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Bo-Wen Zhang, Lin-Lin Xu, Nan Li, Peng-Cheng Yan, Xin-Hua Jiang, Keith E Woeste, Kui Lin, Susanne S Renner, Da-Yong Zhang, Wei-Ning Bai, Phylogenomics Reveals an Ancient Hybrid Origin of the Persian Walnut, Molecular Biology and Evolution, Volume 36, Issue 11, November 2019, Pages 2451–2461, https://doi.org/10.1093/molbev/msz112
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Abstract
Persian walnut (Juglans regia) is cultivated worldwide for its high-quality wood and nuts, but its origin has remained mysterious because in phylogenies it occupies an unresolved position between American black walnuts and Asian butternuts. Equally unclear is the origin of the only American butternut, J. cinerea. We resequenced the whole genome of 80 individuals from 19 of the 22 species of Juglans and assembled the genome of its relatives Pterocarya stenoptera and Platycarya strobilacea. Using phylogenetic-network analysis of single-copy nuclear genes, genome-wide site pattern probabilities, and Approximate Bayesian Computation, we discovered that J. regia (and its landrace J. sigillata) arose as a hybrid between the American and the Asian lineages and that J. cinerea resulted from massive introgression from an immigrating Asian butternut into the genome of an American black walnut. Approximate Bayesian Computation modeling placed the hybrid origin in the late Pliocene, ∼3.45 My, with both parental lineages since having gone extinct in Europe.
Introduction
Persian walnut (Juglans regia L.) is a nut crop of considerable economic importance. According to FAO statistics (http://www.fao.org/, accessed December 2018), China leads world production with 350,000 tons in 1997, followed by California, Turkey, and Iran. The origin and evolutionary history of the Persian walnut, however, are not understood, complicating the development of strategies to conserve germplasm. The genus Juglans (walnuts and butternuts) consists of ∼22 species distributed in the Americas, southeastern Europe, and eastern Asia (supplementary fig. S1, Supplementary Material online, shows species distributions). All are wind pollinated and diploid (with 2n = 32 chromosomes), and many are known to hybridize in the wild and in cultivation. Taxonomic studies commonly accept three or four sections based on fruit morphology and foliage architecture (Manning 1978; Manchester 1987). Section Juglans (including the younger synonym Dioscaryon) consists of the Persian walnut, native to Eurasia, and J. sigillata (known as Iron walnut), an ecotype maintained as a landrace in southwestern China and hybridizing naturally with Persian walnut (Wang et al. 2015; Zhao et al. 2018). Section Rhysocaryon (black walnuts) includes 16 species from North America, Central America, and South America (Stone et al. 2009), and section Cardiocaryon (butternuts or white walnuts) includes three species from eastern Asia (Lu et al. 1999) and one, J. cinerea, from eastern North America.
Phylogenies based on RFLPs and plastid and nuclear loci have supported major clades of North American, Asian, and Persian walnuts but have been unable to resolve their relationships to each other (Fjellstrom and Parfitt 1995; Stanford et al. 2000; Manos and Stone 2001; Aradhya et al. 2007; Stone et al. 2009; Dong et al. 2017). Equally unclear is the phylogenetic position of the American J. cinerea, which shifts from being a member of the Asian butternut clade in nuclear trees to becoming a member of the North American black walnut clade in plastid trees (Aradhya et al. 2007; Dong et al. 2017). In pilot analyses using quartet frequencies on 2901 single-copy nuclear genes from 19 species, we were able to exclude incomplete lineage sorting as the cause of the phylogenetic uncertainty (supplementary section S1 and tables S1 and S2, Supplementary Material online), leading us to speculate that ancient hybridization might be involved in the origin of the Persian walnut and the American butternut. Hybridization has played a central role in the origin of many crops, including apple (Cornille et al. 2012), banana (Christelová et al. 2011), Citrus (Wu et al. 2018), sweet potato (Munoz-Rodriguez et al. 2018), and wheat (El Baidouri et al. 2017).
To test our novel hypothesis of ancient hybridization in the walnut genus, we here use whole-genome-sequencing data from 80 individuals representing 19 of the 22 species of Juglans. Specifically, we asked whether the ancestral Persian walnut results from hybridization in the deep past, involving Asian and American ancestors. We apply a battery of genome-wide methods for hybridization detection and Approximate Bayesian Computation (ABC) to test speciation models and to infer the time of origin of the Persian walnut. Lastly, we characterize the genetic composition of the genomes of the Persian walnut, the Iron walnut, and the American butternut J. cinerea, by using population-genetic parameters, admixture analyses, and phylogenetic inference.
Results
Genome Sequencing and Variant Calling
Besides the 80 individuals of Juglans, we sequenced and assembled two outgroup species, Pterocarya stenoptera and Platycarya strobilacea, de novo to serve as reference genomes (Materials and Methods and supplementary table S2 and fig. S1, Supplementary Material online). The assembly of the P. stenoptera genome had a total length of 671 Mb (N50 = 1.28 Mb), with 548 scaffolds (containing 520 Mb) of length >100 kb. The assembly of the Pl. strobilacea genome comprised a total length of 678 Mb (N50 = 0.99 Mb) with 926 scaffolds (containing 649 Mb) of length >100 kb (supplementary section S1 and table S3, Supplementary Material online). Because P. stenoptera is equally distant from all Juglans taxa, reads of all 80 Juglans individuals were mapped to the P. stenoptera genome, covering an average of about 70.6% of that genome. To produce a high-quality genome-wide single-nucleotide polymorphism (SNP) data set for comparisons across Juglans, we focused on biallelic SNPs covered by all species from scaffolds with a length >100 kb. Ultimately, 19,795 SNPs were obtained after the total was thinned based on a 5-kb distance minimum, as linkage disequilibrium decays within this distance (supplementary fig. S2, Supplementary Material online), and a minor allele frequency (MAF) >0.05. In addition, we selected 2,901 single-copy genes to reconstruct a nuclear phylogeny (Materials and Methods; supplementary section S1, Supplementary Material online).
Population Structure within the Genus Juglans
In a STRUCTURE analysis of the 19,795 SNPs, both values of the log-likelihood of the data, ln Pr(K), and delta K (supplementary fig. S3, Supplementary Material online), indicated that the optimal value for K (i.e., the number of clusters) was 3 (fig. 1a). At K = 2, all black walnuts (section Rhysocaryon) clustered in one group and all butternuts (section Cardiocaryon) in another, whereas J. regia and J. sigillata (section Juglans) appeared to be an admixed group (fig. 1a), with 67% ancestry attributed to Rhysocaryon and 33% to Cardiocaryon. At K = 3, samples of section Juglans formed a distinct group. With J. mandshurica selected to represent Cardiocaryon and J. nigra for Rhysocaryon, the genetic ancestry of J. regia and J. sigillata can be ascertained in an admixture analysis of these four species by setting K = 2 with USEPOPINFO = 1 for parental J. mandshurica and J. nigra in STRUCTURE (based on 26,995 SNPs that meet the criteria of a 5-kb distance minimum and MAF > 0.05 for these four species). In this four-species analysis, ∼51% of the genetic composition of J. regia or J. sigillata came from J. nigra and 49% from J. mandshurica (fig. 1c).

Population structure based on independent nonmissing SNPs. (a) Results of STRUCTURE analyses of 80 individuals of Juglans. (b) PCA of the same 80 individuals. (c) Assignment probabilities for Juglans regia and J. sigillata individuals in STRUCTURE analyses when using population information of J. mandshurica and J. nigra. (d) Nut photos of J. mandshurica, J. nigra, and J. regia.
A Principal Component Analysis (PCA) of the same 19,795 high-quality SNPs as used in the global STRUCTURE analysis demonstrated striking structure within Juglans. The Cardiocaryon and Rhysocaryon samples segregated along PC1, whereas section Juglans samples were between these sections along PC1, but distinct along PC2 (fig. 1b). PCA plots from simulated SNP genotypes suggest that hybrid taxa are intermediary to their parents along PC1 and distinct along PC2 (Sefc and Koblmueller 2016), supporting that the J. regia/J. sigillata lineage is an ancient hybrid between Cardiocaryon and Rhysocaryon.
Phylogenetic-Network Inference
PhyloNet analyses (Yu and Nakhleh 2015), which infer species phylogenies by accounting for both incomplete lineage sorting and hybridization, sorted the samples into three major clades (fig. 2a), corresponding to sections Juglans, Rhysocaryon, and Cardiocaryon. In all cases allowing 1, 2, or 3 past hybridization events, section Juglans was invariably identified as a reticulate node (supplementary fig. S4, Supplementary Material online), consistent with the results of STRUCTURE and PCA. The inheritance probabilities showed that the ancestral lineage of J. regia/J. sigillata had a genomic contribution of 53% from Cardiocaryon and 47% from Rhysocaryon, slightly different from the estimates obtained with STRUCTURE (33% from Cardiocaryon, 67% from Rhysocaryon), probably because the analysis in PhyloNet was based on single-copy genes, whereas the STRUCTURE analysis was based on genome-wide SNPs.

Species network inference and chloroplast phylogeny. (a) Optimal species network inferred using the PhyloNet software. The result is maximum pseudo-likelihood tree with one reticulation. The γ value indicates the inheritance probability from the ancestor of sect. Cardiocaryon, whereas 1 − γ indicates that from the ancestor of sect. Rhysocaryon. (b) A ML phylogeny from 68 entire plastid genomes of Juglans and two outgroups, with bootstrap support values ≥96 above branches. The asterisk marking Juglans cinerea refers to the only case of phylogenomic discord between the nuclear and plastid topologies (see Discussion).
Tests of Interspecific Gene Flow
Using the software HyDe (Blischak et al. 2018), which detects genome-scale hybridization by using phylogenetic invariants, we detected a significant signal of hybridization in both J. regia and J. sigillata through using a total of 306,457,168 bp of nonmissing sites at both the population and individual level (supplementary table S4, Supplementary Material online). Furthermore, any member of section Cardiocaryon could have been at the base of one parental lineage and any member of section Rhysocaryon at the base of the other. The estimated probability (γ) of inheritance from an ancestor of section Cardiocaryon ranged from 0.420 to 0.449 (supplementary table S4, Supplementary Material online), whereas the proportion of ancestry from Rhysocaryon was somewhat higher, as also inferred in the STRUCTURE analyses (above). Both HyDe and STRUCTURE rely on genome-wide SNP data. Each individual of J. regia and J. sigillata also showed significant levels of hybridization, with the inheritance probability from Cardiocaryon, γ, ranging from 0.414 to 0.458 (fig. 3a), indicating that all sampled individuals of J. regia and J. sigillata were admixed.

HyDe individual test and stepping-windows admixture and phylogenetic analyses for Juglans regia and J. sigillata. (a) Violin plots of the distribution of γ with HyDe for six individuals of J. regia and five individuals of J. sigillata. γ indicates the inheritance probabilities from the parental species of sect. Cardiocaryon to the inferred individual. (b) Results of the NGSADMIX-analysis assignments for 10-kb nonoverlapping windows across scaffolds 1 and 2 of J. regia and J. sigillata. The windows show J. regia windows clustering with J. mandshurica in red, J. regia windows clustering with J. nigra in blue, and J. regia clustering by itself in white. (c) RAxML analysis on 10-kb windows depicting whether J. regia or J. sigillata grouped monophyletically with J. mandshurica (red), J. nigra (blue), formed their own clade (green), or remained unresolved (white).
Currently, the most widely used ABBA-BABA test for hybridization detection is based on counts of ancestral (A) and derived (B) alleles in sets of four taxa with known phylogenetic relationships (here, J. regia [or J. sigillata], J. mandshurica and J. nigra, and Pl. strobilacea). The test statistic D does not differ significantly from 0 when the derived alleles in J. nigra match alleles in J. mandshurica and J. regia equally often, or when the derived alleles in J. mandshurica match alleles in J. nigra and J. regia (or J. sigillata) equally often. The ABBA-BABA tests showed that J. nigra is significantly closer to J. regia or J. sigillata than to J. mandshurica, and similarly, J. mandshurica is significantly closer to J. regia or J. sigillata than to J. nigra (table 1), indicating that J. regia/J. sigillata likely originated as a hybrid between black walnuts and Asian butternuts.
Results from Patterson’s D Test for Introgression between Species with 500-kb Block Jack-Knifed SE Estimates and Significance Values.
. | SP1 . | SP2 . | SP3 . | Patterson’s D . | Jack-Knifed SE . | Z-Score . | P . |
---|---|---|---|---|---|---|---|
Juglans regia | Juglans mandshurica | Juglans regia | Juglans nigra | 0.079 | 0.0017 | 45.50 | <0.0001 |
Juglans nigra | Juglans regia | Juglans mandshurica | 0.110 | 0.0017 | 61.00 | <0.0001 | |
Juglans sigillata | Juglans mandshurica | Juglans sigillata | Juglans nigra | 0.106 | 0.0014 | 67.73 | <0.0001 |
Juglans nigra | Juglans sigillata | Juglans mandshurica | 0.097 | 0.0017 | 55.90 | <0.0001 | |
Juglans cinerea | Juglans mandshurica | Juglans cinerea | Juglans nigra | 0.029 | 0.0014 | 19.21 | <0.0001 |
Juglans nigra | Juglans cinerea | Juglans mandshurica | 0.635 | 0.0017 | 359.20 | <0.0001 |
. | SP1 . | SP2 . | SP3 . | Patterson’s D . | Jack-Knifed SE . | Z-Score . | P . |
---|---|---|---|---|---|---|---|
Juglans regia | Juglans mandshurica | Juglans regia | Juglans nigra | 0.079 | 0.0017 | 45.50 | <0.0001 |
Juglans nigra | Juglans regia | Juglans mandshurica | 0.110 | 0.0017 | 61.00 | <0.0001 | |
Juglans sigillata | Juglans mandshurica | Juglans sigillata | Juglans nigra | 0.106 | 0.0014 | 67.73 | <0.0001 |
Juglans nigra | Juglans sigillata | Juglans mandshurica | 0.097 | 0.0017 | 55.90 | <0.0001 | |
Juglans cinerea | Juglans mandshurica | Juglans cinerea | Juglans nigra | 0.029 | 0.0014 | 19.21 | <0.0001 |
Juglans nigra | Juglans cinerea | Juglans mandshurica | 0.635 | 0.0017 | 359.20 | <0.0001 |
Note.—Three taxa (SP1, SP2, and SP3) and an outgroup species (Platycarya strobilacea) were used to calculate Patterson’s D in each computation.
Results from Patterson’s D Test for Introgression between Species with 500-kb Block Jack-Knifed SE Estimates and Significance Values.
. | SP1 . | SP2 . | SP3 . | Patterson’s D . | Jack-Knifed SE . | Z-Score . | P . |
---|---|---|---|---|---|---|---|
Juglans regia | Juglans mandshurica | Juglans regia | Juglans nigra | 0.079 | 0.0017 | 45.50 | <0.0001 |
Juglans nigra | Juglans regia | Juglans mandshurica | 0.110 | 0.0017 | 61.00 | <0.0001 | |
Juglans sigillata | Juglans mandshurica | Juglans sigillata | Juglans nigra | 0.106 | 0.0014 | 67.73 | <0.0001 |
Juglans nigra | Juglans sigillata | Juglans mandshurica | 0.097 | 0.0017 | 55.90 | <0.0001 | |
Juglans cinerea | Juglans mandshurica | Juglans cinerea | Juglans nigra | 0.029 | 0.0014 | 19.21 | <0.0001 |
Juglans nigra | Juglans cinerea | Juglans mandshurica | 0.635 | 0.0017 | 359.20 | <0.0001 |
. | SP1 . | SP2 . | SP3 . | Patterson’s D . | Jack-Knifed SE . | Z-Score . | P . |
---|---|---|---|---|---|---|---|
Juglans regia | Juglans mandshurica | Juglans regia | Juglans nigra | 0.079 | 0.0017 | 45.50 | <0.0001 |
Juglans nigra | Juglans regia | Juglans mandshurica | 0.110 | 0.0017 | 61.00 | <0.0001 | |
Juglans sigillata | Juglans mandshurica | Juglans sigillata | Juglans nigra | 0.106 | 0.0014 | 67.73 | <0.0001 |
Juglans nigra | Juglans sigillata | Juglans mandshurica | 0.097 | 0.0017 | 55.90 | <0.0001 | |
Juglans cinerea | Juglans mandshurica | Juglans cinerea | Juglans nigra | 0.029 | 0.0014 | 19.21 | <0.0001 |
Juglans nigra | Juglans cinerea | Juglans mandshurica | 0.635 | 0.0017 | 359.20 | <0.0001 |
Note.—Three taxa (SP1, SP2, and SP3) and an outgroup species (Platycarya strobilacea) were used to calculate Patterson’s D in each computation.
Another ABBA-BABA test in which we included J. cinerea, J. nigra, and J. mandshurica revealed gene flow from black walnuts and Asian butternuts to J. cinerea (table 1), although HyDe failed to detect this hybridization signal (supplementary table S4, Supplementary Material online).
The Population History of J. regia and J. sigillata
The analyses described so far provide evidence for ancient hybridization having played a role in the origin of the Persian walnut lineage (J. regia/J. sigillata) and raise the question of the direction and timing of the genetic exchange. There are four possible scenarios: a hybrid origin, lineage merging, gene flow from J. nigra, or gene flow from J. mandshurica (fig. 4a). We used an ABC approach to determine which of the four scenarios best fit the available data for Persian walnut and J. sigillata. Because postdivergence gene flow has occurred between sections Cardiocaryon and Rhysocaryon (supplementary section S2 and fig. S5 and table S5, Supplementary Material online) but is difficult to model, we did not use summary statistics for J. mandshurica and J. nigra in our modeling. Instead, we used only polymorphism information in J. regia and J. sigillata such that any posthybridization gene flow between J. mandshurica and J. nigra will not affect our tests (Materials and Methods). The gene-flow event was dated back to sometime during the Pleistocene (supplementary table S5, Supplementary Material online), and we presume it was posterior to the hybridization event leading to the origin of Persian walnut.

ABC models and their corresponding posterior probabilities for the origin of Juglans regia and J. sigillata (a) and models for the divergence of J. mandshurica and J. nigra (b). The posterior probability of each model was estimated with logistic regression using 1% of simulated data closest to the observed data set in the model selection procedure.
The best-fitting model was a lineage merging model (posterior probability = 0.783 ± 0.047, supplementary fig. S6, Supplementary Material online). The divergence between black walnuts and butternuts was estimated to have occurred ∼37.5 My (95% HPD: 12.9–58.8 My), comparable to an estimate obtained after excluding J. regia/J. sigillata (fig. 4b). The divergence time between a ghost butternut lineage and J. mandshurica was 20.9 My and that between a ghost black walnut lineage and J. nigra 23.8 My (supplementary table S6, Supplementary Material online). However, the posterior distributions for these two parameters were similar to the prior distributions, implying that the signal in the data from only J. regia and J. sigillata is insufficient for solid estimation of the divergence times. The hybridization event that gave rise to the J. regia/J. sigillata lineage was estimated to have occurred during the late Pliocene, 3.45 My (95% HPD: 1.20–8.22 My; supplementary table S6, Supplementary Material online). The estimated model parameters indicated that 47% of the nuclear genome of J. regia/J. sigillata was derived from an ancestral butternut and 53% from black walnut, similar to the above estimates obtained with HyDe and STRUCTURE.
We also did an ABC analysis of the four speciation models (supplementary fig. S7, Supplementary Material online) by allowing gene flow between J. mandshurica and J. nigra (supplementary section S3, Supplementary Material online) and obtained very similar results. Most notably, the support for the best-fitting lineage merging model was even higher (posterior probability = 0.944, supplementary fig. S7, Supplementary Material online) and the hybridization event was estimated to have occurred during the late Pliocene, 3.72 My (95% HPD: 0.87–11.93 My; supplementary table S7, Supplementary Material online), closely matching the above estimate of ∼3.45 My without consideration of gene flow. To test the accuracy of parameter estimation under the lineage merging model, we used fastsimcoal2 (Excoffier et al. 2013), a continuous-time coalescent simulator. With this approach, the hybridization event was dated to at ∼3.17 My, matching to ABC results (supplementary section S6, Supplementary Material online).
The Genomic Constitution of the J. regia/J. sigillata Lineage
Genome-wide population-genetic parameter estimates reveal that J. regia/J. sigillata is intermediate between J. nigra and J. mandshurica, although this is nonsignificant (table 2), possibly due to extensive gene flow between sections Cardiocaryon and Rhysocaryon (supplementary section S2 and fig. S5 and table S5, Supplementary Material online). The global average differentiation (Fst, dxy) of J. nigra from J. mandshurica was higher than that between J. regia/J. sigillata and either J. nigra or J. mandshurica.
Mean Values of Population Genomic Statistics for 10-kb Sliding Windows with 2,500-bp Steps across the Genome of Juglans mandshurica (M), J. nigra (N), J. regia (R), and J. sigillata (S).
Parameter . | Species . | Mean ± SD . | Species . | Mean ± SD . |
---|---|---|---|---|
Fst | M–N | 0.6028 ± 0.1489 | M–S | 0.5936 ± 0.1526 |
M–R | 0.5847 ± 0.1515 | N–S | 0.5883 ± 0.1520 | |
N–R | 0.5834 ± 0.1505 | R–S | 0.1142 ± 0.0759 | |
df | M–N | 0.0031 ± 0.0040 | M–S | 0.0029 ± 0.0038 |
M–R | 0.0028 ± 0.0037 | N–S | 0.0030 ± 0.0040 | |
N–R | 0.0029 ± 0.0039 | R–S | 0.0002 ± 0.0006 | |
dxy | M–N | 0.0066 ± 0.0073 | M–S | 0.0058 ± 0.0067 |
M–R | 0.0058 ± 0.0067 | N–S | 0.0064 ± 0.0072 | |
N–R | 0.0064 ± 0.0072 | R–S | 0.0025 ± 0.0034 | |
π | M | 0.0023 ± 0.0030 | ||
N | 0.0028 ± 0.0034 | |||
R | 0.0022 ± 0.0031 | |||
S | 0.0021 ± 0.0030 |
Parameter . | Species . | Mean ± SD . | Species . | Mean ± SD . |
---|---|---|---|---|
Fst | M–N | 0.6028 ± 0.1489 | M–S | 0.5936 ± 0.1526 |
M–R | 0.5847 ± 0.1515 | N–S | 0.5883 ± 0.1520 | |
N–R | 0.5834 ± 0.1505 | R–S | 0.1142 ± 0.0759 | |
df | M–N | 0.0031 ± 0.0040 | M–S | 0.0029 ± 0.0038 |
M–R | 0.0028 ± 0.0037 | N–S | 0.0030 ± 0.0040 | |
N–R | 0.0029 ± 0.0039 | R–S | 0.0002 ± 0.0006 | |
dxy | M–N | 0.0066 ± 0.0073 | M–S | 0.0058 ± 0.0067 |
M–R | 0.0058 ± 0.0067 | N–S | 0.0064 ± 0.0072 | |
N–R | 0.0064 ± 0.0072 | R–S | 0.0025 ± 0.0034 | |
π | M | 0.0023 ± 0.0030 | ||
N | 0.0028 ± 0.0034 | |||
R | 0.0022 ± 0.0031 | |||
S | 0.0021 ± 0.0030 |
Note.—, density of fixed differences.
Mean Values of Population Genomic Statistics for 10-kb Sliding Windows with 2,500-bp Steps across the Genome of Juglans mandshurica (M), J. nigra (N), J. regia (R), and J. sigillata (S).
Parameter . | Species . | Mean ± SD . | Species . | Mean ± SD . |
---|---|---|---|---|
Fst | M–N | 0.6028 ± 0.1489 | M–S | 0.5936 ± 0.1526 |
M–R | 0.5847 ± 0.1515 | N–S | 0.5883 ± 0.1520 | |
N–R | 0.5834 ± 0.1505 | R–S | 0.1142 ± 0.0759 | |
df | M–N | 0.0031 ± 0.0040 | M–S | 0.0029 ± 0.0038 |
M–R | 0.0028 ± 0.0037 | N–S | 0.0030 ± 0.0040 | |
N–R | 0.0029 ± 0.0039 | R–S | 0.0002 ± 0.0006 | |
dxy | M–N | 0.0066 ± 0.0073 | M–S | 0.0058 ± 0.0067 |
M–R | 0.0058 ± 0.0067 | N–S | 0.0064 ± 0.0072 | |
N–R | 0.0064 ± 0.0072 | R–S | 0.0025 ± 0.0034 | |
π | M | 0.0023 ± 0.0030 | ||
N | 0.0028 ± 0.0034 | |||
R | 0.0022 ± 0.0031 | |||
S | 0.0021 ± 0.0030 |
Parameter . | Species . | Mean ± SD . | Species . | Mean ± SD . |
---|---|---|---|---|
Fst | M–N | 0.6028 ± 0.1489 | M–S | 0.5936 ± 0.1526 |
M–R | 0.5847 ± 0.1515 | N–S | 0.5883 ± 0.1520 | |
N–R | 0.5834 ± 0.1505 | R–S | 0.1142 ± 0.0759 | |
df | M–N | 0.0031 ± 0.0040 | M–S | 0.0029 ± 0.0038 |
M–R | 0.0028 ± 0.0037 | N–S | 0.0030 ± 0.0040 | |
N–R | 0.0029 ± 0.0039 | R–S | 0.0002 ± 0.0006 | |
dxy | M–N | 0.0066 ± 0.0073 | M–S | 0.0058 ± 0.0067 |
M–R | 0.0058 ± 0.0067 | N–S | 0.0064 ± 0.0072 | |
N–R | 0.0064 ± 0.0072 | R–S | 0.0025 ± 0.0034 | |
π | M | 0.0023 ± 0.0030 | ||
N | 0.0028 ± 0.0034 | |||
R | 0.0022 ± 0.0031 | |||
S | 0.0021 ± 0.0030 |
Note.—, density of fixed differences.
Admixture analysis NGSAdmix (Skotte et al. 2013) and maximum likelihood (ML) trees from 10-kb nonoverlapping windows among all the J. regia or J. sigillata individuals demonstrated a discordant evolutionary history throughout the hybrid genome of J. regia and J. sigillata. Thus, admixture analysis revealed 5,155 windows in which J. regia grouped with J. mandshurica and 6,361 windows in which it grouped with J. nigra, but only 718 windows assigned uniquely to J. regia, with very similar results for J. sigillata (fig. 3b). In the ML trees (with an 80% bootstrap threshold), there were 3,919 windows where J. regia individuals grouped with J. mandshurica and 4,253 windows where they grouped with J. nigra, but only 663 windows where J. mandshurica and J. nigra grouped together (fig. 3c). ML trees from 25- or 50-kb window sizes and 50%, 80%, or 90% bootstrap thresholds, and all corresponding analyses using J. sigillata instead of J. regia, gave broadly similar results (supplementary table S8, Supplementary Material online).
Phylogenomic Discord in the American Butternut, J. cinerea
Three clades corresponding to sections Juglans, Cardiocaryon, and Rhysocaryon were evident in a ML tree obtained from whole-chloroplast genome data, except that J. cinerea was nested near J. nigra within the black walnut clade (section Rhysocaryon), instead of the butternut clade (section Cardiocaryon; supplementary section S4, Supplementary Material online, fig. 2b). Cytonuclear discordance in J. cinerea has been noted before (Stanford et al. 2000; Stone et al. 2009; Dong et al. 2017) and chloroplast capture has been proposed as a plausible explanation (Aradhya et al. 2007). The ABBA-BABA test revealed gene flow between J. cinerea and J. mandshurica or J. nigra, suggesting that J. cinerea likely originated from hybridization. Among well-resolved 10-kb nonoverlapping windows (with >80% bootstrap support), 12,575 have a topology of ([J. cinerea, J. mandshurica], J. nigra) and only 198 of ([J. cinerea, J. nigra], J. mandshurica), which implies that most of the J. cinerea nuclear genome came from Asian butternuts. Such strong asymmetrical hybridization possibly also explains the failure of HyDe to detect hybridization in J. cinerea (table 1 and supplementary table S4, Supplementary Material online), because its statistical power decreases with increasing asymmetry in parental contributions to the ancestry of a hybrid lineage (Kubatko and Chifman 2015).
Once again, we relied on an ABC approach to determine the evolutionary history of J. cinerea. In this case, gene flow between Asian J. mandshurica and American J. nigra cannot be ignored because it must be intermingled with the hybridization event resulting in the formation of J. cinerea. Depending on the timing of the gene-flow event relative to the hybridization event, a total of 12 scenarios (supplementary section S5 and fig. S8, Supplementary Material online) can be constructed on top of the four basic speciation models as represented in figure 4. Two scenarios (Model 6 and Model 10), very similar in nature, were the most likely models of origin (supplementary section S5 and fig. S8, Supplementary Material online). In Model 10 (posterior probability = 0.631 ± 0.076), introgression from J. mandshurica contributed about 0.73 of the J. cinerea genome and the time for the origin of J. cinerea was estimated as 0.57 My (95% HPD: 0.18–1.03 My; supplementary table S9, Supplementary Material online); In Model 6 (posterior probability 0.301 ± 0.087), introgression from a distinct ghost lineage of J. mandshurica contributed about 0.92 of the ancestry of the J. cinerea genome and the origin of J. cinerea was dated to 0.89 My (95% HPD: 0.18–2.00 My; supplementary table S9, Supplementary Material online). Both models suggest massive introgression of nuclear DNA from an Asian butternut parent (Model 10: J. mandshurica; Model 6: a distinct ghost) to a ghost black walnut lineage diverged from J. nigra at about 7.3∼11.7 My. The only significant difference between the two scenarios concerns the butternut parent. The best-fitting model with fastsimcoal2 was Model 6 (supplementary section S6 and table S15, Supplementary Material online). Note that both models date the origin of J. cinerea back to the Early-Middle Pleistocene transition around 0.6–0.9 My (supplementary table S9, Supplementary Material online).
Discussion
In the present study, all genome-wide analyses converged to provide unambiguous evidence of hybridization at the roots of both the American butternut (J. cinerea) and the Persian walnut (J. regia/J. sigillata). The inferred late Pliocene hybrid event that gave rise to the Persian walnut around ∼3.45 My fits with the absence of this species in the ancient European fossil record (van der Ham 2015). The genomic mosaicism of both the Persian walnut (incl. J. sigillata) and the American butternut J. cinerea provides evidence for the importance of hybridization throughout the evolution of walnuts, matching recent results from subsets of Chinese walnut species (Bai et al. 2016; Yuan et al. 2018; Zhao et al. 2018). However, our results from the entire genus, which today is most species-rich in North and South America while Europe has a single species (supplementary fig. S1, Supplementary Material online), may be the first example of inferred hybridization and introgression among extinct species at both shallow and deep evolutionary timescales.
The placement of the American butternut, J. cinerea, with the Asian butternuts in nuclear data but within the American section Rhysocaryon in a plastid phylogeny (fig. 2b; also seen with more limited gene and species sampling in the studies of Stanford et al. (2000), Aradhya et al. (2007), and Dong et al. (2017)), can also now be understood as the results of hybridization. Cytonuclear discordance of this kind is common in plants and is usually explained by chloroplast capture (Rieseberg and Soltis 1991; Wolfe and Elisens 1995; Folk et al. 2017). Our ABC analysis instead inferred that the evolution of J. cinerea is due to massive introgression from an immigrating Asian butternut into the genome of an American black walnut (supplementary section S5 and fig. S8, Supplementary Material online). This parsimoniously explains why J. cinerea has the nuclear genome of an Asian butternut and the chloroplast genome of an American black walnut. Such pollen swamping, best documented in oaks (Petit et al. 2004), has also been inferred in Mercurialis annua (Christelová et al. 2011). One might therefore return to classifying the “hybrid species” J. cinerea in its own section, Trachycaryon (Manning 1978), thereby highlighting its complex evolutionary history.
Based on walnut fruit fossils from Western North America dating to 48.32 My, Pterocarya and Juglans (which have very different fruits) had diverged from each other by the late early Eocene, followed by an initial split into black walnuts and butternuts, probably during the middle Eocene (∼45 My) in North America (Manchester 1987, 1994). By the late Oligocene, walnuts must have expanded from America to Europe, probably both via the Beringian land bridge and the North Atlantic land bridge. Evidence for a North Atlantic crossing comes from Juglans pollen records from Axel Heiberg Island (middle Eocene, ca. 45 My) and Svalbard (late Eocene) (McIntyre 1991). Spread of a member of Cardiocaryon (perhaps via the Beringian land bridge) to Asia and further expansion to Europe would explain the fossil remains of butternut-type fruits (called J. bergomensis) in the Miocene of western Washington State and the Pliocene of Europe (Manchester 1987; Martinetto 2015; van der Ham 2015; Smith and Manchester 2018), as well as the presence of Pterocarya or Cardiocaryon pollen in the Eocene of Messel near Frankfurt (Manchester 1994).
The cooling climate of the Upper Pliocene may have led to range shifts of the butternut and black walnut lineages in Eurasia, permitting the contact required for the hybridization that gave rise to Persian walnut, J. regia of which J. sigillata is an ecotype maintained as a landrace (Zhao et al. 2018). In America and Asia, black walnut and butternut lineages survived and formed today’s species; in Europe, by contrast, walnut diversity was lost during the Pleistocene climate oscillations, with eventually only the newly formed hybrid lineage surviving, probably in southern refugia. Its hybrid origin may also have resulted in adaptive introgression, which may have helped Persian walnuts to survive. Evidence for introgression is being documented in an increasing number of systems, though demonstrating the adaptive function of introgressed genomic regions remains difficult (Jones et al. 2018; Taylor and Larson 2019).
Homoploid hybrid origin of a new species is not equivalent to hybrid speciation (Schumer et al. 2014) because the latter requires hybridization per se to cause reproductive isolation of the hybrid lineage from both parents for which we have no evidence in walnuts. Our ABC analysis supports that the Persian walnut has a hybrid origin, but we know little about the specific isolating mechanisms derived from hybridization itself. Today, Persian walnut can readily hybridize with both black walnut and butternuts (Xu et al. 2007; Woeste and Michler 2011; Shu et al. 2016), suggesting no inherent reproductive barriers with congeners. Although the number of cases of homoploid hybrid speciation is increasing (Sun et al. 2014; Elgvin et al. 2017; Lamichhaney et al. 2018; Ru et al. 2018), information is still lacking that would link the presence of hybrid ancestry in the genome to the process of speciation by hybridization (Schumer et al. 2014). Perhaps the criteria for homoploid hybrid speciation are too stringent, causing researchers to overlook important contributions of hybridization to evolution and speciation (Nieto Feliner et al. 2017). Whether homoploid hybrid speciation is a common speciation mechanism in general therefore remains an outstanding question (Comeault and Matute 2018).
Regardless of the specific biogeographic scenario, our genome-wide data from 80 individuals representing 19 walnut species and two outgroup genera provide clear evidence that the Persian walnut arose as a hybrid between American and Asian lineages, and the results further resolve the controversy concerning the American butternut, J. cinerea, which turns out to result from massive nuclear gene introgression involving an American black walnut through pollen swamping by an immigrating Asian butternut. Gene flow, in the form of hybridization and introgression, is increasingly recognized as a contributor to the evolution of organisms. We now have good evidence from the ancient history of walnuts and butternuts, and similar events may have influenced the evolution of other wind-pollinated temperate trees.
Materials and Methods
Sampling Design
We sampled 80 individuals from 19 species of Juglans, namely six North American temperate species, J. californica, J. cinerea, J. hindsii, J. major, J. microcarpa, and J. nigra; six Central American subtropical species, J. jamaicensis, J. mexicana, J. mollis, J. olanchana, J. pyriformis, and J. steyermarkii; two South American tropical species, J. neotropica and J. venezuelensis; three Asian species, J. ailantifolia, J. cathayensis, and J. mandshurica and the Eurasian entities J. regia and J. sigillata. As outgroup species we sampled P. stenoptera and Pl. strobilacea (supplementary table S2, Supplementary Material online, provides information on taxonomic authors and herbarium vouchers). The Asian butternut J. hopeiensis was only included in phylogenetic analyses of plastid data. We did not sample J. australis Griesb. from Argentina/Bolivia and J. boliviana (C.DC.) Dode from Bolivia; J. soratensis W.E. Manning, also from Bolivia, is considered a hybrid and was also not included.
Reference Genome Assembly
Fragment libraries of 250, 350, and 450 bp were sequenced with a paired-end 150-bp strategy on the Illumina HiSeq × ten sequencing platform at a depth of 60×, 45×, and 58× for P. stenoptera. A fragment library of 350 bp was similarly sequenced at a depth of 53× for Pl. strobilacea. Jumping libraries with insert sizes of 3k, 5k, and 10k bp for P. stenoptera and 2k, 5k, and 10k for Pl. strobilacea were sequenced with a paired-end 150-bp strategy on Illumina HiSeq X ten. The total depth of jump libraries was about 100× and 64× for P. stenoptera and Pl. strobilacea, respectively. All libraries were assembled and scaffolded using allPathsLG version 474117 (Gnerre et al. 2011) with default parameters after filtering reads containing sequence adaptors or reads not paired properly. We also predicted and annotated genes and other features of each genome (supplementary section S1, Supplementary Material online).
Sequencing, Reads Mapping, and Variant Calling
Whole-genome sequencing using paired-end libraries with an insert size of 350 bp was performed on Illumina Hiseq X-ten instruments with 150-bp read length on each end by NovoGene (Beijing, China). Samples were sequenced to an average depth of 30×. Because P. stenoptera is equally related to all Juglans species, the reads from 80 individuals of Juglans were mapped to the P. stenoptera reference genome. SNPs from each individual were called and joined to create a multisample SNP data set using SENTIEON DNAseq software packages v. 201711.05 (Weber et al. 2016). To control the quality of SNPs, triallelic and tetra-allelic SNP sites or sites with missing data or a mapping depth <10× or >60× in any individuals were removed. Then we use a Q20 filter and called a heterozygous genotype if the depth of an allele was 20× to 60× and the proportion of a nonreference allele was between 20% and 80%, or if the depth was 10× to 20× and the proportion of a nonreference allele was between 10% and 90%, otherwise a homozygous genotype was called (Nielsen et al. 2011). After filtering, a total number of 3,998,064 SNPs remained. These were further thinned using a distance filter of interval >5k-bp and a rare SNP filter of MAF > 0.05. The final data set contained 19,795 SNPs (supplementary section S1, Supplementary Material online).
Population Structure
We used STRUCTURE v. 2.3.4 (Pritchard et al. 2000) to cluster individuals based on K = 1–5 using the admixture model and uncorrelated allele frequencies. To account for unequal sample sizes among species, we set POPALPHAS to 1, with an initial value of alpha = 0.25 as suggested by Meirmans (2019). Then, we choose J. mandshurica and J. nigra as the representatives for sections Cardiocaryon and Rhysocaryon, respectively and did another assignment for the putative hybrid species J. regia and J. sigillata. After the same filtering strategy, we used a total of 26,995 SNPs to conduct an assignment test on K = 2–3 for J. regia and J. sigillata with USEPOPINFO = 1 for J. mandshurica and J. nigra. Both assignments were performed ten times to ensure a stable result, and Markov Chain Monte Carlo analyses were run for 50,000 iterations, after a burnin period of 20,000 iterations. A PCA was run on the 19,795 SNP data set using the R package SNPRelate v. 1.6.2 (Zheng et al. 2012) with default settings.
Phylogenetic-Network Analysis
To obtain single-copy genes, we mapped reads of each individual to a closely related reference genome using BWA v. 0.7.12 (Li and Durbin 2009). Species of section Rhysocaryon were mapped onto the J. nigra genome, species of section Cardiocaryon onto the J. mandshurica genome, and those of section Juglans onto the J. regia genome (genome version V3, available in http://cmb.bnu.edu.cn/juglans/ or https://www.ncbi.nlm.nih.gov/bioproject/PRJNA356989/). Single-copy genes (N = 2,901) were chosen to perform the nuclear phylogenetic analysis (supplementary section S1, Supplementary Material online). RAxML v. 8.2.8 (Stamatakis 2014) was used to build a ML gene tree for each gene under the GTR + GAMMA substitution model, using the rapid-bootstrapping approach implemented in RAxML (100 bootstrap replicates), and with Pl. strobilacea set as outgroup. Species networks that modeled incomplete lineage sorting and gene flow using a pseudo-maximum likelihood approach (Yu and Nakhleh 2015) were carried out with PHYLONET v. 3.6.1 (Than et al. 2008) with the command “InferNetwork_MPL” and using the individual gene trees. Network searches were performed using only nodes in the rooted ML gene trees that had a bootstrap support of at least 75%, allowing for 0–3 reticulations, and optimizing the branch lengths and inheritance probabilities of the returned species networks under pseudo-likelihood.
Tests of Interspecific Gene Flow
We used HyDe (Blischak et al. 2018), a software package for detecting hybridization from phylogenetic invariants that arise under the coalescent model with hybridization, to detect hybridization in the consensus genomes built using SNPs. Similar to ABBA-BABA tests, HyDe considers a rooted, four-taxon network consisting of an outgroup and a triplet of ingroup populations. The distribution of site patterns was used to infer a hybrid ingroup population that with probability γ is sister to one population (P1) and with probability 1 − γ sister to the other population (P2). The null hypothesis was that when admixture was absent, the expected value of γ should be 0. We perform HyDe tests for 19 Juglans species (not including J. hopeiensis) with Pl. strobilacea as an outgroup. We assumed each species to be a hybrid species, resulting in hypothesis tests at the species level. At the individual level, significant hybridization was evaluated for J. regia and J. sigillata (a total of 11 individuals) where the two parental species could be any of four species of sect. Cardiocaryon and any of 13 species of section Rhysocaryon, resulting in 4 × 11 × 13 = 572 hypothesis tests. Results from those runs were filtered with 1% critical value on Z-scores.
We used the D-statistic (also known as the ABBA-BABA test) (Green et al. 2010; Durand et al. 2011) to test for the possibility of admixture between J. nigra and J. mandshurica, J. nigra and J. regia, and J. mandshurica and J. regia. The analysis uses patterns of ancestral and derived alleles in the ingroups and outgroups to distinguish between incomplete lineage sorting and hybridization. The D-statistic has been shown to be a robust, although conservative, method for identifying introgressed loci. Whole-genome D-statistics were calculated for two topologies ([J. nigra, J. regia], J. mandshurica) and ([J. mandshurica, J. regia], J. nigra) using ANGSD’s ABBA BABA multipopulation tool (Soraggi et al. 2018) with Pl. strobilacea as the outgroup. We chose five individuals from each Juglans species to test for significant evidence of admixture using a weighted block jackknife with 500-kb nonoverlapping blocks. We considered Z-scores >3 to be significant. We also did the same ABBA-BABA test in J. sigillata, to test the possibility of admixture between J. nigra and J. mandshurica, J. nigra and J. sigillata, and J. mandshurica and J. sigillata.
Tests of Population History by ABC Modeling
We compared four hypothesized models of speciation (fig. 4a and supplementary table S10, Supplementary Material online) through analysis of the nuclear data set using DIYABC v. 2.1 (Cornuet et al. 2014) for J. nigra, J. mandshurica, J. regia, and J. sigillata. In all four models, TA was the divergence time between ancestral populations of J. nigra and J. mandshurica and NA was the effective population size of the common ancestor of those species; T0 was the divergence time between two ancestral populations of J. regia and J. sigillata, and Nr was the effective population size of the ancestral population of section Juglans (J. regia and J. sigillata). Model 1 (hybrid origin) assumed an admixture event between J. mandshurica (ra) and J. nigra (1 − ra) giving birth to section Juglans at T1. Model 2 (lineage merging) assumed two speciation events that resulted in lineages sister to J. mandshurica and J. nigra at T2 and T3, respectively, which then came together to form section Juglans at T1. The last two demographic models have the same parameters and differ only in their topology: in Model 3 (gene flow from J. nigra), J. mandshurica and a progenitor lineage diverged from the common ancestor of butternuts at T4, and then J. nigra was introgressed into this progenitor lineage at T1 and formed section Juglans; in Model 4 (gene flow from J. mandshurica), J. nigra and a progenitor lineage diverged from the common ancestor of black walnuts at T4, and then J. mandshurica was introgressed into this progenitor lineage at T1 and formed section Juglans. We performed four million simulations for the 26,995 SNP data set with a 5-kb interval and MAF > 0.05 criterion from 35 individuals from the four species. In order to avoid the influence of gene flow between J. mandshurica and J. nigra, we only used four one-sample summary statistics from J. regia and J. sigillata (genic diversities: proportion of zero values, mean of nonzero values, variance of nonzero values, and mean of complete distribution), and four two-sample summary statistics between J. regia and J. sigillata only (Fst: mean and variance of nonzero values; Nei’s distances: proportion of zero values; mean of complete distribution). The 40,000 (1%) simulated data sets closest to the observed data set were selected for choosing the best scenario by logistic regression. Then, we evaluated five million data sets to determine the best model and estimated posterior parameter distributions by using 50,000 (1%) simulated data sets closest to the observed data set.
Population Genomic Analyses in Sliding Windows
Estimates for Fst were calculated in overlapping sliding windows (10 kb in size with 2.5-kb steps) with ANGSD (Korneliussen et al. 2013) with -gl1. We calculated Fst as the weighted mean for each window across the genome. To calculate the nucleotide diversity within populations (π), density of differences (dxy), and fixed differences (df), we used consensus genomes built using SNPs. Numbers of differences were divided by the number of nonmissing sites in every 10-kb sliding window with 2.5-kb steps to obtain the diversity value per site. In order to infer the linkage disequilibrium in three focal species, we used Beagle v. 4.1 (Browning and Browning 2007) to resolve (phase) the distinct haplotypes within each sample. Phased SNPs were further applied into VCFtools v. 0.1.13 (Danecek et al. 2011) to calculate the mean r2 (correlation coefficient) between pairs of SNPs within 50-kb windows.
We used NgsAdmix v. 32 (Skotte et al. 2013) to estimate admixture in 10-kb stepping windows across the genomes (scaffolds with length >1 Mb) of J. mandshurica, J. nigra, and J. regia individuals. We first calculated genotype likelihoods from the bam files mapped to Pl. strobilacea in ANGSD with parameters “-doGlf2 -doMajorMinor 1 -SNP_pval 1e-6 -doMaf 1.” The resulting file was then split into 10-kb stepping windows, put into NgsAdmix, and run with K = 2 as the number of ancestral populations. To visualize the proportions of the parent taxa’s ancestry in J. regia for each window, we set J. mandshurica and J. nigra as parent 1 and parent 2 except for windows where two parent populations were not clearly resolved.
In addition, RAxML was run for 10-kb stepping windows across the genome for consensus sequences from J. mandshurica, J. nigra, and J. regia populations. Six individuals were chosen from each population to eliminate bias caused by unequal sample sizes. The substitution model was again GTR + GAMMA, with 100 rapid bootstraps, and Pl. strobilacea as the outgroup. The resulting trees for each window were then categorized on the basis of whether all J. regia individuals grouped with J. mandshurica or J. nigra, or all individuals of J. mandshurica and J. nigra grouped together or were unresolved (J. regia did not form a monophyletic group). The same method was used with 50- and 25-kb stepping windows to test whether window size affected the proportion of resolved phylogenies.
Chloroplast Phylogenetic Analysis
Reads from each individual were mapped against the chloroplast genome of Persian walnut NC_028617.1 (Peng et al. 2017) using the BWA-MEM algorithm (Li and Durbin 2009) of BWA v. 0.7.12. We then performed variant calling using SAMTOOLS v. 1.3 (Li 2011), with SNPs converted to the Variant Call Format. Using the annotation of the Persian walnut NC_028617 chloroplast genome, 70 protein-coding genes were aligned with MAFFT v. 7.017 (Katoh and Standley 2013) and then converted to CDS alignment with PAL2NAL v. 14 (Suyama et al. 2006). We treated the first, second, and third codon positions from each gene as different subsets, creating in total 3 × 70 = 210 subsets. PartitionFinder v. 2.1 (Lanfear et al. 2017) was used to partition the data into subsets of genes evolving at a similar rate and under the same nucleotide substitution model. The best partitioning scheme comprised seven subsets with lengths of 1,294–13,108 bp. Phylogenetic trees were then inferred with RAxML from the seven partitioned sequence alignments (supplementary section S4, Supplementary Material online).
Supplementary Material
Supplementary data are available at Molecular Biology and Evolution online.
Acknowledgments
We are grateful to Shou-Hsien Li and Song Ge for their insightful comments and to Pei-Chun Liao, Jie Liu, and Dun-Yan Tan for assistance with sampling. This work was supported by the National Key R&D Program of China (2017YFA0605100), the National Natural Science Foundation of China (41671040 and 31421063), the “111” Program of Introducing Talents of Discipline to Universities (B13008), and a key project of State Key Laboratory of Earth Surface Processes and Resource Ecology. The mention of a trademark, proprietary product, or vendor does not constitute a guarantee or warranty of the product by the US Department of Agriculture and does not imply its approval to the exclusion of other products or vendors that also may be suitable. The authors declare no competing financial interests.
Author Contributions
W.-N.B. and D.-Y.Z. conceived of the study. W.-N.B., D.-Y.Z., and S.S.R. wrote the manuscript. B.-W.Z. and P.-C.Y. assembled the genomes. B.-W.Z., W.-N.B., L.-L.X, N.L., X.-H.J, and P.-C.Y. performed the analyses. K.L. and K.E.W. provided samples, contributed ideas, and assisted in editing the manuscript.
References
Author notes
These authors contributed equally to this work.
Associate editor: Claudia Russo