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The identification, selection and propagation of superior individuals builds the foundation of all breeding efforts. The breeding potential of a candidate is classically determined by its breeding value (BV), the sum of all additive effects at quantitative trait loci (QTL) affecting a complex trait ([@bib18]). While BVs have been estimated in progeny tests, [@bib20] proposed genomic selection (GS) to predict BVs prior to phenotypic evaluation. The principle is to use genome-wide marker data and phenotypes of training individuals to calculate locus-specific allele substitution effects. Genomic estimated breeding values (GEBVs) are then calculated as predictors of BVs. Selecting individuals ranked according to their BVs maximizes the population mean of the next cycle when they are recombined, but a repeated application of this selection strategy does not necessarily maximize long-term genetic gain over several generations ([@bib31]; [@bib17]). GEBVs, as predictors of BVs, are subject to the same constraints. This suboptimal behavior can be explained by the fact that GEBVs are simple genome-wide sums of estimates of allele substitution effects, which can conceal the contribution of favorable alleles with small effects. The later are less relevant for short-term gain and can be easily lost, especially if their frequency is low, but can play an important role for long-term gain by maintaining useful genetic variance ([@bib15]; [@bib17]). To prevent the loss of rare favorable alleles, [@bib7] proposed a modified GEBV that weights estimated allele substitution effects using the frequencies of favorable alleles, such that rare alleles receive a higher weight. This criterion does not take into account the magnitude of the effects based on the premise that, for optimal long-term genetic gain, all favorable alleles should ultimately be fixed. Later, [@bib15] suggested a modification called weighted GS, herein referred to as weighted GEBV (wGEBV). This considers also the magnitude of the effects, because especially for QTL with small effects determining which allele is the favorable one is problematic. wGEBV proved to be superior to GEBVs in terms of long-term genetic gain (19 cycles) in spring barley (*Hordeum vulgare* L., [@bib15]). Differential weighting of substitution effects does not take into account other important information often available at no extra cost, such as genetic map positions of loci and linkage phases of alleles at different loci. New selection criteria utilizing this information could be defined based on the prospects that candidates produce superior gametes with favorable combinations of haplotypes. While the average performance of progeny of such candidates might be inferior to that of individuals selected on GEBVs alone, the top-performing individuals in the progeny are expected to be superior, which boosts the genetic gain achievable in future generations. In this vein, [@bib5] recently proposed a criterion called optimal haploid value (OHV), which aims at predicting the theoretically optimal combination of haplotypes in a gamete produced from a heterozygous candidate. The criterion was tested in simulations of a bread wheat breeding program and showed increased genetic gain compared to selection on GEBVs. In their study, genetic progress was measured as the performance of the best doubled