. Genetic analysis and mapping of resistance genes <Emphasis Type="Italic">Pr3</Emphasis>, <Emphasis Type="Italic">Pr4</Emphasis>, and <Emphasis Type="Italic">Pr5</Emphasis>

The conventional way to drive modifications in old forest tree seed orchards is to establish progeny trials involving each parent tree and then evaluate its contribution to the performance of the progeny by estimating its general and specific combining ability (GCA and SCA). In this work, we successfully applied an alternative parent selection tactic based on paternity testing of superior offspring derived from a hybrid seed orchard established with a single Eucalyptus grandis seed parents and six E. urophylla pollen parents. A battery of 14 microsatellite markers was used to carry out parentage tests of 256 progeny individuals including two independent samples of selected trees and one control unselected sample, all derived from 6-year-old forest stands in eastern Brazil. Paternity determination was carried out for all progeny individuals by a sequential paternity exclusion procedure. Exclusion was declared only when the obligatory paternal allele in the progeny tree was not present in the alleged parent tree for at least four independent markers to avoid false exclusions due to mutation or null alleles. After maternity checks to identify seed mixtures and selfed individuals, the paternity tests revealed that approximately 29% of the offspring was sired by pollen parents outside the orchard. No selfed progeny were found in the selected samples. Three pollen parents were found to have sired essentially all of the offspring in the samples of selected and non-selected progeny individuals. One of these three parents sired significantly more selected progeny than unselected ones (P0.0002 in a Fisher exact test). Based on these results, low-reproductive-successful parents were culled from the orchard, and management procedures were adopted to minimize external pollen contamination. A significant difference (P<0.01) in mean annual increment was observed between forest stands produced with seed from the orchard before and after selection of parents and revitalization of the orchard. An average realized gain of 24.3% in volume growth was obtained from the selection of parents as measured in forest stands at age 2–4 years. The marker-assisted tree-breeding tactic presented herein efficiently identified top parents in a seed orchard and resulted in an improved seed variety. It should be applicable for rapidly improving the output quality of seed orchards, especially when an emergency demand for improved seed is faced by the breeder.Communicated by D.B. Neale     

Inheritance of resistance to Yam mosaic virus, genus Potyvirus, in white yam (Dioscorea rotundata)

Yam mosaic virus (YMV) causes the most-widespread and economically important viral disease affecting white yam (Dioscorea rotundata) in West Africa. The genetic basis of resistance in white yam to a Nigerian isolate of YMV was investigated in three tetraploid D. rotundata genotypes: TDr 93–1, TDr 93–2 and TDr 89/01444. F₁ progeny were produced using TDr 87/00571 and TDr 87/00211 as the susceptible parents. Segregation ratios indicated that a single dominant gene in a simplex condition governs the resistance in TDr 89/01444, while the resistance in TDr 93–2 is associated with the presence of a major recessive gene in duplex configuration. Segregation of progeny of the cross TDr 93–1×TDr 87/00211 fitted a genetic ratio of 2.48:1 resistant:susceptible, which can be expected when two simplex heterozygotes are crossed, indicating the possible modifying effect of the susceptible parent. A triple antibody immunosorbent assay (TAS-ELISA) was used for virus detection in inoculated plants. Slight mosaic symptoms appeared on most resistant individuals, while asymptomatic resistant genotypes with high ELISA (A₄₀₅) values were observed in all crosses. Such a heterogeneous response suggests the influence of additional modifier genes that segregate in the progeny. The finding that resistance can be inherited as a dominant or recessive character has important implications for YMV resistance breeding. Received: 15 August 2000 / Accepted: 12 April 2001     

Construction of a genetic linkage map in tetraploid species using molecular markers

This article presents methodology for the construction of a linkage map in an autotetraploid species, using either codominant or dominant molecular markers scored on two parents and their full-sib progeny. The steps of the analysis are as follows: identification of parental genotypes from the parental and offspring phenotypes; testing for independent segregation of markers; partition of markers into linkage groups using cluster analysis; maximum-likelihood estimation of the phase, recombination frequency, and LOD score for all pairs of markers in the same linkage group using the EM algorithm; ordering the markers and estimating distances between them; and reconstructing their linkage phases. The information from different marker configurations about the recombination frequency is examined and found to vary considerably, depending on the number of different alleles, the number of alleles shared by the parents, and the phase of the markers. The methods are applied to a simulated data set and to a small set of SSR and AFLP markers scored in a full-sib population of tetraploid potato.     

PATTERNS OF MATING,GENERATION OF DIVERSITY,AND FITNESS OF OFFSPRING IN A GEUM HYBRID SWARM

To understand the evolutionary consequences of hybridization between the outcrossing plant Geum rivale (Rosaceae) and the selfer Geum urbanum, we tested the predictions of two simple models that assume either (A) low or (B) high pollen fitness in hybrids. Model A predicts only four genotypic classes (G. rivale, G. rivale backcross [BC_R], F1, and Geum urbanum) and asymmetric introgression from inbreeding to outbreeding species. Model B predicts additional genotypic classes and potential generation of novel inbreeding lines in the hybrid swarm. Amplified fragment length polymorphism (AFLP) analysis of adults revealed only the four genotypes predicted by model A. However, microsatellite analysis of parent–progeny arrays demonstrated production of selfed offspring by F1 and BC_R maternal parents and contribution of these genotypes to outcross pollen pools, as predicted by model B. Moreover, AFLP and morphological analysis showed that the offspring generation comprised genotypes and phenotypes covering the entire spectrum of variation between the two parental species, in line with model B. A common garden experiment indicated no systematic reduction in fitness of offspring derived from hybrid parents. The genetic structure of the adults in the Geum hybrid swarm cannot be explained by restricted mating patterns but may result from ecological selection acting on a diverse offspring population.     

Use of Ipomoea trifida germ plasm for sweet potato improvement. 3. Development of 4x interspecific hybrids between Ipomoea batatas (L.) Lam. (2n=6x=90) and I. trifida (H.B.K) G. Don. (2n=2x=30) as storage-root initiators for wild species

Summary More than 28,000 pollinations were carried out between 5 Ipomoea batatas and 41 diploid I. trifida accessions of diverse origins to obtain 4x interspecific hybrids. From the resultant 730 seeds, 248 plants were finally obtained. Ploidy level determination of the progeny showed unexpected results: 52 individuals were hexaploid, 5 were pentaploid, 190 were tetraploid, as expected, and one was not determined. The existence of 5x and 6x progenies from 6x x 2x crosses not only confirmed the presence of 2n gametes but also their successful function in gene flow between ploidy levels and polyploidization within this genus. The progeny and their cultivated parents were planted in an observation field. The cultivated parents produced 0.49 kg/plant or less. Most 4x progenies did not produce storage roots or had very poor yields; nonetheless, and despite their cultivated parents' poor yields, 8 genotypes yielded between 0.81 and 1.50 kg/plant.A new scheme, using the 4x interspecific hybrids, is proposed for evaluating 2x and 4x wild accessions of the section Batatas to which the sweet potato belongs. Other possible uses of the 4x hybrids in breeding and genetics of the sweet potato are also discussed.