Abstract
The intricate molecular and cellular structure of organisms converts energy to work, which builds and maintains structure. Evolving structure implements modules, in which parts are tightly linked. Each module performs characteristic functions. In this work we propose that a module can emerge through two phases of diversification of parts. Early in the first phase of this biphasic pattern, the parts have weak linkage—they interact weakly and associate variously. The parts diversify and compete. Under selection for performance, interactions among the parts increasingly constrain their structure and associations. As many variants are eliminated, parts self-organize into modules with tight linkage. Linkage may increase in response to exogenous stresses as well as endogenous processes. In the second phase of diversification, variants of the module and its functions evolve and become new parts for a new cycle of generation of higher-level modules. This linkage hypothesis can interpret biphasic patterns in the diversification of protein domain structure, RNA and protein shapes, and networks in metabolism, codes, and embryos, and can explain hierarchical levels of structural organization that are widespread in biology.
Introduction
In evolution, a pattern of change may recur in diverse contexts. Classic examples include punctuated equilibrium, with alternation of stasis and rapid change; prolonged trends of increase in size; adaptive radiation; convergence; and mass extinction. It is an interesting challenge to understand how a pattern of change arises. Can it only arise in one way, or are alternative paths possible? If the latter case is true, what are these paths, and in what circumstances are they likely to occur?
Diversification occurs throughout evolution, encouraging us to look at its patterns of change. We focus on biphasic patterns of diversification, in which diversity decreases to a minimum and then increases again. The stimulus for our inquiry was the work of Sander (), Duboule (), and Raff () on developmental hourglasses—biphasic patterns of diversification in the development of embryos. These studies interpreted such patterns in terms of linkage, the extent of interaction among parts of a system. In this paper we propose a general linkage hypothesis to explain evolutionary biphasic patterns that exist at many levels of biological organization. Note that our hypothesis is novel, and different from the proposed developmental hourglasses, in ways that will be explained below. In our hypothesis, a system with many parts can have alternative associations and functional capacities. Through mutation and reassortment the parts become more numerous and diverse. With selection for a specific association or capacity, the system undergoes competitive optimization: The parts interact more strongly, competing, and cooperating to meet the selection criterion. That is, linkage among the parts increases, as does the organization of the system. As functional niches within the organization become filled, fewer new parts survive competition, and the rate of diversification of parts decreases. Increasing linkage shapes modules—sets of parts that interact more strongly with each other than with other parts of a system. Since linkage is tighter within a module than between the module and its context (Simon, ), modules become free to diversity in different contexts within the system and in various ways (e.g., by producing new kinds of variants or by linking to other modules to form higher-level modules). This development of autonomy produces a second phase of diversification of parts. Figure 1 illustrates the principle with a simplified model.
Figure 1
In the next section, we present examples of this hierarchy-generating process in the evolution of macromolecules and networks. We first describe patterns of structural diversification of proteins and nucleic acids. We then focus on biological networks, dissecting patterns in (1) emerging metabolic networks during origins of life, (2) emerging biological codes during the rise of diversified lineages, and (3) at the interface of evolution and development.
Biphasic patterns in the diversification of macromolecules
The sequence and structure of proteins, nucleic acids, and other polymers used by biological systems to function and to store information diversify in various ways. For example, biphasic patterns of diversification are evident in the evolution of protein structures and of other macromolecules.
Diversification of protein structures
Proteins are made up of one or more protein domains, compact folding units of molecular structure and function. Protein domains recur in life and represent evolutionary units. They are structurally and functionally diverse, and they interact with small and large molecules (including other domains, metabolites, lipid bilayers, and nucleic acids) to function in diverse cellular processes. The Structural Classification of Proteins (SCOP) organizes related protein domains into hierarchical levels of structural organization (Murzin et al., ; Andreeva et al., ). The fold family (FF) level describes domains that are closely related at the sequence level (>30% pairwise amino acid sequence identities) or that share similar structures and functions despite lower sequence identities. The fold superfamily (FSF) level pools domains with similar structural and functional features that suggest probable common ancestries. The FSFs of this level can group one or more FFs without a formal structural definition. The fold (F) level defines domains that have common 3-dimensional molecular topologies (architectural designs). Their similarity may manifest the physics and chemistry of folding rather than an ancestral relationship.
The age of a group of protein domains defined at a particular hierarchical level of structure (e.g., the age of a fold) is the time interval from the origin of the founder of the structural group to the present. For example, the age of the P-loop hydrolase fold, the most ancient protein group, is ultimately defined by the oldest domain belonging to that fold defined at F, FSF, or any other level of structural abstraction. Such ages can be estimated from phylogenetic trees that describe the evolution of domain structures (Caetano-Anollés and Caetano-Anollés, ). In a tree with organisms as taxa (trees of species), the distribution of members of the group among organisms suggests the branch of the tree in which the founder evolved. This approach to estimating ages has been recently used in genomic phylostratigraphy of metazoan species (Domazet-Lošo et al., ). However, many groups of domains have founders that are universal and are phylogenetically uninformative, since they can only be traced to the basal branch of the universal tree of species (sometimes referred to as the “tree of life”). A tree with groups of protein domains as taxa provides a direct estimate of domain age for all domains (recent or ancient). These trees are analogous to trees of genes, but instead of defining the evolution of entire gene products, the trees describe the evolution of parts (molecular domains). The tree can be reconstructed from a census of the occurrence and abundance of domains in proteomes. Such trees have been derived from a protein census at FF (Caetano-Anollés et al., ), FSF (Wang et al., 2007), and F (Caetano-Anollés and Caetano-Anollés, ) levels of structural abstraction. Figure 2 shows an example of such a tree, with branch lengths indicating change in domain abundance and branch leaves representing all domains that are known. The tree is rooted and its topology determines the evolutionary age of each domain. Correlation of node position in the tree with other data for dating structures shows that a molecular clock exists (Wang et al., 2011). Thus, the age of each domain can be placed in a true chronological timeline that spans ~3.8 Gyr (billions of years), assuming all domains follow the clock-like pattern. While this may not be true for all domains (the clock may tick differently for different domain groups), the general pattern holds for the entire set of domains (Wang et al., 2011). Distributions along the timeline show a clear biphasic pattern of diversification in the rate of appearance of FSFs (Figure 2B), the rate of appearance and sharing of FSFs in Gene Ontology categories (Caetano-Anollés et al., ), the number of functions in single and multidomain proteins that are encoded in human and plant genomes (Wang and Caetano-Anollés, 2009), the number of FSFs per fold (Caetano-Anollés et al., ), the number of FFs per FSF (Kim and Caetano-Anollés, ms. in preparation), and the abundance of genes per corresponding domains (Nasir and Caetano-Anollés, ms. in preparation).
Figure 2
How can we explain these patterns? Consider structural variants of FSF domains that are produced by mutation of protein-coding genes, often after duplication and divergence of a coding region. The most primitive FSFs must have been formed with high propensity (were highly favored in an energetic landscape), performing few functions with low speed and catalytic specificity. The cytosolic content of cells is by definition far from an ideal solution, tightly packing proteins, nucleic acids, and other macromolecules (Ellis,
During competitive optimization parts link to form modules, which then may diversify in various ways (Caetano-Anollés et al.,
Linkage among parts increases during physical phase transitions such as crystallization and magnetization. Eigen (
The second phase of FSF diversification proceeded with divergence of the three superkingdoms of life (Wang et al., 2007; Wang and Caetano-Anollés, 2009). A “big bang” of architectural innovation in Eukarya and Bacteria may have resulted from novel functional niches and novel processes for generating new FSFs. Wang and Caetano-Anollés (2009) proposed that during the second phase, an explosion of combinations of domains in proteins resulted from novel genomic rearrangement mechanisms, perhaps mediated by chromosomal recombination, intronic recombination of domain-encoding exons and faulty excision of introns, domain insertion and deletion at C and N termini, retrotransposition, and “exonization” of intron sequences. While the appearance of novel proteins enabled these processes, it is evident that the protein landscape increased significantly its diversification potential (Wang and Caetano-Anollés, 2009).
As modules emerged in molecules, cellular organization became more and more modularized, with cellular machinery being constructed from the molecular modules. Modularization of cellular architecture facilitated multicellular organization. The advent of multicellularity provided novel functional niches for FSFs. After the minimum rate of FSF generation was reached, cells formed a plethora of multicellular organisms through modifications of embryogenesis, with accompanying elaboration of diverse proteins involved in cell–cell communication (recognition, affinity, signaling, and defense; Caetano-Anollés and Caetano-Anollés,
Thus the linkage hypothesis can explain a biphasic pattern of FSF diversification. Competitive optimization among a diversifying set of interacting proteins produced a module, the network of protein-mediated processes in ancestral cells. In these cells new possibilities for diversification arose and were used. As we will now show, the linkage hypothesis can explain evolutionary patterns in individual macromolecules.
Competitive optimization of the shapes of macromolecules
A macromolecule evolves through a biphasic distribution of molecular shapes. For example, Ancel and Fontana (
For macromolecules, a free energy landscape characterizes the kinetics of folding along a morphogenetic trajectory. In this landscape a canalized sequence has low barriers among many shapes with a relatively high minimum free energy (Figure 3). Folding proceeds down a funnel to a single shape with low minimum free energy, the target or native shape. The minimum free energy of a macromolecule's shape corresponds to the linkage within it, the extent of bonding among its monomers. Thus, from an initial diversity of plastic shapes, sequences and morphogenetic trajectories, selection funnels RNA sequences in a genetic neighborhood to the favored target shape, which has a low free energy and high linkage. This shape is a robust module. Although, the target shape is insensitive to point mutation, it is evolvable; subsequent diversification of sequences and shapes may occur through recombination or under new selection pressures. Wagner (2008) showed that robustness and evolvability, suitably defined, can be synergistic. Aiding this second phase of diversification, the canalized shape is modular, in the sense that it contains context-insensitive submodules that can evolve relatively independently of each other.
Figure 3

Evolution of molecular shapes. (A) Barrier trees describing the low energy portion of the free-energy landscape of a naturally evolved molecule, let-7-a-1, a micro RNA stem loop from zebrafish (Danio rerio) that is 89 nt long (Chen et al.,
It is likely that this scenario also describes the evolution of proteins. Models of protein folding show that typically the native shape is relatively insensitive to mutations, and a free energy funnel directs folding to this shape, which is robust to environmental change (Taverna and Goldstein,
Figure 4

Evolution of biphasic patterns. The cartoon illustrates a network of biphasic patterns of diversification of FSFs as the network of structures evolves in time. The horizontal axis represents time and the vertical axis represents diversity. Each small hourglass describes the evolution of a different FSF, through convergence from more to fewer variants of the FSF, with subsequent diversification of its variants. For each small hourglass, the latter phase of diversification continues to the present, though this continuation is not shown in the cartoon. The extent of convergence and divergence, and the temporal scale, may vary among small hourglasses (not shown). Since, this interplay of diversity and time defines a multidimensional landscape it is difficult to visualize. Moreover, fewer small hourglasses are shown than the thousands of actual FSFs. In the circle, three labeled small hourglasses are enlarged to show that FSF2 and FSF3 originate from FSF1. All small hourglasses have evolved from the left-most one, but the only origins shown are those indicated by arrows in the circle. Arrows represent wander sets of protein sequences diffusing by mutation in a multidimensional space of protein sequences with random walks resulting in the origination of a new FSF. During the first phase of the new small hourglasse, the initial mutant form is elaborated into variants—a widening diversity not shown. These variants compete for the same functional niche, so their diversity decreases toward the narrow neck of the hourglass. After this neck, variants can diversify because they can occupy other niches. Collectively, the small hourglasses form a biphasic pattern which represents the biphasic pattern of FSF appearance shown in Figure 1B.
Competitive optimization in the evolution of networks
Networks of macromolecules underlie the operation of cells and organisms. We now discuss how competitive optimization may have helped to generate two intracellular networks, metabolism and coding in translation, and multicellular networks in the development of embryos and in epigenetics.
Competitive optimization in the very early evolution of metabolism
Alternative networks that perform the same function, some better than others, may evolve and compete to optimize functioning. For example, Wächtershäuser (1990) and Morowitz (
The cycle is autocatalytic in that it produces more of its own intermediates; running the cycle with carbon dioxide and one succinate molecule produces two succinates. Thus, alternative uses of the cycle's intermediates are possible, allowing a new phase of diversification (Mittenthal et al.,
Competitive optimization in the evolution of codes
Codes are biases that exist in systems. There are many biological codes (Barbieri,
Thus, a positive feedback loop evolved in which lateral gene transfer promoted more similar and better-functioning codes and translation mechanisms, and vice versa. This loop promoted autocatalytic growth of communities. Sharing between cells of a community tended to standardize interactions within and among the cells' subsystems. The accuracy of translation and replication increased. The complexity and specificity of linkages within cells increased, in a process resembling crystallization. Tight linkage made subsystems resistant to further modification through lateral transfer of molecular information. Rates of mutation decreased. Thus, vertical inheritance could become the predominant mode of transmission. A Darwinian transition occurred, from collective evolution within communities of cells to species of cells evolving largely in parallel. A biphasic pattern is evident here—cells share diversifying parts, but competition among communities leads to standardization and increased linkage of parts. Consequently a new phase of diversification becomes possible: distinct lineages with limited interaction through lateral transfer arose and now embody a universal tree of cellular life.
This pattern of cellular evolution is coupled to the biphasic pattern of FSF evolution. As proteins evolved, the growing set of FSFs would have included proteins that could improve protein synthesis, speeding the more efficient generation of proteins, which folded more efficiently but were also more diverse. It is noteworthy that the translation machinery underwent a kind of crystallization at the peak of the first phase of FSF diversification (Caetano-Anollés et al.,
Competitive optimization in the evolution of development and epigenetics
In the development of an embryo, linkage is manifest in the connectivity of signaling networks, gene regulatory networks, and networks of interacting proteins. These change the state of differentiation and aggregation of macromolecules and cells to build the structure of the embryo. Kirschner and Gerhart (
Such reorganization is evident in the response of organisms to a new selection pressure. Throughout embryogenesis, canalization stabilizes the normal development of tissues and organs within a range of genetic or environmental variations. A new selection pressure may elicit diverse changes in development within the physiological repertoire of the embryo. Some of these changes may be adaptive, increasing fitness under the new selection. If this pressure is sustained, organisms with genomes altered by mutation and reassortment of genes will compete to generate an adaptive modification as standard equipment. After selection the novelty may still develop without the perturbation (Waddington, 1942; McLaren,
The evolution of modified organs under perturbation suggests that organs may have evolved initially through cooption of core processes into new modules. Larval organs may be coopted piecemeal from a direct developmental pathway, initially as facultative variations but later as a constitutive pathway with metamorphosis after the larval stage (Sly et al.,
Some transgenerational epigenetic changes may have evolved through competitive optimization, in ways analogous to changes in development. A new selection pressure, within an organism or from outside it, might encourage alternative epigenetic ways to deal with that pressure. These could diversify, be refined, and combine to give a new module for dealing with the pressure. Structural templating in prions is epigenetic, though not heritable. A prion may evolve when a change in selection pressure favors a physiological response that previously was atypical. Mutations of a protein that promote this response may stabilize an alternative configuration of the protein (Schmitt-Ulms et al.,
Discussion
We have proposed a linkage hypothesis to explain the existence of biphasic patterns of diversification in evolution. If a part starts to perform a function that increases the fitness of a system (e.g., an organism), variants of the part diversify. Competition among variants with optimization of functioning restricts the set of surviving parts. These parts are linked in modules and regulatory circuits that promote robust functioning. The modules are available for reuse in new variants and combinations, allowing a second phase of diversification.
Competitive optimization includes both variation and selection and is broader in concept than natural selection. A change in the environment may stimulate variation through mutation and reassortment of genes; unstimulated variation also occurs. Variants may self-organize, as in folding of proteins and nucleic acids, associations among macromolecules, and morphogenesis of embryos (Newman and Comper,
Competitive optimization may mediate the evolution of innovations—the coalescence of frozen accidents characteristic of biological organization. We have offered examples at the molecular, cellular, and developmental levels; many other major transitions occurred at these levels (Szathmáry and Smith,
Linkage hypotheses for developmental and evolutionary biphasic patterns
A biphasic pattern of diversity—an hourglass—often occurs in development: the embryos of a taxon are more similar at a phylotypic stage than earlier or later (Slack et al.,
Sander (
Such a developmental hourglass operates once in the lifetime of each organism. A developmental hourglass can also occur at the cellular level, repeated in each cell cycle. In prophase, pairs or tetrads of condensed chromosomes are diversely distributed within a cell. Microtubules gather the chromosomes onto a metaphase plate, a relatively invariant structure. Subsequent events are diverse—homologous chromosomes or sister chromatids may separate; a cell may cleave to two daughters or remain uncleaved.
Cells bring each chromosome to an equivalent position through exploratory behavior of microtubules, as Kirschner and Gerhart (
Note that a developmental hourglass need not evolve through competitive optimization. Kirschner and Gerhart (
The linkage hypothesis for developmental hourglasses initiated our linkage hypothesis for evolutionary hourglasses, so it is important to clarify relations between these hourglasses. In an evolutionary hourglass, a biphasic change in the rate of diversification occurs only once in the entire course of evolution. However, a developmental hourglass recurs once in each developing embryo or cell cycle. A behavioral hourglass may occur once or repeatedly in the life cycle of an organism. A developmental hourglass bundles the diverse developmental trajectories of a group of related embryos. By contrast, an evolutionary hourglass simply tallies the number of parts existing at a sequence of times, without presenting trajectories between the parts. In both kinds of hourglasses, exploration among alternatives may occur during diversification. In both kinds, the spatial distribution of diversification may be wide during the early phase, but regionally localized in the late phase; an example of the latter in an evolutionary hourglass is the formation of localized modules within evolving RNA molecules (Ancel and Fontana,
Other interpretations of biphasic diversification
In the competitive optimization hypothesis, variants of a structure compete for a finite set of functional niches. Competition limits the rate at which new variants survive, ending the first phase in a biphasic pattern. This rate might also be limited because the set of possible variants is limited, and the process of diversification exhausts the set. After the first phase, new processes of mutation might evolve to enlarge the set and allow further diversification. Exhaustion may have contributed to the biphasic pattern of FSF diversification, along with competitive optimization. The rate at which biologists have found new FSFs suggests that there are only a few thousand of them (less than 3400 FSFs; Levitt,
A biphasic pattern of evolutionary diversification might result from causes endogenous or exogenous to organisms. A decline in the rate of FSF generation may have resulted from processes endogenous to cells—competition among FSFs for functional niches and selection pressure for cooperation—but also from competition among cells for resources. A bottleneck—a major restriction in diversity—can occur without formation of a module if the environment of a diversifying population undergoes a major change. The survivors will initially display less diversity than their predecessors, though they are likely to diversify subsequently. Well-known examples include the diversification of dinosaurs after the post-Permian extinction 0.25 Gyr ago and of mammals after the post-Cretaceous extinction 0.065 Gyr ago.
An exogenous factor, the increase in atmospheric oxygen resulting from photosynthesis, may have reduced the rate of FSF diversification after its first peak, 2.6 Gyr ago. This decline occurred as the atmospheric oxygen level was increasing above 0.1% of the present atmospheric level (PAL). The increase to 1% PAL was probably gradual over roughly 400 million years, from about 2.9–2.45 Ga ago (Wang et al., 2011). During this interval oxygen would have been toxic to many species, decreasing their production of new FSFs while giving new opportunities for new FSF alternatives.
A sufficiently sudden and severe exogenous stress extinguishes many species, opening niches for new diversification. A more gradual stress imposes selection pressures that can increase linkage in the survivors, allowing a new integration of evolving diversity. The increase in oxygen level provided challenges and opportunities through which more complex cells evolved. Many metal-binding FSFs evolved (Dupont et al.,
Limitations, alternatives, and tests for the linkage hypothesis
Several hypotheses may explain an evolutionary hourglass. In our linkage hypothesis, competition among diversifying parts increases linkage among surviving parts, which form a module. Later the module may diversify and be used in diverse contexts. There are alternative hypotheses: Modules can evolve without selection as well as under indirect or direct selection (Wagner et al., 2007). Diversification preceding the formation of a module may be unrelated to its formation, as discussed for developmental hourglasses. A bottleneck in diversity can occur without formation of a module if the environment changes greatly.
It is desirable to distinguish among these alternatives. Testing might occur through in vitro evolution of macromolecules or in vivo evolution of cells, sometimes in synthetic biology settings. It is also desirable to predict the circumstances in which alternative processes are likely to generate an hourglass. Increasing linkage may accompany diversification in some situations, but not others; what determines the correlation? To address this issue, knowledge of mechanisms producing diversification and linkage is necessary. Various mechanisms can produce an hourglass. Dynamical models for mechanisms, explored with analysis and computer simulation, could relate mechanisms to outcomes. Models could show more explicitly how competitive optimization occurs, and systematize and rationalize its occurrence.
To test a linkage hypothesis it is necessary to formalize the concept of linkage. In a network where nodes represent parts, the extent and pattern of connectivity among nodes provides indices of linkage. One can also quantify the information in the system beyond the information in its parts, and so measure how much the state of each part affects the state of other parts (Tononi,
Conclusion
Understanding patterns of evolutionary change is challenging. In this paper we suggest that biphasic patterns of diversification can evolve through competitive optimization. In this process, diversifying variants of a system converge under selection to a cohesive unit, a module, which subsequently diversifies. Thus, unification occurs through diversification and provides the basis for subsequent diversification. We believe this process occurred widely, in the evolution of macromolecules, networks, cells, and multicellular development, and may still be generating hierarchical complexity in life. Future modeling and data mining endeavors can test this hypothesis and assess its place in the physics of systems far from equilibrium.
Conflict of interest statement
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Statements
Acknowledgments
We appreciate helpful discussions with Elbert Branscomb and ongoing support from the National Science Foundation (MCB-0749836 to Gustavo Caetano-Anollés). Any opinions, findings, and conclusions and recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the funding agency.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
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Summary
Keywords
diversification, biphasic hourglass, linkage, competitive optimization, module
Citation
Mittenthal J, Caetano-Anollés D and Caetano-Anollés G (2012) Biphasic patterns of diversification and the emergence of modules. Front. Gene. 3:147. doi: 10.3389/fgene.2012.00147
Received
22 May 2012
Accepted
19 July 2012
Published
07 August 2012
Volume
3 - 2012
Edited by
Firas H. Kobeissy, University of Florida, USA
Reviewed by
Nehme Hachem, AUB, Canada; Bilal Fadlallah, University of Florida, USA
Copyright
© 2012 Mittenthal, Caetano-Anollés and Caetano-Anollés.
This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in other forums, provided the original authors and source are credited and subject to any copyright notices concerning any third-party graphics etc.
*Correspondence: Gustavo Caetano-Anollés, Evolutionary Bioinformatics Laboratory, Department of Crop Sciences, University of Illinois at Urbana-Champaign, 1101 W. Peabody Drive, Urbana, IL 61801, USA. e-mail: gca@illinois.edu
This article was submitted to Frontiers in Systems Biology, a specialty of Frontiers in Genetics.
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