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Quantifying the rise of animals during the Ediacaran–Cambrian using ichnodissimilarity

Published online by Cambridge University Press:  10 December 2024

Zekun Wang*
Affiliation:
Natural History Museum, London SW7 5BD, U.K.
Imran A. Rahman
Affiliation:
Natural History Museum, London SW7 5BD, U.K. Oxford University Museum of Natural History, University of Oxford, Oxford OX1 3PW, U.K.
Li-Jun Zhang
Affiliation:
Institute of Resources and Environment, Collaborative Innovation Center of Coalbed Methane and Shale Gas for Central Plains Economic Region, Henan Polytechnic University, Jiaozuo, China
*
Corresponding author: Zekun Wang; Email: [email protected]

Abstract

The trace fossil record provides important insights into the evolution of early animals during the Ediacaran/Cambrian transition, with changes in ichnodiversity through time and between environments informing on the diversification of major body plans, behaviors, and niches. To quantify variation in the diversity of trace fossils across this critical interval, we propose a measure of trace fossil dissimilarity (ichnodissimilarity) based on vector calculation. Furthermore, by comparing discrepancies between the angular bisector and mean vector of two sets of vectorized fossil data, we are able to weigh the relative contribution of increases and decreases in the variation of occurrences of taxa. We used this metric to analyze an expansive dataset of Ediacaran/Cambrian trace fossils. The results allowed us to quantify the diversification of traces across this transition, informing on the timing of first appearance of different behaviors (e.g., foraging, grazing, and resting) and functional groups. By interpreting the results in the context of environmental changes and advancements in motility and sensory capabilities, we were able to pinpoint the onset and sequence of the Fortunian diversification event, Cambrian information revolution, and agronomic revolution, shedding light on the evolution of organismal body plans, behaviors, and locomotion during the Ediacaran/Cambrian transition. We identified two phases of origination and expansion during the divergence of early animal traces. Furthermore, by analyzing shallow- and deep-marine trace fossils, we were able to uncover evidence for a more rapid diversification of traces in shallow-marine environments, with progressive niche partitioning through the Ediacaran to Cambrian.

Type
Article
Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press on behalf of Paleontological Society

Non-technical Summary

The trace fossil record provides key insights into the evolution of early animals during the Ediacaran/Cambrian transition. By examining the diversity of these fossils, we can understand how early animal behaviors and body plans developed. We introduced a new mathematical method based on vectors to measure differences in trace fossil diversity. Using this method, we analyzed a large dataset of trace fossils and discovered the timings of important evolutionary events. Our findings show that early animals diversified in two stages and more quickly in shallow-marine environments and gradually specialized their ecological roles.

Introduction

The Ediacaran (~635–541 Ma) to Cambrian (~541–485 Ma) periods document critical steps in the earliest evolution of complex animal life. During this interval, almost all the major groups of modern animals appeared and diversified. This emergent phenomenon (Artime and De Domenico Reference Artime and De Domenico2022) is thought to reflect complex nonlinear interactions between new macroscopic multicellular life-forms and the environment. However, the body fossil record from this time span (especially the Ediacaran) is patchy and depends on narrow preservational windows (Mángano and Buatois Reference Mángano and Buatois2014), which handicaps study of this fundamental evolutionary radiation. Therefore, trace fossils provide an alternative and complementary record of how early animals interacted with their environments. Trace fossils are thought to document the first appearance of bilaterian animals (Gehling et al. Reference Gehling, Runnegar and Droser2014; Mángano and Buatois Reference Mángano and Buatois2016; Chen et al. Reference Chen, Zhou, Yuan and Xiao2019), with some traces like Cruziana appearing earlier than their putative tracemakers (Antcliffe et al. Reference Antcliffe, Callow and Brasier2014). Moreover, Treptichnus pedum marks the GSSP for the Ediacaran/Cambrian boundary (Buatois Reference Buatois2018). Consequently, the ichnological record can provide very valuable insights into ancient ecosystems and environments during this critical interval, informing on major changes in biodiversity (Buatois and Mángano Reference Buatois and Mángano2018), including evolutionary radiations and extinctions (Mángano and Buatois Reference Mángano and Buatois2016).

Among these evolutionary events, the divergence of metazoans across the Ediacaran and Cambrian is uniquely profound. It is believed that one of the important factors associated with the Cambrian explosion and the initial diversification of animal phyla is the fundamental change in the nature of the seafloor from Neoproterozoic-style substrates with microbial mats and limited bioturbation to Phanerozoic-style unconsolidated soft substrates with a well-developed mixed layer (Mángano and Buatois Reference Mángano and Buatois2014, Reference Mángano and Buatois2016). This shift in the complexity and heterogeneity of the substrate, termed the “agronomic revolution” (AR; Seilacher and Pflüger Reference Seilacher, Pflüger, Krumbein, Peterson and Stal1994), is believed to have had a significant impact on the evolution of motility and feeding behaviors in early animals (i.e., the Cambrian substrate revolution), driving them to develop new strategies for moving across and through the seafloor and locating and capturing food, some of which are recorded in the trace fossil record. Consequently, studying Ediacaran and Cambrian trace fossils can help elucidate the pattern and process of this major evolutionary episode. However, to accurately quantify the diversification of these early traces, an advanced mathematical tool that can effectively and precisely pinpoint changes in the ichnological record is first required.

A typical approach to quantifying the diversification of traces produced by different behaviors and tracemakers on various substrates is to examine ichnodiversity. This usually entails simply counting the number of ichnogenera that can be identified at a particular site (Mángano and Buatois Reference Mángano and Buatois2016). However, this measure of alpha diversity may be inadequate when comparing the differences between two sites over an environmental gradient or through time. As a result, the concept of beta diversity (Whittaker Reference Whittaker1960), which measures differences in diversity between sites, has also been used in ichnology (Mángano and Buatois Reference Mángano and Buatois2016); in broader terms, beta diversity can be seen as a kind of dissimilarity. Although the dissimilarity of trace fossils (ichnodissimilarity) does not necessarily equate to differences in the diversity of the tracemakers, this measure can help us uncover how organism body plans and behaviors changed during major evolutionary radiations and mass extinction events. Ichnodissimilarity is therefore a potentially important tool for studying the early history of life.

Valuable though this metric is, quantitative definitions of dissimilarity are often simple and rough. The measure of beta diversity that is most commonly used in ichnology (Chao et al. Reference Chao, Chazdon, Colwell and Shen2005) is defined as:

(1)$$ {\rm \beta} = \left({\matrix{ {N_1-S_{12}} \cr } } \right) + \left({\matrix{ {N_2-S_{12}} \cr } } \right), \;$$

where β is the beta diversity/dissimilarity, equivalent to the “absolute species turnover”; N 1 and N 2 are the total numbers of species (or genera) at site 1 and site 2, respectively; and S 12 denotes the number of shared species (genera) between the two sites.

This definition is unnormalized and, to some extent, case dependent. It is therefore difficult to compare different studies/sites. Alternative definitions of beta diversity proposed by Whittaker (Reference Whittaker1960; Jost Reference Jost2007) and McArthur et al. (Reference McArthur, Recher and Cody1966) that are widely used in ecology do not rely on simply counting numbers of species, but instead depend on alpha and gamma diversity (Ricotta Reference Ricotta2017) and are incapable of taking details of each observation into account (e.g., weighting by the number of each observation). These are sometimes termed “true” beta diversities (Beck et al. Reference Beck, Holloway, Schwanghart and Orme2013). A third kind of measure is the pairwise dissimilarity calculated by comparing relative abundances species by species, such as the Horn overlap and the Morisita-Horn index (Horn Reference Horn1966). However, these indexes cannot establish which species diversity is larger between the two observations, nor do they allow us to identify whether dissimilarity is caused by presence or absence of new/more species. Moreover, there is also a computational bias in the dissimilarity calculated by the Morisita-Horn index, which will be discussed later.

Orloci (Reference Orloci1967) proposed a vector-based method to calculate the dissimilarity between two communities, wherein each element in the vector represents a species, and the length of the chord between the two vectors is used to define dissimilarity. The chord distance can be scaled within the range between 0 and 1 for easier interpretation (Conde and Domínguez Reference Conde and Domínguez2018). Similarly, taking the cosine of the angle between the two vectors is another simple way of defining this measure (Cheeyham and Hazel Reference Cheeyham and Hazel1969). However, there is a disadvantage in using this approach when calculating dissimilarity, because cosine does not obey the law of addition, which means it cannot be directly decomposed into components related to increase or decrease of taxa and their abundance.

Herein, we present an alternative measure of dissimilarity based on vector theory using the exact angle between two normalized vectors instead of cosines. By comparing discrepancies between the angular bisector and mean vector, we can weigh the relative importance of increases and decreases in the variation of taxonomic occurrences. We can therefore define a ratio between the split angles that describes the balance of turnovers, informing on the main driver underlying any obtained dissimilarities. We use this metric to quantify the evolution of benthic communities across the Ediacaran–Cambrian interval based on the trace fossil record. Traces representing typical functional groups (e.g., epifaunal bioturbators, surficial modifiers, regenerators, conveyors, and biodiffusors) and behaviors (e.g., agrichnia, domichnia, pascichnia, and repichnia) are studied, with their variation through time analyzed. The distribution and evolution of traces across environmental gradients are also investigated for this critical interval (Bottjer et al. Reference Bottjer, Hagadorn and Dornbos2000).

We first introduce the definition of our measure of dissimilarity, including both 1/0-based and probabilistic calculations, and propose the “balance index for occurrences” and the “balance index for origination and extinction.” We then provide a comparison between the dissimilarity index and existing measures and undertake a convergence study. Finally, we apply the proposed metric to the trace fossil record in order to quantify the variance of behaviors and functional groups in response to environmental change during the Ediacaran and Cambrian periods.

Methods: Vector Calculation and Dissimilarity

Basic Formulation

If we assume there exists an extremely large vector that can house all species, with each species represented by a certain value, then this vector becomes a coordinate that can indicate the diversity of a community in terms of the whole ecosystem. The direction of the vector is determined by both abundance and combination of the species.

Mathematically, the simplest way to estimate the difference between two vectors is to calculate the angle between them. Based on this, it is possible to define the dissimilarity, as we demonstrate here.

If one denotes the values in the vector as 1 for represented species (species found at the community/site) and 0 for non-represented species in the aforementioned coordinate, then the two coordinates representing each site (V1 and V2) can be expressed as:

(2)$${\bf V}_1 = ( \underbrace{{1, \;1, \;1, \;1, \;1}}_{{s_{12}}}, \;\underbrace{{1, \;1, \;1, \;1}}_{{N_1-S_{12}}}, \;\underbrace{{0, \;0, \;0}}_{{N_2-S_{12}}}) , \;$$
(3)$${\bf V}_2 = ( \underbrace{{1, \;1, \;1, \;1, \;1}}_{{S_{12}}}, \;\underbrace{{0, \;0, \;0, \;0}}_{{N_1-S_{12}}}, \;\underbrace{{1, \;1, \;1}}_{{N_2-S_{12}}}) .$$

The order of the numbers in these coordinates does not influence the value calculated through the dot product. It is therefore recommended that each coordinate be divided into three sections for convenience of visualization, as in equations (2) and (3): shared species, species only present in the first community, and species only present in the second community.

Based on this, it is possible to calculate the angle between the two vectors (θ):

(4)$${\rm \theta} = \big \langle{\bf V}_1, \;{\bf V}_2 \big \rangle = {\rm co}{\rm s}^{{-}1}\displaystyle{{{\bf V}_1\cdot {\bf V}_2} \over {\vert {{\bf V}_1} \vert \vert {{\bf V}_2} \vert }} = {\rm co}{\rm s}^{{-}1}\left({\mathop \sum \limits_{n = 1}^{N_1 + N_2-S_{12}} \displaystyle{{V_{1, n}V_{2, n}} \over {\vert {{\bf V}_1} \vert \vert {{\bf V}_2} \vert }}} \right) = {\rm co}{\rm s}^{{-}1}\displaystyle{{S_{12}} \over {\sqrt {N_1N_2} }}, \;$$

where n is the nth component of the vectors, magnitude of V1, $\vert {{\bf V}_1} \vert = \sqrt {N_1\cdot 1^2} = \sqrt {N_1}$, and $\vert {{\bf V}_2} \vert = \sqrt {N_2}$. As no components of the coordinate can be negative (V 1,n ≥ 0, V 2,n ≥ 0), naturally, ${{S_{12}} \over {\sqrt {N_1N_2} }}\in [ {0, \;1} ]$, and especially for two identical communities (S 12 = N 1 = N 2), ${{S_{12}} \over {\sqrt {N_1N_2} }} = 1$. This coefficient within the above inverse trigonometric function is termed the Otsuka coefficient (Peters Reference Peters1968), and when it falls in the interval [0,1], the range of this inverse trigonometric function should be [0, π/2], that is, θ ∈ [0, π/2]. To make this concept more readily understandable, the angle is further normalized by π/2, and we define this parameter as a new dissimilarity D:

(5)$$D = \displaystyle{{2 {\rm \theta} } \over {\rm \pi} } = \displaystyle{2 \over {\rm \pi} }{\rm co}{\rm s}^{{-}1}\displaystyle{{S_{12}} \over {\sqrt {N_1N_2} }}.$$

Therefore, for two communities with adequate numbers of represented taxa (e.g., totaling at least on the order of 10), if there are no shared species between the communities, the two vectors are orthometric, and D = 1. In contrast, if all the species from the two sites are identical, then S 12 = N 1 = N 2, and D = 0. In other words, dissimilarity becomes evident as the value of D approaches 1, whereas similarity manifests as it approaches 0. However, great care should be exercised if the two vectors are extremely sparse (i.e., if the total number of observations is very small, or many species are underrepresented), as their orthogonality (D = 1) might be a false indicator. This holds true for any kind of definition of dissimilarity. Nevertheless, in normal cases with a sufficient number of samples, D can genuinely reflect the variation in species diversity along an environmental or spatial gradient.

A Statistical Expression with Consideration of Species Abundance

In the above definition of dissimilarity, whether a species exists or not is only roughly defined by 1 or 0. For improved accuracy, we can define the values in a coordinate with the statistical parameter pi, taking into account the abundance of each species. Under different scenarios, this statistical parameter can have different meanings (but comparisons must be made at the same scale). For example, pi could be:

  1. 1. The number of times n i (or frequencies f i = n i/N, where N is the total number of observations) that species i is represented in the case. Due to the normalization process involved in our calculation of dissimilarity (i.e., eqs. 4 and 5), the results calculated with n i and f i are the same (direction of the coordinate stays unchanged during normalization). In this way, the abundance of the species is considered.

  2. 2. The number of species belonging to genus i that exist at a certain site (n i). Similarly, one could also use its frequency f i to compute the dissimilarity, where f i = n i/N i, with N i being the total number of species that this genus has within a certain large-scale scenario (e.g., a continent or geological time period).

This statistical parameter can also be endued with a probability of existence within a hierarchical relation (i.e., the diversity of existing species within the same genus or the diversity of existing genera within the same family). Based on this, for two different sites, the coordinates can be written as:

(6)$${\bf V}_1 = ( {\underbrace{{\,p_{1, 1}, \;p_{1, 2}, \;\ldots , \;p_{1, S_{12}-1}, \;p_{1, S_{12}}}}_{{S_{12}}}, \;\underbrace{{\,p_{1, S_{12} + 1}, \;\ldots , \;p_{1, N_1}}}_{{N_1-S_{12}}}, \;\underbrace{{0, \;0, \;0}}_{{N_2-S_{12}}}} ) , \;$$
(7)$${\bf V}_2 = ( {\underbrace{{\,p_{2, 1}, \;p_{2, 2}, \;\ldots , \;p_{2, S_{12-1}}, \;p_{2, S_{12}}}}_{{S_{12}}}, \;\underbrace{{0, \;0, \;0}}_{{N_1-S_{12}}}, \;\underbrace{{\,p_{2, S_{12} + 1}, \;\ldots , \;p_{2, N_2}}}_{{N_2-S_{12}}}} ) . $$

where p 1,i and p 2,i are the parameters obtained with data from the first and second sites, respectively; and N 1 and N 2 are the total numbers of observations at each site. Hence, the dissimilarity can be defined as:

(8)$$D = \displaystyle{{2 \rm \theta } \over \rm \pi } = \displaystyle{2 \over \rm \pi }{\rm co}{\rm s}^{{-}1}\displaystyle{{{\bf V}_1\cdot {\bf V}_2} \over {\vert {{\bf V}_1} \vert \vert {{\bf V}_2} \vert }} = \displaystyle{2 \over \rm \pi }{\rm co}{\rm s}^{{-}1}\displaystyle{{\mathop \sum \nolimits_{i = 1}^{S_{12}} p_{1, i}\, p_{2, i}} \over {\sqrt {\left({\mathop \sum \nolimits_{\,j = 1}^{N_1} p_{1, j}^2 } \right)\left({\mathop \sum \nolimits_{k = 1}^{N_2} p_{2, k}^2 } \right)} }}, \;$$

where j and k are the jth and kth parameters of Site 1 and Site 2. If there is significant similarity between the two sites, D will be close to 0, and if the difference is strong, then D will approach 1.

Balance Index for Occurrences/Origination–Extinction

An advantage of using angles instead of cosine values to characterize dissimilarity is that they obey the associative law of addition. That is to say, angle A plus angle B equals angle (A + B), whereas cos(A) plus cos(B) does not equal cos(A + B). This means we can split the angle (or a normalized angle) denoting dissimilarity into two parts to quantify the relative contribution of increases and decreases in the abundance of taxa.

Herein, a mean vector (${\bf V}_{\rm m}$) is employed to split the angle (θ) into two parts:

(9)$${\bf V}_{\rm m} = \displaystyle{{{\bf V}_1 + {\bf V}_2} \over 2}.$$

The angle between the mean vector and vector 1 (V1) is θ1, and the angle between the mean vector and vector 2 (V2) is θ2, defined as:

(10)$${\rm \theta} _1 = \bigg \langle {\bf V}_1, \;\displaystyle{{{\bf V}_1 + {\bf V}_2} \over 2} \bigg \rangle = {\rm co}{\rm s}^{{-}1}\left({\displaystyle{{\vert {{\bf V}_1} \vert } \over {2\vert {{\bf V}_2} \vert }} + \displaystyle{{{\bf V}_1\cdot {\bf V}_2} \over {2\vert {{\bf V}_1} \vert \vert {{\bf V}_2} \vert }}} \right), \;$$
(11)$${\rm \theta} _2 = \bigg \langle{\bf V}_2, \;\displaystyle{{{\bf V}_1 + {\bf V}_2} \over 2} \bigg \rangle = {\rm co}{\rm s}^{{-}1}\left({\displaystyle{{\vert {{\bf V}_2} \vert } \over {2\vert {{\bf V}_1} \vert }} + \displaystyle{{{\bf V}_1\cdot {\bf V}_2} \over {2\vert {{\bf V}_1} \vert \vert {{\bf V}_2} \vert }}} \right), \;$$

and therefore,

(12)$${\rm \theta} = {\rm \theta} _1 + {\rm \theta} _2.$$

As shown in Figure 1A, only when the increase is identical to the decrease can triangle Oca and triangle Ocb be said to be congruent, with θl equal to θ2 and the mean vector being the angular bisector of θ (angle bOa). If the increasing rate is much higher (i.e., larger vector magnitude with larger angle aOx), the mean vector becomes closer to vector 2, with a larger θ1 (Fig. 1B).

Figure 1. Diagram showing how the angle representing the dissimilarity between two vectors can be divided into increased (In) and decreased (De) components of occurrences. Only when the gained and lost occurrences are balanced (A), can the two angles split by the mean vector be equal. If the loss of occurrences is higher (B), the mean vector becomes closer to vector 1.

The law of addition holds true if the angles are normalized with π/2:

(13)$$D_1 = \displaystyle{{2{\rm \theta} _1} \over {\rm \pi} }, \;D_2 = \displaystyle{{2 {\rm \theta} _2} \over {\rm \pi} }, \;\,\,\,{\rm and\ }D = D_1 + D_2, \;$$

where D 1 and D 2 are partial dissimilarities. Because D 1 increases with the number of occurrences, we can define a balance index for occurrences (γ):

(14)$$\gamma = \displaystyle{{D_1} \over D} = 1-\displaystyle{{D_2} \over D}.$$

When the increase in the number of occurrences is equal to the decrease, D 1 = D 2 and $\gamma = {{D_1} \over {2D_1}} = 0.5$, and the taxonomic flux is balanced. When the rate of increase is higher, D 1 ∈ (0.5, 1], and when the rate of decrease is higher, D 1 ∈ [0, 0.5). When using 1/0-based descriptions (i.e., 1 for presence and 0 for absence, as in eqs. 2 and 3), the obtained result will inform on the balance between the origination and extinction components of dissimilarity (the balance index for origination and extinction), similar to that in Bush et al. (Reference Bush, Wang, Payne and Heim2019). However, it should be noted that this balance index only works when ${\bf V}_1\ne {\bf V}_2$. If the two vectors are equal, that is, they are overlapped, we therefore by default consider γ = 0.5.

Simple Demonstration and Convergence Study

In this section, we present a simple case study illustrating the difference between the absolute species turnover in equation (1) and the metric proposed herein. Table 1 shows observations from four different sites:

Table 1. Samples from four sites, where A–N represent different species.

If one calculates beta diversities for site 1 versus site 2 and site 3 versus site 4 using equation (1), the same value of 3 is obtained. However, the community from site 1 only shows small differences from that at site 2, while the community from site 3 is very different from the one at site 4, with only one shared species.

In contrast, using the measure proposed herein, we can compute the dissimilarity (beta diversity here as well) between site 2 versus site 1 as ${\rm \beta} _{2-1} = {2 \over {\rm \pi} }{\rm co}{\rm s}^{{-}1}{{11\cdot 1 + 3\cdot 0} \over {\sqrt {12\cdot 13} }} = 0.314$, and that between site 4 and site 3 as ${\rm \beta} _{4-3} = {2 \over {\rm \pi} }{\rm co}{\rm s}^{{-}1}{{1\cdot 1 + 13\cdot 0} \over {\sqrt {2\cdot 3} }} = 0.732$, indicating that the communities from site 2 and site 1 are similar, while the communities from site 4 and site 3 are dissimilar. This provides a better explanation of the data presented in Table 1.

Our measure of dissimilarity shows little bias compared with the Morisita-Horn (M-H) dissimilarity (Horn Reference Horn1966): $D_{{\rm mh}} = 1-{{2\sum V_{1, i}V_{2, i}} \over {\left({{{\sum V_{1, i}^2 } \over {N_1^2 }} + {{\sum V_{2, i}^2 } \over {N_2^2 }}} \right)N_1N_2}}$. For example, the following benchmark case has 10,000 random integers ranging from 1 to 20, and we have 21 testing cases (for comparison) where the Mth case has M integers ranging from 1 to M(M ≤ 20; the 0th case has all-zero components; and the 20th case shall be equivalent to the benchmark, with its integers ranging from 1 to 20). As such, the proposed dissimilarity of the benchmark case versus the 10th cases (which share 10 elements with the benchmark case, as shown in Table 2) should analytically be $D = {2 \over {\rm \pi} }{\rm co}{\rm s}^{{-}1}{{500\cdot 1000\cdot 10 + 500\cdot 0\cdot 10} \over {500\sqrt {20} \cdot 1000\sqrt {10} }} = 0.5$, which is exactly “half the same,” as it should be. On the other hand, the M-H dissimilarity should analytically be $D_{{\rm mh}} = 1-{{2\cdot ( {500\cdot 1000\cdot 10} ) } \over {\left({{{20\cdot {500}^2} \over {{10,000}^2}} + {{10\cdot {1000}^2} \over {{10,000}^2}}} \right){10,000}^2}} = {1 \over 3}$, which demonstrates severe computational bias. This computational bias is shown in Figure 2, where the proposed measure of dissimilarity is an antisymmetrical odd function about (10, 0.5) with better linearity between the metrics and number of non-shared observations, whereas the M-H dissimilarity is a convex function that exhibits no symmetry over “half-similarity.” In other words, one shared sample among 20 (~0.856) is complementary to 19 shared samples among 20 (~0.144), and these two values add up to 1 in the proposed metrics.

Table 2. Theoretical probability of occurrence of each element in the benchmark and the 10th testing case.

Figure 2. Variation in dissimilarity (D) across a number of shared elements (Mth case) compared with the benchmark: proposed vector-based dissimilarity versus Morisita-Horn (M-H) dissimilarity.

In addition to computationally bias-free accuracy, convergence and robustness are also important features for evaluating our newly proposed measure of dissimilarity. To assess this, we created two datasets containing 2000 integral numbers. The first dataset has 10 different numbers (1 to 10), while the second dataset has 20 different numbers (1 to 20). These numbers are evenly and randomly distributed in the datasets. Dissimilarities between the two datasets were then calculated with certain numbers of observations extracted from the datasets (from 50 to 2000, at intervals of 50). Seven data series were generated in this way. The estimated beta diversities versus the number of observations used in the calculations are shown in Figure 3.

Figure 3. Convergence study. The obtained dissimilarity (D) converges on 0.5 with increasing numbers of observations.

As shown in Figure 3, as the number of observations increases, the obtained dissimilarity between the two datasets converges on the analytical result of 0.5. The mean absolute error is 5% for 100 observations, which is 5 times the number of features (20). The mean absolute error decreases to 2.5% at around 260 observations, which is 13 times the number of features. This indicates that the proposed measure of dissimilarity will perform well (2.5% error) as long as the total number of the observations in the dataset exceeds around 13 times the number of data features (e.g., taxa).

From the these analyses, it is evident that our proposed measure of vector-based dissimilarity functions well at different observation sizes and abundances and can accurately determine the dissimilarity between two datasets. It is not biased by the number of overlapping features and readily converges on the analytical result.

To evaluate the balance index for occurrences, we set up a test case with the following vectors. Partial dissimilarities and balance indices were computed with comparisons between ${\bf V}_2\sim {\bf V}_7$ and ${\bf V}_1$:

$$\eqalign{& {\bf V}_ 1 = [ {1, \;1, \;1, \;1, \;1, \;0, \;0, \;0, \;0, \;0} ] , \;\cr & {\bf V}_ 2 = [ {1, \;1, \;1, \;1, \;0, \;1, \;0, \;0, \;0, \;0} ] , \;\,\,\,\,\,\,\,\,\,\,\,\,\,\,D_{1\_2 \hbox{-} 1} = D_{2\_2 \hbox{-} 1} = 0.2048, \;\,\,\,{\rm \gamma }_{2 \hbox{-} 1} = 0.5; \;\cr & {\bf V}_3 = [ {1, \;1, \;1, \;0, \;0, \;1, \;1, \;0, \;0, \;0} ] , \;\,\,\,\,\,\,\,\,\,\,\,\,\,\, D_{1\_3 \hbox{-} 1} = D_{3\_2 \hbox{-} 1} = 0.2952, \;\,\,\,\,{\rm \gamma }_{3 \hbox{-} 1} = 0.5; \;\cr & {\bf V}_ 4 = [ {1, \;1, \;1, \;1, \;0, \;1, \;1, \;1, \;0, \;0} ] , \;\,\,\,\,\,\,\,\, \,\, \,\,\,\,D_{1\_4 \hbox{-} 1} = 0.2871, \;\,\,\,\,\,D_{2\_4 \hbox{-} 1} = 0.2402, \;\,\,\,\,{\rm \gamma }_{4 \hbox{-} 1} = 0.5445; \;\cr & {\bf V}_ 5 = [ {1, \;1, \;0, \;0, \;0, \;1, \;0, \;0, \;0, \;0} ] , \;\,\,\,\,\,\,\,\,\,\,\,\,\,\,D_{1\_5 \hbox{-} 1} = 0.2871, \;\,\,\,\,\,\,\,\,\,\,\,D_{2\_5 \hbox{-} 1} = 0.3729, \;\,\,\,\,{\rm \gamma }_{5 \hbox{-} 1} = 0.4304; \;\,\,\,\,\,\,\cr & {\bf V}_ 6 = [ {1, \;1, \;1, \;1, \;2, \;0, \;0, \;0, \;0, \;0} ] , \;\,\,\,\,\,\,\,\,\,\,\,\, \,\, D_{1\_6 \hbox{-} 1} = 0.1145, \;\,\,\,\,\,\,\,\,\,\,\,D_{2\_6 \hbox{-} 1} = 0.0903, \;\,\,\,\,{\rm \gamma }_{6 \hbox{-} 1} = 0.559; \;\cr & {\bf V}_ 7 = [ {1, \;1, \;1, \;1, \;0, \;30, \;0, \;0, \;0, \;0} ] \,\,\,\,\, \, \,\,\,\,\,\,\,\,D_{1\_7 \hbox{-} 1} = 0.8434, \;\,\,\,\,\,\,\,\,\,\,\, \,\, \,\,\,\,\,\,D_{2\_7 \hbox{-} 1} = 0.1187, \;\,\,\,\,{\rm \gamma }_{7 \hbox{-} 1} = 0.877; \;} $$

This shows that, if the increase of taxa is equal to the decrease compared with ${\bf V}_1$ (i.e., ${\bf V}_2$ and ${\bf V}_3$), the balance index is 0.5, and the magnitudes of partial dissimilarities increase with the magnitude of taxonomic flux. However, if the magnitude of increase is higher than the magnitude of the decreases ones (i.e., ${\bf V}_4$, one extinction, three originations), the balance is broken, and the index exceeds 0.5, and vice versa for ${\bf V}_s$. An increase in species abundance (i.e., ${\bf V}_6$ and ${\bf V}_7$) also leads to an increase in the balance index.

Materials

Under present ichnological practice, diagnostics of trace fossils experience unavoidable uncertainties caused by behavioral diversity, taphonomic effects, and observer biases, leading to synonyms and problematica. Therefore, the authors employed a well-tuned but conservative dataset containing widely accepted trace fossil taxa from the Ediacaran and Cambrian periods, mainly from Mángano and Buatois (Reference Mángano and Buatois2016), with putative body fossils like Nenoxites (Shaanxilithes) (Zhu et al. Reference Zhu, Zhuravlev, Wood, Zhao and Sokhov2017; Luo and Miao Reference Luo and Miao2020; Mángano and Buatois Reference Mángano and Buatois2020) removed, and supplemented with new data from other relevant studies. This included Cochlichnus (Webby Reference Webby1970; Darroch et al. Reference Darroch, Cribb, Buatois, Germs, Kenchington, Smith and Mocke2021) from shallow-marine (i.e., wave-influenced region in this paper) deposits of the latest Ediacaran Torrowangee Group of western New South Wales and the Nama Group of southern Namibia, as well as Diplichnites from the Shibantan Member of the upper Dengying Formation in the Yangtse Gorges area in South China (Chen et al. Reference Chen, Chen, Zhou, Yuan and Xiao2018), which may represent the earliest trackways made by bilaterian animals with paired appendages. Additionally, Radulichnus (Seilacher and Hagadorn Reference Seilacher and Hagadorn2010) and Lockeia (Crimes and Fedonkin Reference Crimes and Fedonkin1994; Pandey et al. Reference Pandey, Uchman, Kumar and Shekhawat2014; Kaur et al. Reference Kaur, Singh, Bhargava, Mikuláš, Singla, Prasad and Stopden2021) from Ediacaran and Cambrian shallow-marine deposits, Bergaueria (Alpert Reference Alpert1973) and Torrowangea (Zhuravlev and Riding Reference Zhuravlev and Riding2000) from Ediacaran and Cambrian shallow- and deep-marine deposits, Thalassinoides (Zhang et al. Reference Zhang, Qi, Buatois, Mángano, Meng, Li and Tang2017), Gordia (Buatois et al. Reference Buatois, Narbonne, Mángano, Carmona and Myrow2014), Parapsammichnites and Streptichnus from Ediacaran shallow seas (Buatois et al. Reference Buatois, Almond, Mángano, Jensen and Germs2018; Darroch et al. Reference Darroch, Cribb, Buatois, Germs, Kenchington, Smith and Mocke2021), Archaeonassa (Hofmann et al. Reference Hofmann, Mángano, Elicki and Shinaq2012), Didymaulichnus (Jensen and Mens Reference Jensen and Mens2001) and Trypanites (James et al. Reference James, Kobluk and Pemberton1977) from Cambrian shallow-marine deposits, Saerichnites from Cambrian deep-marine deposits (Buatois and Mángano Reference Buatois and Mángano2004), and Protopaleodictyon (Zhuravlev and Riding Reference Zhuravlev and Riding2000) from Cambrian shallow- and deep-marine deposits were added to the dataset. Treptichnids from the Nama Group is tentatively combined into Treptichnus due to possible variations from behaviors or taphonomy. The occurrences are recorded at the “member” scale, unless the formation has not been subdivided into members. The full dataset is shown in Table 3.

Table 3. Marine trace fossils from the Ediacaran to Cambrian Epoch 2. Numbers in cells indicate the number of sites where a given ichnogenus has been found. Different cell shadings correspond to shallow (gray), deep (orange), and eurybathic (blue) trace fossils. W, White Sea; N, Nama; F, Fortunian; S2, Cambrian Stage 2; S3, Cambrian Stage 3; and S4, Cambrian Stage 4. Ethological categories (behaviors): A, agrichnia (farming or parenting); C, cubichnia (resting); D, domichnia (dwelling); E, equilibrichnia (balancing its position against sedimentary events); F, fodichnia (feeding); P, pascichnia (grazing); and R, repichnia (locomotion). Functional groups: B, biodiffusive bioturbators; C, conveyors; E, epifaunal bioturbators; G, gallery biodiffusors; R, regenerators; and S, surficial modifiers.

There may be uncertainties related to the age, behavioral categorization, and taxonomic identifications of some of the trace fossils in our dataset, as well as possible sampling biases to contend with. However, bounded by the central limit theorem (Kwak and Kim Reference Kwak and Kim2017), the distribution of these data approximates a Gaussian distribution around the “true value.” Consequently, background noise will be minimized so long as the number of observations is sufficiently large and the computational algorithm is converged, as demonstrated in the previous section.

Results and Discussion

Ediacaran–Cambrian Trace Fossil Dissimilarity, Origination, and Extinction

The Ediacaran preserves the oldest evidence of large and morphologically complex multicellular organisms, including some of Earth's earliest animals, documenting the first appearance of convincing bilaterian traces (Gehling et al. Reference Gehling, Runnegar and Droser2014; Mángano and Buatois Reference Mángano and Buatois2016; Chen et al. Reference Chen, Zhou, Yuan and Xiao2019; Evans et al. Reference Evans, Tu, Rizzo, Surprenant, Boan, McCandless, Marshall, Xiao and Droser2022). As the sensory and locomotory capabilities of early metazoans evolved, they started to have a bigger impact on their environment by disturbing the substrate and creating vertical burrows (Cribb et al. Reference Cribb, Kenchington, Koester, Gibson, Boag, Racicot, Mocke, Laflamme and Darroch2019), enhancing the exchange of nutrients between the pelagic and benthic realms (Erwin and Tweedt Reference Erwin and Tweedt2012; Buatois et al. Reference Buatois, Almond, Mángano, Jensen and Germs2018). When the substrate became increasingly bioturbated and heterogeneous during the early part of the Cambrian (i.e., the AR), it posed challenges to organisms grazing on microbial mats (which had served to stabilize substrates during much of the Proterozoic), which is thought to have driven changes in animal morphology, function, and behavior. This evolutionary divergence in response to changes in the nature of the substrate is referred to as the Cambrian substrate revolution (Bottjer et al. Reference Bottjer, Hagadorn and Dornbos2000). To help decipher the evolution of early metazoans during this interval, we analyzed the dissimilarity and balance index of trace fossils from the Ediacaran–Cambrian.

Using the data in Table 3, we obtained six vectors for the corresponding six time periods. For example, after removing columns with all-zero elements, the vectors for the White Sea and Nama Group are (3, 1, 0, 0, 0, 2, 3, 9, 6, 1, 0, 0, 8, 3, 0, 1, 0) and (1, 1, 2, 1, 2, 0, 5, 14, 4, 0, 1, 1, 10, 0, 1, 7, 4), respectively. We used these to calculate dissimilarity and the balance index for occurrences for each pair of time bins and plotted these against time, with the results shown in Figure 4. Based on this, we found that dissimilarity (Fig. 4A) and both balance indices (Fig. 4B,C) peaked across the interval between the Ediacaran Nama Group and the Cambrian Fortunian Stage, associated with a dramatic increase in global diversity and abundance of trace fossils (Mángano and Buatois Reference Mángano and Buatois2016). These include simple horizontal traces like Gordia, Helminthopsis, and Helminthoidichnites, thought to be made by vermiform primary consumers (mat grazers) that lived on Ediacaran-style microbial substrates. Such traces tend to have limited curvature with simple geometries, and no specific ethological taxis can be identified from them. These simple traces persisted into the Cambrian (Buatois et al. Reference Buatois, Narbonne, Mángano, Carmona and Myrow2014). However, by the Fortunian, more morphologically complex traces started to appear, like Cruziana and Rusophycus, which are thought to have been produced by arthropods; pentaradially symmetrical Asteriacites (a putative asterozoan resting trace; Knaust and Neumann Reference Knaust and Neumann2016); Teichichnus (a passively filled subvertical spreite burrow thought to be created by arthropods or annelid worms; Knaust Reference Knaust2018); and Dactyloidites (thought to be made by polychaetes or worms with a suspension-feeding life mode; Curran and Glumac Reference Curran and Glumac2022). Evidence of sharp turnings, self-crossing or avoidance of self-crossing, displacement of sediment, and taxis can be observed in several of these traces. This increase in the abundance and complexity of traces across the Ediacaran/Cambrian boundary also informs on the evolution of the tracemakers, implying the emergence of ecosystem engineers, secondary consumers, detritivores, and scavengers with morphologically varied body plans and feeding strategies. Based on study of the trace fossil record, major new animal body plans and feeding modes seem to have appeared across the boundary between the Ediacaran and Cambrian periods, and this event has been termed the Fortunian diversification event (FDE) (Mángano and Buatois Reference Mángano and Buatois2016). This is thought to be an expression of the Cambrian information revolution (CIR) (Plotnick et al. Reference Plotnick, Dornbos and Chen2010; Hsieh et al. Reference Hsieh, Plotnick and Bush2022), which was characterized by the development of more advanced sensory, cognitive, and locomotory capabilities. As ecological niches were progressively filled during this evolutionary radiation, the diversification of traces slowed, with the magnitude of dissimilarity steadily decreasing through the Cambrian (Fig. 4A). Ichnodissimilarity dropped to a low point of 0.161 across the boundary between the third and fourth stages of the Cambrian, indicating an evident similarity in ichnotaxa from these two stages.

Figure 4. Ichnological dissimilarity (A) and balance indices (B) across the Ediacaran–Cambrian. A, Dissimilarity is most evident at the Ediacaran/Cambrian boundary, decreasing through the Cambrian. B, Balance indices for occurrences (line) and origination and extinction (dashed line) across the Ediacaran–Cambrian. Values above 0.5 indicate that the contribution from increasing numbers of taxa is greatest; values below 0.5 indicate that the contribution from the loss of taxa or abundance is greatest. The balance index for occurrences peaks at the boundaries between the Ediacaran and the Cambrian and between Cambrian Stages 2 and 3, before declining at the boundary between Cambrian Stages 3 and 4. The second peak is a result of increased occurrences rather than the origination of new body plans, as shown by the low value of the balance index for origination and extinction.

The general profile of ichnodissimilarity over the Ediacaran–Cambrian (Fig. 4A) closely matches estimates of diversification rates for marine animals based on sampling-standardized analyses (Na and Kiessling Reference Na and Kiessling2015), which show a peak in the Fortunian, followed by a decline through the Cambrian. However, comparing ichnodissimilarity to the global and beta diversities of marine animals, which peaked at around Cambrian Stage 3 (Sepkoski Reference Sepkoski1998; Na and Kiessling Reference Na and Kiessling2015; Fan et al. Reference Fan, Shen, Erwin, Sadler, MacLeod, Cheng and Hou2020), reveals a stronger asynchrony between the trace and body fossil records. This asynchrony suggests that the overall dissimilarity of trace fossils more closely corresponds to the diversification of major animal body plans and behaviors at higher taxonomic levels (Zhang and Shu Reference Zhang and Shu2021) than it does to genus- or species-level diversity.

Unlike ichnodissimilarity, the balance index for occurrences shows a second peak at the start of Cambrian Stage 3 (Fig. 4B). The balance index for origination and extinction is only slightly above 0.5, demonstrating that this peak indicates an increase in the abundance of existing ichnotaxa, rather than the origination of new trace fossils. This could be associated with the diversification and expansion of existing animals in a stable ecological system, as well as the divergence of crown-group animals with similar body plans and ethological tendencies (Na and Kiessling Reference Na and Kiessling2015), consistent with suggestions of a two-phase model for the evolution of stem-group animals and expansion and divergence of crown-group animals during the Cambrian (Zhuravlev and Wood Reference Zhuravlev and Wood2018; Zhang and Shu Reference Zhang and Shu2021).

Across the boundary between Cambrian Stages 3 and 4, the decrease in the occurrences of trace fossils exceeded the increased occurrences for the first time, resulting in balance indices less than 0.5 (Fig. 4B). A decline in marine bioturbation at this time was also noted by Buatois and Mángano (Reference Buatois, Mángano, Mángano and Buatois2016). This could reflect a reduction in the abundance and diversity of marine animals during this interval, corresponding to regional disappearance/extinction of some groups (Na and Kiessling Reference Na and Kiessling2015). This may be related to the Sinsk event, an episode of widespread shallow-marine anoxia (Na and Kiessling Reference Na and Kiessling2015; Zhuravlev and Wood Reference Zhuravlev and Wood2018).

Behavioral Activities

Our analyses of ichnodissimilarity also shed light on the evolution of animal behaviors during the Ediacaran–Cambrian. For those trace fossils that have been interpreted as the result of two different behaviors, such as the funnel-shaped vertical concentric burrow Rosselia, which could be the product of both dwelling and feeding behaviors, the number of occurrences in each time interval was halved in the corresponding ichnological matrix; for example, the occurrence of Rosselia as a domichnia or repichnia during the Ediacaran and Cambrian periods is denoted as (0, 0, 0, 1, 3.5, 2.5). In this way, the matrix for each behavioral (ethological) category was estimated. For example, cubichnia gives the following matrix:

(16)$$\matrix{ {} & {\matrix{ \!\!\! W & \,N & \,F & {\, S2} & {\, S3} & {\, S4} \cr } } \cr \matrix{ \,\,\,\,\,\,\,\,\,\,\, Asteriacites \hfill \cr \,\,\,\,\,\,\,\,\,\,\,Cheiichnus \hfill \cr \,\,\,\,\,\,\,\,\,\,\,Conichnus \hfill \cr \,\,\,\,\,\,\,\,\,\,\,\,\,\,Elingua \hfill \cr \,\,\,\,\,\,\,\,\,\,\,\, Epibaion \hfill \cr \,\,\,\,\,\,\,\,\,\,\,\,\,Lockeia \hfill \cr Parapsammichnites \hfill \cr \,\,\,\,\,\,\,\,Rusophycus \hfill} & {\left[{\matrix{ 0 & 0 & 1 & 1 & 0 & 1 \cr 0 & 0 & 0 & 1 & 4 & 1 \cr 0 & {0.5} & {0.5} & {0.5} & 0 & 0 \cr 0 & 0 & 0 & 0 & 1 & 1 \cr 2 & 0 & 0 & 0 & 0 & 0 \cr 0 & 1 & 0 & 1 & 1 & 2 \cr 0 & 1 & 0 & 0 & 0 & 0 \cr 0 & 0 & {10} & {19} & {31} & {23} \cr } } \right]} \cr } $$

where the eight rows correspond to ichnogenera representing different resting behaviors and the six columns denote the six time periods. Parapsammichnites is interpreted as a resting/struggling trace of segmented worms in response to environmental stress for its abundant but short and frequent loops on the same surface. The dissimilarity between two intervals was calculated using the corresponding columns of vectors.

We selected four ethological categories (agrichnia, domichnia, pascichnia, and repichnia) and reconstructed matrices for each of these based on the data in Table 3. The ichnodissimilarity and balance indices calculated for each behavior across this interval are shown in Figure 5.

Figure 5. Evolution of animal behaviors across the Ediacaran–Cambrian. A, Dissimilarity. Grazing traces (pascichnia) peak at the Ediacaran–Cambrian interface, while dwelling traces (domichnia) and locomotion traces (repichnia) peak later on, after the Fortunian Stage. Complicated behaviors like parenting and farming (agrichnia) experienced a later divergence at the end of Cambrian Stage 2. In all cases, dissimilarity decreased after Cambrian Stage 3. B, Balance index for occurrences. Pascichnia and agrichnia reached the peak of diversity and abundance at the interface between Cambrian Stages 2 and 3, while repichnia and domichnia had another peak at the Ediacaran–Cambrian interface. All the behaviors experienced reductions in abundance or even taxa at Cambrian Stage 4. C, Balance index for origination and extinction. All the categories but agrichnia peaked at the Ediacaran/Cambrian boundary, with repichnia and pascichnia experiencing a second smaller peak at the boundary between Cambrian Stages 2 and 3.

The global ichnodiversity and frequencies of occurrence of grazing traces (pascichnia) increased during the Fortunian Stage (Table 3), resulting in a peak in dissimilarity of 0.615 at the Ediacaran/Cambrian boundary (Fig. 5A). This evident change was a result of origination, as evidenced by the peak of the balance index for origination and extinction (Fig. 5C). Grazing traces increased in size during the Cambrian and began to exhibit more complex behaviors (Mitchell et al. Reference Mitchell, Evans, Chen and Xiao2022) like space-filling patterns reflecting phobotaxis (i.e., avoiding crossovers of previous trails), thigmotaxis (i.e., staying close to the original trails), and strophotaxis (i.e., periodic 180° turns), as evidenced by trace fossils such as Psammichnites and Oldhamia (Seilacher et al. Reference Seilacher, Buatois and Mángano2005; Mángano and Buatois Reference Mángano and Buatois2016; Gougeon et al. Reference Gougeon, Néraudeau, Dabard, Pierson-Wickmann, Polette, Poujol and Saint-Martin2018a) (Fig. 6A,B). This indicates that Cambrian grazers (e.g., mollusks; Wang and Rahman Reference Wang and Rahman2023) were better at exploring the substrate than Ediacaran forms and strongly implies changes to their cognitive, sensory, and navigational capabilities (Hsieh et al. Reference Hsieh, Plotnick and Bush2022). This evolutionary event is referred to as the CIR (Plotnick et al. Reference Plotnick, Dornbos and Chen2010). With the enhanced capacities for motility that animals evolved following the Fortunian, the microbial matground became more and more patchy, and as a result, the diversification rate of grazing behaviors slowed down after the Fortunian. In contrast, the balance index for occurrences at this interval is very close to 0.5 (Fig. 5B), meaning the occurrence of new grazing behaviors and body plans was balanced by a reduction in abundance of existing ones, possibly due to the crowded niche at the water–substrate interface.

Figure 6. Typical Cambrian grazing trace fossils: Oldhamia (A) shows evidence of phobotaxis and thigmotaxis; Psammichnites (B) shows evidence of strophotaxis. These complex grazing traces first appeared in the Fortunian stage; photos adopted from Seilacher et al. (Reference Seilacher, Buatois and Mángano2005) and Mángano and Buatois (Reference Mángano and Buatois2020). Typical field photos of the vertical and subvertical dwelling burrows Skolithos (C), two opening of U-shaped Arenicolites (D), and Diplocraterion (E), which first appeared during Cambrian Stage 2; photos adopted from McIlroy (Reference McIlroy2017) and our collections from Shiyantou Formation, Yunan, China, and Hardeberga Formation, Bornholm, Denmark (Cambrian Stage 2). Arthropod trackway Diplichnites (F) from Cambrian Stage 2 (Pandey et al. Reference Pandey, Uchman, Kumar and Shekhawat2014); and putative farming traces Paleodictyon cf. imperfectum (G) from the Goldenville Group, Nova Scotia, Canada (Pickerill and Keppie Reference Pickerill and Keppie1981). Scale bars, 1 cm.

For dwelling traces (domichnia), peak dissimilarity (0.487) was reached at the boundary between the Fortunian and Cambrian Stage 2 (Fig. 5A), associated with increases in their frequency of occurrences (Fig. 5B), as well as behavioral/body plan innovations (Fig. 5C) that rooted from Fortunian and prospered during Cambrian Stage 2. This process was characterized by the appearance and abundance of vertical burrows like Skolithos, Arenicolites, Gyrolithes, and Rosselia, as well as U-shaped burrows with spreites, like Diplocraterion (Fig. 6CE). Oblique to subvertical burrows with actively filled spreites (Knaust Reference Knaust2013), like Teichichnus and Rhizocorallium, were also abundant during this interval. These vertical or subvertical burrows may indicate the evolution of new and more active feeding strategies (Zamora et al. Reference Zamora, Deline, Álvaro and Rahman2017), biomineralized hard parts (to remove or displace sediments; Roy and Purohit Reference Roy, Purohit, Purohit and Roy2018), and/or possible predation pressure (Wilson et al. Reference Wilson, Rayburn and Edwards2012). The diversification of these dwelling traces, thought to be created by crustaceans and other suspension-feeding animals (Buatois et al. Reference Buatois, Mángano, Minter, Zhou, Wisshak, Wilson and Olea2020), coincided with a shift in organism–substrate interactions (i.e., the displacement of sediment particles) from a diffusion-dominated stage to an advection-dominated stage (Tarhan Reference Tarhan2018), which enhanced the exchange of nutrient particles between the water column and benthic and infaunal communities. After the Fortunian, the origination rate of new domichnia dropped, evidenced by reductions in the balance index for origination and extinction (Fig. 5C), perhaps reflecting the occupation of the associated living strategies and niches. Nevertheless, an increase in the frequency of occurrences (Fig. 5B) can be seen at the boundary between Cambrian Stages 2 and 3, potentially suggesting the presence of increasingly habitable environments, especially in high-energy shallow waters.

Locomotory traces (repichnia) show trends similar to those of domichnia, with a major peak in dissimilarity at the boundary between the Fortunian and Cambrian Stage 2 (Fig. 5A). This reflects the appearance of complex new body plans and behaviors, such as Cruziana, Diplichnites (Fig. 6F), and Curvolithus during the Fortunian diversification, evidenced by a peak in the balance index for origination and extinction at the Ediacaran/Cambrian boundary (Fig. 5C). This evolutionary radiation continued into Cambrian Stage 2, albeit at a relatively slower rate (shown by the lower magnitudes in both the balance indices), at which time existing locomotory traces like Diplichnites became more abundant, and new complex trackways like Petalichnus, Protovirgularia, and Tasmanadia first appeared (Mángano and Buatois Reference Mángano and Buatois2016). These trackways from the Fortunian and Cambrian Stage 2 provide evidence for more enhanced mobility (e.g., stronger muscles attached to exoskeletons with joints) and maneuverability of primary and secondary consumers, producing stronger and deeper impressions in the substrate and more laterally extensive sediment displacement than grazing traces. Together with the aforementioned increase in vertical dwelling burrows, this contributed to the transformation of the substrate from a primarily two-dimensional matground to a three-dimensional mixground inhabited by diverse benthic animals during Cambrian Stage 2. Due to the heterogeneous nature of this mixground, feeding strategies shifted from slowly grazing the surface of the matground (i.e., pascichnia) to searching for food across long distances (i.e., repichnia). This transition marks the onset of the AR (Ichaso et al. Reference Ichaso, Buatois, Mángano, Thomas and Marion2022), with repichnia increasing in abundance during Cambrian Stage 3 (as illustrated by the high balance index for occurrences, alongside a low balance index for origination and extinction; Fig. 5B,C).

With the development of enhanced sensory, mobility, and maneuverability capabilities, benthic animals started to explore new feeding strategies, like farming of bacteria within a designed substrate topology, or new parenting strategies. This is termed agrichnia, and typical ichnotaxa include Saerichnites and Paleodictyon (Fig. 6G), and Protopaleodictyon (Morgan et al. Reference Morgan, Henderson and Pratt2019). Though some of these behaviors can be traced to earlier stages in the Cambrian, the biggest increase in the abundance of such trace fossils occurred during Cambrian Stage 3, giving the greatest dissimilarity and balance index for occurrences (Fig. 5A,B) at the boundary between Cambrian Stages 2 and 3. The taxonomic turnovers during this period were, however, basically balanced (Fig. 5C).

After Cambrian Stage 3, the dissimilarity of grazing, dwelling, locomotion, and farming traces all decreased (Fig. 5A), with all balance index for occurrences values lower than 0.5 (Fig. 5B), and domichnia and pascichnia even experienced a higher extinction rate (Fig. 5C). This indicates the decrease in frequency of occurrences and even loss of taxa during Cambrian Stage 4. This could be interpreted as an outcome of animals experiencing an overcrowded niche conditions, but might also be related to the decrease in global genus-level diversity of marine animals at this time due to anoxic events (Na and Kiessling Reference Na and Kiessling2015).

The balance indices for occurrences for domichnia and repichnia and the balance indices for origination and extinction for pascichnia and repichnia all show two distinct peaks (Fig. 5B,C), which parallel the patterns in the overall balance indices of Ediacaran–Cambrian trace fossils (Fig. 4B). This informs on the two-phase evolutionary pattern during this critical interval: a major evolutionary radiation occurred during the FDE, with the appearance of novel body plans and behaviors, as well as high frequency of occurrences among different localities. There is also a smaller second peak in the balance indices at the boundary between Cambrian Stages 2 and 3 (Fig. 4B), which was the result of an increase in occurrences, rather than origination (albeit origination was still higher than extinction). But agrichnia had not come onto the stage by the first round of overall divergence of behaviors.

Functional Groups

Facilitated by the evolution of more sophisticated sensory, cognitive and locomotory capabilities during the Ediacaran–Cambrian, early animals began to explore deeper tiers within the substrate. Based on their impacts on sedimentary ecosystems, these organisms can be classified into six categories (Francois et al. Reference Francois, Gerino, Stora, Durbec and Poggiale2002; Solan and Wigham Reference Solan, Wigham, Kristensen, Haese and Kostka2005): (1) epifaunal bioturbators living on substrates without penetrating the sediment–water interface (e.g., arthropods and gastropods), which can produce surficial traces like Rusophycus, Cruziana, and Curvolithus; (2) surficial modifiers living within the uppermost layers of the sediments (e.g., some meiofauna), which tend to create shallow horizontal burrows like Gordia; (3) biodiffusive bioturbators disturbing deeper mixed layers (e.g., bivalves), which leave deep horizontal or plug-shaped burrows, such as Psammichnites; (4) regenerators creating semipermanent vertical/oblique burrows that serve to extend the water column downward (e.g., crustaceans and Skolithos); (5) conveyors transporting sediment particles between the surface and the bottom of a vertical or oblique burrow (e.g., polychaetes), which produce traces that tend to have backfills and spreites, like Rhizocorallium and Diplocraterion; (6) gallery biodiffusors creating interconnected burrow systems with one or more openings to the surface (e.g., polychaetes), like Trichophycus and Paleodictyon.

Using the data in Table 3, we calculated dissimilarities and balance indices for these different functional groups. The number of occurrences of traces with two different interpretations (e.g., Gordia produced by meiofauna [e.g., foraminifera] as a surficial modifier or produced by small arthropods as epifaunal bioturbators) were halved for each functional group, similar to equation (16). The results are shown in Figure 7.

Figure 7. Exploration of function groups and niches across the Ediacaran–Cambrian interval. E, epifaunal bioturbators; SM, surficial modifiers; B, biodiffusive bioturbators; R, regenerators; C, conveyors; G, gallery biodiffusors. A, Dissimilarity: epifaunal bioturbators and surficial modifiers experienced massive divergence at Ediacaran/Cambrian boundary, regenerators and conveyors significantly increased after Fortunian, while gallery biodiffusors and biodiffusive bioturbator reached their peak at the interface between Cambrian Stages 2 and 3. B, Balance index for occurrences: almost all functional groups experienced a two-peak increase in diversity and occurrences at the Ediacaran–Cambrian interface and the interface between Cambrian Stages 2 and 3. C, Balance index for origination and extinction: shallow niches experienced origination earlier than deeper niches, and a small origination happened during Cambrian Stage 3.

The dissimilarities of epifaunal bioturbators (E) and surficial modifiers (SM) show very similar profiles, with dissimilarity reaching a peak at the boundary between the Ediacaran and the Cambrian, before decreasing steadily through the Cambrian (Fig. 7A). This indicates these two functional groups were the dominant bioengineers during the Ediacaran and earliest Cambrian, at which time early mobile animals were largely restricted to the surface of the substrate and the topmost layers of sediment. To be precise, the dissimilarities of traces left by epifaunal bioturbators over different intervals are all larger than those of surficial modifying traces that penetrate shallowly into the substrates. This means there are even more animals living on the substrate surfaces compared with those in shallow sedimentary layers. Interestingly, the profile of epifaunal bioengineers’ evolutionary dissimilarities also shows common features with those of pascichnia in Figure 5, indicating that the main approach through which these epifaunal benthos transformed the substrate during the Ediacaran was grazing, and these bioengineers were important components of the FDE, as shown by the evident origination components shown in Figure 7C. Following the Fortunian, as the matground became more disturbed (Mángano and Buatois Reference Mángano and Buatois2020), the diversification rate of grazing epifaunal animals (and their traces) decreased.

The traces left by regenerators (R) and conveyors (C), which produced vertical, subvertical, or oblique burrows, reached peaks in dissimilarity at the boundary between the Fortunian and Cambrian Stage 2 (Fig. 7A), corresponding to the profile of domichnia (Fig. 5), which are also dominated by vertical burrows. This again highlights that although the exploration of deeper tiers by animals started in the Fortunian, this became more prominent (as evidenced by the high balance index for origination and extinction between the Fortunian and Cambrian Stage 2; see Fig. 7C) during the second stage of the Cambrian (Buatois et al. Reference Buatois, Mángano, Minter, Zhou, Wisshak, Wilson and Olea2020), perhaps due to greater maneuverability, presence of a mineralized exoskeleton, and/or predation pressure in these early animals. These regenerators and conveyors extended the lower boundary of the water column to the burrow bottom, thereby enhancing nutrient exchange between the water column and the substrate. As a result, they can be seen as pioneering ecosystem engineers that transformed the substrate from a two-dimensional stabilized matground into a three-dimensional heterogeneous mixground, ushering in the AR (Buatois et al. Reference Buatois, Narbonne, Mángano, Carmona and Myrow2014).

Biodiffusive bioturbators (B) and gallery biodiffusors (G) diversified slightly later in the Cambrian and peaked in ichnodissimilarity at the interface between Cambrian Stages 2 and 3 (Fig. 7A), showing certain similarities to agrichnia (Fig. 5). This change in the dissimilarity of traces produced by gallery biodiffusors is a result of the appearance of new ichnotaxa (Bauplans or behaviors), evidenced by the high origination of gallery biodiffusors after Cambrian Stage 3 (Fig. 7C), while the peak of traces left by biodiffusive bioturbators was the result of both origination in Cambrian Stage 2 and increased occurrences of existing taxa (mainly those that originated in Stage 2; shown in Fig. 7B,C). In many cases, these tracemakers would have had to simultaneously move their bodies forward while also removing sediments, and hence would likely have required more advanced mobility, maneuverability, sensibility, and even cognition (especially for burrow systems). These biodiffusors would have further enhanced the mixing rate and nutrient exchange within the substrate by creating complex burrow systems. The existence of a better-developed sedimentary mixed layer would have reduced the chances of preserving surficial and semi-infaunal trace fossils (Tarhan Reference Tarhan2018). This is also one possible explanation for the persistent decrease in the dissimilarity of the traces left by epifaunal bioturbators and surficial modifiers after the Fortunian (Fig. 7A), when regenerators, conveyors, biodiffusive bioturbators, and gallery biodiffusors started to flourish.

The patterns of dissimilarity in functional groups across the Ediacaran and the Cambrian (Fig. 7A) indicate a progressive and expansive exploration of substrates or niches through this interval, from surface, shallow-surface, and vertical burrows to burrow systems, with progressively stronger capability to maneuver in sediments. However, balance indices (Fig. 7B,C) generally show that all the functional groups underwent a similar two-phase diversification of origination and expansion, which is consistent with the full ichnological dataset (Fig. 4B). The first peak occurred at the Ediacaran/Cambrian boundary, when the earliest complex animals underwent phylum-level diversification. The number of occurrences for some functional groups (e.g., conveyors) were not particularly high at this time, despite the evidence for considerable innovation. The second peak occurred at the boundary between Cambrian Stages 2 and 3, corresponding to global genus-level diversification (Na and Kiessling Reference Na and Kiessling2015), with similar body plans and behaviors causing an increased abundance within the same ichnogenus. By Cambrian Stage 4, animals from different functional groups were all experiencing more loss of occurrences or even taxa, which may have been the result of local extinctions of stem-group taxa (Zhuravlev and Wood Reference Zhuravlev and Wood2018) and limited possibilities for innovations.

Shallow- and Deep-Marine Environments

In addition to the aforementioned analyses of the diversification of traces, behaviors, and functional groups, the proposed measure of ichnodissimilarity can also be used to compare traces from different environments. As illustrated in Figure 8, dissimilarity, the balance index for occurrences, and the balance index for origination and extinction can be used to determine differences between successive stages across Ediacaran and Cambrian deep/shallow seas, as well as the beta diversity between deep and shallow seas during the same stage.

Figure 8. Ichnological dissimilarity (green values), balance index for occurrences (black values), and balance index for origination and extinction (blue values) in different environments across the Ediacaran–Cambrian interval. The dissimilarities between geological intervals at shallow-marine settings (rippled background) is higher than those of the deep-marine settings (dotted background), with slightly higher balance indices especially at the Ediacaran/Cambrian transition. Dissimilarity (beta diversity) is low between contemporaneous shallow- and deep-marine environments during the Ediacaran, while higher during the Cambrian, but shallow-marine settings always has more abundance and taxa than deep-marine settings.

Figure 8 shows that all the dissimilarities and more than half of the balance indices of traces across Ediacaran and Cambrian shallow-sea facies (top, rippled) were higher than those of deep-sea facies (bottom, dotted). This suggests that more substantial evolutionary changes in mobile animals occurred in shallow-marine settings during this interval (Gougeon et al. Reference Gougeon, Mángano, Buatois, Narbonne and Laing2018b), both in terms of their abundance and origination. This is coincident with the diversification of major animal groups and ethological innovation from the trace fossil record: for example, the appearance of the resting trace Rusophycus in shallow-marine settings, which is thought to have been produced by trilobites; the vertical tube burrows in nearshore high-energy facies produced by dwelling behaviors.

Ediacaran and Cambrian deep-marine environments had relatively low dissimilarities and abundance (Fig. 8) across time intervals, with the trace fossils mostly simple horizontal locomotory/grazing traces like Helminthoidichnites or Helminthopsis, as well as the resting or dwelling traces Bergaueria, which are thought to have been made by sea anemones (as shown in Table 3). These simple traces, which mostly are indicative of grazing feeding strategies, imply the persistence of a matground ecology from the Ediacaran into the earliest part of the Phanerozoic (Buatois and Mángano Reference Buatois and Mángano2003; Buatois et al. Reference Buatois, Narbonne, Mángano, Carmona and Myrow2014). This discrepancy in the rate of evolution of animals in shallow- and deep-marine environments reflected by differences in their dissimilarity and the balance index for origination and extinction could be a result of the higher energy conditions in shallow seas: turbulent flow in neritic regions accelerated water, nutrient, and oxygen exchange between the water column and the sediment and thus would have increased the heterogeneity and oxygen content of the substrate (Li et al. Reference Li, Shi, Cheng, Jin and Algeo2020). This heterogeneous mixground may have driven benthic animals to develop stronger cognition, detectability, and maneuverability capabilities to survive. And in turn, the bioturbation caused by these more complex behaviors could have further heterogenized the substrate (Gougeon et al. Reference Gougeon, Mángano, Buatois, Narbonne and Laing2018b), promoting the evolution of functional morphology and ethology (i.e., the “savannah” hypothesis for early bilaterian evolution) (Budd and Jensen Reference Budd and Jensen2015; Mitchell et al. Reference Mitchell, Bobkov, Bykova, Dhungana, Kolesnikov, Hogarth and Liu2020). All these processes would have been facilitated by the abundance of oxygen and warmer temperature in shallow-marine settings during this time interval. Additionally, the decayed dead metazoans and the organic matter brought by the tides and transgression in the late Ediacaran and early Cambrian would ultimately rejoin this active carbon cycle (Herringshaw et al. Reference Herringshaw, Callow and McIlroy2017) in turbulent shallow-marine settings. Such changes in carbon availability and organism–environment coevolution culminated in a major evolutionary radiation of mobile animals in shallow-marine settings during the Cambrian. Traces (and the tracemakers) that were mainly found in deep-marine settings in later geological periods, like Paleodictyon, Protovirgularia, Zoophycos, Helminthoida, and Nereites, are thought to have actually originated and migrated from Cambrian shallow-marine environments (Crimes and Fedonkin Reference Crimes and Fedonkin1994; Zhang et al. Reference Zhang, Fan and Gong2015; Hammersburg et al. Reference Hammersburg, Hasiotis and Robison2018).

Dissimilarities and balance indices of both shallow- and deep-marine environments show similar profiles to the overall trend for the trace fossil record (Fig. 4), with a maximum dissimilarity at the Fortunian linked to the origination of taxa with fairish abundance, and a smaller second peak in balance indices at Cambrian Stage 3 due to increased abundance of existing taxa, with limited originations. The loss of taxa and abundance exceeded the gains later in Cambrian Stage 4.

Dissimilarity (or beta diversity) between contemporaneous shallow- and deep-marine benthic communities (Fig. 8, middle) has lower value for the Ediacaran period (0.217 and 0.231) compared with the Cambrian (~0.6). This implies a greater (triple) niche overlap between shallow- and deep-marine mobile communities during the Ediacaran (Mángano and Buatois Reference Mángano and Buatois2016), which could indicate that shallow- and deep-marine ecosystems were relatively similar at this time, or the animals had not yet experienced evident divergence across bathymetry. However, as the substrate became heterogenized due to bioturbation and high-energy flow, especially in the neritic region, stronger niche partitioning occurred, and dissimilarity between shallow- and deep-marine mobile communities increased to 0.6 during the Cambrian. Ecological specialization during this period is also observed when looking at the body fossil record (Eden et al. Reference Eden, Manica and Mitchel2022).

All the balance indices between contemporary shallow and marine seas, as shown in the middle lines in Figure 8, are less than 0.5. This suggests that, in addition to overlapping niches/ichnogenera, there were more ichnogenera existing in shallow-marine environments than in deep-marine ones across the Ediacaran and Cambrian. Particularly in the Ediacaran, all the trace fossils in deep-marine settings can also be found in shallow-marine settings. This suggest that complex mobile animals (i.e., bilaterians) might have evolved in shallow-marine environments (e.g., traces from Dengying Formation; Chen et al. Reference Chen, Chen, Zhou, Yuan and Xiao2018), whereas earlier sessile forms (e.g., frondose representatives of the Ediacara biota) originated in deeper, cold, and stenothermal environments (Boag et al. Reference Boag, Stockey, Elder, Hull and Sperling2018; Darroch et al. Reference Darroch, Cribb, Buatois, Germs, Kenchington, Smith and Mocke2021; Turk et al. Reference Turk, Maloney, Laflamme and Darroch2022), with higher intersite beta diversity (Finnegan et al. Reference Finnegan, Gehling and Droser2019).

Conclusions

The measure for estimating dissimilarity proposed herein has great potential for estimating differences between communities across environmental gradients (e.g., shallow to deep marine) and geological time spans. Using this approach, we were able to quantify trace fossil diversity across major evolutionary events during the Ediacaran–Cambrian.

The results demonstrate that there was a sudden increase in both the diversity and frequency of occurrences of traces at the beginning of the Phanerozoic, associated with the CIR during the Fortunian. Peaks in ichnodissimilarity and the high balance indices during this period signal the onset of the FDE.

The evolution of more complex animal behaviors and the exploration of deeper tiers/broader territories were rooted in the Fortunian, but prospered later in Cambrian Stage 2. This ethological diversification and the establishment of conveyors and regenerators was characterized by the appearance of new and more efficient feeding strategies and deep vertical burrow systems with passive and active infills. This also served to shift the dominant mode of bioturbation from diffusion to advection of solid sediment/nutrient particles (but this was not necessarily true for oxygen; e.g., see Cribb et al. Reference Cribb, van de Velde, Berelson, Bottjer and Corsetti2023), which may have been associated with an increase in the extent of the mixed layer. These novel three-dimensional organism–substrate interactions became dominant in Cambrian Stage 2, marked the onset of the AR, and paved the way for the later, more vigorous diversification of animal crown-groups and the Cambrian substrate revolution. Many tracemakers also experienced a second, but lower, peak in Cambrian Stage 3, mainly due to increases in abundance, but also with limited diversification. This corresponds with the expanded global genus-level body fossil record, where Bauplans and behaviors are more conserved and could lead to similar trace morphologies. But later on during Stage 4, a loss of abundance or even extinction was observed. The lowest ichnodissimilarity at Cambrian Stage 4 is also believed to be a result of fully exploited living strategies (e.g., feeding, moving) and niches. The origination (Fortunian)–expansion (Cambrian Stage 3) two-phase pattern is identified through analyses.

Furthermore, we find evidence for asynchrony of evolution in shallow- and deep-marine environments, indicating a more rapid evolutionary radiation in benthic regions during the Ediacaran–Cambrian interval. The lower dissimilarity of trace records during the Ediacaran also indicates an overlapped niche, which then became more specialized during Cambrian explosion.

Our measure of ichnodissimilarity could also be used to analyze diverse aspects of trace fossil diversity and abundance, such as the evolution of architectural designs, which might provide a more objective insight into the divergence of organismal body plan and mobility. Vectorizing trace fossil data could also help reveal hierarchical relationships by assigning different dimensions or positions to taxonomic units, and could be seamlessly integrated into various multivariate statistical techniques such as ordination methods, multivariate regression, and dimensionality reduction, as well as deep learning approaches. We therefore believe that the proposed metrics represent powerful tools to investigate how evolution took place during critical events in Earth's history. This could provide new insights into how body plans, behaviors, and niches diversified in different environments during the emergence of complex animal life. Methodologically, the proposed metrics are also applicable to body fossil and extant animal databases.

Acknowledgments

This work was supported by funding from the Royal Society and the K.C. Wong Education Foundation to Z.W. (NIF R1 221871). We thank A. Bush, A. Cribb, and the anonymous reviewers for helpful comments on an earlier version of this article.

Competing Interest

The authors declare no competing interests.

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Figure 0

Figure 1. Diagram showing how the angle representing the dissimilarity between two vectors can be divided into increased (In) and decreased (De) components of occurrences. Only when the gained and lost occurrences are balanced (A), can the two angles split by the mean vector be equal. If the loss of occurrences is higher (B), the mean vector becomes closer to vector 1.

Figure 1

Table 1. Samples from four sites, where A–N represent different species.

Figure 2

Table 2. Theoretical probability of occurrence of each element in the benchmark and the 10th testing case.

Figure 3

Figure 2. Variation in dissimilarity (D) across a number of shared elements (Mth case) compared with the benchmark: proposed vector-based dissimilarity versus Morisita-Horn (M-H) dissimilarity.

Figure 4

Figure 3. Convergence study. The obtained dissimilarity (D) converges on 0.5 with increasing numbers of observations.

Figure 5

Table 3. Marine trace fossils from the Ediacaran to Cambrian Epoch 2. Numbers in cells indicate the number of sites where a given ichnogenus has been found. Different cell shadings correspond to shallow (gray), deep (orange), and eurybathic (blue) trace fossils. W, White Sea; N, Nama; F, Fortunian; S2, Cambrian Stage 2; S3, Cambrian Stage 3; and S4, Cambrian Stage 4. Ethological categories (behaviors): A, agrichnia (farming or parenting); C, cubichnia (resting); D, domichnia (dwelling); E, equilibrichnia (balancing its position against sedimentary events); F, fodichnia (feeding); P, pascichnia (grazing); and R, repichnia (locomotion). Functional groups: B, biodiffusive bioturbators; C, conveyors; E, epifaunal bioturbators; G, gallery biodiffusors; R, regenerators; and S, surficial modifiers.

Figure 6

Figure 4. Ichnological dissimilarity (A) and balance indices (B) across the Ediacaran–Cambrian. A, Dissimilarity is most evident at the Ediacaran/Cambrian boundary, decreasing through the Cambrian. B, Balance indices for occurrences (line) and origination and extinction (dashed line) across the Ediacaran–Cambrian. Values above 0.5 indicate that the contribution from increasing numbers of taxa is greatest; values below 0.5 indicate that the contribution from the loss of taxa or abundance is greatest. The balance index for occurrences peaks at the boundaries between the Ediacaran and the Cambrian and between Cambrian Stages 2 and 3, before declining at the boundary between Cambrian Stages 3 and 4. The second peak is a result of increased occurrences rather than the origination of new body plans, as shown by the low value of the balance index for origination and extinction.

Figure 7

Figure 5. Evolution of animal behaviors across the Ediacaran–Cambrian. A, Dissimilarity. Grazing traces (pascichnia) peak at the Ediacaran–Cambrian interface, while dwelling traces (domichnia) and locomotion traces (repichnia) peak later on, after the Fortunian Stage. Complicated behaviors like parenting and farming (agrichnia) experienced a later divergence at the end of Cambrian Stage 2. In all cases, dissimilarity decreased after Cambrian Stage 3. B, Balance index for occurrences. Pascichnia and agrichnia reached the peak of diversity and abundance at the interface between Cambrian Stages 2 and 3, while repichnia and domichnia had another peak at the Ediacaran–Cambrian interface. All the behaviors experienced reductions in abundance or even taxa at Cambrian Stage 4. C, Balance index for origination and extinction. All the categories but agrichnia peaked at the Ediacaran/Cambrian boundary, with repichnia and pascichnia experiencing a second smaller peak at the boundary between Cambrian Stages 2 and 3.

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Figure 6. Typical Cambrian grazing trace fossils: Oldhamia(A) shows evidence of phobotaxis and thigmotaxis; Psammichnites(B) shows evidence of strophotaxis. These complex grazing traces first appeared in the Fortunian stage; photos adopted from Seilacher et al. (2005) and Mángano and Buatois (2020). Typical field photos of the vertical and subvertical dwelling burrows Skolithos(C), two opening of U-shaped Arenicolites(D), and Diplocraterion(E), which first appeared during Cambrian Stage 2; photos adopted from McIlroy (2017) and our collections from Shiyantou Formation, Yunan, China, and Hardeberga Formation, Bornholm, Denmark (Cambrian Stage 2). Arthropod trackway Diplichnites(F) from Cambrian Stage 2 (Pandey et al. 2014); and putative farming traces Paleodictyon cf. imperfectum(G) from the Goldenville Group, Nova Scotia, Canada (Pickerill and Keppie 1981). Scale bars, 1 cm.

Figure 9

Figure 7. Exploration of function groups and niches across the Ediacaran–Cambrian interval. E, epifaunal bioturbators; SM, surficial modifiers; B, biodiffusive bioturbators; R, regenerators; C, conveyors; G, gallery biodiffusors. A, Dissimilarity: epifaunal bioturbators and surficial modifiers experienced massive divergence at Ediacaran/Cambrian boundary, regenerators and conveyors significantly increased after Fortunian, while gallery biodiffusors and biodiffusive bioturbator reached their peak at the interface between Cambrian Stages 2 and 3. B, Balance index for occurrences: almost all functional groups experienced a two-peak increase in diversity and occurrences at the Ediacaran–Cambrian interface and the interface between Cambrian Stages 2 and 3. C, Balance index for origination and extinction: shallow niches experienced origination earlier than deeper niches, and a small origination happened during Cambrian Stage 3.

Figure 10

Figure 8. Ichnological dissimilarity (green values), balance index for occurrences (black values), and balance index for origination and extinction (blue values) in different environments across the Ediacaran–Cambrian interval. The dissimilarities between geological intervals at shallow-marine settings (rippled background) is higher than those of the deep-marine settings (dotted background), with slightly higher balance indices especially at the Ediacaran/Cambrian transition. Dissimilarity (beta diversity) is low between contemporaneous shallow- and deep-marine environments during the Ediacaran, while higher during the Cambrian, but shallow-marine settings always has more abundance and taxa than deep-marine settings.