Abstract

Although durum wheat (Triticum turgidum var. durum Desf.) is a minor cereal crop representing just 5–7% of the world’s total wheat crop, it is a staple food in Mediterranean countries, where it is used to produce pasta, couscous, bulgur and bread. In this paper, we cover multi-trait prediction of grain yield (GY), days to heading (DH) and plant height (PH) of 270 durum wheat lines that were evaluated in 43 environments (country–location–year combinations) across a broad range of water regimes in the Mediterranean Basin and other locations. Multi-trait prediction analyses were performed by implementing a multi-trait deep learning model (MTDL) with a feed-forward network topology and a rectified linear unit activation function with a grid search approach for the selection of hyper-parameters. The results of the multi-trait deep learning method were also compared with univariate predictions of the genomic best linear unbiased predictor (GBLUP) method and the univariate counterpart of the multi-trait deep learning method (UDL). All models were implemented with and without the genotype × environment interaction term. We found that the best predictions were observed without the genotype × environment interaction term in the UDL and MTDL methods. However, under the GBLUP method, the best predictions were observed when the genotype × environment interaction term was taken into account. We also found that in general the best predictions were observed under the GBLUP model; however, the predictions of the MTDL were very similar to those of the GBLUP model. This result provides more evidence that the GBLUP model is a powerful approach for genomic prediction, but also that the deep learning method is a practical approach for predicting univariate and multivariate traits in the context of genomic selection.

Highlights

  • Nowadays, wheat is the most widespread crop around the world, for it is cultivated on approximately 219 million hectares

  • In order to study the feasibility of using genomic selection (GS) methodology to select durum wheat genotypes early in time, we evaluated the prediction performance of three statistical learning methods, namely (i) the univariate best linear unbiased predictor (GBLUP), (ii) the multi-trait deep learning model (MTDL), and (iii) the univariate deep learning (UDL) model

  • We report the prediction accuracy in terms of mean arctangent absolute percentage error (MAAPE) obtained by implementing the random cross-validation with 80% TRN and 20% TST for each of the three methods, genomic best linear unbiased predictor (GBLUP), MTDL and UDL

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Summary

Introduction

Wheat is the most widespread crop around the world, for it is cultivated on approximately 219 million hectares. It is a basic staple food of mankind, since it provides 18% of the daily intake of calories and 20% of protein (Royo et al, 2017). Durum represents just 5–7% of the world’s total wheat crop, it is a staple food of the Mediterranean diet, widely recognized for its health benefits and the prevention of cardiovascular disease. Some durum wheat breeding programs are adopting genomic selection (GS) to accelerate early identification and selection of superior genotypes (Michel et al, 2019; Steiner et al, 2019). Applications of GS are common in many areas of animal and plant breeding since there is empirical evidence that this technology has the power to: (a) significantly reduce the time needed to develop new varieties or animals, (b) increase genetic gain in a shorter period of time, and (c) revolutionize the traditional way of developing plant and animals

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