significance of cryptic species. Only such conclusions are then able to provide meaningful contributions to, for example con- versation management or health issues stemming from cryptic species.
Towards a Unifying Conceptual Framework for Cryptic Species
The first attempt towards a unifying conceptual framework of cryptic species was accomplished by Bickford et al. (2007). They defined cryptic species as ‘two or more distinct species that are erroneously classified (and hidden) under one species name’. This broad definition was quickly applied in several studies and became the most commonly used one, as it is easily applica- ble due to its tight link to the taxonomic history of the species. That is, it strictly requires that the species complex is formally described as a single species before. However, this also entails a caveat associated with different schools of taxonomic practice (see also: History of Taxonomy). For instance, in taxonomy, some schools favour splitting species even in cases of only little support, while others would rather lump these together as a sin- gle species (the splitter vs. lumper debate). Hence, some groups would be more prone to have cryptic species only due to dif- ferent taxonomic practices. For example, the newly described Marphysa aegypti (Annelida) from Egyptian waters was previ- ously recorded as Marphysa sanguinea (Elgetany et al., 2018). Even though both species are morphologically substantially dif- ferent from each other, they could be called cryptic species or at least pseudo-cryptic species, while in truth the previous records suggest only sloppy taxonomic practices. On the other hand, molecular data supported the traditional assignment of species within the genus Polygordius (Annelida) based on geographic regions (Ramey-Balcı et al., 2018), despite the indistinguish- able adult morphology of Polygordius lacteus from Polygordius neapolitanus and Polygordius jouinae from Polygordius triesti- nus. Nonetheless, both species pairs could not be considered cryptic species given the provided definition by Bickford et al. (2007). Moreover, others pointed out that recent definitions of cryptic species are often linked to and depend on the applied species concept (Pante et al., 2015; Sukumaran and Knowles, 2017; Fišer et al., 2018; Heethoff, 2018). Given these nonbio- logical aspects, several studies introduced slightly different con- cepts such as pseudo-cryptic, hyper- or mega-cryptic species (e.g. Adams et al., 2014; Cornils and Held, 2014; Nygren et al., 2018). Hence, in recent years, there has been an increased debate again what constitutes a cryptic species. Ultimately, Korshunova et al. (2017) argued ‘to avoid the terms “cryptic”/“pseudocryptic” species as a reference to a “natural phenomenon” because it is obscuring multilevel character diversity within a complicated taxonomy-dependent framework’ and instead ‘to use the term “cryptic species” only for a temporary formalization of the prob- lems with delineation of the species from the same geographic region, when those species demonstrate significant molecular phylogenetic differences, but are hardly distinguished morpho- logically, ethologically, etc.’ A recent literature survey found that only 14% of the studies actually provided or applied an explicit
………………Column Break………………definition of cryptic species adding to the problem of uncer- tainty in the assignment of cryptic species (Struck et al., 2018b). Of these, all were explicitly or implicitly taxonomy-based like the Bickford et al. (2007) definition. Additional criteria such as usage of molecular data, sympatric occurrence, reproductive iso- lation, reduced gene flow, or no morphological differences were included in the definitions. Moreover, another problem of assign- ing cryptic species based on these definitions is that the species delineation process is intermingled with the assignment of the term ‘cryptic’. As a consequence, all problems associated with species delineation (see also: Species Problem – A Philosoph- ical Analysis) also automatically apply to the assignment. In summary, the assignment of a species as cryptic species depends on many nonbiological factors such as the applied definition and species concept as well as the taxonomic tradition resulting in much uncertainty about what constitutes a cryptic species and if it is a natural phenomenon or only a human-made artefact. This problem has dire consequences for meta-analyses investigating the impact of cryptic species in biodiversity studies (Perez-Ponce de Leon and Poulin, 2016; Poulin and Pérez-Ponce de León, 2017), and for the understanding of biological processes.
Two general assumptions, which were at least implicitly applied in the practical procedures, were evident from the lit- erature (Struck et al., 2018b). First, given the species concept, cryptic species were generally thought to be ‘true’ species and, second, these species were so similar in the taxonomically relevant phenotypic characters that they were not or hardly distinguishable from each other. Therefore, Struck et al., 2018b provided a new definition for cryptic species reflecting these two assumptions. The process of assigning cryptic species was separated into two clearly separated steps in contrast to the previous attempts. At the first step, it has to be established that the species are truly species given the applied species concept. In Figure 1, the white circles indicate cases, which would not be considered species and accordingly also not cryptic species. Hence, this first step is not different from any other species delineation process, independent if these entities are cryptic or not, but it has the advantage that the pitfalls associated with this process are confined to the proper step and are not carried over to the next step. The second step consists in showing that the species are phenotypically more similar to each other than one would expect given the time that has passed since their last common ancestor (or the level of genetic divergence as a proxy for time). These species should hence be called cryptic species only if this level of phenotypic disparity is significantly lower than expected. The red circles in Figure 1 represent such cases, while the orange and yellow circles do not. This second step is the crucial step in the framework with respect to cryptic species as here the actual assignment occurs. The definition is property-based and independent of the taxonomic history of the species at hand. Specifically, it does not matter if the species have been described as only one before or not. Studies across taxa, habitats, life strategies and so forth can be based on comparable categories like similar applied species concepts, levels of disparity or genetic divergence instead of taking cryptic species at face value allowing more robust conclusions about the impact of cryptic species.
Figure 1 Unifying conceptual framework based on Struck et al. (2018b). The x-axis represent time since divergence from the last common ancestor. Often genetic divergence is used as proxy for this. The y-axis represents the degree of phenotypic disparity. The dark blue area is the area of ongoing speciation and hence no species boundaries have been established yet (white circles). The light blue area indicates evolution between pairs of species (orange circles) as it is intuitively assumed. That is phenotypic disparity more or less increases linear with time. The orange area reflects cases (yellow circles) in which phenotypic evolution occurs at a much higher rate than anticipated such as in adaptive radiations. The green area represents cases (red circles) of significantly reduced phenotypic disparity given time as it is the case in cryptic species.
Evolutionary Significance of Cryptic Species
Understanding the tempo and mode of speciation, and the drivers of phenotypic diversification are major objectives in biology (Rabosky and Adams, 2012). Therefore, identifying and quantifying contrasts between phenotypic disparity and genetic divergence has become popular in recent decades. Cases such adaptive radiations where morphological disparity outpaces genetic divergence received considerable attention (see also: Adaptive Radiation). Adaptive radiations generally rely on open ecological opportunities like appearance of new resources, evolution of key innovations or colonization of new areas fol- lowed by specialization to the open niches and speciation (Losos, 2010). Cryptic species as defined by the aforementioned frame- work can be regarded as the exact opposite to these radiations, being characterized by a strongly reduced phenotypic or at least morphological disparity in comparison to the observed genetic divergence (yellow vs. red circles in Figure 1).
If high rates of phenotypic variation have the potential to result in radiation of organisms and occupation of different evolution- ary niches – ‘high evolvability’ – then low phenotypic disparity as observed in cryptic species can be seen as a paradox as theory predicts that clades with high evolvability supersede clades with low evolvability (Estes and Arnold, 2007; Rabosky and Adams,
………………Column Break………………2012). Clades of cryptic species should have a lower ‘adaptive zone’ and occupy less ecological space and, hence, be replaced by clades with a potential to evolve and adapt faster (Rabosky and Adams, 2012). As evolvability is generally considered as a measure of evolutionary success (Rabosky and Adams, 2012), the question arises why so many cryptic species are observed nowadays, which supposedly lack any phenotypic or at least mor- phological evolution. Several suggestions have been put forth to explain lack of phenotypic evolution in general and especially considering macro-evolutionary patterns (Futuyma, 2010). These include, among others, genetic and developmental constraints, source populations impeding specialization (meta-population dynamics), repeated bottlenecks decreasing standing genetic variation, large populations, stabilizing selection, ephemeral, stressful or fluctuating environments, evolutionary stable con- figurations or niche conservationism (Maynard Smith, 1983; Eldredge et al., 2005; Futuyma, 2010; Haller and Hendry, 2014; Chomicki and Renner, 2017). However, the lack of phenotypic evolution has received considerably less attention in evolution- ary biology than its opposite, adaptive radiations, especially at the microevolutionary level, and empirical and experimental evidence for any of the suggestions is low so far. While cryptic species can be ideal systems to inform us on the causes of reduced phenotypic disparity, much needs to be done. First, the evolutionary processes resulting in cryptic species must be identified. Then it can be investigated in how far the different causes mentioned above influenced these processes. Four differ- ent processes have been suggested to result in cryptic species: recent divergence, convergence, parallelism and stasis (Swift et al., 2016; Struck et al., 2018b).
Evolutionary Processes I: Recent Divergence
The most common, but unproven assumption is that cryptic species follow recent speciation and that they did not yet have enough time to accumulate substantial phenotypic, especially morphological differences (Knowlton, 1993; Reidenbach et al., 2012). For example (Figure 2), in the malaria vector Anophe- les gambiae (Hexapoda) two forms, the M (now recognized as Anopheles coluzzii) and S form, are recognized, which seem to be reproductively isolated (Reidenbach et al., 2012). They are at an early stage after speciation differing in an inversion on chromosome-2, which seems to be associated with their eco- logical differences (Simard et al., 2009). The M form mainly exploits stable larval habitats with high level of stressors; the S form exploits unpolluted, predator-free, ephemeral habitats asso- ciated with seasonal rainfall (Reidenbach et al., 2012). Ecological experiments suggest that these forms seem to outcompete each other in their respective environment and respond to predation differently (Diabaté et al., 2008). Hence, in the M and S forms, other traits than morphology are under selection.
Speciation is not necessarily accompanied by morphological change in the early stages as selection acts largely on physiolog- ical, immunological, reproductive or behavioural traits (Bensch et al., 2004; Damm et al., 2010; Derycke et al., 2016). Allopatric

Figure 2 Schematic representation of the Anopheles example for recent divergence (based on the results of Reidenbach et al., 2012). The left panel exemplifies the recent divergence of the two cryptic species. In the middle, the genomic inversion at chromosome 2 is shown and the right one lists the ecological differences observed between the two species.
speciation while remaining in one particular ecological niche or habitat might lead to the building-up of nonadaptive divergence without morphological change. As a result, recently diverged species can remain morphologically identical following initial divergence (Korshunova et al., 2017). In these cases of recent divergence, cryptic species are nothing special to other species pairs as the speciation event is very recent and generally no or little phenotypic change, particularly in morphology, is expected this shortly after the speciation unless there is a strong selection towards different adaptive optima. Moreover, such cases cannot provide much insight into the supposed lack of phenotypic evolution.
Evolutionary Processes II: Convergence and Parallelism
Phenotypic similarity could also stem from convergence or par- allelism (Swift et al., 2016; Struck et al., 2018b). In both cases, the cryptic species evolved the same phenotypes independently of each other. While for convergence the immediate ancestors of the cryptic species were dissimilar from each other as well as to the extant cryptic species, for parallelism the ancestors were similar to each other, but dissimilar to the extant cryptic species. One example (Figure 3) comprising both convergence and parallelism occurs in the Mastigias species complex (Scypho- zoa) (Swift et al., 2016). Mastigias species occur in both coastal waters including coves and lagoons (‘ocean’ phenotypes), and in small-bodies of salt water without an open connection to the ocean (‘lake’ phenotypes). The ‘lake’ phenotypes evolved both by parallelism and convergence from the ‘ocean’ phenotypes. In some cases, the ‘lake’ phenotypes evolved from the same ‘ocean’ phenotype (parallelism) and in others from different ‘ocean’ phenotypes (convergence). Similarly, selective pressures from predators led to parallelism in the Holarctic Enallagma species (Hexapoda) (Stoks et al., 2005). Cases of convergence of cryptic species were also found in the Deep Sea (Vrijenhoek, 2009).
As for the case of recent divergence, the evolutionary pro- cesses of convergence and parallelism cannot contribute to our
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understanding of the lack of phenotypic evolution, as phenotypic change occurred. Nonetheless, these cases can help us under- stand how reduced phenotypic disparity evolves. Importantly, it indicates that reduced phenotypic disparity and lack of pheno- typic evolution are not necessarily the same. For convergence and parallelism specifically, the question arises what are the driving factors that the cryptic species independently evolved to the same phenotypes? Is it due to intrinsic (e.g. developmental constraints) or extrinsic ones (e.g. extreme environments) confining the avail- able phenotypic landscape to only one solution in the respective situation? Contrary to parallelism, intrinsic factors are expected to be less influential than extrinsic ones in convergence, as evo- lution starts from more distinct genetic backgrounds. However, maybe even for convergence developmental constraints constrict the available phenotypic landscape more than expected.
Evolutionary Processes III: Stasis
In contrast to the other three processes, under phenotypic sta- sis, cryptic species retain similar phenotypes for millions of years. The literature survey by Struck et al. (2018b) revealed that stasis in cryptic species may occur at least not substan- tially less than recent divergence and seems to be an impor- tant process in the evolution of cryptic species. A prominent example (Figure 4) is provided by the Cavernacmella complex (Gastropoda) on the Ogasawara Islands (Japan) (Wada et al., 2013). The ‘Cavernacmella minima’ phenotype occurs in five clades on the different islands of the archipelago (i.e. Mukojima, Chichijima and Hahajima). These represent cryptic species and are unaltered for over 3 million years. In contrast, within the clade of these cryptic species are also five species, which are morphologically distinct from the ‘C. minima’ phenotype. This indicates that enough time passed to accumulate morphological differences under certain conditions. This release from morpho- logical arrest might indicate the absence of developmental con- straints. Similarly, cichlids have demonstrated the potential for burst of morphological evolution and stasis (Seehausen, 2006). Other examples of stasis comprise Stygocapitella (Annelida),

Figure 3 Schematic representation of the Mastigias example of parallelism and convergence based on the results by Swift et al. (2016). The phylogenetic relationship between the two morphotypes (oceanic and lake; indicated by the two icons) is shown to the left. Swift et al. (2016) regarded the origin of the two lake morphotypes within the Chinese Sea as well as two within the Pacific Islands & South Philippinean Seas as examples of parallelism as they originated from the same oceanic species. In contrast, they concluded that the other lake morphotypes to each other as well as to these previous ones evolved by convergence as they originated from different oceanic species.
Diporiphora (Squamata), Mastigias (Scyphozoa) or Cletocamp- tus (Crustacea) species complexes (Rocha-Olivares et al., 2001; Smith et al., 2011; Swift et al., 2016; Struck et al., 2017). Sty- gocapitella is an example of long-lasting morphological stasis. Stygocapitella individuals live between sand grains, by the foot of the dune, at a depth of about 0.5–1 meter and can be found on beaches in all major coastlines with the exception of tropical regions (Westheide, 2008). Molecular data suggest the presence of several cryptic species at the different coastlines and even though rigorous morphological reinvestigations discovered min- imal phenotypic differences among the deeply divergent clades, these are estimated to have diverged about 300 to 100 million years ago (Struck et al., 2017). As such, the Stygocapitella com- plex seems to be under morphological stasis with slight morpho- logical differentiations having occurred more than 100 million years ago. It is certainly challenging to address why these species did not change morphologically while closely related ones did, and why no phenotypic differences became fixed in the gene pools just by chance (e.g. due to recurrent bottlenecks).
………………Column Break………………Hence, cryptic species such as the presented examples are ideal systems to investigate stasis using extant taxa. These systems allow addressing both patterns of reduced phenotypic disparity and the process leading to the absence of phenotypic evolution. The term stasis is most often used in macro-evolutionary and paleontological studies and less in micro-evolutionary ones using extant taxa. In macroevolution and palaeontology, it became pop- ularized as an argument for punctuated equilibria (see also: Punc- tuated Equilibrium and Phyletic Gradualism), where evidence from fossil timelines lasting for millions of years questioned the power of selection. However, recent efforts have focused on inte- grating stasis at the microevolutionary level (e.g. Hansen and Houle, 2004; Estes and Arnold, 2007). Futuyma (2010) reviewed many of these models including stabilizing selection, lack of genetic diversity, genetic and developmental constraints, eco- logical niche tracking and niche conservatism. Other potential, nonexclusive explanations for stasis or arrested evolution have been put forward specifically for more specific scenarios or habi- tats. For example, for the interstitial realm, that is the space

Figure 4 Schematic representation of the Cavernacmella example for stasis given the results of Wada et al. (2013). Wada et al. (2013) recognized a total five cryptic species as well as five morphologically distinct, noncryptic species within them (indicated by the different forms and colours; icons are relative in size to each other). The occurrence of these ten species is indicated as well as their life-history and habitat (epigenean and cave-dwelling; indicated by the two icons).
between the sand grains in marine sediments, one potential expla- nation stems from the ‘plus ça change, plus c’est la même chose’ (The more it changes, the more it is the same) model (Sheldon, 1996). This model regards morphological stasis as a response to widely fluctuating physical conditions, which are stable on geological timescales. This fits the interstitial realm, as this is characterized by wide variations in pH, salinity and moisture at short timescales, but this fluctuating characteristic has remained similar for millions of years ago (e.g. Westheide, 1977). It has also been suggested that the phenotypic landspace of species with limited morphological differentiation such as, for example some worms or fungi are too small to allow for change (Bickford et al., 2007). In contrast, another suggestion is that intraspecific varia- tion of traits is high and allows for coping with broader ranges of ecological differences, while the traits fluctuate around a stable mean (Voje, 2016).
Conclusions
Studying cryptic species has great potential to further our under- standing of evolutionary processes as outlined earlier, but also with respect to research in macroecology and conservation biol- ogy (Figure 5) (Bickford et al., 2007; Bernardo, 2011; Pante et al., 2015; Fišer et al., 2018). However, to accomplish these goals a pre-requisite is that what is a cryptic species can be
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determined with certainty. It is important to differentiate cryptic species complexes from those complexes arising from taxonomic biases or malpractice. Only the former will be able to inform us on biological processes in evolution and ecology as they reflect true natural properties. A two-step conceptual framework to accomplish this has been provided and hence the theoretical foundation been laid. However, the literature survey by Struck et al. (2018b) also clearly showed that methodological improve- ment is needed in all aspects to achieve this. Often the phenotype is not studied at all, only a single, uni-parentally inherited genetic marker is used, and/or the results are not set in relation to time or other noncryptic species to assess if they are really excep- tionally different from them. Moreover, biology is transforming into a ‘big data’ science including among others high-throughput sequencing technologies, which allows us to apply population genomic and phylogenomic methods independent of the study object and hence provide much broader data basis for their con- clusions (Figure 5).
On the other hand, improved delineations of cryptic species will result in and contribute to an improved understanding of the causes of evolutionary processes like convergence, paral- lelism and stasis (Figure 5). Again, the applications of genomic and transcriptomic approaches studies on cryptic species can aid in linking genotypic change to phenotypic alterations or lack thereof. Similarly, improved delineations will result in improved biodiversity assessments allowing better modelling of macroecological processes. Moreover, an improved understand- ing of the evolutionary processes shaping cryptic species allows a better assessment of ecological changes and its evolutionary consequences over space and time. Summarizing the research on cryptic species should address the following questions to con- tribute to our understanding of the evolution of reduced pheno- typic disparity and how this affects the macroecological processes in different habitats:
- Which species complexes are only taxonomic oddities, and which are truly cryptic?
- Which cryptic species are the results of recent speciation, parallelism, convergence or stasis, and how common are they?
- What are the relevant intrinsic and extrinsic factors affecting phenotypic evolution of cryptic species and to what degree do they affect their phenotypic landscape?
- Are there more cryptic species in certain branches of the tree of life, among taxa with certain life histories (e.g. generalists vs. specialists), or in certain habitats?
- How affect cryptic species the composition and stability of ecosystems or vice versa how vulnerable are cryptic species due to these effects?
Multidisciplinary research on cryptic species

Figure 5 Schematic representation how different biological disciplines can contribute to the research of cryptic species and thereby increase our understanding of macro-ecological, evolutionary and genomic patterns and processes.
Glossary
Convergent evolution Evolution of the same set of morphological traits from different ancestral set of traits.
Cryptic species Different species, which are morphologically very similar or identical.
Morphology The form or structure of the external characters of an organism.
Parallel evolution Evolution of the same set of morphological traits from one ancestral set of traits.
Stasis Maintenance of morphological similarity during long timescales.
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