Testcross selection theory

Summary The purpose of this paper is to extend the theoretical basis for testcross selection theory from models assuming two alleles per locus to a model which is general for number and frequency of alleles. The expectations of genetic variances expressed among and within testcross families is presented for both inbred and population testers. Predicted change due to selection in testcross, non-inbred and selfed population performance with testcross selection are derived. Expected changes in testcross heterosis and inbreeding depression in the population are also derived. Approximate confidence intervals for predicted selection response are developed and appropriate sets of progeny to evaluate in order to estimate parameters of interest are identified.Contribution from the Missouri Agricultural Experiment Station. Journal Series No. 10063     

A model for marker-assisted selection among single crosses with multiple genetic markers

 Trait means of marker genotypes are often inconsistent across experiments, thereby hindering the use of regression techniques in marker-assisted selection. Best linear unbiased prediction based on trait and marker data (TM-BLUP) does not require prior information on the mean effects associated with specific marker genotypes and, consequently, may be useful in applied breeding programs. The objective of this paper is to present a flanking-marker, TM-BLUP model that is applicable to interpopulation single crosses that characterize maize (Zea mays L.) breeding programs. The performance of a single cross is modeled as the sum of testcross additive and dominance effects at unmarked quantitative trait loci (QTL) and at marked QTL (MQTL). The TM-BLUP model requires information on the recombination frequencies between flanking markers and the MQTL and on MQTL variances. A tabular method is presented for calculating the conditional probability that MQTL alleles in two inbreds are identical by descent given the observed marker genotypes (G ^k _obs) at the kth MQTL. Information on identity by descent of MQTL alleles can then be used to calculate the conditional covariance of MQTL effects between single crosses given G ^k _obs. The inverse of the covariance matrix for dominance effects at unmarked QTL and MQTL can be written directly from the inverse of the covariance matrices of the corresponding testcross additive effects. In practice, the computations required in TM-BLUP may be prohibitive. The computational requirements may be reduced with simplified TM-BLUP models wherein dominance effects at MQTL are excluded, only the single crosses that have been tested are included, or information is pooled across several MQTL. Received: 22 June 1997 / Accepted: 25 February 1998     

Protein markers and seed size variation in common bean segregating populations

Selection and random genetic drift are the two main forces affecting allele frequencies in common bean breeding programs. Therefore, knowledge on allele frequency changes attributable to these forces is of fundamental importance for breeders. The changes in frequencies of alleles of biochemical markers were examined in F₂ to F₇ populations derived from crosses between cultivated Mesoamerican and Andean common bean accessions (Phaseolus vulgaris L.). Biochemical markers included the seed proteins phaseolin, lectin and other seed polypeptides, and six isozymes. The Schaffer’s test detected a high significant linear trend of the 63% of the polymorphic loci studied, meaning that directional selection was acting on those loci. Associations between seed size traits, phaseolin seed-storage protein and isozyme markers were detected based on the comparisons of the progeny genotypic means. In the interracial populations the intermediate form PhaH/T, b6, and Rbcs ⁹⁸ alleles had a positive effect on seed size. In the inter-gene pool populations, a higher transmission of Mesoamerican alleles in all loci was showed, although the Andean alleles Pha^T, Skdh ¹⁰⁰ , Rbcs ⁹⁸ , and Diap ¹⁰⁰ showed positive effects on seed weight. Our results suggest that phaseolin and other seed proteins markers are linked to loci affecting seed size. These markers have good potential for improving the results of the selection and should be considered as a strategy for germplasm enhancement and to avoid the reduced performance of the inter-gene pool populations.     

Identification of Quantitative Trait Loci Influencing Wood Specific Gravity in an Outbred Pedigree of Loblolly Pine

We report the identification of quantitative trait loci (QTL) influencing wood specific gravity (WSG) in an outbred pedigree of loblolly pine (Pinus taeda L.). QTL mapping in an outcrossing species is complicated by the presence of multiple alleles (>2) at QTL and marker loci. Multiple alleles at QTL allow the examination of interaction among alleles at QTL (deviation from additive gene action). Restriction fragment length polymorphism (RFLP) marker genotypes and wood specific gravity phenotypes were determined for 177 progeny. Two RFLP linkage maps were constructed, representing maternal and paternal parent gamete segregations as inferred from diploid progeny RFLP genotypes. RFLP loci segregating for multiple alleles were vital for aligning the two maps. Each RFLP locus was assayed for cosegregation with WSG QTL using analysis of variance (ANOVA). Five regions of the genome contained one or more RFLP loci showing differences in mean WSG at or below the P = 0.05 level for progeny as grouped by RFLP genotype. One region contained a marker locus (S6a) whose QTL-associated effects were highly significant (P > 0.0002). Marker S6a segregated for multiple alleles, a prerequisite for determining the number of alleles segregating at the linked QTL and analyzing the interactions among QTL alleles. The QTL associated with marker S6a appeared to be segregating for multiple alleles which interacted with each other and with environments. No evidence for digenic epistasis was found among the five QTL.     

Changes in Mean and Genetic Variance During Two Cycles of Within-family Selection in Switchgrass

Switchgrass (Panicum virgatum L.) is a candidate for cellulosic bioenergy feedstock development. Because biomass yield is the most important biological factor limiting the commercial development and deployment of switchgrass as a cellulosic bioenergy feedstock efforts must be undertaken to develop improved cultivars. The objectives of this study were (1) to conduct two cycles of within-family selection for increased biomass yield in WS4U switchgrass and (2) to simultaneously evaluate progress from selection relative to the mean of the original WS4U population. Each of the 150 WS4U families was subjected to phenotypic selection for vigor, seed production, and disease resistance. The mean of all families increased relative to the original WS4U population by 0.36 Mg ha^?1 cycle^?1 for biomass yield and 3.0% cycle^?1 for ground cover. Gains were uniform across two diverse evaluation locations, indicating that selection gains were robust relative to some variation in Hardiness Zone and soil type. Two cycles of within-family selection led to a homogenization of the diverse families, creating novel recombinations and reducing the family genetic variance to near zero. It is hypothesized that selection and recombination has led to replication of favorable alleles across pedigrees with differing genetic backgrounds, increasing the likelihood of including these favorable alleles in the progeny of future selections. The rate of genetic progress is expected to increase in future cycles of selection with a combination of within-family phenotypic selection and half-sib progeny testing of selected families.     

Genetic Map Construction and Detection of Genetic Loci Underlying Segregation Distortion in an Intraspecific Cross of Populus deltoides

Based on a two-way pseudo-testcross strategy, high density and complete coverage linkage maps were constructed for the maternal and paternal parents of an intraspecific F2 pedigree of Populus deltoides. A total of 1,107 testcross markers were obtained, and the mapping population consisted of 376 progeny. Among these markers, 597 were from the mother, and were assigned into 19 linkage groups, spanning a total genetic distance of 1,940.3 cM. The remaining 519 markers were from the father, and were also were mapped into 19 linkage groups, covering 2,496.3 cM. The genome coverage of both maps was estimated as greater than 99.9% at 20 cM per marker, and the numbers of linkage groups of both maps were in accordance with the 19 haploid chromosomes in Populus. Marker segregation distortion was observed in large contiguous blocks on some of the linkage groups. Subsequently, we mapped the segregation distortion loci in this mapping pedigree. Altogether, eight segregation distortion loci with significant logarithm of odds supports were detected. Segregation distortion indicated the uneven transmission of the alternate alleles from the mapping parents. The corresponding genome regions might contain deleterious genes or be associated with hybridization incompatibility. In addition to the detection of segregation distortion loci, the established genetic maps will serve as a basic resource for mapping genetic loci controlling traits of interest in future studies.     

Mapping quantitative trait loci using molecular marker linkage maps

Summary High-density restriction fragment length polymorphism (RFLP) and allozyme linkage maps have been developed in several plant species. These maps make it technically feasible to map quantitative trait loci (QTL) using methods based on flanking marker genetic models. In this paper, we describe flanking marker models for doubled haploid (DH), recombinant inbred (RI), backcross (BC), F₁ testcross (F₁TC), DH testcross (DHTC), recombinant inbred testcross (RITC), F₂, and F₃ progeny. These models are functions of the means of quantitative trait locus genotypes and recombination frequencies between marker and quantitative trait loci. In addition to the genetic models, we describe maximum likelihood methods for estimating these parameters using linear, nonlinear, and univariate or multivariate normal distribution mixture models. We defined recombination frequency estimators for backcross and F₂ progeny group genetic models using the parameters of linear models. In addition, we found a genetically unbiased estimator of the QTL heterozygote mean using a linear function of marker means. In nonlinear models, recombination frequencies are estimated less efficiently than the means of quantitative trait locus genotypes. Recombination frequency estimation efficiency decreases as the distance between markers decreases, because the number of progeny in recombinant marker classes decreases. Mean estimation efficiency is nearly equal for these methods.     

Testing for linkage disequilibrium in the New Zealand radiata pine breeding population

Linkage analysis is commonly used to find marker-trait associations within the full-sib families of forest tree and other species. Study of marker-trait associations at the population level is termed linkage-disequilibrium (LD) mapping. A female-tester design comprising 200 full-sib families generated by crossing 40 pollen parents with five female parents was used to assess the relationship between the marker-allele frequency classes obtained from parental genotypes at SSR marker loci and the full-sib family performance (average predicted breeding value of two parents) in radiata pine (Pinus radiata D. Don). For alleles (at a marker locus) that showed significant association, the copy number of that allele in the parents was significantly correlated, either positively or negatively, with the full-sib family performance for various economic traits. Regression of parental breeding value on its genotype at marker loci revealed that most of the markers that showed significant association with full-sib family performance were not significantly associated with the parental breeding values. This suggests that over-representation of the female parents in our sample of 200 full-sib families could have biased the process of detecting marker-trait associations. The evidence for the existence of marker-trait LD in the population studied is rather weak and would require further testing. The exact test for genotypic disequilibrium between pairs of linked or unlinked marker loci revealed non-significant LD. Observed genotypic frequencies at several marker loci were significantly different from the expected Hardy-Weinberg equilibrium. The possibilities of utilising marker-trait associations for early selection, among-family selection and selecting parents for the next generation of breeding are also discussed.     

Exploiting EST databases for the development and characterization of EST-SSRs in the Pacific oyster (Crassostrea gigas)

A total of 147 microsatellite-containing expressed sequence tags (ESTs) (3.63%) were detected from 4053 ESTs of the Pacific oyster (Crassostrea gigas) in GenBank. The average density of simple sequence repeats (SSRs) was 1 per 8.25 kb of EST after redundancy elimination. Dinucleotide repeat motifs appeared to be the most abundant type. Sixteen new polymorphic EST-SSRs were developed. The number of alleles per locus varied from 3 to 12, with an average of 5.9 alleles per locus. Marker transferability was tested on 2 other Crassostrea species, and 14 loci gave successful amplifications in both species. Twenty EST-SSRs were tested on 3 families of C. gigas for examination of inheritance mode of EST-SSRs. Thirty-five tests of segregation ratios revealed 5 significant departures from expected Mendelian ratios, 4 of which confirmed Mendelian expectations when accounting for the presence of null alleles. Null alleles were detected at 3 loci (15.0%) of the 20 loci, and the frequency of null alleles at EST-SSRs was lower than that in genomic SSRs in C. gigas. The results obtained in this study suggest that C. gigas EST-SSRs will complement the currently available genomic SSR markers and may be useful for comparative mapping, marker-assisted selection, and evolutionary studies.     

Some Genetic Consequences of Changes in the Level of recA Gene Function in ESCHERICHIA COLI K-12

Genetic recombination was studied in E. coli mutants that carry lesions in the recA gene but retain some capacity for generating recombinant progeny. We observed that recombination was detectable only at a very low level during the incubation of leaky RecA^- merozygotes in broth. However, recombination appeared to occur at much higher frequencies when recombinant progeny were assayed by selection on minimal agar. Analysis of the recombinants obtained with Hfr donors revealed a deficiency of multiple exchanges per unit length of DNA in leaky RecA ^- strains. In many of these crosses recombinants that inherited donor alleles close to the transfer origin were much reduced in frequency, except when the recipient was also RecB^-.     

RAPD linkage mapping in a longleaf pine x slash pine F1 family

Random amplified polymorphic DNAs (RAPDs) were used to construct linkage maps of the parent of a longleaf pine (Pinus palustris Mill.) slash pine (Pinus elliottii Englm.) F₁ family. A total of 247 segregating loci [233 (1∶1), 14 (3∶1)] and 87 polymorphic (between parents), but non-segregating, loci were identified. The 233 loci segregating 1∶1 (testcross configuration) were used to construct parent-specific linkage maps, 132 for the longleaf-pine parent and 101 for the slash-pine parent. The resulting linkage maps consisted of 122 marker loci in 18 groups (three or more loci) and three pairs (1367.5 cM) for longleaf pine, and 91 marker loci in 13 groups and six pairs for slash pine (952.9 cM). Genome size estimates based on two-point linkage data ranged from 2348 to 2392 cM for longleaf pine, and from 2292 to 2372 cM for slash pine. Linkage of 3∶1 loci to testcross loci in each of the parental maps was used to infer further linkages within maps, as well as potentially homologous counterparts between maps. Three of the longleaf-pine linkage groups appear to be potentially homologous counterparts to four different slash-pine linkage groups. The number of heterozygous loci (previously testcross in parents) per F₁ individual, ranged from 96 to 130. With the 87 polymorphic, but non-segregating, loci that should also be heterozygous in the F₁ progeny, a maximum of 183–217 heterozygous loci could be available for mapping early height growth (EHG) loci and for applying genomic selection in backcross populations.     

Genetic studies on free-ranging macaques of Cay Santiago. II. 6-phosphogluconate dehydrogenase and NADH-methemoglobin reductase (NADH-diaphorase).

For the population of 395 semi-free-ranging rhesus macaques (Macaca mulatta) that inhabited Cayo Santiago in 1976, 6-phosphogluconate dehydrogenase phenotypes of 378 animals were determined. Three phenotypes, controlled by two autosomal codominant alleles,PGD^A andPGD^B, were found by electrophoretic methods. The frequencies of the alleles are 0.898 and 0.102, respectively. The population, composed of five troops and peripheral males, is in Hardy-Weinberg equilibrium at this locus. The allele frequencies at the 6-phosphogluconate dehydrogenase locus in the population in 1976 were compared with frequencies in 1973; a statistically significant difference was found in one troop. The phenotypes of NADH-methemoglobin reductase (NADH-diaphorase) were determined electrophoretically for 372 animals. These phenotypes are probably the products of two autosomal codominant alleles,Dia¹ andDia², with frequencies of 0.786 and 0.214, respectively. The population is in equilibrium at this locus also. Tests of homogeneity at the dehydrogenase and reductase loci indicate that the allele frequencies are significantly different among the five troops in the population. Observed and expected phenotypic ratios in progeny were compared at the dehydrogenase and the reductase loci. The only significant deviation from expectation occurs among offspring of mothers heterozygous at the reductase locus. The observed distributions of alleles at the 6-phosphogluconate dehydrogenase locus and the NADH-methemoglobin reductase locus are probably the results of stochastic processes.     

Distribution of Allelic Forms of Erythrocyte H1 Histones in Japanese Quail Populations Divergently Selected for Amount of Weight Loss After Transient Starvation

Three polymorphic subtypes of erythrocytehistone H1 (H1.a, H1.b, and H1.z) were analyzed using asodium dodecyl sulfate polyacrylamide gel in quailpopulations divergently selected for a high (line 1) or low (line 2) reduction in body massfollowing temporary food withdrawal. Both H1.b and H1.zhistone alleles were found to be differently distributedin these populations during the selection period. The frequency of b¹ in line 2 wasapproximately 1.9-2.8 times lower than in line 1 andapproached the values in line 1 when the selection wassuspended. Similarly, the frequency of allelez² at locus H1.z increased significantly (about 1.6-2.3 times)in line 2 during selection and returned to the initialvalues when selection was stopped. On the other hand,allele a⁰ at locus H1.a was kept atrelatively low levels (usually below 0.05) in both linesduring selection. At that time its level wasapproximately three to four times lower than in a randommating control population. When selection was suspended, the frequency of a⁰ in line 1increased significantly, approaching the values in thecontrol line, and remained essentially unchanged in line2. Thus, all three polymorphic histone H1 loci in quailresponded through changes in allele frequencies to thebreeding selection, which was directed at the amount ofbody weight loss upon transient starvation. It seemsthat either H1 histone locus could be linked to loci controlling the rate of body weightreduction following starvation or weight loss duringfasting might be influenced by a panel of H1 histonealleles that can contribute to functional differences in avian chromatin.     

Genotypic effects on the frequency of homoeologous and homologous recombination in <Emphasis Type="Italic">Brassica napus</Emphasis> × <Emphasis Type="Italic">B. carinata</Emphasis> hybrids

We investigated the influence of genotype on homoeologous and homologous recombination frequency in eight different Brassica napus (AACⁿCⁿ) × B. carinata (BBC^cC^c) interspecific hybrids (genome composition CⁿC^cAB). Meiotic recombination events were assessed through microsatellite marker analysis of 67 unreduced microspore-derived progeny. Thirty-four microsatellite markers amplified 83 A-, B-, Cⁿ- and C^c-genome alleles at 64 loci, of which a subset of seven markers amplifying 26 alleles could be used to determine allele copy number. Hybrid genotypes varied significantly in loss of A- and B-genome alleles (P < 0.0001), which ranged from 6 to 22% between hybrid progeny sets. Allele copy number analysis revealed 19 A–C, 3 A–B and 10 B–C duplication/deletion events attributed to homoeologous recombination. Additionally, 55 deletions and 19 duplications without an accompanying dosage change in homoeologous alleles were detected. Hybrid progeny sets varied in observed frequencies of loss, gain and exchange of alleles across the A and B genomes as well as in the diploid C genome. Self-fertility in hybrid progeny decreased as the loss of B-genome loci (but not A-genome loci) increased. Hybrid genotypes with high levels of homologous and homoeologous exchange may be exploited for genetic introgressions between B. carinata and B. napus (canola), and those with low levels may be used to develop stable synthetic Brassica allopolyploids.     

Selection at the Esterase-2 Locus of Drosophila buzzatii? Perturbation-Reperturbation Experiments

Apparent selection affecting starch gel electrophoretic alleles at the Esterase-2 locus of Drosophila buzzatii has been detected in laboratory and natural populations. Perturbation-reperturbation of allele frequencies in replicated laboratory populations attempts to test direct selective effects at the locus versus effects of linked loci. Sequential gel electrophoresis has identified more alleles within starch classes, and three of these alleles (within the a, b and c starch alleles) were used in cage population experiments. Allele a/1.00/1.00/1.00 was set up in 10 replicate populations with allele c/1.00/1.00/1.00, and in an independent 10 replicate populations with allele b/0.99/1.01/1.00. For each set, three reperturbations were done. Replicate populations generally showed similar patterns of allele frequency change and clear directionality: effects of selection, not drift. However, four populations deviated from their replicates, indicating dissipation of linkage disequilibrium. Estimates of pre-adult viability in the F₂ of pair-wise crosses among 12 sequential gel electrophoretic alleles showed very variable modes of inheritance and relative viability fitnesses. Together with the diversity of patterns of allele frequency change in the cage populations, these results suggest a gene complex, with selection acting on an interacting set of loci which may include Esterase-2.     

Statistical genetic considerations for maintaining germ plasm collections

One objective of the regeneration of genetic populations is to maintain at least one copy of each allele present in the original population. Genetic diversity within populations depends on the number and frequency of alleles across all loci. The objectives of this study on outbreeding crops are: (1) to use probability models to determine optimal sample sizes for the regeneration for a number of alleles at independent loci; and (2) to examine theoretical considerations in choosing core subsets of a collection. If we assume that k-1 alleles occur at an identical low frequency of p₀ and that the k^th allele occurs at a frequency of 1-[(k-1)p₀], for loci with two, three, or four alleles, each with a p₀ of 0.05, 89–110 additional individuals are required if at least one allele at each of 10 loci is to be retained with a 90% probability; if 100 loci are involved, 134–155 individuals are required. For two, three, or four alleles, when p₀ is 0.03 at each of 10 loci, the sample size required to include at least one of the alleles from each class in each locus is 150–186 individuals; if 100 loci are involved, 75 additional individuals are required. Sample sizes of 160–210 plants are required to capture alleles at frequencies of 0.05 or higher in each of 150 loci, with a 90–95% probability. For rare alleles widespread throughout the collection, most alleles with frequencies of 0.03 and 0.05 per locus will be included in a core subset of 25–100 accessions.     

标记辅助回交育种中所需最小样本容量的近似估计

回交育种是把有利基因从供体亲本向受体亲本转移的一种有效方法,标记辅助选择可加速其进程。为了制定合理的标记辅助选择计划,育种家必须知道所需的后代群体大小。该文提出了一种估算在标记辅助回交育种中同时进行前景选择和背景选择所需群体大小的方法。在假定所需转移的目标基因座与遗传背景之间为相互独立的简化假设下,可以通过将解析方法（针对前景选择）与基于回交亲本图示基因型的模拟方法（针对背景选择）相结合,近似地估计出在每一世代中选到所需基因型的概率,进而估算出在一定概率水平下至少获得一个符合要求的个体所需的最小样本容量,用假想的例子演示了该方法的使用情况。该方法可以很方便地应用于实际的回交育种。     

Genetic crosses in the apicomplexan parasite Cryptosporidium parvum define recombination parameters

Recombinant progeny lines of Cryptosporidium parvum were generated by coinfecting immunosuppressed mice with two genetically distinct isolates of C. parvum. Progeny lines were obtained from a cross of parental lines MD x TU114 through targeted propagation in mice of progeny oocysts originating from populations lacking one parental allele at one or more loci. For each infection lineage this process was repeated until only a single allele remained for each marker, indicating that the progeny line was clonal. To study genetic recombination, 16 progeny clones were genotyped at 40 loci located on each of the eight chromosomes. The inheritance of parental alleles was significantly skewed towards the more virulent parent isolate MD. A contiguous 476 kb segment of chromosome V displayed MD allele in all progeny recovered, while MD and TU114 alleles were detected at other loci throughout the genome. The absence of alleles from one parental isolate in this chromosomal region may indicate phenotypic selection for the MD allele during the generation of these lines. A range for the meiotic crossover frequency was determined on the basis of 40 markers and the number of meioses estimated to have taken place during the crossing experiment. C. parvum exhibits a high rate of recombination commensurate with other Apicomplexa.     

Genetic drift and selection effects of modified recurrent full-sib selection programs in two F2 populations of European flint maize

Selection response of a modified recurrent full-sib (FS) selection scheme conducted in two European flint F₂ maize (Zea mays L.) populations was re-evaluated. Our objectives were to (1) determine the selection response for per se and testcross performance in both populations and (2) separate genetic effects due to selection from those due to random genetic drift. Modified recurrent FS selection was conducted at three locations using an effective population size N _e = 32 and a selection rate of 25% for a selection index, based on grain yield and grain moisture. Recombination was performed according to a pseudo-factorial mating scheme. Selection response was assessed using a population diallel including the source population and advanced selection cycles, as well as testcrosses with unrelatesd inbred line testers and the parental F₁ generation. Selection response per cycle was significant for grain yield and grain moisture in both populations. Effects of random genetic drift caused only a small reduction in the selection response. No significant selection response was observed for testcrosses, suggesting that for heterotic traits, such as grain yield, a high frequency of favorable alleles in the elite tester masked the effects of genes segregating in the populations. We conclude that our modified recurrent FS selection is an alternative to other commonly applied intrapopulation recurrent selection schemes, and some of its features may also be useful for increasing the efficiency of interpopulation recurrent selection programs.     

Association between line per se and testcross performance for eight agronomic and quality traits in winter rye

Key message

We investigated associations between line per se and testcross performance in rye and suggested that selection for per se performance is valuable for several traits in multi-stage selection programs.

Abstract

Genotypic correlation between line per se and testcross performance is an important quantitative-genetic parameter for optimizing hybrid breeding programs. The main goal of this survey was to study the association of line per se and testcross performance at the phenotypic level. We used experimental data from the line per se and testcross performance of two segregating winter rye populations (A, B) with each of 220 progenies tested in six environments for eight agronomic and quality traits. Genotypic variances were considerably larger for per se than for testcross performance of all investigated traits resulting in higher heritabilities of the former in most instances. Genotypic correlations (r _g) between testcross and line per se performance decreased with increasing complexity of the trait as shown by the respective heritabilities. They were highest (r _g ≥ 0.7) for plant height and test weight in population B, and thousand-kernel weight, falling number and starch content in both populations. A selection of these traits for line per se performance in early generations will save field plots in further testing testcross performance and increase efficiency of hybrid breeding.