Correction: One-Seeded Fruits in the Core Caryophyllales: Their Origin and Structural Diversity

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Introduction
The Caryophyllales belong to the core eudicots [1] and comprises approximately 12 000 species distributed worldwide [2]. Molecular phylogeny divides the order into two large clades. The first clade, which is often referred to as the core Caryophyllales or caryophyllids, includes taxa in the traditional order circumscription (Caryophyllaceae, Amaranthaceae s.str., Chenopodiaceae, widely accepted embryological data, several authors [39][40][41] suggested that fruit/seed characters became simplified over time (Table 1). Some authors [26] [42] instead hypothesized that the fruit/seed structure became more complex. The indehiscent or irregularly dehiscent fruits in the Caryophyllaceae are now considered to be an ancestral trait retained in Сorrigioleae (or Corrigiolaceae) and Paronychieae, with subsequent radiations to multi-seeded fruits inferred in various lineages, including the majority of Caryophyllaceae (Plurcaryophyllaceae clade: see [43]).
The aim of the present study is to determine the origin and evolution of one-seeded fruits and their structural diversity within the core Caryophyllales. Specifically we attempt to (1) reconstruct the origin and diversification of one-seeded fruits with molecular phylogenetic analysis using a combined rbcl and matK matrix; (2) investigate or ascertain the carpological characters of one-seeded fruits with implications for the recent taxonomy of the core Caryophyllales and to discover the possible peculiarities in the fruit/seed structure within the families in their current circumscription; (3) reconstruct evolutionary history in fine carpological characters to understand their origin and possible changes based on a molecular phylogeny derived from published data for rbcL and matK.

Origin of material and its preparation
The carpology of *460 representatives of the core Caryophyllales were investigated. About 260 species from Chenopodiaceae were included in previous studies [31], [44][45][46][47][48][49][50]. A list of additional plants studied here for the first time is given in S1 Appendix. Specimens were collected by the authors in many parts of Eurasia and Africa and are stored at the following herbaria: B, E, G, H, LE, MW, W, PUC, with simultaneous preservation of the fruits in 70% ethyl alcohol. No specific permissions were required for the locations of the material, and field studies did not involve endangered or protected species (weed species investigated were collected from the families Amaranthaceae, Caryophyllaceae, Chenopodiaceae and Nyctaginaceae in European Russia, Nepal, South Africa and Israel). Other material (mostly fallen fruits) was obtained from herbarium specimens (with permission) and soaked in a mixture of ethyl alcohol, water and glycerine in equal proportions. Anatomical cross-sections were made by hand or with a microtome. For the majority of the families, the pericarp or seed structure did not depend on the topology of the cross-sections. However, we argued that the fully developed pericarp structure in some Amaranthaceae s.str. (Gomphrenoideae, Achyranthoids) and Chenopodiaceae (Salsoloideae) is represented in the upper part of the fruit, while the lower parts are characterized by reduced zones and layers. This topographically dependent inequality of pericarp layers also occurs in one-seeded Caryophyllaceae, as noted by Rohweder [39] and Schiman-Czeika [51]. The most valuable data sources in these three families were therefore obtained from cross-sections made from the upper part of the fruit. For tissue staining, the following solutions were used: 0.2% aqueous toluidine blue or 1% aqueous solutions of Safranin + 1% Light Green in concentrated picric acid were used for general tissue staining, Sudan IV for revealing fatty substances and Lugol's iodine for revealing starch. To detect crystals, sections were viewed under polarized light. Prior to scanning electron microscopy (SEM), the material was dehydrated in aqueous ethyl alcohol solutions of increasing concentration, followed by alcohol-acetone solutions and pure acetone. SEM observations were made with a JSM-6380 (JEOL Ltd., Japan) at 15 kV after critical point drying and sputtercoating with gold-palladium. The carpological terms used are those of Werker [52].
DNA sequence data for two plastid loci, matK and rbcL, were taken from the GenBank/ EMBL databases (S1 Table), concatenated and analyzed as a single dataset using Maximum Likelihood (ML) (RAxML 7.0.4; [53]) and Bayesian analyses (BI) (MrBayes 3.1.2; [54]), as described in Crowl et al. [55]. Two runs with four chains each (three heated and one cold) were run for 15 million generations; the chains were sampled every 1000 generations with default parameters. The first 1000 Bayesian trees were discarded as burn-in, and posterior probabilities were calculated from the majority-rule consensus (50%) of the remaining trees sampled in both runs. At the end of the runs, the standard deviation of split frequencies between the two runs had fallen to 0.0060 [55] for the alignment strategy. Maximum parsimony reconstructions of the histories of the characters were performed using Mesquite v. 2.75 [56]. The topography of the taxa in the combined tree ( Fig. 1) is almost the same as fin recent investigations [5], [8]. The most significant change concerned Microtea and Macarthuria. In contrast to the previous data that indicated Macarthuria as the sister clade of Microtea and other clades (incl. the 'Globular Inclusion' and AAC+CC clades), our analysis recovered Macarthuria as the sister group of the 'Globular Inclusion' clade. The genera Limonium, Polygonum and Drosera (polygonids) were chosen as outgroups.

Results
Origin of one-seeded fruits in the core Caryophyllales (Fig. 2) For the analysis, the number of seeds in the fruits were classified into three types: 0one-seeded fruits, 1multi-seeded fruits, 2conjoined (both one-and many-seeded) fruits within an individual.
The one-seeded fruit type is the ancestral character state for all the Caryophyllales (core Caryophyllales + Polygonids).
Earlier diverging lineages. One-seeded fruit type is the initial character state in all the clades of the 'Earlier diverging' lineages (Rhabdodendron, Physena, Asteropeia, Microtea). Simmondsia, however, as the first lineage, is characterized by a labile seed (1 to 3) number.
AAC+CC clade. The one-seeded fruit type is the ancestral character state for the AAC+CC alliance. Many-seeded fruits mostly evolved in the Caryophyllaceae+Corrigiolaceae families. This tendency is seen in the Corrigiolaceae (gen. Telephium) and in the tribe Polycarpaeae. The multi-seeded fruit type is the ancestral character state in the large Plurcaryophyllaceae clade (Sperguleae, Sagineae, Sclerantheae, Arenarieae, Caryophylleae and Sileneae), with rare cases of reversion to a one-seeded character state in Scleranthus (Sclerantheae), some Stellaria (Alsineae) and (not shown in the tree) in Sileneae (Silene ampullata) and Caryophylleae (Scleranthopsis, Saponaria, and Acanthophyllum). In the ААС clade, the conjoined fruit types are the ancestral state only in tribe Celosieae (Amaranthaceae), with a further change to form stable multi-seeded capsules (Pleuropetalum).
The data presented here provide the most valuable information about the fruit and seed structure of the families investigated. Based on these features, we compared fruit and seed data for many groups of the core Caryophyllales, with further evolutionary reconstructions of several carpological characters using a plastid-based phylogeny.

Discussion
Fruit and seed anatomy of the families investigated and its taxonomic importance Earlier Diverging lineages. Almost all the families of the 'Earlier diverging' lineages-the monotypic Rhabdodendraceae, Simmondsiaceae, Physenaceae and Asteropeiaceae-clearly demonstrate a distinctive carpological structure in contrast to the other members of the order. This is expressed in the possession of a thick pericarp divided into several topographic zones, and in their unusual seed-coat structure. The seed coat typically consists of many layers, but they are all are equal in size. Differentiation into a thick one-layered exotesta and thin one-to several-layered endotegmen was reported to be typical for core Caryophyllales [20], but was not observed in any of our representatives. The perisperm was not found in the ripe seeds.
Rhabdodendraceae. This is a monotypic family with several species in tropical America. Its systematic position within Caryophyllales was based on important anatomical and palynological data [57]. Investigations concerning the characters of Rhabdodendron [57][58][59][60][61], however, showed that the genus is distinct in many details from other members of the order. This is also true for its gynoecium structure. The style appears to be in a lateral position (anacrostyly) and thus the fruit axis is displaced horizontally. Three topographic zones can be distinguished in the fruit: an exocarp with thickened walls, a tangentially elongated thin-walled parenchyma, and a very hard pyrena consisting of many-layered stone cells filled with tannins. The seed coat is brownish and parchment-like, of three to four thin layers, with equal cells havingbar-thickened walls. The seed embryo appears horizontal but is actually vertical due to displacement of the fruit axis. Only traces of nutritive tissue are found in the seed.
Simmondsiaceae. This family consists of a single species, Simmondsia chinensis, with a narrow distribution in the Sonoran desert [62]. Its systematic position was uncertain (e.g., [63][64][65][66]), but many of its anatomical characters do not correspond with families earler considered to be relatives such as Buxaceae or Euphorbiaceae [20], [67][68][69][70]. Recently Simmondsiaceae was placed as diverging near the root of the core Caryophyllales [3], [4]. Only wood anatomy in this family appears to be similar to the other core Caryophyllales and was evaluated as primitive in all dicots [71].
Its fruit and seed anatomy ( Fig. 3A-B) are indeed very unusual within core Caryophyllales. Despite reports that only one seed is present in the capsule [23], [72], sometimes with several rudimentary ovules [73], we also found two or three completely developed seeds in the fruit. Anatomically, the pericarp possesses a one-layered exocarp comprising radially elongated sclereids. Spherical cells of underlying parenchyma (0.7-1.3 mm thick), partially filled with tannin-like substances, form at least 15 chaotically arrangedlayers. In its lower half, this thinwalled parenchyma is intermixed with brachysclereids. The next fewthinlayers of parenchyma consist of crumpled, tangentially elongated cells without tanniniferous content. The inner epidermis comprises spherical cells impregnated with tannins. Both seed integuments consist of *20 layers [20] with no crushing in the ripe seed and cells are filled with tannins. Our investigation confirms previous observations on seed anatomy [20], [23], [67] with some amendments: (1) the number of layers in the dorsal part of the seed is increased in contrast to the ventral surface, and (2) the outer seed-coat layer may consist of both radially elongated and tiny (8-12 μm) thick-walled cells.
The peculiarities of the seed coat are connected with their significant thickness (from 180 μm) and its subdivision into several topographical zones (sclerified layers; loose isodiametric, mesotestal layers; and inner epidermis). The seed cavity is completely filled with a straight embryo that is oriented vertically. The highly diversified and thick fruit and seed covers, the presence of the tannins in many (vegetative and reproductive) organs [68] and liquid wax in the seeds [74] all serve to distinguish Simmondsia from almost all other members of core Caryophyllales.
Physenaceae and Asteropeiaceae. These two monotypic Madagascan families were only two decades ago placed in an extended Caryophyllales [75]. The combined rbcL/matK analysis supports their position within the root of the core order as sister groups [3]. As in Simmondsia, the wood anatomy is the more primitive type seen in angiosperms [76]. It also appliesto the pericarp of Physena and Asteropeia, which is robust (0.4-0.6 mm thick in Physena madagascariensis, 0.6-0.8 mm in P. sessiliflora, and greater than 1 mm in Asteropeia), and consists of many layers that are divided into two topographic zones ( Fig. 3C-D): (1) mechanical tissue and (2) thin-walled parenchyma. In both species of Physena, the outermost layer consists of radially elongated sclereids with cristate cell cavities that are substituted below by a many-layered sclerenchymatous parenchyma (more than 20 cells). The cells of the mechanical sheath of Asteropeia densiflora have even thickness, and they often have a tannin-like content. Asteropeia multiflora has an outermost layer of radially elongated cells, and several additional layers with rounded cells. The parenchymatous layers form a robust many-layered zone with discontinuous vascular bundles.
The fruit bears only a single ripe seed [77]. The seed coat is especially thick (more than 350 μm) in Physena and consists of many layers whose cells are impregnated with tannins ( Fig. 3E). This robust seed coat looks similar to that in Simmondsia, but there are air cavities in the mesotestal layers (P. madagascariensis) or hair-like outgrowths of the exotesta cells (P. sessiliflora). In contrast, the seed coat of Asteropeia is thinner and consists of two to five unequal cells that are also filled with tannins. The seed embryo is straight with curved imbricate cotyledons. Only traces of nutritive tissue are found in the representatives of both families.
Macarthuriaceae. It is a recently described monotypic family [78] restricted to Australia that consists of about 10 herbaceous to shrubby species. The systematic position of Macarthuria within the core Caryophyllales has been labile [79] (with references herein). Most authors placed the genus in Molluginaceae (e.g. [80]), despite some differences in the general characteristics, including the presence of the funicular seed aril [81]. Recently the genus was included in one of the deepest lineages of core Caryophyllales based on both rbcL and matK markers [4], [5], [82].
Anatomically, the pericarp of Macarthuria is distinct in that both the thick-walled exocarp and endocarp are impregnated with tannins (M. australis), and in having a two-to four-layered thin-walled mesocarp (Fig. 3F).
Microteaceae. This family was recently established [2] and comprises a single genus with several annual species that are distributed in the tropical parts of America. It is distinguished by its possession of small (1-3 mm), spherical, and indehiscent fruits containing a single seed. The pericarp varies among species: its surface can be smooth or alveolate, or contains prickles or acute outgrowths ( Fig. 4A-B). The presence of projections was one of the reasons used to transfer M. maypurensis into a separate genus, Ancistrocarpus [83]. However, all investigated Microtea species share the same carpological traits: (1) the presence of a parenchymatous pericarp that is tightly adjoined to the seed coat, (2) a thick testa, and (3) a thin tegmen with barthickened walls. The embryo is vertical, annular or (in M. maypurensis) slightly bent.
Two lineages, Microtea and Macarthuria, are the first clades sharing carpological characters that are typical for the majority of the members of the order. They have: (1) a relatively small (1.5-5 mm) fruit and seed, (2) a non-multiplicative black seed coat with a crustaceous (thick) single-layered testa (30-50 μm), and one to several barely noticeable endotegmen layer(s), and (3) the central position of the perisperm in the seed and annular embryo shape.
AAC+ CC clade. The Caryophyllaceae alliance (Caryophyllaceae s.str. + Corrigiolaceae)-This alliance consists of *2200 species distributed worldwide (Caryophyllaceae s.l. in [84]) and is one of the deepest, but highly diversified clades in the core Caryophyllales [3] with some archaic traits in stem anatomy [85]. The former classification of Caryophyllaceae into three subfamilies based on reproductive character sets appears to be unreliable [86], [87]. Further reconstructions of the character states within the new taxonomic rearrangement show that the representatives with the indehiscent or irregularly dehiscing one-seeded fruits first evolved in the deepest clades (Corrigioleae, or Corrigiolaceae; Paronychieae, and partially Polycarpaeae), and the evolution of capsules from a one-seeded fruit type is a common trend in many clades [43]. A tendency of reduction in seed number is assumed in all tribes in which one of several to many ovules becomes the surviving seed (e.g., [39], [51]), but this trend is exceptionally rare in the remainder of Caryophyllaceae (Caryophylleae: Acanthophyllum, Scleranthopsis, some Saponaria, and Sileneae: Silene ampullata). Investigations have shown that Saponaria species, especially S. ocymoides, usually considered as having one seed in the capsule, can in fact develop one to four seeds [88]. Although many members of Caryophyllaceae s.str.are thought to be well-studiedcarpologically, especially with regard to their seeds, we uncovered additional carpological variation that has not attracted attention so far.
The first clade in this allianceis Corrigiolaceae (or Corrigioleae), consisting of two genera-Corrigiola and Telephium [43], [89]. We recognizeCorrigioleae atthe familial level, as proposed by Dumortier [90],based on its position as the sister clade of other Caryophyllaceae s.str. An unusual trigonous pericarp shape is found in both Corrigiola and Telephium (see also [91]), but Corrigiola andina and C. africana possess almost orbicular fruits, hardly sharp-edged and then only at the apex. Another peculiarity of both genera is an almost completely sclerified pericarp consisting of many (7-10) layers. The sole exception is Telephium imperati, which has two (-three) outermost sclerenchymatous layers. The unlignified cells substitute the sclerenchyma only beneath as 1-3(-5) innermost, often crushed layer(s). However, these genera differ from each other by the fruit type, which can be a many-seeded (dehiscent) capsule (Telephium) or a one-seeded utricle (Corrigola), contrasting with previous reports of a one-seeded utricle as the only fruit type [43]. Although the fruit of Corrigiola is always described as indehiscent, Rohweder [39] stated that its loculicidal ('ribbed') dehiscence occurs only at seed germination.
In contrast to Corrigiolaceae, the pericarp of Caryophyllaceae s.str.is usually not very thick, and cell-wall sclerification is found in the epidermis and (facultatively) in one or several subepidermal cells only (as in Telephium imperati). A similarthinner pericarp with the same topography is found in multi-seeded fruits in the representatives of Sileneae [92], and in the present study in Sperguleae, Polycarpaeae(Ortegia), Sclerantheae (gen. Schiedea) as well as in one-seeded fruits of Minuartia hamata (Sagineae), Acanthophyllum (Caryophylleae), and Cometes (not included in the molecular analysis). The second type of pericarp zonal division, in Scleranthus (Sclerantheae), involves sclerification of the cell walls of the inner layers at the apexof the fruit that is anchored. However, the sclerification of the pericarp is totally absent in most members with one-seeded fruits, and the thin pericarp consists of parenchymatous layer (s) (Herniaria, Anychia, Gymnocarpos, Pteranthus, some Paronychia: [93]). Rarely, the supporting tissue is absent in many-seeded fruits in which the outermost layer consists of living cells with more or less thickened walls (Sclerantheae: Wilhelmsia physodes, Honckenya peploides; Sileneae: Silene baccifera). In such fruits, which have a parenchymatous pericarp, the innermost layer consists of cells with thick anticlinal and inner periclinal walls, but with no fine crystalliferous content. The parenchymatous pericarp of Illecebrum verticillatum consists of parenchymatous cells with bar-thickened walls.
Of all the Paronychieae, Paronychia appears to be the most complicated genus. Molecular investigations suggest that Paronychia is not monophyletic and is divided into two different clades within the Paronychieae [43]. From a carpological point of view, some species possess a parenchymatous one-to two-layered pericarp (P. argentea, P. amani), but P. kurdica, P. capitata, P. chionaea and P. chlorothyrsa have a thin-walled exocarp and endocarp and sclerified cell walls with a crystal-filled mesocarp.
The seeds are quite diverse. Keeled seeds are rare but are found in Telephium imperati(Corrigiolaceae) and Herniaria(Caryophyllaceae) species, for example. The seeds can take two forms (especially in Corrigiolaceae): smooth, with equally thick testa and tegmen (Corrigiola), or clearly mamillate (Fig. 4C), with a thick testa and a thin tegmen (Telephium). The smooth pattern is most common in Paronychieae and Sclerantheae, whereas the sculptured (mamillate, alveolate or finger-like) testa is quite well developed in the cladesSperguleae, Arenarieae, Alsineae, Caryophylleae, and Sileneae. However, the representatives of Acanthophyllum have only one-seeded fruits that can have various (smooth, alveolate or finger-like) types of seed coat, and Stellaria monosperma is characterized by having one-seeded fruits with a smooth seed surface, in contrast to other Stellaria taxawhose fruits contain many seeds and have mamillate sculpturing. The majority of the alliance's representatives have curved (annular) embryos, but we agree with Pal [94]that bent or straight embryos are not rare in many taxa in Caryophyllaceae s.str. (e.g. Achyronychia, Polycarpon, Illecebrum, Pteranthus, Pollichia). One additional embryo type is known in several members: in Spergula and Drypis [84] it is coiled in 1.5 turns. In spite of different degrees of curvature of the embryo, it is oriented vertically in all the members.
Achatocarpaceae. This family comprises two American shrubby genera: Achatocarpus (about 15 species) and the monotypic Phaulothamnus. The small female flowers produce translucent berries which turn black when dry. In the past, Achatocarpaceae was considered to be part of Phytolaccaceae which has an uncertain position in the family [95], [96]. The distinct wood anatomy [97] and the absence of anomalous secondary thickening inthe stem [9] have supported its familial status, as proposed by Heimerl [98]. The twogenera share similar pollen structure [99], [100] and carpological characters described here. The pericarp is divided into four topographic zones: (one-) two-to five-layered outer epidermis, a rare trait in core Caryophyllales, (2) underlying multi-layered soaked parenchyma, (3) one to two layers of U-shaped cells with fine crystalliferous content, and (4) one-layered inner epidermis. The seed coat consists of a robust testa and thinner tegmen that have bar-thickened walls; theembryo is vertical. Abundant starch-granule conglomerates are found in the perisperm, and this carbohydrate type hasapparently not beenfound in other core Caryophyllales so far. In addition to this peculiarity, we note that Achatocarpaceae is the first lineage in AAC clade which has evolved a pericarp with a multi-layered outer epidermis and a layer with U-shaped cells with fine crystalliferous content. A similar multi-layered outer epidermis is also found in the pericarp of restricted Chenopodiaceae members of different taxonomic position: in three Anabasis species [31] and Holmbergia tweedii [101].
Amaranthaceae s.str. This is one of largest families (*700 sp.) distributed in the Tropics. It is the sister clade of Chenopodiaceae [102]. Most species have one-seeded fruits, with a single exception: tribe Celosieae has several-or many-seeded fruits. The fruit and seed anatomy of Amaranthaceae are poorly investigated. The fruit anatomy is known in the closely related genera Amaranthus and Chamissoa only. Costea et al. [103]discovered a four-to eight-layered pericarp in some Amaranthus consisting of unlignified cells. In Chamissoa, the pericarp is composed of both epidermal parenchyma and sclerenchymatous mesocarp [104]. The seed coat is reported to be thick [105]. However, none ofthese descriptionsrepresents the main carpological structure in Amaranthaceae (see below). The groups in the family are named according to Müller and Borsch [106] whose circumscription is generally confirmed by recent studies [107], [108]. The first grades of Amaranthaceae include subf. Polycnemoideae [109] and the genera Bosea and Charpentiera.
Subfam. Polycnemoideae. This group was transferred from Chenopodiaceae to Amaranthaceae [102], [107] and consists of four small genera [109] with a disjunct range pattern: Nitrophila (America), Polycnemum (temperate Eurasia + North Africa), Hemichroa and Surreya (both from Australia). Polycnemum and Hemichroa are investigated here, and many traits (including pericarp outlines, pericarp adherence to the seed coat) are found to be diverse (S2 Table). Both genera, however, have a homocellular parenchymatous pericarp and black seeds that have a more or less hard testa, with stalactites in the outer cell wall (Fig. 5A). One peculiarity in H. pentandra is that one seed margin is keeled and the other is rounded.
Bosea. This is a genus of three shrubby species with a small anddisjunctrange pattern: B. amherstiana occurs in NW Himalaya, while B. cypria and B. yervamora are found in the Mediterranean area (Cyprus and Canary Islands, respectively). There are no differences in their carpological characters. The fruits are red-coloured berries with a multilayered pericarp that consists of (1) a one-layered outer epidermis; (2) a robust parenchyma that accounts forthe fruit'sfleshiness; (3) U-shaped cells with fine crystalliferous content, and; (4) an inner epidermis. There are no data on the dispersal of Bosea fruits [110], [111], but they should be welladapted to bird dispersal, as they have an attractive pericarp color and a hard testa 30-100 μm thick that should protect the embryo after digestion (Fig. 5B). The embryo is mostly curved, but can be almost straight in B. yervamora.
The main pericarp type in Amaranthaceae (Bosea, Charpentiera, Achyranthoids, Gomphrenoideae, Celosieae, and some Amaranthoids) is observed to have zonality. Only a few details distinguish the pericarp of Bosea from most other representatives ofthe family. It has a thick subepidermal parenchyma that is colored, and a robust seed coat. Together with morphological data [112], [113], these carpological results confirm the similarity of Bosea to Amaranthaceae and not to Anacardiaceae that is proposed by Kunkel [114], the members of whichhave other traits in fruit/seed structure, as studied by Plisko [115].
Charpentiera. Eight tree-like species are locally distributed in Polynesia [116]. Two species investigated here have a dry, thin pericarp of four to five layers (C. obovata) or many layers (6-10 layers in C. australis), but with the same topography as Bosea. The seeds have a crustaceous testa (50-60 μm) with stalactites in the outer cell walls and compressed protoplast. The embryo is sometimes underdeveloped ( [117], and present investigation).
Amaranthoids (Amaranthus, Chamissoa, Pleuropterantha). In general, all three genera have similar pericarp structures that differ only marginally. The core genus Amaranthus often possesses a pericarp with an alveolate or rough surface, and its mesocarp has radially elongated, parenchymatous cells located in three to eight layers, often with largeintercellular spaces [103]. The pericarp of Chamissoaaltissima consists of several (four to six) layers that are tightly packed but without any intercellular cavities. In contrast to a previous investigation [104], we found that this sclerenchymatous layer (the innermost layer of mesocarp) located above the inner (often crushed) pericarp epidermis consists of large U-shaped cells with a fine crystalliferous content. The innermost mesocarp layer of Pleuropterantha revoilii is distinguished in having equally thickened (O-shaped) cells with monocrystals (Fig. 5C). The monocrystals are not found in Amaranthus or Chamissoa, but scattered cells with a fine crystalliferous content in the upper part of the fruitare present in some members of Amaranthus (e.g., A. muricatus, A. viridis).
The seeds mostly have a thick, crustaceous testa with vertical stalactites in the outer cell walls (Amaranthus, Chamissoa). In some Amaranthus, the evident structural heterospermy is evolved with predominating one of two (dark or yellow) seed types, the latter lacking stalactites. Pleuropterantha is distinguished by having thin, almost equal seed coat layers that lack stalactites in the testa cells.
Achyranthoids (of which Achyranthes, Centemopsis, Cyphocarpa, Mechowia, Cyathula, Pandiaka, Sericocomopsis, Sericostachys, Pupalia were studied). The pericarp structure is the main pericarp type of Amaranthaceae (i.e. a parenchymatous exocarp, subepidermal parenchyma facultatively present when the pericarp layers are more than two, crystalliferous layer with U-shaped walls and finely divided content or several small prismatic crystals, and easily visible inner epidermis). Rarely, the U-shaped cells are substituted by cells with completely sclerified walls and several rhombic crystalls (Mechowia), or the pericarp is homocellular (Fig. 5D). The seed coat is mostly thin, and the thickness of the testa is either twice that of the tegmen, or testa and tegmen are equally thick. The testa of Pupalia lappacea is unusualin being thick, black, and crustaceous.
Aervoids (Aerva, Ptilotus). Both genera investigated here correspond to achyranthoids in their pericarp structure, but in Aerva the seed coat is thicker (12-25 μm) with a stripe-like protoplast and stalactites in the outer cell walls.
Subfam. Gomphrenoideae (Gomphrena, Blutaparon, Froelichia, Alternanthera, Tidestromia and Pseudoplantago are studied here). The fruit and seed coat structure of nearly all thesegenera is similar to that ofthe achyranthoids and consists of two to three, orrarely many (Froelichia gracilis) layers. The crystalliferous layer in the pericarp is mostly represented by cells that have thickened walls with rhombic monocrystals in the cell content, or that rarely are fine crystals (Blutaparon). U-shaped cells with finely divided crystalliferous content are found in Tidestromiaoblongifolia. The seed coat does not differ from that of most achyranthoids (except in Pupalia, see above).
Tribe Celosieae (Celosia, Hermbstaedtia, Deeringia, Pleuropetalum). This group is distinguished by dehiscent fruit containing several or many seeds inserted basally (Fig. 5E). The one-seeded fruits have been noted onlyin some Celosia [118], but they are not an exception to the rule and have been occasionally found by us in Hermbstaedtia glauca and Deeringia amaranthoides. The pericarp of Celosia, Hermbstaedtia and Deeringia is divided into four topographic zones, as in Bosea. Both species of Deeringia investigated here (Asian D. amaranthoides and Madagascan D. mirabilis) have the same fruit and seed anatomy as other Deeringia members that can be used as an additional character to include the latter species within Deeringia as part of Celosieae-Amaranthaceae, asproposed by Applequist and Pratt [119]. The seed resembles Amaranthus in that it has a thick testa with stalactites in its outer cell walls.
Chenopodiaceae. Chenopodiaceae is one of the largestfamilies within core Caryophyllales and comprises *1600 species distributed worldwide butmostlyoutside tropical regions. Until now, only the leaf structure of Chenopodiaceae could be assigned to the recent molecular classification with subdivisions into several clades [102] that generally corresponds with the subfamilial system as proposed by Ulbrich [120]. The fruit and seed anatomy of the family (and their taxonomic implications) have beenintensively studied [31], [44], [46], [47], [49], [50], [121]. We proposehere that a different set of carpological characters is found for everysubfamily, and suggest that our data are of particular importance for delimiting of each of them (S2 Table, Table 2; Fig. 6A-E.).
Chenopodiaceae-Amaranthaceae alliance: carpological similarities and differences. A close relationship between the twofamilies wassuggestedafter the discovery of a special form of their sieve-element plastids [122], and some similarities in their pollen morphology [123], [124]. The twofamilies also share many carpological features. The Chenopodioideae (mostly Chenopodieae tribe) and Amaranthus species share the simple parenchymatous pericarp and seeds with hard testa containing stalactites, and Salsoloideae (Chenopodiaceae) resemble the majority of Amaranthaceae in pericarp anatomy [31] (inner epidermis, parenchyma, cells with crystalliferous content, and inner epidermis). In both families the complicated pericarp histology has evolved in the upper part of the fruit, whileits structure in the lower half comprises homocellular thin-walled cells. The function of the crystalliferous layer is not clear, but it may impede the transmission of sunlight to the underlying tissue [125].
In contrast to Amaranthaceae s.str., the solitary prismatic crystals in the U-shaped cells of the pericarp were found within Chenopodiaceae only in Fadenia zygophylloides, before this wastransferred to the genus Salsola [126]. No cells with equally thickened walls (O-shaped cells) and containing prismatic crystals have beenfound in the pericarp of Chenopodiaceae. Such monocrystals are especially common in the pericarp of Amaranthaceae-Gomphrenoideae, but seem to be rare in the vegetative organs of Amaranthaceae [127], or else the crystals are deposited in the form of sand [112]. This feature is also characteristic ofthe pericarp of Pleuropterantha, which was originally included in Chenopodiaceae ( [128] sub Salsolaceae), and in the enigmatic Chinese genus Baolia, known from only one location near the border of Sichuan and Gansu provinces [129]. The presence of leaf stipulae and thedetails of its fruit anatomy do not confirm the previous placement of Baolia within the tribe Chenopodieae, as proposed by Zhu [130]. The classification of Baolia within subf. Polycnemoideae as a part of Chenopodiaceae [131], that is now considered to be a member of Amaranthaceae s.str. [102], [109], is also weakly supported by two unique carpological characters: pericarp alveolation  One-Seeded Fruits in the Core Caryophyllales resulting from the rupturing of the thin outer cell wall of the outer pericarp layer, and the presence of monocrystals in the O-shaped cells in the innermost mesocarp layer. A second difference between the two families concerns the diverse spatial embryo position in the seeds. The emergence of the horizontallyoriented embryo in many Chenopodiaceae groups is not found in theAmaranthaceae or in almost all the other one-seeded members of core Caryophyllales. Some groups of Chenopodiaceae can also be distinguished by spatial heterospermy in the partial inflorescences, which likely evolved mixed horizontal and vertical embryo positions within one individual plant [49], [132].
'Globular Inclusion' clade. Sarcobataceae. This monotypic family (1-2 shrubby species in North America), which was established by Behnke [133]on the basis of thedistinctive sieve-element plastids, is well supported by molecular results [3]. However, some recent authors [37], [134], [135] still accept its placement within the Chenopodiaceae [120], [136]. We postulate here that the development of a radial wing from the middle portion of the pericarp of Sarcobatus (Fig. 6F) is a unique case in the core Caryophyllales, in contrast withthe "winged diaspores" in Chenopodiaceae, which (when present) are formed mostly from theperianth, or rarely themarginal parts of the fruit. The pericarp anatomy of Sarcobatus sets it apart from all Chenopodiaceae studied to date [31], [44], [46], [49], [137], [138]. Except for the wing area, the pericarp is ribbed, flattened in the lower half (up to thewing), and unequally thick, from 100-125 μm in the ribs, to 50-60 μm between them, and it is differentiated into several topographic zones (Fig. 7A): (1) a unicellular epidermis possessing scattered T-shaped, stellate and simple trichomes; (2) parenchyma cells that contain druses; (3) mechanical tissue of 1-2 layers arrangedparallel to the fruit axis; (4) an inner epidermis. Vascular bundles are present in the ribs. The cells of the inner epidermis in the rib zone sometimes bearshort cylindrical papillae. The wing consists of parenchyma and fibers with the cells from 1 mm long. The two-layered seed coat does not adhere but tightly adjoins the pericarp. Its cells are thin-walled, equal in size, or (between the ribs) the outer layer consists of spongy cells. The seed embryo is vertical, spirally coiled in two turns; the perisperm is scarious, one-to two-layered, and is located peripherally near the seed coat.
Although the family belongs to the so-called 'Raphide clade' [4], only druses are found in the pericarp parenchyma.
Nyctaginaceae. The Nyctaginaceae is mostly an American family (*400 sp.) with a few members found in Africa, Asia and Australia [139], [140]. A diagnostic character of Nyctaginaceae is the persistent lower part of the perianth that usually appears to be accrescent, fully enveloping the fruit and as a rule containing mucilage [141][142][143]. In contrast to the taxonomic importance in the family of the anthocarp structure [98], [144][145][146], the pericarp and seed coat seem to be less diversified. The pericarp is dry, smooth, rarely ribbed(Guapira graciliflora) and not papillate, but can havestellate trichomes onits surface (andother organs), a feature that is peculiar to the Leucastereae [147]. The pericarp is one-to two-(three)-layered, rarely four-to five-layered and not divided into different topographic zones but tightly adjoining the seed coat. According to the embryological studies, the one-layered, thin pericarp in Nyctaginaceae results from the obliteration of all of the innermost layers [148], [149]. However, some genera are characterized by having a pericarp that consists of several or many layers that can be rather transparent, although sometimes they maybe brownish due to the presence of tannin-like substances. The robust 5-12-layered parenchymatous pericarp in the ripe fruits is found in Andradea as part of tribe Leucastereae and in Bougainvillea (Bougainvilleeae). Although the pericarp of Andradea possesses vascular bundles with bar-thickened walls that are not found in other genera, it is exceptionally brittle. The alveolate fruit wall of Cryptocarpus and Salpianthus bears three to six layers of dead, tannin-filled cells with inclusions of raphides located subepidermally (Cryptocarpus) or as theinnermost pericarp layer (Salpianthus). A similar pericarp structure is observed in Boldoa purpurascens, but the fruit wall is thinner, and the raphides are visible with the naked eye as white striae. A multi-layered pericarp was found in one of the samplesof Pisonia aculeata.
The seed coat consists of two to four membranous layers formed by both integuments (testa and tegmen), but they often appear to be equally thick, or the testa is insignificantly thicker than the inner layer(s). In the tribes Leucastereae, Colignonieae and Boldoeae the seed coat is described as crustaceous [98]. These groups are distinguished by having a thick seed coat, but their structure is not equivalent. Colignonieae and Leucastereae have largetesta cells with welldeveloped intermediate layers, but there isno decrease of the protoplast or impregnation of the cell walls with the stalactites (Fig. 7B). The seed coat is brittle in Leucastereae. Boldoa purpurascens (Boldoeae), Cryptocarpus pyriformis and Salpianthus aequalis have black seeds with a robust testa possessing stalactites in its outer cell walls which influence the compression of the cell content (Fig. 7C). The stalactites in the testa are not mentioned in other Nyctaginaceae tribes. The majority of representatives in the other tribes clearly have a thinner seed coat with tangentially elongated testa and tegmen cells (Fig. 7D). The embryo is vertical and usually curved with perisperm often present. Only in the tribe Pisonieae in its recent circumscription [150] do the seedshave a straight embryo that fills the seed, and in most cases the perisperm is lost. Aslightly bent and small embryo is found in Colignonia scandens. We observed raphides in the embryonic cotyledons of Commicarpus species.
The family is distinguished by three peculiarities in their fruit/seed anatomy within all oneseeded core Caryophyllales: (1) the presence of scattered raphides in the pericarp, seed coat, and even the embryo (e.g.Commicarpus), mentioned by Wilson [151]for the testa cells of some Abronia, where they were called 'aleurone grains'. These crystalliferous inclusions are also present in vegetative organs [127], [152][153][154][155][156]; (2) in many of the Nyctaginaceaethe pericarp is onelayered and very thin (a few mm thick) tightly adjoining the seed coat; (3) the perisperm (if present) is two-lobed or consists of two separatedparts; it is entire only in Boldoa, Salpianthus and Cryptocarpus.
Basellaceae. This is a small family of four genera (Basella, Ullucus, Anredera, Tournonia) with diversity in the Tropics, predominantly of the New World. Until now, the pericarp of Basella has sometimes beenconsidered to befleshy [23], [157]. We agree with investigations by Franz [158] and Lacroix [159], and with the exact morphological descriptions of the Madagascan endemics of Basella [160], who noted that the consistency and colour of the diaspore is mostly provided by water-filled floral structures (subtending bracts and tepals) that tightly envelop the fruit, while the fruit itself is hard in all members of the family. The exocarp of Basella, represented by a sclerified layer, can also be slightly pink [18] due to pigmentation of thecell contents. In Basella alba and B. rubra, the exocarp cells are radially elongated, but in B. paniculata some parts of the fruit may contain two sclerified layers (exocarp and outermost mesocarp layer) with no cell elongation. The underlying 2-4 mesocarp layers can consist of unlignified parenchyma, but in some fruits these layers are represented only by fibers that are rounded in cross-section. The seed coat tightly adjoins the pericarp and comprises several layers with a prominent development of the testa [23].
In other genera these elongated exocarp cells are not found. The outer sclerenchymatous layer is present in both Anredera brachystachya and A. scandens with a parenchymatous layer beneath. However, in the basal part of the fruit of both mentioned Anredera species investigated and especially in its upper portion (near stylodia), the pericarp layers increase to five to seven layers due to the emergence of parenchyma covering the sclerenchymatous layer from above, whilesuch parenchyma is lacking in the middle or lower parts of the fruit. Within the core Caryophyllales, this structure seems to be a unique case in which the epidermal layer transitionsfrom parenchyma to sclerenchyma depending on the fruit topography. Anrederacordifolia, formerly placedwithin the genus Boussingaultia (B. gracilis) and now recognizedas a member of Anredera [161], possesses parenchymatous pericarp layers. The same topography is found in Ullucustuberosus, although its pericarp appears to be alveolate. Tournonia hookeriana has a many-layered pericarp made up entirely of sclerenchyma (Fig. 7E).
The most recognizable carpological characters of Basellaceae are: (1) globose fruits, (2) significant tanniniferous impregnation of the outer cell wall of the testa in contrast to other seed-coat cell walls (the inner cell wall of the tegmen is also impregnated with tannins in Basella), and (3) embryos with a tendency to be spirally twisted [162].
Its new wider circumscription includes the Madagascan members Didierea, Alluaudia, and Decarya, and the South and East African Ceraria, Calyptrotheca and Portulacaria [163], [164]. Almost all taxa have one-seeded fruits, including Calyptrotheca that have unusual splitting of the capsule from the base upwards [165], although we have observed one to three normally developed seeds in Calyptrotheca somalensis. Some of the genera (Didierea, Decarya) are distinguished by trigonous fruit outlines that resemble those of some Polygonaceae, and Ceraria possesses flattened fruits that sometimes have large simple trichomes (C. namaquensis). The general pericarp topography (Fig. 7F) is found to be the same in almost all genera investigated (except Ceraria): sclerenchyma as outer layer(s), and unlignified, sometimes hardly noticeable or crushed cells beneath with prominently expressed mesocarp layer(s). A one-layered sclerenchyma (exocarp) is found in Didierea, Alluaudia and Decarya (subfam. Didiereiodeae), whereas Calyptrotheca (Calyptrothecoideae) possesses several lignified layers substituted below by tangentially elongated and sometimes crushed parenchyma. Two investigated Ceraria species are distinct in their pericarp anatomy: C. namaquensis has a multi-layered pericarp consisting of 7-10 layers of parenchyma and 1-2 sclerenchyma layers beneath, with largeair cavities in the marginal parts supported by a sclerenchymatous sheath, and C. longipedunculata possesses a 3-4-layered, thin fruit wall with anindistinct exocarp with scattered glandular trichomes as well as an endocarp, and a prominent intermediate cell layer filled with tannins.
The seed is supplied with an aril (except Ceraria), and there is noperisperm; the embryo is in a vertical position. The seed-coat testa can be robust, especially in Calyptrotheca, sometimes with a prominent intermediate layer between the testa and tegmen. The tegmen is always easilyvisible with the cell having remarkable bar-thickened walls.
Carpology of the Phytolaccaceae cohort with predominantly one-seeded groups. Currently this large family is considered to be polyphyletic. It is actively beingre-evaluated and has been placed in several different positions in the trees of the core Caryophyllales [2], [3], [6], [166][167][168]. The placements of some members are unstable, e.g. Monococcus [168], but some cohort members (e.g., Rivinaceae and Petiveriaceae) seem to be closely related based on molecular results [5] and share a similar wood anatomy [169].
Lophiocarpaceae. Both genera Lophiocarpus (*12 spp., South Africa) and Corbichonia (2 spp. in South and Eastern Africa, one of them, C. decumbens, has radiated into the Arabian floristic province) together form a separate lineage that should be excluded from Phytolaccaceae s.str. and Molluginaceae [3]. They were later united in their own family Lophiocarpaceae [170]. They are, however, not closely related to each other embryologically [171][172][173]orin flower morphology [42], [172], fruit type (many-seeded capsule in Corbichonia vs. one-seeded indehiscent fruit in Lophiocarpus), seed-coat testa that can be alveolate in Lophiocarpus or with short papilla-like outgrowths in Corbichonia [174], or the presence of a seed aril (only Corbichonia). We provide additional differences in the fine carpology of both genera (Table 3; Fig. 8A-C). Due to important differencesin the reproductive characters, the placement of Corbichonia into Lophiocarpaceae needs further investigations.
Rivinoideae clade (Rivina, Trichostigma, Hilleria, Petiveria, Gallesia and Seguieria are investigated here). Carpologically, the representatives are clearly split into two groups. The first comprises Rivina, Trichostigma, and Hilleria with more or less fleshy fruits, a homocellular pericarp and a hard seed-coat testa (Rivinaceae s.str.), sometimes with acicular outgrowths of the testa cells (some Rivina : Fig. 8D). The second group (Fig. 8E-F) unites the representatives with dry fruits anda pericarp differentiatedinto several topographic zones (outer epiderm, underlying parenchymatous layers, thick sclerenchymatous sheath, inner parenchyma of one to three cell layers), and a thin seed coat with no importantdifferences in the thickness of the layers (Petiveria, Seguieria, Gallesia). However, Petiveria (Petiveriaceae s.str.) and both Seguieria and Gallesia (Seguieriaceae s.str.) disagree in several main characters. The fruits of Petiveria terminate in (mostly) four reflexed aristae that probably facilitate epizoochoric dispersal. Both members of Seguieriaceae are characterized by the flattened wing-like stylodium of the fruit that enables anemochorous dissemination. The perisperm is easilyvisible only in Petiveria, and is almost absent in both Seguieria and Gallesia. The embryo is straight with plicate cotyledons (Petiveria), or annular in the Seguieriaceae.
Stegnospermataceae. A monotypic family of several shrubby species distributed in the Tropics of the New World. In contrast to Phytolaccaceae s.str., some characters are distinctive, for example, a diffuse axial parenchyma in the stem [175], sieve-element plastids [122], flower morphology [176], embryology [177], a two-loculed capsule as fruit type with 1-2 seeds in each locule, and the presence of a seed aril [21]. The valves of the capsule in Stegnosperma cubense are leathery, from 300 to 600 μm, with subdivisions into three topographic zones: (1) one-layered, radially elongated, sclerenchymatous parenchyma, (2) several-layered, thin-walled parenchymatous cells, and (3) four to eight layers of tangentially elongated fibers. The seeds are typical for the core Caryophyllales in having a large testa (100 μm) with an easily visible cell content and a thin striate tegmen layers with bar-thickening of the radial walls. Both molecular and carpological data suggest that Stegnospermataceae cannot be considered as a family with primitive individual characters within core Caryophyllales as proposed by Hofmann [178].

Bar-thickening of the endotegmen cells-one additional parameter in the description of the core Caryophyllales
From the nine characters that unite many of the core Caryophyllales, three traits belong to the seed structure (curved ovules, seed coat composed of exotesta and endotegmen, and well developed perisperm [23]). Another character that can be added to the existing description of this group is the presence of bar-thickening in the tegmen cell walls. The first comprehensive data about this peculiarity were provided by Kowal [179], [180] for Chenopodium, Atriplex (Chenopodiaceae), and Amaranthus (Amaranthaceae). Indeed, many members of the Chenopodiaceae-Amaranthaceae alliance are found to have bar-thickened tegmen (S2 Table): Chenopodiaceae-Chenopodioideae (Chenopodiums.str., Atriplex, Lipandra, Oxybasis, Blitum), Chenopodiaceae-Suaedoideae (Suaeda) and many genera of Amaranthaceae s.str. of different taxonomic position. Besides Chenopodiaceae and Amaranthaceae, this feature was also discovered in the present study in the tegmen cell walls of Achatocarpaceae, Rivinaceae s.str. (Fig. 9), Stegnospermataceae, Seguieriaceae, Petiveriaceae, Microteaceae, Lophiocarpaceae, Macarthuriaceae, gen. Adenogramma, only a part of Nyctaginaceae and Caryophyllaceae. The Rhabdodendraceae is set apart from all the members of the alliance by having all (three to four) seed coat layers with bar-thickened walls. Amongmany-seeded fruits, such endotegmen cell walls are reported in the seeds of Aizoaceae, including Tetragoniaceae, Molluginaceae, Portulacaceae, Didiereaceae, Basellaceae, Cactaceae [23], and Anacampserotaceae [181] and were found in the present study in Macarthuria sp. (Macarthuriaceae), Gisekia pharnaceoides (Gisekiaceae) and Limeum obovatum (Limeaceae). Does the origin of one-seeded fruits based on molecular phylogeny coincide with the embryological data?
The discussion about the origin of the one-seeded nuts from many-seeded capsules is wellknown but only in the Phytolaccaceae s.l. and Caryophyllaceae. In previous investigations, Phytolacaceae was considered in a broader sense to include the one-seeded Rivinaceae, Seguieriaceae and Petiveriaceae, and it was suggested that the origin of the one-seeded fruits in Phytolaccaceae s.l. was connected with a reduction of the carpels [182][183][184][185][186]. According to the One-Seeded Fruits in the Core Caryophyllales molecular phylogeny, the origin of the one-seeded fruits in Rivinaceae and its relatives cannot be directly assigned on the basis ofPhytolaccaceae s.str., but we conclude that the multi-seeded fruit type is an ancestral state in the Phytolaccaceae s.str. clade and relatives, and that it has been converted into the one-seeded state in the clades Agdestiaceae + Sarcobataceae / Nyctaginaceae + Seguieriaceae + Rivinaceae + Petiveriaceae. This conclusion supportsthe results of other investigations [14], [187]. Recent statement concerning the ancestral characters of one-seeded fruits in Caryophyllaceae + Corrigiolaceae [43] are still contradicted by embryological data that mostly suggest the derivation of the one-seeded fruits from syncarpous capsules [40], [188], [189], with reduction of the central fruit column bearing the seeds with their placentas and septa. In the light of the molecular phylogeny, the increase of seed number in the fruit might be connected with the following basic transitions: (1) one basal ovule in the fruit as an ancestral character state (as in Corrigiola); (2) an increase in ovule numbers with maintenance of free funiculi. This is a common trend traced in many groups including Telephium (Corrigiolaceae) to several higher clades of Caryophyllaceae s.str. (Sperguleae, Sagineae, Arenarieae, Alsineae, a part of Polycarpaeae and Sclerantheae); (3) emergence of the central fruit column formed from the concrescent lower parts of the funiculi that can be extended to the fruit apex in the clades Caryophylleae and Sileneae. In these possible changes in fruit structure, only the evolutionary emergence of the septa between the central column and fruit margins whose fusion is postgenital [190] remains unclear and should be clarified by further detailed investigations. Thus the syncarpy-to-lysicarpy paradigm in the family needs to be reinterpreted with respect to most of the family.

Reconstruction of the carpological characters
For the reconstructions of the seed and fruit ancestral states we have chosen the most important characters concerned with the changes in the fruit and seed structure. All (one-, manyseeded, or associated) fruit types have been taken into account.
Pericarp succulence (Fig. 10). All the major clades, including the Polygonids, possess a dry pericarp. Fleshy and (often) coloured pericarp fruits originatedindependently in the AAC clade (Achatocarpaceae), some representatives of Amaranthaceae (Bosea, Pleuropetalum and Deeringia) and Chenopodiaceae (Anabasis). The mixed pericarp resulting from heterocarpy within one individual originated at least twice in Chenopodiaceae-Holmbergia tweedi and Chenopodiumnutans and relatives (Chenopodium sect. Rhagodia and Einadia), and is connected with changes in the consistency of dry fruit types. In the 'Globular Inclusion' clade, fleshy fruits have originated several times at least in Phytollacaceae (Ercilla, Phytollaca), Rivinaceae (Hilleria, Rivina, Trichostigma), and also in the large family Cactaceae. There are no reversions to the dry fruit types.
Pericarp layers (Fig. 11). Pericarps consisting of more than three layers are the ancestral character state in almost all the clades, and all deepest groups in the core Caryophyllales (Simmondsiaceae, Physenaceae, Asteropeaceae, Microteaceae), as well as the majority of the Caryophyllaceae, and the Amaranthaceae s.str. are characterized by a multi-layered pericarp. The simplification of the pericarpto one to three layers evolved independently in both theAAC +CC and the 'Globular Inclusion' clades. In the latter clade, this trend is anchored in the large family Nyctaginaceae (the clades after Bougainvillea: Neea, Guapira, Allionia, Mirabilis). Reduction of the number oflayers is also traced in Amaranthaceae (Polycnemoideae) and Herniaria (Caryophyllaceae). In Chenopodiaceae, the multi-layered pericarp is the ancestral state in Salsoloideae, including Camphorosmeae (Anabasis, Bassia), Betoideae and Corispermoideae. However, a reduction in numberof pericarp layers evolved independently in Suaedoideae + Salicornioideae and almost all Chenopodioideae, with further reversion to an increase in the pericarp layers in Chenopodium sect. Rhagodia, genera Holmbergia and Manochlamys.
Pericarp topography (Fig. 12). The reconstruction of the pericarp topology suggests that the ancestral state for the core Caryophyllales + polygonids, as well as for 'Earlier Diverging' lineages, both theAAC+CC clade and the 'Globular Inclusion' clade, is a pericarp divided into two zones: sclerenchyma as outer layers with thin-walled parenchyma below. Such a fruit-wall arrangement exists in the Physenaceae and Asteropeiaceae (as well as in some polygonids) and it is typical in Corrigiolaceae and many members of Caryophyllaceae. However, Rhabdodendraceae and Simmondsiaceae evolved the distinct pericarp topography that is typical for drupes (Rhabdodendron) or similar to other deepest Caryophyllales but with complicated structure (Simmondsia).
In the AAC+CC clade, the pericarp topography has radically changedfrom an initial sclerenchymatous-parenchymatous pericarp into two different types. The least frequent change is to parenchyma as the outermost layer(s) with sclerenchyma beneath, and is traced in Scleranthus (Caryophyllaceae-Sclerantheae). Simplification of the fruit-wall structure to one or several homocellular layers occurred independently in several clades; it is especially common in some Paronychieae and Polycarpaeae, and is found as rare exceptions in Plurcaryophyllaceae (e.g. Stellaria monosperma). The conversion of the pericarp topography into several different zones evolved in the AAC clade, with further changes in pericarp structure expressed in its simplification in Suaedoideae + Salicornioideae, and conversion to parenchyma as the outermost layers with sclerenchyma below in Betoideae + Corispermoideae. The ancestral character state in subfamily Chenopodioideae might be characterized by both homocellular and parenchymatous-sclerenchymatous pericarp, but many lineages of Chenopodioideae (Chenopodieae and a part of Axyrideae: Krascheninnikovia + Ceratocarpus) have independently evolved the homocellular pericarp. In the 'Globular Inclusion' clade, the ancestral pericarp zonation remains in many groups in the"Portulaceous alliance" (Didieriaceae, Talinaceae, Portulacaceae), while the members of the 'Raphide clade' evolved a complicated (Petiveria, Sarcobatus, Gallesia and Seguieria) or simplified (Nyctaginaceae, Phytolaccaceae s.str., Rivinaceae) pericarp structure. In some families with many-seeded fruits (Cactaceae, Aizoaceae), the pericarp topography has not yet been studied.
Embryo orientation (Fig. 13). The vertical embryo position in the one-seeded fruits is an ancestral character state in all the large clades of the core Caryophyllales. Such a position was also retained when the multi-seeded fruit types (first originated from one-seeded fruit types) were decreased to single-seeded nuts in 'Globular Inclusion' clade and Caryophyllaceae. The changeto the horizontal position occurred independently in some Chenopodiaceae (Salsoloideae, Betoideae, Chenopodioideae), with laterreversion to the vertical positionin Grayia, Manochlamis, Holmbergia, Archiatriplex, Atriplex, Microgynoecium, and Suckleya (all Chenopodioideae). The mixed-embryo statewithin a single individualplantmay have originated in two ways: from a horizontal position in some Dysphania, and from a vertical position in Atriplex and Blitum.

Conclusions
The one-seeded fruits in the core Caryophyllales are inferred to be an ancestral character state in the 'Earlier Diverging' lineages (Rhabdodendraceae, Simmondsiaceae, Asteropeiaceae, Physenaceae) and AAC+CC clade. The origin of the one-seeded fruits is a reversion from multiseeded fruits in the 'Globular Inclusion' clade. The dry and multi-layered pericarp, topographically divided into sclerenchyma as outermost layer(s) and parenchyma below, is an initial state in the core Caryophyllales, with a tendency to reduction in the number of layers in many clades, especially in large families such as Nyctaginaceae and Chenopodiaceae. The wing-like outgrowths of the pericarp that enable anemochory are rare and known only in Sarcobataceae, Seguieriaceae and some representatives of the Chenopodiaceae (subfam. Corispermoideae). MP reconstruction of the evolutionary history of pericarp topography of combined plastid dataset. Character states: 0-no drastic differences in the consistency of all layers (cells parenchymatous, non-lignified or rarely sclerenchymatous), or only one layer is present; 1-differentiated into parenchyma as outermost layer(s) and sclerenchyma beneath (at least in some fruits, if heterocarpic); 2-differentiated into sclerenchyma (or sclerenchymatous parenchyma) as outermost layer(s) and thin-walled parenchyma; 3-differentiated into: (a) outer parenchymatous epidermis; (b)-thinwalled parenchyma (but sometimes reduced); (c)-sclerenchyma present as O-shaped cells (with equally thickened walls) or U-shaped cells (unequally thickened walls) that often contain crystals in the protoplast; (d)-inner epidermis (sometimes obliterated); 4-differentiated into: (a) outer sclereid layers; (b) thin-walled parenchyma intermixed with brachysclereids; (c) crumpled parenchyma; (d) inner epidermis; 5-differentiated into: (a) 1 or several layers with thick walls; (b) thin-walled parenchyma; (c) brachysclereids with walls filled with tannins (fruit is a typical drupe); 6-divided into (a) thick outer epidermis, (b) thin-walled parenchyma, and (c) thick inner epidermis; 7-divided into (a) parenchyma as outermost layer(s), b-sclerenchymatous layer(s), c-parenchyma layer(s); 8-divided into (a) sclerenchymatous parenchyma, (b) thin-walled parenchyma, (c) multilayered fibers. The position 9 (see text) is not shown on the tree due to lacking of the samplings of both Anredera brachystachya and A. scandens. Morphological characters treated as unordered. Ambiguities recoded as polymorphic states. Fleshy and coloured fruits evolved several times from dry fruits. The families Rhabdodendraceae, Simmondsiaceae, Physenaceae and Asteropeiaceae are set apart from the other core Caryophyllales in having a thick multilayered fruit wall that is divided into several topographic zones, as well as a distinct seed coat structure. These families also share carpological characters such as massive fruits and a lack of nutritive tissue (perisperm and endosperm) in the ripe seed. The first lineage in the core Caryophyllales with typical "centrospermous" fruit and seedcoat structure is (depending on the topology of the molecular trees) either the American Microteaceae or the Australian Macarthuriaceae. The U-shaped cells with fine-grain crystalliferous content in the pericarp above the inner epidermis are mostly known in the Achatocarpaceae, Amaranthaceae, and Chenopodiaceae (AAC clade). The hard seed-coat testa appears to be typical of the majority of the core Caryophyllales. The bar-thickening of the endotegmen layer can be added as a basic character for many core Caryophyllales. All the members with one-seeded fruits arranged their embryos vertically, and many Chenopodiaceae representatives of different taxonomic position evolved a horizontally oriented embryo as a synapomorphy.
Unique, taxonomically important carpological characters justifying family rank have been proposed for Achatocarpaceae (polystarch grains in the seeds) and Sarcobataceae (general pericarp structure), and also for Seguieriaceae and Petiveriaceae (pericarp structure), the latter previously being considered part of Phytolaccaceae. The presence of raphides in the pericarp and seed coats, which is hardly noticeable in the one-layered pericarp, and the seed perisperm that is divided into two parts, are the carpological peculiarities of the Nyctaginaceae. The majority of the small families (Lophiocarpaceae, Microteaceae, Rivinaceae) do not show relevant differences in their pericarp and seed coat structure, although some Rivina species are distinguished by acicular outgrowths of the seed-coat testa.
Supporting Information S1 Appendix. Origin of the material used in the carpological investigation in the present article.
(DOC) S1 Table. List of taxa with GenBank-EMBL accession numbers used in the analyses. (DOC) S2 Table. Diversity of the carpological characters in one-seeded fruits. Abbreviation: n/acharacter not applicable (characters 4, 6 and 24 in many-seeded fruits). For more, see text. (XLSX)