2.1. Yield Per Plant
The ANOVA results for yield per plant according to Griffing’s methods two and four (with genotypes as fixed and replicates as random effects) are reported in
Table 2. Even if we used both methods, the differences of the genetic variances suggested to omit method two from consideration [
20]. Highly significant mean squares for all sources of variation (
p < 0.001) indicated ample differences amongst the six environments and amongst entries. Significant G × E interaction recommended looking at the variation in each environment separately.
The GCA variance was several times higher than SCA’s (GCA/SCA = 7.8), clearly indicating that additive gene actions are more important than non-additive ones. Moreover, the ANOVA for yield per plant carried out in each environment always showed significant differences at the entries and the GCA sources (
Table 3), while SCA was significant only in 2015 and in Latina 2016. GCA values of PI414723 and PI161375 were the highest (
Table 4), contributing with values up to 4.056 and 3.161 Kg plant
-1, respectively. In fact, the highest ranking hybrids (LsM) were those having them as parents in combination with Ita1, Ogen, and Magyar Kincs and between themselves (
Table 5). On the other hand, Vedrantais, Top Mark, and Ita1 had the lowest GCAs; the crosses Ita1 × Top Mark in Perugia 2015 and Latina 2016 ranked at the bottom of the list, but the worst performances across the three environments were recorded by Ita1 × Top Mark and Vedrantais × Ita1. Ogen × Magyar Kincs ranked almost at the bottom in both years in Latina. It is evident that parents from the same or from a close genetic cluster (
Table 1) gave rise to low performing hybrids in terms of SCA as well. In fact, SCA values of crosses whose parents were PI414723 or PI161375 were most often the highest, but PI414723 × PI161375 ranked last in Perugia 2015 and midway in Latina 2015 and 2016, most probably due to similar genetic assets. Despite this, the genetic distances were not correlated with LsM and SCA effects (data not shown).
Orthogonal comparisons between hybrids and parents for yield per plant were highly significant in all environments (
Table S1) and, according to Olfati et al. [
21], the significant differences indicate the presence of average heterosis or MPH. The best parent heterosis for yield was positive in 19, 23, and 27 hybrids out of 28 in Latina 2015, Perugia 2015, and Latina 2016, respectively (
Table 5). In particular, the maximum BPH value (94.66) was recorded by the hybrid Top Mark × PI161375 in Perugia 2015, thus confirming its highest SCA value. In general, while in Latina PI414723 was the best contributing parent in terms of heterosis, in Perugia, the most interesting lines were PI161375 and Hale’s Best Jumbo. Therefore, on the basis of LsM, it can be stated that, in Latina, PI414723 performed the best in crossing with Vedrantais, Ita1, Ogen, and Magyar Kincs, while in Perugia it was PI161375 performing the best with Ogen, Top Mark, and Hale’s Best Jumbo.
Apart from the value 0.18 found in Latina 2015 (not reliable because the GCA variance was not significant), the narrow sense heritability estimates for yield per plant (
Table 6) ranged from 0.51 (Latina 2014 and Perugia 2015) to 0.77 (Perugia 2014).
These values are in agreement with those reported by Feyzan [
22], Zalapa et al. [
23,
24], and Kalb and Davis [
25]. Although traits such as yield are generally strongly polygenic, the heritability estimates from the present experiment indicate that it is possible to achieve good selection gains. At the same time, since genetic distance was not even correlated with BPH and MPH, it is difficult to predict the yield of a hybrid only by this kind of genomic tool, as reported also by Kaushik et al. [
26].
GGE biplot was used to validate the results of Griffing’s method four, as it is able to display graphically and simultaneously the GCA values of all parents and their best combinations (SCA values). The method is similar to the GGE biplot used in multi-environment trials data analysis. In Latina 2015 (
Figure 1c), the GCA ranking was PI161375 > PI414723 > Ita1 ≈ Magyar Kincs ≈ Hale’s Best Jumbo ≈ Top Mark > Vedrantais ≈ Ogen; this is in accordance with the Griffing’s GCA ranking reported in
Table 4, except for Ogen ranking fifth rather than last. PI414723 showed the best SCA values with the testers Ogen, Vedrantais, Ita1, and PI161375 but the lowest with Top Mark and PI414723; the opposite was true for PI161375. Comparing these results with those reported in
Table 4, we found again a close agreement. Confining the comments only to the results where the SCAs were significant (Latina and Perugia in 2015 and Latina in 2016, in
Figure 1c–e, respectively), it is clear that Vedrantais and PI161375 were always on the same average tester coordinates (ATC) side, while Top Mark and PI414723 were on the opposite side.
The polygon view (
Figure 2) was obtained by joining the vertex of the entries whose coordinates were furthest from the plot origin (black lines) and dividing the polygon into sectors (red lines). It is possible to spot the best hybrid LsM by identifying the testers falling in the same sector where the entry is at the vertex. If a tester falls into the sector of its own entry, selfing is superior to crossing, and heterosis is low or nil. This was reported by Dehghani et al. [
10] in a diallel scheme using Iranian landraces, but we did not find a similar pattern in any environment of our investigation because selfed parents always fell into opposite sectors.
The entries at the vertex with the largest distances from the origin are more responsive than others to the change of testers [
7]. Indeed, in the case of Latina 2015 (
Figure 2c), for example, GGE biplot indicates that PI414723 and PI161375 were the best mating parents, while Vedrantais and Top Mark were the poorest. Therefore, PI414723 provides the best hybrid combination with Vedrantais, Ogen, and PI161375, while PI161375 does the same with Ita1, Top Mark, Magyar Kincs, Hale’s Best Jumbo, and PI414723. Comparing
Figure 2 with the results reported in
Table 5, it is possible to confirm that the GGE biplot is suitable in easily spotting the best combiners and thus to validate Griffing’s results.
Concerning Perugia 2015 (
Figure 2d), tester eight in sector four was predicted to be the best mating partner for Top Mark and tester four in sector eight was predicted to be the best partner for PI161375. Top Mark and PI161375 were, therefore, identified to be the best partners to one another and, according to Yan and Hunt [
7], Top Mark × PI161375 must be the best of all possible combinations. For the same reason, also Vedrantais × PI414723 was another superior cross in Perugia 2015. Comparing these findings with the results reported in
Table 5, we could not identify heterotic groups or patterns for yield per plant.
2.2. Total Soluble Solids (TSS)
Except for SCA and Env × SCA, all sources of variation for TSS in combined ANOVA (
Table 2) were highly significant (
p < 0.001), requiring a separate analysis for each environment. Similarly, yield per plant entries and GCA sources were always significant, whereas SCA was never significant, indicating for this trait only additive gene actions (
Table 3). GCA values of Ita1 and Vedrantais were the highest (up to 1.712 and 1.502 °Brix, respectively), while those of Magyar Kincs and PI414723 were the lowest (
Table 4). In particular, PI414723 ranged from −1.078 to −2.496 °Brix. For TSS, the GCA variances across environments were high and always significant, whereas the SCAs were too low to be significant, and thereby the estimates of narrow and broad sense heritability were identical and ranged from 0.27 in Latina 2014 to 0.49 in Perugia 2015 (
Table 6).
By examining
Table 4, it is evident that PI414723 was the best contributing parent for yield and, at the same time, the lowest in TSS, and the opposite was true for Vedrantais. Concerning LsM, ITA1 × Top Mark and Vedrantais × Ita1 ranked almost always at the top, followed by Vedrantais × Hale’s Best Jumbo and Vedrantais × PI161375 (
Table 7). With the exception of Perugia 2014, orthogonal comparisons for TSS always showed a strong superiority (
p < 0.001) of hybrids over parents (
Table S1), indicating the presence of heterosis also for this trait. Looking at the MPH values, the positive contribution of PI161375 in increasing TSS in many crosses is evident. In fact, with the exception of Perugia 2014 (with as many as 18 negative values out of 28), Vedrantais × PI161375 ranked almost at the top in all environments, and similar behavior was shown by PI414723 × PI161375. Examining BPH values and excluding Perugia 2014 (with 23 negative values out of 28), we observed the same trend—the highest heterosis was recorded in almost all crosses with PI161375, even with PI414723, which resulted in the worst parent. Even if PI161375 did not originate hybrids with the highest LsM, it was the better parent combining with almost all other lines, and this was probably due to additive genes and additive × additive gene actions.
Since SCA was not significant, it was not possible to correlate GD with SCA effects. However, in Perugia 2014, genetic distance showed a significant correlation with MPH (r = 0.49, p < 0.05) and BPH (r = 0.42, p < 0.05) but, as reported above, the behavior of the entries in this environment was unusual and should not be considered reliable. However, GD showed significant correlations with LsM in Latina 2015 (r = 0.46, p < 0.05), Perugia 2015 (r = 0.57, p < 0.05), and Latina 2016 (r = 0.50, p < 0.05), thus the genetic relationship between parents could be useful to be known in advance although insufficient to predict the TSS of a given cross.
2.3. Earliness
Earliness is the target of many breeding programs. It was assessed in number of days from transplant to ripening (DTR) considering only the first five fruits per plot (i.e., the first wave of fruit setting with the highest commercial importance). Low DTR values of GCA, SCA, MPH, and BPH indicate earliness of parents and hybrids.
Except for Env × SCA, the combined ANOVA sources for earliness were all highly significant (
p < 0.001,
Table 2). Looking at the ANOVAs in individual environments, SCA source was always significant except for Perugia in 2015, while entries and GCA were highly significant in all environments (
Table 3). Feyzian et al. [
22] reported that it is SCA that significantly affects the differences in maturity, while our results, with the exception of Latina 2016, indicate a greater importance of additive gene actions in all environments, with GCA/SCA ratio ranging from 2.23 to 7.52 (
Table 6).
PI414723 always had the highest GCA, conferring to the hybrids at least three days of earliness, followed by Magyar Kincs in Perugia and by Vedrantais in Latina (
Table 4). In fact, the earliest ripening hybrids were Magyar Kincs × PI414723, Vedrantais × PI414723 and PI414723 × PI161375 (
Table 8). Conversely, Ita1 was the line mostly contributing to lateness; Ita1 × Top Mark, Ita1 × PI161375, Ita1 × Ogen and Ita1 × Magyar Kincs were amongst the latest ripening hybrids. Interestingly, the crosses Vedrantais × Hale’s Best Jumbo, Vedrantais × Magyar Kincs and Vedrantais × PI161375 were the earliest in Latina but amongst the latest in Perugia. These differences were mostly due to the contrasting number of days to ripening shown by the parents in the two locations, with a difference in DTR for the same parent ranging from six to 13 days (data not shown). Concerning SCA rankings, there was a trend across the five environments, with some crosses often at the top (i.e., Top Mark × PI161375, Ita1 × Hale’s Best Jumbo, Vedrantais × Ita1 and Ita1 × PI414723) and some others consistently at the bottom (Ita1 × PI161375 and Vedrantais × Top Mark). Above all, Ita1 × PI161375 was always characterized by high SCA and late ripening values.
Interestingly, orthogonal comparisons between parents and hybrids for DTR were highly significant (
p < 0.001) in Perugia in all years and significant in Latina (
p < 0.05) only in 2016 (
Table S1). In all cases, these differences were negatives, indicating that the pools of hybrids were ripening earlier by a few days compared to the parents, therefore indicating the effect of heterosis. In fact, BPH values showed an opposite trend between the two sites; in Perugia 2014 and 2016, as many as 18 and 17 out of 28 hybrids, respectively, showed negative values, while in Latina, we found only four, one, and five out of 28 hybrids showing heterosis for earliness (
Table 8). Moreover, in Perugia, the crosses with PI414723 as a parent, i.e., Hale’s Best Jumbo × PI414723, Top Mark × PI414723, Vedrantais × PI414723 and Ita1 × PI414723, showed the lowest BPHs, while in Latina, their BPHs were positive.
Narrow sense heritability for earliness (
Table 6) ranged from 0.41 in Perugia 2016 to 0.82 in Latina 2015. Examining all values together, the narrow sense heritability was always higher in Latina than in Perugia, indicating that, in the case of selection for earliness, this must be conducted separately in each location, and Latina seems to be more suitable than Perugia, as resulted from the magnitude of their respective error variances (σ
2E).
Similar to yield per plant, for earliness, no significant correlations were found between GD on one side and LsM, SCA effects, BPH, and MPH values on the other. Even using all traits together in a multivariate dimension (Mahalanobis’ and Euclidean distances), it was not possible to find a correlation with GD.