The geographic, environmental and phylogenetic evolution of the Alveolinoidea from the Cretaceous to the present day

The superfamily Alveolinoidea is a member of the Order Miliolida, and comprises three main families, the Alveolinidae, the Fabulariidae and the Rhapydioninidae. They are examples of Larger benthic foraminifera (LBF), which are single-celled organisms with specific characteristic endoskeletons. Alveolinoids are found globally from the Cretaceous to the present day, and are important biostratigraphic index fossils in shallow-marine carbonates. They are often associated with hydrocarbon reservoirs, and exhibit provincialism with characteristic genera often confined to one of the American, Tethyan or Indo-Pacific provinces. Previously, the systematic study of the global interrelationship between the various alveolinoid lineages has not been possible because of the absence of biostratigraphic correlation between the geographically scattered assemblages, and the scarcity of described material from the Indo-Pacific province. Here we use the literature and new material from the Americas, the French Alps, Iran, Tibet, India and South East Asia, coupled with the use of the planktonic foraminiferal zonal (PZ) correlation scheme to propose a comprehensive, global, systematic analysis of the biostratigraphic, phylogenetic and paleogeographic evolution of the alveolinoids. The alveolinoids originated in the Cretaceous in the Tethyan province. During a global sea-level low stand, a westward migration of some alveolinoids species to the Americas occurred, a behaviour previously reported in contemporaneous orbitolinid LBF. After the Cretaceous/Palaeogene (K–P) event, which saw the extinction of all Cretaceous alveolinoids, rare new forms of alveolinoids evolved again, first in the Americas and later independently in Tethys. As was found in previous studies of rotalid LBF, sea-level low stands in the Paleocene also allowed some alveolinoid forms to migrate, but this time in an eastward direction from the Americas to Tethys, and from Tethys on to the Indo-Pacific province. Alveolinoids still exist today (Borelis and Alveolinella), the former of which is cosmopolitan, while the latter is restricted to the Indo-Pacific province. Throughout their phylogenetic history, alveolinoids characteristically exhibit convergent evolution, with the repeated re-occurrence of certain morphological features. Understanding this propensity to homoplasy is essential in understanding and constructing the phylogenetic relationships within the alveolinoid superfamily.


Introduction
Larger benthic foraminifera (LBF) are single-celled organisms, with an internal, characteristic test, that have acted as major reef-forming organisms from the Paleozoic to the present day (see [1]). Within the geological record, there are 14 taxonomically defined orders of LBF. They are widely used as key biostratigraphic and palaeoenvironmental indicators. Although they were generally limited to warmer, shallower marine environments, their fossil forms are globally distributed, but frequently exhibit provincialism at the family or generic level.
Our previous work has established that global marine regressions correlate with the migration of some LBF genera from one province to another. The inter-provincial migration of a genus is characterised and defined by the contemporaneous occurrence of the same species (although they may have been given different names, which are therefore synonyms) in two previously isolated provinces. in the Cretaceous, for example, we inferred that, during a global sea-level low stand, some orbitolinids (agglutinated foraminifera, members of the Order Textulariida) underwent a westward trans-oceanic migration from their Tethyan province of origin to the American province (see [2]). Although subsequently the Tethyan province remained the hotspot for orbitolinid speciation, parallel lineages evolved in the again isolated American province, but were extremely rare. Later in the Cenozoic, the American province became the hot spot for speciation of other LBF families (including members of the Order Rotaliida, studied previously by BouDagher-Fadel and Price [3][4][5][6]). Again during global sea-level regressions, trans-Atlantic migrations occurred, but in these cases in an eastward direction into Tethys and then on to the indo-Pacific, and at times to southern Africa.
These previous studies, therefore, have led to the hypothesis that periodic, sea-level low stand enabled, inter-provincial migration is a characteristic global dispersal mechanism of many LBF families. As suggested by Pignatti [7] however, this hypothesis needs further testing. in this study, therefore, we investigate the phylogenetic evolution and palaeogeographic distribution of the main genera of the porcelaneous Alveolinoidea superfamily (members of the Order Miliolida), to establish whether they too exhibit an evolutionary and dispersal behaviour similar to the previously studied LBF groups.
The Alveolinoidea comprise three families, the Alveolinidae, the Fabulariidae and the Rhapydioninidae (see [1]). They range from the Cretaceous to the present day. Throughout their evolutionary lineages, the alveolinoids exhibited relatively rapid rates of evolution and developed complex tests, which make them an important biostratigraphic index fossil group for the shallowmarine environments of the later Mesozoic and the Cenozoic. Today, alveolinoid-bearing limestones occur globally from the Americas, through the Mediterranean and the Gulf, Tibet, and on to the indo-Pacific province. They are often associated with significant hydrocarbon reservoirs. The study of the Alveolinoidea and the definition of their stratigraphic ranges has been the subject of many regional micropaleontological investigations, especially those of the Tethyan and American provinces [1,[8][9][10][11][12][13][14][15][16][17][18][19][20][21][22], but the most recent revisions of Alveolina from indonesia are by Bakx [23]. Until now, however, it has not been possible to develop an effective global view of their evolution and inter-relationships, because the systematic study of the links between the American, Tethys and indo-Pacific lineages has been hampered by the lack of biostratigraphic correlation between the geographically scattered alveolinoid assemblages described in the literature, and by the scarcity of described material from the indo-Pacific province.
in this paper, we revise some of the analysis presented in BouDagher-Fadel [1], and present results from material recently obtained as a result of various investigations of LBF-bearing carbonate facies from two Atlantic basins, one from offshore Brazil (the Campos Basin), and the other off The alveolinoids originated in the Cretaceous in the Tethyan province. We conclude here for the first time that during a global sea-level low stand, migration of some alveolinoid species to the Americas occurred. As this province again became isolated as sea levels rose, parallel evolutionary trends between related forms of alveolinoids in the two re-isolated provinces subsequently occurred. After the end-Maastrichtian mass extinction, rare new forms of alveolinoids reappeared first in the Americas. Previous studies also suggested that the Americas were the region of the post-K-P appearance of the rotaliid LBF. As also previously inferred from our studies of a number of rotaliid LBFs, sea-level low stands in the Paleocene allowed some alveolinoid forms to migrate from the Americas to Tethys, where again later sea-level rises led to provincial isolation and parallel provincial evolutionary trends. As also occurred for the previously studied rotaliids, the alveolinoids flourished in Tethys and subsequently migrated from Tethys to the indo-Pacific province, where they further diversified. With the closure of the Tethys seaway in the Miocene (late Burdigalian), the Mediterranean alveolinoids became isolated from their indo-Pacific descendants and exhibited parallel evolutionary trends with more evolved, different lineages in the indo-Pacific province showing morphological convergent trends similar to previous Cretaceous stock. Alveolinoids still exist today (Borelis and Alveolinella), the former of which is cosmopolitan, while the latter is restricted to the indo-Pacific province.
The Alveolinoidea throughout their phylogenetic history evolved morphologically divergent features, giving rise to identifiably distinct genera. As in previous biogeographical studies, however, we also confirm spatial and temporal gaps in their phylogenetic/stratigraphic distributions [29][30][31][32]. We find that these gaps are best explained by homoplasy, in which convergent and characteristic features reappear as a result of either similar ecological evolutionary selection pressures, or a genetic predisposition to the repetition of specific mutations that produce morphological characteristics that are used to define a genus.

Morphological and paleoenvironmental characteristics of the Alveolinoidea
The Alveolinoidea made their first appearance in the Early Cretaceous (Fig. 3) exhibiting a fusiform morphology. As is characteristic of miliolids, they have a porcelaneous, imperforate wall structure, UCL  The geographic, environmental and phylogenetic evolution of the Alveolinoidea with fine, randomly oriented crystals of high-magnesium calcite. Their tests are enrolled along an elongate axis, being initially planispiral or streptospiral, or 'miliolid', with chambers added in varying planes (Fig. 4). in an extreme example of ecologically driven convergent evolution involving forms from different orders, the external appearance of alveolinoids closely resembles the planispiral, fusiform fusulinides of the late Paleozoic. This example of homoplasy is the result of ecological selection pressures acting on forms from different orders filling equivalent niches but in different stratigraphic periods. Many alveolinoids attained the same centrimetric scale as the fusulinides, but differ fundamentally in their imperforate, porcelaneous wall structure, and are indeed very distinct when studied in axial and equatorial (median) sections (see [1]). The basic morphology of the alveolinoids is shown in Figs 4-7. Unlike the fusulinides, septal folding does not occur and the spiral septula reach the floor across the chamber. Deposition of secondary calcite (flosculinisation, Figs 4-6) occurs more evenly across the floor of the chamber or may be restricted to a specific period of ontogenesis, rather than being almost entirely concentrated in the axial zone as in the    The geographic, environmental and phylogenetic evolution of the Alveolinoidea fusulinides. The embryonic apparatus consists of a spherical proloculus followed by a spiral tube (flexostyle), succeeded in some genera by a miliolid nepion (pre-adult stage). in the adult, numerous chambers are planispirally coiled around an elongate axis, each chamber being broken into tubular chamberlets by secondary septa (septula) that run in the direction of coiling. Connectivity between the chambers is enabled through the vertical septula (canals/passages). These may be situated in front of the septum (post-septal) or behind it (pre-septal) (see [1]).
in the Cenozoic, the alveolinoids re-appeared in the Paleocene seemingly independently from their Cretaceous relatives (Fig. 8), but evolving from a common simple, long-ranging miliolid ancestor, in an example of homoplasy driven by a predisposition towards the occurrence of a repeated set of mutations that produce generic characteristics. The Paleocene forms share morphological characteristics with their Cretaceous relatives, and evolved separate parallel lineages in both the Tethyan province and the American province. As will be discussed in detail below, this repeated evolution from a simple miliolid common ancestor, such as Pseudonummuloculina caused homoplasic generic characteristics, such as alveoles, to reappear on numerous occasions in the Paleogene and in the Neogene.
in the Middle Eocene, alveolinoids reached morphologically large sizes (e.g. Alveolina prorrecta hottinger) growing up to 3.5 cm in the diameter of the axial section [8]. Their sizes were made achievable as a result of the evolutionary development of a variety of morphological structures that had the effect of mechanically strengthening the alveolinoid test, such as by the thickened basal layer (which is subdivided by pillars or secondary partitions in the Fabulariidae), the canaliculation and thickening of the central zone except for a pre-septal space with buttresses or residual pillars (as in the Rhapydioninidae), and the flosculinisation with thick deposition of secondary calcite (as in the Alveolinidae [1]). The basal layer of the larger foraminiferal test, when thickened by flosculinisation [8] or perforated by canalicular passages [33], exists only in the porcelaneous forms (Figs 5-7).
The development of alveoles (blind recesses separated by septula; e.g. see Fig. 6) in some alveolinoids may have allowed them to harbour photosymbionts (e.g. diatom symbionts in living Alveolinella Douvillé [34], see Fig. 9). Endosymbiosis apparently played a major role in the evolution and diversification of the alveolinoids, and appears to be a key innovation that facilitated a change in habitat from an epifaunal, free-living mode of life, to one of living attached to phytal and nonphytal substrata.
On the other hand, the development of pillars in the fabulariids (see Fig. 7) and rhapydioninids may also be seen as providing mechanical strength to the test. For example, in discoidal forms, heavily pillared endoskeletons, as a rule, occur in forms living in very shallow, turbulent water. in the present day, robust and fusiform tests (as seen in Alveolinella) are adapted to a life in environments The geographic, environmental and phylogenetic evolution of the Alveolinoidea of moderate hydrodynamic energy, characteristic of water depths of less than 30 m, usually not in mobile sands, but rather on phytal or hard substrates such as reef rubble [1,35]. At Lizard island, Australia, sand patches at ∼15-20 m seemed to be the best habitat to collect Alveolinella (hallock, personal comment). According to hottinger [36], in Alveolina the function of the elongated fusiform test is related to motility, the test growing in the equatorial direction but moving in the polar direction. The living alveolinids (such as the elongate Alveolinella) appear to be confined to shallow-marine (down to depths of 80 m), clear, well-oxygenated, tropical and subtropical waters. They can hide or shelter under shallow layers of coral sand, in order to regulate the illumination       Basal layers and flosculinisation in Alveolina (modified from [8] and [1]). that they require. Therefore, in comparing the occurrences of the extinct alveolinids with their holocene descendants, we can safely deduce that these fusiform types, with large alveoles, thrived in sediments deposited in warm, shallow water. in fact, all alveolinoids are regarded as neritic (inner shelf) by Reichel [37], restricted to littoral, tropical, protected shelf and reef shoals [1,30,38], or moderate energy zones of the shallow ramp [39], and some genera are epiphytic [40].
Phylogeny and palaeogeographic distribution of the Alveolinoidea in this section, we will review the phylogenetic development and taxonomic relationships of the alveolinoids of the Cretaceous, Paleogene and Neogene. Furthermore, we clarify their provincial distributions, based around the Tethyan, American and indo-Pacific provinces.      The geographic, environmental and phylogenetic evolution of the Alveolinoidea We discuss the development of the three alveolinoid families, the Alveolinidae, the Fabulariidae and the Rhapydioninidae, which in the Cretaceous occurred in the Tethyan and American provinces, and then the later Cenozoic forms, of which the Alveolinidae and the Fabulariidae occurred in all three provinces (Tethys, American and the indo-Pacific), while the Rhapydioninidae were constrained to the Americas.

Figure 8
Ranges of the main genera of the Paleogene Alveolinoidea in the three provinces.    The geographic, environmental and phylogenetic evolution of the Alveolinoidea The Cretaceous Alveolinoidea

The Tethyan Province
The limestones of the Tethyan province range from what is today the Western Mediterranean, through the Middle East to the carbonate platforms of Tibet. This province saw the first development of the alveolinoids from small simple miliolids, such as Pseudonummuloculina (see Fig. 3). This latter is a simple small streptospiral-involute porcelaneous form, with an apertural slit or with a row of multiple apertures. it made its first appearance in the latest hauterivian (PZ hauterivian 2 [1,41]). it was widely distributed in the Tethyan province from the Albian until the early Paleogene [32,[42][43][44][45][46][47], and is the ancestral form for many of the Alveolinoidea.
Archaealveolina (Plate 1, a) is the earliest defined Alveolinidae. it is subglobular with an early streptospiral stage, pre-septal passages and a single row of apertures at the base of the apertural face. This genus first appeared at the beginning of the Aptian and disappeared at the end of PZ Albian 1 [44]. Archaealveolina gave rise to and was replaced in the Albian by Ovalveolina (Plate 1, b-c), a globular form with planispiral coiling and large pre-septal passages [1]. Ovalveolina is recorded from many Tethyan localities ranging from PZ Albian 1 to PZ Cenomanian 3, but as discussed below, is not found in the American province until the beginning of PZ Cenomanian 2.
in PZ Albian 4, the planispiral Ovalveolina gave rise to subglobular/fusiform Praealveolina (Plate 1, e-f) with much lower and narrower chamberlets. The apertural face of Praealveolina has, as does Ovalveolina, a single row of pores near the equator, however, the pores increase poleward to many rows of openings. Simplalveolina (Plate 1, g-j) which also appeared at PZ Cenomanian 1, is small and ovoid with numerous aligned septula, but lacks secondary chamberlets. The aperture is a single row of pores in the apertural face. in PZ Cenomanian 1, Praealveolina gave rise to the spherical Multispirina (Plate 2, a), with large, numerous chambers, interleaved by spires [37]. The aperture is formed by a row of pores in the apertural face of each of the multiple spires. The growth of Multispirina is an example of an alternative to elongate growth, where the multiple spires are a means of accelerating its growth [49]. The multiple spires also enhance the internal interconnectedness of the pore spaces, as the numerous small apertures along the sutures connect the whorls in an irregular manner, thus making for short radial lines of interconnectedness throughout the test [33].
Parallel to the Praealveolina lineage, Ovalveolina also gave rise to the small to medium size globular, streptospirally coiled Streptalveolina (Plate 2, b; PZ Albian 4-Cenomanian 2). The latter also has large pre-septal passages and a single row of apertures on the apertural face. The trend in this lineage is to evolve planispiral later whorls, as in Cisalveolina (Plate 2, c-f; PZ Cenomanian 1-3), which has alternating septula with a simple narrow, slit-like aperture extending from pole to pole. Cisalveolina, unlike all the Cretaceous genera with pre-septal canals, has post-septal passages.
Of the early alveolinids, 85% did not survive the widespread oceanic anoxic event (OAE) at the Cenomanian-Turonian boundary (93.9 Ma), which may in turn have been triggered by the Madagascar and Caribbean volcanic provinces events (Fig. 10). The only survivor was Praealveolina, which in turn went extinct at the end of the Turonian.
The alveolinids re-appeared in the Late Cretaceous of the Tethyan province, but notably those that did appear had a streptospiral early stage and a planispiral-involute adult stage. it has been proposed that they are again phylogenetically linked to Pseudonummuloculina (Plate 2, g), and are an example of the homoplasic, re-appearance of morphologically identical form from a long ranging, robust small-form common ancestor [1,15]. They include the spherical Helenalveolina (Plate 2, i; PZ Coniacian 2-santonian 2), Subalveolina (PZ santonian 2-Maastrichian 3), and the axially elongated Senalveolina in the early Campanian. Helenalveolina is distinguished from the Fabulariidae by the absence of pillars subdividing the chambers, by its streptospiral coiling, and by the lack of a trematophore in its apertural face.
The earliest Rhapydioninidae originated in Tethys at the end of the Albian. The axially compressed rhapydioninids have homologous features to the alveolinids, and occupied similar niches, but developed separate parallel lineages. They evolved, as did the alveolinids, from the streptospiral Pseudonummuloculina, but did so later than the first appearance of the alveolinids [1,15,46,50]. They had a planispiral to streptospiral early stage, but diverged from the alveolinids lineages by becoming uncoiled, compressed, peneropliform-flaring, or cylindrical in later stages. The basal layer of the rhapydioninids is pierced by tubular supplementary passages as part of the 'central thickening' [51]. The rhapydioninid are comparable to modern peneroplid foraminifera, which The geographic, environmental and phylogenetic evolution of the Alveolinoidea commonly are found in shallow-water epifaunal habitats or on epiphytal hard substrates, including seagrasses and algal thalli [52][53][54][55].
Sellialveolina (Plate 3, a-b), was the most primitive rhapydioninid and occurred across Tethys between PZ Albian 4-Cenomanian 4 [17,56]), colonising the carbonate platforms from the Middle East to the iberian Peninsula. Unusually, it is a cosmopolitan rhapydioninid, and is reported from the American province from PZ Cenomanian 2-Turonian 2 (n.b. in the Maastrichtian, Rhapydionina becomes the only other example of a cosmopolitan rhapydioninid). Sellialveolina has a lenticular, planispirally-enrolled test, where the chamber lumen is subdivided into numerous chamberlets by septula. Sellialveolina species increased in overall test size and complexity of internal structures during their stratigraphic evolution.  [51,[57][58][59][60][61][62]. This lineage exhibits an evolutionary trend with an increasing diameter of the megalospheric form, a reduction in the streptospiral nepionic stage, and an increase in the differentiation and regularity of the peripheral chamberlets in comparison with the median chamberlets in the same chamber [50].
Sellialveolina and Pseudedomia both resemble Ovalveolina in their globular initial part, but develop compressed, curved chambers in their final whorls. The chambers in Pseudedomia become progressively longer, strongly overlapping the preceding chambers. The evolutionary lineage from Pseudedomia showed progressive uncoiling and cylindrical development through Rhapydionina, The geographic, environmental and phylogenetic evolution of the Alveolinoidea Murciella (Plate 3, c) and Cyclopseudedomia (see Fig. 7). The 'central thickening' of Rhapydionina compares with the thickened basal layer in the polar area of Subalveolina [64]. Murciella has crosswise, oblique, median tubular chamberlets (the 'helicoidal' structures of Fleury [65]), while Cyclopseudedomia is cyclical with compressed arched chambers in its final whorls.
We believe that the Tethyan Murciella has sometimes been misidentified as a Raadshoovenia, which in fact is an American Paleocene form (see below). For example, the Late Cretaceous Tethyan Raadshoovenia [e.g. R. salentina (Papetti and Tedeschi)] has the same advanced early planispiralinvolute nepiont as Murciella, and the two genera were considered synonyms by De Castro [57]. We agree with this analysis and contend that all Cretaceous, Tethyan Raadshoovenia are in fact synonyms of Murciella.
All Tethyan rhapydioninids, including Murciella, went extinct at the end of the Maastrichtian. The true Raadshoovenia appeared in the Paleogene of the American province. There are no records of Raadshoovenia from the Paleocene of the Tethyan province. Raadshoovenia has a streptospiral nepiont in both megalospheric and microspheric generations, and characteristically has a smaller test than Murciella. Murciella and Raadshoovenia evolved in different times on the two sides of the Atlantic. They are again an example of homoplasic evolution, rather than representing a single genus that survived the events at the Cretaceous-Paleogene boundary while simultaneously moving provinces.
The Fabulariidae are also common in similar ecological niches as the alveolinids, but they did not appear before the Late Cretaceous and were endemic to the Tethyan province, with no record from the Cretaceous deposits of the American province. They arose directly and independently from the alveolinids and the rhapydioninids, either from the simple Quinqueloculina group [66], or they had a true miliolid origin from, for example, the simple-form Idalina (see [1]). The fabulariid test is large, dimorphic, multi-chambered with miliolid coiling, tending to become reduced in subsequent growth stages, either to bilocular or to monolocular chamber cycles, with a trematophore as the aperture. According to hottinger ( [67], p. 4) 'A trematophore, or a sieve constituting the face of many porcelaneous larger foraminifera, is in miliolids produced by the coalescence of teeth, covering a large pre-septal space. it may be supported by residual pillars'. Chambers have a thickened basal layer, subdivided by pillars or secondary partitions. Foraminifera in the adult growth stages have a fixed apertural axis. For the terminology and the orientation of sections needed for detailed structural analysis see Drobne [68] and hottinger et al. [15].

Figure 10
The major tectonic, oceanic and climatic events in the Cretaceous affecting alveolinoids and orbitolinid migration, evolution and extinction.
in the basal layer. Correcting BouDagher-Fadel [1], we now believe that all Cretaceous fabulariids, except the small, primitive, robust Idalina, went extinct at the K-P boundary.

The American Province
The mid-Cretaceous Alveolinidae were extremely rare in the American province, and post-date the Tethyan forms. it is inferred that they migrated from the Tethyan province after their first appearance there. The pre-existing Tethyan Pseudonummuloculina appeared in the Americas together with some Tethyan orbitolinds (see [2]; Fig. 3) during the sea-level low stand of the Aptian-Albian boundary (migration 1 in Fig. 11), and is represented in both provinces by P. heimi (Bonet). This species is widely distributed in the Albian-Cenomanian of both Western Tethys and the Gulf Coast [74][75][76]. it has also been recorded from Texas, Florida and Louisiana in the United states [77]. The geographic, environmental and phylogenetic evolution of the Alveolinoidea The streptospiral alveolinids appeared in the American province, in PZ Albian 4b, and are represented by Streptalveolina mexicana Fourcade, Tardy and Vila [78]. This species initially described from the early Cenomanian, Mexican Aurora Formation, has also been recorded in some localities from PZ Albian 4 to Cenomanian 2 of the Gulf Coast [79,80]. it is endemic to the American province, but appears to be virtually identical to the PZ Albian 4a, Mediterranean species S. peybernesi [81], and seems to have appeared in America after the late Albian sea-level low stand (migration 2 in Fig. 11). Finally, the pre-existing Tethyan Ovalveolina maccagnoae De Castro is reported from the Americas from PZ Cenomanian 2 [82] from the mid-late Cenomanian deposits of the Manantlan Range in Colima state, Mexico, which again correlates with a global sea-level low stand (migration 3 in Fig. 11).
in the American province, the Rhapydioninidae are of two types, represented by the mid-Cretaceous Sellialveolina, and the distinct, later Cretaceous Chubbina, Chubbinella, Praechubbina, Caribalveolina lineage.
Sellialveolina is the most primitive genus of the axially compressed Alveolinoidea, and is the only genus of the Rhapydioninidae that is found in the mid-Cretaceous of the American province. it first appeared as a Tethyan form in PZ Albian 4, but it is reported in the Americas 3.4 Ma later (in PZ Cenomanian 2) as Sellialveolina sp. and Sellialveolina cf. drorimensis (a Tethyan form) from northern Peru [83]. This appearance in the Americans coincides with that of Ovalveolina, which as noted above correlates with a global PZ Cenomanian 2, sea-level low stand (migration 3 in Fig. 11).
The later American rhapydioninids forms have no Tethyan equivalents, and seem to have evolved directly from the American Pseudonummuloculina. They are described from several localities in southern Mexico, Guatemala and in the Caribbean [10,18,[84][85][86].
They appear in PZ Campanian 1, and rapidly develop the Chubbina (Plate 3, g-h) lineage, which is endemic to the American province. The most primitive genus of this lineage, Praechubbina, with a poorly developed endoskeleton, formed by short, incomplete septula and floors, is characterised by a single aperture in its early stages. it differs from the ancestor genus Pseudonummuloculina by the presence of endoskeletal elements and multiple apertures in adult stages of growth [18,84]. The septula in Chubbinella and Chubbina are complete, and divide the chambers into long tubular chamberlets. The septula of Chubbinella form chamberlets of equal calibre within the same chamber, while in Chubbina the chamberlets are unequal and the median chamberlets are parallel to the peripheral chamberlets. in Chubbina the subdivision of the chambers begins in the early stages of growth, whereas in Chubbinella the early parts are undivided [17]. On the other hand, the axially elongated Caribalveolina has alveoles and chubbinid features in the poles that are similar but less regular than the polar features of Praealveolina [50].
A Late Cretaceous migration of the rhapydioninids from the American province to Tethys never occurred. however, towards the middle Maastrichtian (PZ Maastrichtian 2), migration of the Tethyan (2) (3) (4)

Figure 11
Variation in sea level during the mid to Late Cretaceous based on Miller et al. [73]. The red diamonds represent the planktonic foraminiferal zones, while the numbers signify the main migration events of the alveolinids. UCL  The geographic, environmental and phylogenetic evolution of the Alveolinoidea form Rhapydionina to the American province did occur, with Rhapydionina cf. R. liburnica (stache) reported from PZ Maastrichtian 4 of south east Mexico [86]. The early Maastrichtian low sea-level stands (migration 4 in Fig. 11) correlate with the timing of this apparent trans-oceanic migration (Fig. 12).
All American rhapydioninids went extinct at the K-P boundary.

The Paleogene Alveolinoidea
No complex Alveolinoidea survived the Cretaceous/Palaeogene (K-P) extinction, however their ancestral small and simple miliolids were robust enough to continue (Fig. 8). in the Paleogene, these ancestral forms again gave rise to new members of all three of the Alveolinoidea families, which closely echoed their Cretaceous predecessors. The alveolinids of the Paleogene show a complex history of regeneration from the simple Pseudonummuloculina (which survived the end Cretaceous event and only went extinct in the late Thanetian, P4), with new forms occurring independently in both the Americas and Tethys. in the Eocene, migration of alveolinids again occurred, but as previously seen in our studies of the rotaliids, now in a west to east direction, with migration of forms from Tethys to the indo-Pacific.
in the Paleocene, the rhapydioninids also re-appeared from a small miliolid after the K-P extinction, but are only found in the Americas (Fig. 8). in Tethys the fabulariid ancestral form Idalina survived the Maastrichtian extinction, and gave rise to a second wave of Paleocene forms. They gave rise in the Middle Paleocene to a Periloculina lineage, which echoes the homomorphic Late Cretaceous lineage, but which is separated by a stratigraphic interval of over 6 Ma. in yet another example of homoplasy, Fabularia evolved in the Americas independently of the other Tethyan fabulariids, and migrated during an early Ypresian sea-level low stand to Tethys (Figs 13-15). All rhapydioninids and fabulariids went extinct before the end of the Paleogene, and only an alveolinid, Borelis, survived into the Neogene (Fig. 16).

The American Province
The alveolinids, except for a couple of primitive genera (not discussed in [1]), are rare in the Paleogene of the American province. A primitive small globular planispirally, coiled form, Quasiborelis hanzawa [e.g. Q. gunteri (Cole)] with streptospiral early chambers, was reported by hanzawa [87] from Florida (Fig. 8). it has a simple internal structure, consisting of a poorly developed endoskeleton divided by few septula and floors, and high pre-septal canals, and it must have evolved from a small miliolid that survived the K-P event. Quasiborelis was short ranged, but was followed directly by forms similar to the later Tethyan Borelis (see [19]). The American Borelis is subglobular in shape with only one row of chamberlets and a planispiral later stage, and has been reported from the Middle Paleocene to the Early Eocene (PZ P3-P9) of the American  The geographic, environmental and phylogenetic evolution of the Alveolinoidea province [18,19,[88][89][90]. The American Borelis occupies similar niches as the Tethyan Glomalveolina (Plate 3, i-j; [19]), which is abundant in the very low hydrodynamic energy back-reef environments of Tethys, but is absent from the American province. The American Borelis has aligned septula and pre-septal passages, but they are generally smaller in size than those of the Tethyan Borelis. American Borelis and Tethyan Borelis are probably examples of homoplasy, as they do not co-exist, and are in fact separated by 6.6 Ma in the geological column.
The Rhapydioninidae were common and mainly endemic to the Late Cretaceous low-latitude shallow-water reefal and lagoonal settings of the American province. All of them, however, went extinct at the end of the Cretaceous. The rhapydioninids of the Paleogene are also distinct from those described from the Cretaceous of the Tethyan province, and are only found in the American province. The genus Raadshoovenia (R. guatemalensis van den Bold) was originally established by

Figure 13
The major tectonic, oceanic and climatic events in the Neogene affecting alveolinoids migration, evolution and extinction. WPP, i-P = indo-Pacific; WT = Western Tethys; A-P = American province.

Figure 14
schematic migration of alveolinoids during Early Paleogene, shown by red arrows, from the American province to the Tethyan province. The geographic, environmental and phylogenetic evolution of the Alveolinoidea van den Bold [91] from the Eocene of Guatemala, however, as discussed above, it is different from the Raadshoovenia misidentified in the Tethys, which are in fact Murciella. As is also discussed above, the appearance of Raadshoovenia in the Paleocene-Eocene of the American province is therefore yet another example of homoplasy, where similar characters arose by convergent evolution. True Raadshoovenia has been reported from Mexico [92,93] and Guatemala [18,51,57]. There are no Paleocene records of Raadshoovenia from the Tethyan province.
The American Raadshoovenia gave rise to Neomurciella, which made its first appearance in the selandian of the American province (PZ P3a [18,94]). Neomurciella show a crosswise development of the central and marginal chamberlets, as was found in the Campanian-Maastrichtian Murciella gr. M. renzi Fleury (see [18,65,50]), but this reappearance is 4.4 Ma later than the disappearance of Murciella. Neomurciella survived the Paleocene-Eocene boundary only to disappear within the Early Eocene.
The American Fabulariidae are represented by members of the genus Fabularia. This genus evolved for the first time in the American province from the small, primitive form Miliola in the Early Eocene (Ypresian, PZ P5b) by developing an involute, biloculine last stage after the early quinqueloculine stage, and thickened vertical partitions, which subdivide the chambers into elongated chamberlets with two tiers in the outer whorls. The two chambers per whorl is a key characteristic of the megalospheric forms (see [1]). The fabulariids were represented in the American province by endemic species, such as F. vaughani Cole, F. cassis, F. colei and F. verseyi. These species are only found in the Caribbean region [32,95,96] from the Early to Middle Eocene (PZ P6-P12a). in the Middle Eocene, Lutetian (PZ P10), the biloculine Fabularia (Fig. 7) gave rise to Pseudofabularia (Plate 3, l) by developing alveolinid-like pre-septal passages [97]. The Bartonian-Priabonian fabulariid assemblages manifested gigantism, however, they all disappear at the end of the Eocene, except for Fabularia verseyi, which survived the Eocene-Oligocene extinction, only to die out in the Rupelian [98,99].

The Tethyan Province
Although the Tethyan province was still the hotspot for Alveolinidae diversity, the Paleocene forms evolved independently from their Late Cretaceous relatives (Fig. 8). in the Tethyan province, they re-appeared during the warm Late Paleocene (Thanetian), where they colonised reefal and backreef environments. During the Eocene, they became large and abundant in forereef environments, only to largely disappear by the end of the Eocene.
Upper.  in the Eocene the amount of flosculinisation varies in different species of Alveolina, and might be considered to be of specific value only. Alveolina evolve into larger forms through the Eocene, and more than 90 species of the genus Alveolina have been reported in the Mediterranean [8]. Many of the species reached gigantic sizes (up to 20 mm long [100]) before the end of the Middle Eocene, where they become essential members of Eocene carbonate fossil assemblages. Alveolina species, however, became smaller again before completely disappearing at the end of Eocene (see [1] The geographic, environmental and phylogenetic evolution of the Alveolinoidea They developed streptospiral nepionts in both generations and a planispiral-involute chamber arrangement in the adult stage of growth [67,101]. Both these genera became extinct at the end of the Lutetian.

Alveolinidae
Paleoclimatic evidence shows a trend of cooling during late Middle Eocene and at the Eocene-Oligocene (E-O) boundary ( [102]; Fig. 13). At the Middle to Late Eocene boundary (37.8 Ma) major changes in global climate and ocean circulation [102] were likely responsible for the disappearance of the gigantic alveolinid species seen at the end of the Bartonian (see [1] The geographic, environmental and phylogenetic evolution of the Alveolinoidea The only alveolinid survivors of the E-O cooling event were forms related to Borelis (Plate 6, d-h), which is in fact an extant alveolinid, and the only one to survive into the Neogene. The appearance of Borelis in the Tethyan province in the Bartonian was 6.6 Ma years after the last recorded Borelis species in the Paleogene of the American province. Given the magnitude of this gap in the stratigraphic column, we suggest that it is unlikely that this appearance in Tethys was the result of a migration event. We suggest that it is more probable that this appearance in Tethys is yet another example of homoplasy, where re-evolution from a primitive form gave rise to a form in Tethys that was generically similar to the extinct American form, and that it filled the Tethyan niche previously occupied by Glomalveolina.
in the Tethyan Eocene, Borelis is represented by the spheroidal B. vonderschmitti (schweighauser), which was widespread throughout the Bartonian and Priabonian of Western Tethys [104,105]. Borelis is common in deposits laid down in Early Oligocene, low-latitude, shallow-marine environments, and differs from Alveolina in having only a pre-septal passage and a secondary small tier of chamberlets, which alternate with the larger ones producing 'Y' shaped septa in the axial section [106]. in the Oligocene, the sub-spheroidal, small (0.5-1.5 mm in diameter and 0.4-1.2 mm long), tightly coiled Borelis inflata (a form with no Y-shaped septula, see [105]) is also recorded from the Oligocene to the Tortonian of the Western Tethys [107][108][109][110].
in the Early Oligocene (from about 33.9 Ma), the Drake Passage opened and there was further climatic cooling and ice volume increase ( [102]; see Fig. 13). Borelis species, which survived the E-O boundary, became adapted to globally cooler environments, while others migrated to the warmer Tethys, such as B. inflata.
The Oligocene continue to witness an evolutionary trend of small alveolinids in the Mediterranean, such as Bullalveolina. This form evolved from being streptospiral to having a planispiral quinqueloculine test, but unlike the extant Borelis, Bullalveolina disappeared at the end of the Oligocene. Generally, however, there were very few notable extinctions of LBF at the end of the Oligocene (see [1]). This stratigraphic boundary is probably connected to plate tectonic events, such the development of the Alpine-himalayan orogeny, which were more gradual events and did not seem to trigger major extinctions, or to gradual changes in climate caused by the growing thermal isolation of Antarctica as Australia drifted northwards [102].
As in the Cretaceous, the Paleogene Fabulariidae (mainly the lacazinoform genera, Lacazina, Lacazinella) are directly derived from the small primitive Idalina which survived across the K-P boundary (see Fig. 8). Further to the ranges listed in BouDagher-Fadel [1], it now seems that the Fabulariidae re-appeared, independently from their Cretaceous counterparts. in doing so, they developed morphologically convergent, homoplasic lineages, which has led to these lineages being given the same generic names as their Cretaceous counterparts. however, we again contend that the considerable stratigraphic gap between their reappearance in the Middle-Late Paleocene and the end Cretaceous forms excludes any chance of a direct phylogenetic relationship, other than via a homoplasic repeated evolution from the same Idalina common ancestor. There are notable differences between Cretaceous and Paleogene genera, so for example, all Paleogene representatives of Pseudolacazina are distinguished from the Cretaceous forms in having lower in shape chambers, subdivided by continuous chamber partitions (septula) (see [15,111]).
in the Paleocene, Periloculina and Pseudolacazina echoed the Cretaceous forms, but they uniquely gave rise to Paleogene Lacazina and Lacazinella by gradual ontogenetic transformation from plurito unilocular, completely overlapping growth. The two chambers per whorl is a key characteristic of the megalospheric forms in the fabulariid, however, in Lacazina and Lacazinella, the microspheric tests have a small initial biloculine stage, followed by uniloculine growth, while their megalospheric tests only show uniloculine development, with a large proloculus. The basal layer of Pseudolacazina bears radial pillars supporting the chamber roof that evolve into low longitudinal septula, which do not reach the chamber floor in Lacazinella, to continuous septula supporting the external chamber wall in Lacazina [1,112].
The re-appeared Lacazina is first recorded in Tethys from the selandian (PZ P4a), while Lacazinella, having completely overlapping chambers, is rare in the Tethyan province and has not been found in Europe, but is only recorded from Oman and other parts of the Middle East [113].
On the other hand, the American Fabularia spp., which first appeared in the American province in PZ P5b [96], appears in Tethys (Plate 6, j) in the PZ P6b [32,111,114]. This west to east trans-Atlantic migration coincides with one of two global sea-level low stand in the early Ypresian (migration 5 in Figs 8, 13 and 14).

The Indo-Pacific Province
We found in our earlier studies of Paleogene rotaliids that migration from Tethys to the indo-Pacific commonly occurred. Likewise, here we find examples of eastward migration in the Eocene of some Alveolinidae into the indo-Pacific province after their first appearance in Tethys (Fig. 14). Thus, the first species of Alveolina appears in the late Ypresian (PZ P9; migration 6 on Fig. 15) in the indo-Pacific province, compared with its occurrence at the base of Thanetian (PZ P4b) in the Tethys. The indo-Pacific alveolinids of the Paleogene remained of lower diversity than those of their Tethyan ancestors. Their sizes were smaller (ranging between 7 and 10 mm [23]) and they showed less internal morphological variation. Only a few species have been reported from indonesia, and many The geographic, environmental and phylogenetic evolution of the Alveolinoidea of them are of the Alveolina oblonga group of hottinger [8]. The indo-Pacific alveolinids range from the latest Ypresian (P9) to Bartonian [115]. Other species reported from the indo-Pacific province include Alveolina timorensis Verbeek and Alveolina ovicula Nuttall [116].
Borelis, which first appeared in the Bartonian in Tethyan province, migrated towards the indo-Pacific through the Tethyan corridor (Fig. 17), but did not appear in the indo-Pacific province (migration event 9 in Fig. 8 [1,115,117]) before the Priabonian (PZ P15b; letter stage, Tb). For example, the Tethyan Borelis vonderschmitti (schweighauser), which was widespread throughout the Middle-Late Eocene in the Western Tethys [104], appeared in the Late Eocene of the indo-Pacific province [118]. The Tethyan Oligocene species of B. inflata are recorded also from the Oligocene-Miocene of sarawak (Borneo) in the indo-Pacific area [118,119]. A gradual stratigraphic succession of indo-Pacific species marked its very slow evolution throughout the Oligocene.
some Tethyan Fabulariidae forms also migrated into the indo-Pacific province [120][121][122], where they are represented by Lacazina and Lacazinella. Lacazina reached the indo-Pacific (migration 8 in Fig. 8) in the Bartonian (late P12a) and settled there by the late Eocene. Lacazina representatives are confined to the northern margin of the indo-Pacific realm and are found only on an isolated platform of Moluccas [31]. Lacazinella, restricted to the southern part of the Tethyan province in the early Eocene (somalia, Oman), first appears in the Lutetian in the indo-Pacific province (migration 7 in Fig. 8) and in the Late Eocene (Papua New Guinea). This genus is recorded from Mindoro and Timor, and on remnants of the Australian craton in indonesia [122]. Lacazinella did not survive the E-O extinction. Neolacazopsis, the representative of the Fabulariidae in the Middle to Late Eocene of Japan, evolved from Lacazina by developing turtleneck, bottle-like chamberlets and alveolar inner wall instead of arcuate chamberlets [123].

The Neogene Alveolinoidea
Only Alveolinidae survived into the Neogene. The eastward migration towards the indo-Pacific province along the Tethyan corridor previously seen in the Paleogene continued into the early Neogene. As species became geographically isolated, the alveolinid distribution showed a distinct provincialism. They colonised new areas in the indo-Pacific and evolved similar but distinct parallel lineages, taking advantage of empty niches and optimal conditions. The Tethyan/Mediterranean Province in the Miocene, the Tethyan alveolinids were represented by species, such as B. inflata, Borelis melo and Borelis curdica. Borelis inflata is recorded as ranging from the Oligocene to the Miocene (Tortonian) of the Western Tethys [107,110,124], and Zakynthos in Greece [108,109]. Borelis melo with a spheroidal shape and relatively large proloculus (60-65 μm) has been reported The geographic, environmental and phylogenetic evolution of the Alveolinoidea from the Aquitanian to Messinian in the Tethyan province [105,106,[125][126][127]. According to Bassi et al. [105], in B. melo the Y-shaped septula occur only in the adult growth stage, while in B. curdica, the proloculus is smaller (30-50 μm) and the Y-shaped septula occur in all whorls. These authors also postulated that all reliable records of B. melo and B. curdica are only from Western Tethys, and B. curdica is restricted to the Tethyan province. Borelis melo ranges from the Aquitanian to the earliest Messinian, while B. curdica ranges from the Burdigalian to the Tortonian [105,106,126,[128][129][130][131][132]. For a comprehensive study and complete references to Borelis species, the reader is referred to Jones et al. [133] and Bassi et al. [105].
Tethyan alveolinid species became isolated from the indo-Pacific by the final eastern closure of the Mediterranean basin (Fig. 18), and finally disappeared from the Mediterranean during the Messinian salinity crisis. however, living Borelis species have been reported from the shallow (less than 40 m) continental shelf off israel [134]. Their re-occurrence in the Eastern Mediterranean with other LBF is attributed by hyams et al. [134] either to migration from the Atlantic during warm periods of the Pleistocene or holocene, or to modern migration from the Atlantic, or to modern (Lessepsian) migration from the Red sea via the suez Canal. since the opening of the suez Canal in 1869, the flow of Lessepsian species (i.e. indo-Pacific species introduced into the Mediterranean sea via the canal) has been continuous [135]. We suggest that a Lessepsian migration is the most likely way that Borelis has recently been introduced to the Eastern Mediterranean, as it is not found in the Western Mediterranean, which would be expected had the migration been from the Atlantic. Furthermore, hyams et al. [134] figured solid, sub-ellipsoidal specimens morphologically similar to the indo-Pacific Borelis schlumbergeri (Reichel). The Lessepsian origin of this finding is further supported by the fact that B. schlumbergeri (Reichel) is to be found in the Northern Bay of safaga, in the Red sea, close to the southern entrance to the suez Canal [136].
The Indo-Pacific Province in contrast to the apparent isolation of Tethys forms from the Americas in the Middle and Late Paleogene, migration towards the indo-Pacific continued in the Oligocene and Early Miocene through the Tethyan seaway (see [3][4][5][6]). in the late Langhian-early serravallian (13-14 Ma), a time of several regressions, the short-lived marine reconnection between the Mediterranean and indian Ocean again closed [137]. This final closure brought all migration towards the indo-Pacific province to an end, and coincided with the onset of a global cooling period. By the time the East Antarctic ice sheet was established (12 Ma), the forereef LBF such as the miogypsinids and lepidocyclinids had become extinct or very rare in the indo-Pacific sub-province [1], while the isolated backreef LBF in the indo-Pacific developed new survival characters. The small primitive Borelis in Middle to Late Miocene shallow-water settings became rare and was gradually replaced by forms with more evolved characters [1,27], such as Flosculinella (Plate 7, a-b) with double rows of chamberlets on the floor of each chamber, and the elongated fusiform Alveolinella with several rows of chamberlets in axial section. The superposed regular layers of chamberlets separated by floors in Alveolinella Figure 18 schematic distribution of the reported alveolinoids during the Miocene in the indo-Pacific province.
Over the Neogene Period, indo-Pacific alveolinids underwent a very slow evolution, but notably include Borelis pygmaeus (which persists to the top of the Te stage [1,27]). This species is recorded from Oligocene to Lower Miocene deposits [23,27,118,119], but is suddenly replaced by a more advanced form Flosculinella bontangensis (Plate 7, b), with an incremental increase in the length of the test from The geographic, environmental and phylogenetic evolution of the Alveolinoidea pole to pole, changing from globular, to ovoid, to elongated spindle-shaped, and with an equally incremental increase in the number of secondary chamberlets ('mansardes') from zero in Borelis through to one in Flosculinella to several rows of chamberlets in Alveolinella. Parallel lineages have each developed with the acquisition of an additional row of chamberlets in the Borelis-Flosculinella lineage. This must have occurred at least twice during Te-Tf interval (Early-Middle Miocene). An example of one of these lineages is seen with the appearance of Flosculinella reicheli within the Early Miocene (upper Te) and of F. bontangensis (Plate 7, b) in the early Middle Miocene (just at the top of the Te stage). The latter gave rise to Alveolinella praequoyi (Plate 7, c) in the serravallian, at the base of Tf2 stage. Alveolinella praequoyi has early whorls akin to F. bontangensis, but in the latter the chamberlets of each whorl are covered by at least two layers of smaller chamberlets. in Alveolinella quoyi ( Fig. 9 Borelis inflata, which first appeared in the Oligocene of Tethys, migrated rapidly into the indo-Pacific province, and has been described from the Oligocene to Lower Miocene of sarawak (Borneo) in the indo-Pacific area [118,119].

The American Province
The alveolinids were absent from the Neogene of the American province before the early Piacenzian closure of the Central America seaway (Figs 13 and 16). Today, they are represented by B. pulchra (d'Orbigny), which is recorded from present-day sands of Cuba, Florida and from Jarvis island [105,138,[143][144][145].
There are no records for this species from the Mediterranean, nor would we contend from the indo-Pacific (see above). Bassi et al. [105], however, suggest that indo-Pacific forms are synonyms of B. pulchra and proposed that there was a migration eastwards from the indo-Pacific across the Pacific and through the Central America seaway, before its closure in the Pliocene (Fig. 13). however, despite being strong advocates for the dispersal of LBFs by trans-oceanic migration, because in our opinion the Pacific species are distinct from the American B. pulchra, we favour the suggestion that B. pulchra is another example of homoplasy, just as we suggest that the Middle Eocene Tethyan origin of Borelis was distinct from that of the early Paleogene American forms.

Discussion
The synthesis described here of the alveolinoids, over an expanded, globally comprehensive geographic area and stratigraphic range, has enabled a more coherent view of their phylogenetic and palaeogeographic evolution to be established, and provides an update to the description presented in BouDagher-Fadel [1]. Two significant characteristics of their evolution and development will be discussed below in further detail, namely those of homoplasy, and of provincialism punctuated by trans-oceanic migration.
The traits of convergent evolution exhibited by the alveolinoids fall into two distinct types: those in which gross external morphology of forms echo the shape of previous LBF forms, and those in The geographic, environmental and phylogenetic evolution of the Alveolinoidea which the internal test morphology is reproduced in forms that are not directly consanguineous. As noted above, an extreme example of ecologically driven convergent evolution involving forms from different orders is exhibited in the external appearance of alveolinoids that closely resemble the planispiral, fusiform fusulinides of the late Paleozoic.
More confusingly from the taxonomic and phylogenetic viewpoint, however, are the second type of homoplasy, where due to a predisposition to repeated genetic mutations, forms with the same or similar generic characteristics repeatedly appear within a family over time. When these characteristics are similar but not identical, they can lead to the misidentification of forms, as for example, in the rhapydioninids, where some Cretaceous Tethyan Murciella have been misidentified as Raadshoovenia. As noted above, true Raadshoovenia appeared only in the Paleogene of the American, and can be characterised by having a streptospiral nepiont in both megalospheric and microspheric generations, and by being smaller than Murciella.
Another example of homoplasy is one that gives rise to very similar forms within the same family, but which are separated by a larger stratigraphic interval. so, for example, following their Cretaceous predecessors, Paleogene alveolinids re-appeared from Pseudonummuloculina, giving rise to the Alveolina lineage. These Paleogene forms are morphologically convergent with the fusiform/globular alveolinids of the mid-Cretaceous characterised by the Praealveolina group.
There are generic differences to the detailed test structure of these two lineages, as well as a considerable gap of about 20 Ma in the fossil record, so there is no doubt that they represent distinct, homoplasic stages of evolution within the Alveolinidae. The same is not true, however, for the Late Cretaceous and Early Paleogene fabulariids. here, the Paleocene Periloculina lineage (including Pseudolacazina and Lacazina) echoed the Cretaceous forms so closely that they are generically indistinguishable. There is however a gap of over 6 Ma between the K-P boundary and the first Paleogene occurrence of Periloculina in the selandian. These Paleogene genera could be considered to be Lazarus taxa, which Wignall and Benton [146] explain thus, 'At times of biotic crisis many taxa go extinct, but others only temporarily disappeared from the fossil record, often for intervals measured in millions of years, before reappearing unchanged.' Wignall and Benton [146] suggest that the reappearance of Lazarus taxa in the fossil record probably reflects the rebound after a period of extreme rarity during the aftermath of a global extinction. here, however, we prefer another explanation, namely that, as with the Alveolina lineage, the Paleogene Periloculina lineage is an example of homoplasic re-evolution from a small, simple form that survived the K-P extinction. however, unlike Alveolina we suggest that, for the Paleogene Periloculina lineage, the homoplasy produced forms so close to the previous Cretaceous forms as to be generically indistinguishable.
A further example of a form that could be a Lazarus taxa or an example of homoplasy, is given by Borelis. The American Borelis is reported from the Middle Paleocene to the Early Eocene (PZ P-P9), while the first occurrence of the Tethyan Borelis is in the Bartonian of Western Tethys. These occurrences are separated by 6.6 Ma in the geological column, and by an ocean. American Borelis has aligned septula and pre-septal passages, and they are in general smaller in size than those of the Tethyan Borelis. This, and the challenge of the concept of 'the rebound after a period of extreme rarity' of a form into a province displaced from its original realm, leads us to propose that American Borelis and Tethyan Borelis are likely also to be examples of homoplasy. This potential tension between the concepts of Lazarus taxa and of homoplasy is worthy of further exploration elsewhere.
We now turn to the second notable feature of the development of the Alveolinoidea, namely their distinct global pattern of provincialism and the episodes of trans-oceanic migration, similar to behaviour previously observed in other LBFs (e.g. [3][4][5][6]147,148]). The three main alveolinoid provinces were those of the Americas, Tethys and the indo-Pacific. We have previously demonstrated that the Cretaceous agglutinated orbitolinids originated in Tethys, but underwent periodic westward trans-oceanic migration to the Americas during periods of global sea-level low stands [2]. in this study, we have confirmed that the Tethyan province also remained the palaeogeographic centre for the porcelaneous alveolinids, and that they inhabited similar ecological habitats throughout the Cretaceous and Paleogene. it has been inferred here for the first time that a westward palaeogeographic migration of some alveolinid genera also occurred in the mid-Cretaceous from the Tethys to the Americas (migrations 1-3, Fig. 11), while the Late Cretaceous alveolinids remained mainly isolated (migration 4, Fig. 11). On the other hand, in the Paleogene we saw limited eastward migration from the American province towards Tethys (Fabularia in the Ypresian, PZ P6b; migration 5, Fig. 15). On the other hand, migrations from Tethys towards the indo-Pacific region continued till the closure of the Tethyan corridor and the isolation of the The geographic, environmental and phylogenetic evolution of the Alveolinoidea Mediterranean in the serravallian (migrations 6-9, Fig. 8). As noted, we have shown that most cosmopolitan alveolinoids appeared in Tethys before migrating to other provinces. Likewise, we have seen that once established in the American and indo-Pacific provinces, local provincial forms evolved, indicating that they were periodically effectively isolated from the Tethyan province. These characteristics have been observed in previous studies of Mesozoic [2] and Cenozoic LBF, specifically the lepidocyclinids [3], the miogypsinids [4], the nummulitoids [5,149] and the orthophragminids [6,150]. The periods of migration from one province to another were often followed by subsequent isolation and development of local provincial lineages. These migrations were often associated with major sea-level regressions, while the subsequent provincial isolation coincided with global sea-level transgressions. This study has, therefore, further tested the migration hypothesis highlighted by Pignatti [7], and has confirmed the wider application of the ideas initially put forward by BouDagher-Fadel and Price [2][3][4][5][6].

Conclusions
We have resynthesised the literature on the occurrence and distribution of the alveolinoids, and augmented this information with observations on new materials from the Americas, Europe, the Middle East, Tibet and south-East Asia. We have produced a global correlation and integration of the occurrences and stratigraphic ranges of members of the three alveolinoid families, namely the Alveolinidae, the Fabulariidae and the Rhapydioninidae, based upon the planktonic foraminiferal zonal scheme of BouDagher-Fadel [1,24]. in the Cretaceous, alveolinoids are found in the Tethyan and American provinces, while of the later Cenozoic forms, Alveolinidae and Fabulariidae are found in three provinces (Tethys, American and the indo-Pacific), while the Rhapydioninidae are constrained to the Americas.
Alveolinoids characteristically exhibit convergent evolution, with the repeated re-occurrence of certain morphological features. This homoplasy is predominantly of two types, one which recapitulates the gross external morphology of forms, and one in which the internal test morphology is also reproduced, even to the level of regenerating forms with the same generic characteristics.
We have shown that no alveolinoid survived the K-P extinction, but that members of all three families re-appeared from small miliolids that were resilient enough to pass into the Paleogene. specifically, we have concluded that: • Cretaceous Tethyan Murciella has on occasion been misidentified as a Raadshoovenia, which in fact is an American Paleocene form.
• Fabularia originated in the Americas at the beginning of the Ypresian, but soon thereafter migrated to Tethys.

•
There is a gap of over 6 Ma between the last occurrence of Periloculina, Pseudolacazina and Lacazina in the Cretaceous and their re-appearance in the Paleogene, and that these taxa are most likely to be examples of homoplasic evolution from a small, simple form that survived the K-P extinction.
• The 6.6 Ma gap between American Borelis and Tethyan Borelis suggests that they are likely also to be examples of homoplasy.
Finally, our previously developed hypothesis that periodic, sea-level lows enable inter-provincial migration of LBF is strongly supported, and that the behaviour and directions of migration of the alveolinoids is resonant with those of the orbitolinids, the orthophragminids, the nummulitoids, the miogypsinids and the lepidocyclinids. Migration occurred from East to West in the Cretaceous, but was dominated by migration from West to East in the Cenozoic.