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Punctuated equilibria remains the dominant pattern of morphospecies origin in the fossil record: an analysis using the “persistence of ancestor” criterion

Published online by Cambridge University Press:  01 August 2025

Brendan Matthew Anderson*
Affiliation:
Paleontological Research Institution, Ithaca, New York 14850, U.S.A.
Warren D. Allmon
Affiliation:
Paleontological Research Institution, Ithaca, New York 14850, U.S.A.
*
Corresponding author: Brendan Matthew Anderson; Email: bma53@cornell.edu

Abstract

Punctuated equilibria (PE) was presented 50 years ago as an alternative to the widespread assumption that most evolution proceeds by gradual phyletic change within lineages. Unfortunately, PE has been widely misunderstood, misrepresented, and unfairly dismissed since this first publication. We argue that much of this misunderstanding centers around a misinterpretation of the meaning of “mode” in evolution, and its significance, properly understood, for how we understand macroevolutionary processes. PE proposed that most morphospecies do not show significant anagenetic trends through their stratigraphic ranges, and that most new morphospecies that are recognized arise via cladogenesis. To the degree that this is true, most exploration of disparity space must be associated with cladogenesis.

We surveyed a sample of the recent paleontological literature to assess the frequency with which new morphospecies appear in the fossil record via anagenesis versus cladogenesis using a persistence of ancestor criterion and found the overwhelmingly dominant mode of species origin to be cladogenesis. This is a valuable but underutilized approach to this problem, which could be exploited with more studies of species-level phylogenies of fossil taxa. Combined with the conclusions of other studies that stasis or nondirectional change is common, this finding of the dominance of cladogenesis affirms that PE is very much alive and of substantial significance for understanding macroevolutionary patterns.

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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Paleontological Society
Figure 0

Figure 1. An illustration of a hypothetical fossil record where most morphospecies arose via anagenesis. A, The evolutionary history of a group as recorded in the rock record. For simplicity each species (labeled A–G) is represented as in stasis and occupying a distinct portion of morphospace. Thin black lines represent genetic connections unrecorded at the level of resolution of the fossil record. Inferred evolutionary mode is noted at the origin of each morphospecies. In this case four to five species arose by anagenesis and one to two species arose via cladogenesis. B, A cladogram corresponding to the history recorded in A. Note that if C evolved into both B and D, then the position of C in the polytomy is not a result of failure of resolution, but due to C actually being equally related to clade A–B and clade D–E–F.

Figure 1

Figure 2. A schematic of different patterns (“models”) of tempo and mode that may be observed in the fossil record. A, Phyletic gradualism: A lineage moves through morphospace, and intermediate forms (gray) are difficult to assign to either named morphospecies at the beginning or end of the lineage’s history. B, Punctuated anagenesis: Morphospecies 1 is in stasis, then moves rapidly through morphospace to a new position that is easily distinguished and is named morphospecies 2, but no cladogenesis took place. C, Punctuated equilibria (PE): Little morphological change takes place at cladogenesis. Species 2 rapidly appears (at the level of resolution of the analysis depicted, it may appear to arise in a single time step), co-occurs in time with its ancestor, and both species do not exhibit substantial net change through their respective histories. Cladogenesis is not associated with a categorically larger step in morphospace than between time steps for either lineage during its period of stasis. D, PE: The cladogenetic event was also associated with unusually large morphological change. E, A case where cladogenesis occurs, but most morphological change in each lineage occurs independent of speciation. In this example, each species (color-coded) is distinguished by a feature other than the feature represented on the morphology axis. While species 2 may not have undergone significant displacement in morphospace through its history, species 1, 3, and 4 and the clade as a whole have consistently moved through morphospace independently of cladogenetic events. This is an example where PE is not the model that best fits the pattern observed, because stasis is not the dominant pattern of morphological evolution for each species. Instead, each species is displaced in morphospace more along its own evolutionary history than any movement in morphospace at the time of speciation.

Figure 2

Table 1. Clades examined in our relative frequency analysis looking for the mode of morphospecies origins. For each, the minimum number of species arising via cladogenesis using a persistence of ancestor criterion is presented (the maximum number of ambiguous cases in each tree due to phylogenetic uncertainty are resolved as cases of anagenesis). (The following terminals were ignored because they were out of the time frame of investigation for the included study, they were missing stratigraphic information, or the text indicated potential synonymy of material included as a terminal was possible: Alvarez and del Rio [2020], R. ninfasiensis; Becker et al. [2013], species of Stephanorhinus and Ceratotherium, which were not included by Becker et al. [2013] in the presented phylogeny, did not have accompanying stratigraphic information; Kligman et al. [2021], multiple extant Sphenodon taxa; Tabuce et al. [2020], Numidotherium sp. material.)

Figure 3

Figure 3. Alternative ways clades may have explored morphospace through deep time. A, Phyletic gradualism. Movement through morphospace primarily takes place anagenetically, and the overall trend is a result of a directional trend present in the majority of each constituent lineage’s evolutionary history. B, A clade where the clade is in overall stasis because species approximate stasis and speciation is both non-directional and not associated with substantial displacement in morphospace. C, A clade that is exhibiting increased variance, but no net change in morphology, where most evolution takes place through phyletic gradualism. D–G, Cases showing punctuated equilibria (PE). Note that while the lineage histories are shown as solid lines these represent lineages exhibiting minor fluctuations about a mean morphology or non-directional change, and in these depictions, speciation events take place over timescales below the resolution of analysis. D, A clade exhibiting increased variance, but overall stasis in average position in morphospace, where PE is the pattern of morphological evolution. Each lineage may exhibit fluctuations through time under close examination, but no net change is observed. Note that cladogenesis is the dominant mode of species origination, as determined by persistence of ancestor. E, A clade-level morphological trend generated under PE due to a bias in the direction of species origination only. Where cladogenesis occurs in this case, it is more likely that the descendant lineage occupies a position in morphospace to the right of the ancestor rather than to the left. F, A clade-level trend generated under PE due to increased rates of extinction (shorter species durations) in one portion of the tree. G, A clade-level trend generated by increased rates of speciation in one portion of the tree. The original mean state is demarcated by the dotted gray line. In this case, assessing the proportion of species on the right side of the line vs. the left would result in increasing proportions of species having the state on the right side of the line being documented through time, even though rates of extinction on the left are not higher (a ratio of 7 to 2 at the final time point recorded).