Abstract
The most important archive of Earth’s climate change through geologic history is the sedimentary rock record. Rhythmic sedimentary alternations are usually interpreted as a consequence of periodic variations in the orbital parameters of the Earth. This interpretation enables the application of cyclostratigraphy as a very precise chronometer, when based on the assumption that orbital frequencies are faithfully recorded in the sedimentary archive. However, there are numerous uncertainties with the application of this concept. Particularly in carbonates, sediment properties such as mineralogical composition and fossil associations are severely altered during post-depositional alteration (diagenesis). We here point out that the assumption of a 1:1 recording of orbital signals in many cases is questionable for carbonate rhythmites. We use computer simulations to show the effect of diagenetic overprint on records of orbital signals in the carbonate record. Such orbital signals may be distorted in terms of frequency, amplitude, and phase by diagenetic processes, and cycles not present in the insolation record may emerge. This questions the routine use of carbonate rhythmites for chronostratigraphic dating.
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Introduction
The interpretation of rhythmic and cyclic sediment successions as a record of temporal signals is a central topic of modern sedimentology (e.g., de Boer and Smith 1994; Einsele et al. 1991; Fischer and Bottjer 1990; Herbert and Fischer 1986). Since the study of the Late Pleistocene by Hays et al. (1976), the concept of orbital forcing (cyclic variations of the orbital parameters of the Earth influencing climate with periodicities of about 20, 40, 100, and 400 ka [kilo years]) has become a particularly important approach and is employed for process studies, cyclostratigraphic correlations, and chronostratigraphic calibration (e.g., de Boer and Smith 1994; Fischer and Bottjer 1990). Orbital signals are thought to be translated into the rock record, e.g., via fluctuations in temperature, sea level, or currents, as variations in mineralogical composition, fossil assemblage, or sedimentary structures such as lamination and bioturbation. The discovery of rhythmic sedimentary successions as manifestation of climate change even in non-glacial times was a breakthrough in climate research (Herbert and Fischer 1986). It provided the link between orbital cycles (precession, eccentricity, and obliquity) and processes on the Earth, and resulted in the detection of orbital signals in many ancient sedimentary successions (e.g., Arthur et al. 1986; de Boer and Wonders 1984; Schwarzacher 1987b). The method of using sedimentary cycles for astronomical high-resolution dating of stratigraphic sequences has proven useful for many successions throughout the geological record (e.g., Hilgen et al. 1993; Schwarzacher 1987a; Shackleton et al. 2000). This chronostratigraphic approach is based on the fundamental assumption that a significant part of the orbital cyclicity, manifest as insolation changes, is translated into sedimentary sequences without considerable modification of the orbital forcing frequencies. A summary of theory and application of the orbital forcing (“Milankovitch”) theory on stratigraphy is given by Hinnov (2000).
An important difficulty in interpreting sedimentary successions as temporal records is that the sediment column never represents temporal changes of sedimentary influx through time in a precisely linear manner (Herbert 1994). Distortions of the record by variations in sedimentation rate and by penecontemporaneous disturbances of the sediment such as bioturbation have been addressed in numerous studies (e.g., Herbert 1994; Kominz 1996; Weedon 2003, p.129 ff). The resulting effects including the suppression of higher frequencies and the generation of harmonics are well understood (Herbert 1994; Weedon 2003, p.129 ff). However, in addition to those disturbances potentially present in any sedimentary succession, siliciclastic and calcareous rhythmites alike, an additional source of distortion is inherent to calcareous rhythmites: differential diagenesis. The term differential diagenesis (Reinhardt et al. 2000; Westphal et al. 2000) describes that the intercalated lithologies (limestone beds and interlayers) have undergone different diagenetic paths, e.g., with respect to compaction. While variations of sedimentation rate usually reach a factor of 1:2 to 1:4 (Herbert 1994), differential compaction approach a much higher ratio (Munnecke et al. 2001) and therefore can lead to even more severe distortions. Unrecognized distortions in the time-depth relationship lead to smearing and splitting of spectral peaks (Schiffelbein and Dorman 1986; Weedon 1989). The present study focuses on this specific property of calcareous rhythmites which, similar to siliciclastic rhythmites, commonly are interpreted as archives of orbital signals (among many others: Barron et al. 1985; Bellanca et al. 1996; Cleaveland et al. 2002; Hinnov et al. 2000; Hilgen et al. 2003). Calcareous rhythmites, which include the well-known class of limestone-marl and limestone-shale alternations, are characterized by periodic intercalations of distinct types of rocks: Limestone beds in such rhythmites usually are cemented and uncompacted to slightly compacted. In contrast, the marl or shale interlayers always are strongly compacted (e.g., Ricken 1986, 1987, 1992). This is one expression of the characteristic differential diagenesis of calcareous rhythmites where limestone beds follow a different diagenetic path than marl or shale interlayers (e.g., Munnecke and Samtleben 1996; Westphal et al. 2000). Carbonate diagenesis involves considerable redistribution of calcium carbonate by processes of dissolution and cementation, potentially leading to a thorough reorganization of various sediment parameters overprinting and disguising primary signals.
For meaningful interpretation of such rhythmites, the fundamental question needs to be discussed whether such periodic alternations of limestone beds and interlayers always represent a faithful record of environmental rhythms. A number of recent observations suggest a careful scrutiny of this hypothesis. For example, diagenetically inert organic microfossil assemblages, which are sensitive to environmental changes, have been shown to lack systematic differences between limestone beds and marl interlayers of several rhythmic successions (Courtinat 1993; Westphal et al. 2000, 2004). This implies that the rhythmic alternation of lithologies might not directly reflect environmental fluctuations. Another frequent observation is the presence of significant variations in the rock record at frequencies not present in the orbital forcing signal. For example, in Miocene rhythmites from the slope of Great Bahama Bank, drilled during ODP Leg 166, a prominent non-orbital 11-ka cyclicity is present. Moreover, in these Miocene rhythmites a discrepancy exists between power spectra recorded in gamma-ray signals and in stable isotope data, where the first show several stronger high-frequency peaks than the latter (Eberli 2000). Extra peaks usually are interpreted either as harmonics and combination tones of the orbital periods, or are thought to indicate nonlinearity in the climate’s response to orbital forcing (Elkibbi and Rial 2001). However, it is as yet unknown exactly what nonlinear mechanisms in the climate system could be responsible (Elkibbi and Rial 2001). A further unexplained phenomenon is a strong shift in amplitude as observed in some calcareous successions where the strength of the eccentricity signal is far out of proportion compared to the other orbital frequencies (Cleaveland et al. 2002). These dynamical phenomena are not easily explained by a one to one recording process of a pure orbital signal where each orbitally caused fluctuation in insolation is represented by a lithology change. Another, at first sight unrelated, observation points at strong dynamical processes in the course of transmission and recording of environmental signal in calcareous rocks. In the aftermath of the K/T boundary event, D’Hondt et al. (1996) observe a strong cyclicity in South Atlantic sediments, reminiscent of a damped oscillation triggered by a strong perturbation at the event. While a possible cause could be a reverberation of the oceanographic system, as discussed by these authors, dynamical processes in the diagenetic system could in principle generate a similar phenomenology.
One link in the recording chain of environmental signals in calcareous rhythmites is an explicitly dynamical process: the diagenesis of the carbonate succession. Despite this obvious possibility of serious modifications of sediment properties, careful discussions of possible effects of diagenetic dynamics on the environmental (orbital) record in calcareous rhythmites are still rare. This paper aims at contributing to a much-needed critical discussion on the preservation of orbital records in calcareous rhythmites.
Approach
Calcareous sediments, including calcareous rhythmites, are prone to thorough diagenetic alterations that may considerably modify sediment properties (such as mineralogical composition, fossil associations, geochemical proxies, geophysical properties; e.g., Bathurst 1987, 1991; Dullo 1984; Frank et al. 1999). In addition, calcareous rhythmites are characterized by differential diagenesis where limestone beds undergo pronouncedly different modifications than marl or shale interlayers (Munnecke and Samtleben 1996; Westphal et al. 2000). Transport of considerable amounts of dissolved calcium carbonate from the marl or shale interbeds and its reprecipitation as cement in limestone beds leads to extensive reorganization of the sediment. Limestone beds receive cement and are mechanically stabilized, and at the same time, marl layers are strongly compacted (“receiver” and “donor” beds of Bathurst 1971). This differential alteration introduces a way for diagenetic distortion of recorded external signals. It is still subject to controversy whether diagenesis simply reinforces or overprints primary variations of rock properties, or if diagenesis possibly modifies or even creates the sedimentary rhythms (e.g., Hallam 1964, 1986; Munnecke 1997; Böhm et al. 2003). Purely diagenetic rhythmites have been rejected by most researchers because of the typically observed large horizontal continuity over up to tens of kilometers of individual rhythmite layers (Böhm et al. 2003; Einsele 1982). In more recent years, studies of process-based diagenetic models have laid the foundation for more detailed investigations of diagenetic dynamics (Jenkyns 1974; Ricken 1986; Munnecke and Samtleben 1996; Westphal et al. 2000). Meanwhile computer implementations allow simulating spatial and dynamical aspects of carbonate rhythmite diagenesis (Böhm et al. 2003). Such simulations can be used to explore possible effects of diagenesis on the recording of environmental signals in calcareous rocks. Here we use this approach in order to study the recording of orbitally induced insolation changes in carbonate rhythmites (Fig. 1). As Herbert (1994) put it, any model simplifies reality, but nevertheless it can add perspective to complex subjects such as climatic frequency analysis of sediments.
Recent studies have demonstrated that differential diagenesis typical of calcareous rhythmites involves early diagenetic redistribution of sedimentary aragonite that is dissolved in marl layers and reprecipitated as calcite cement in limestone beds (Munnecke 1997; Munnecke et al. 1997; Westphal 1998; Westphal et al. 2000). The processes of early differential diagenesis of initially aragonite-bearing sediments are in contrast to diagenesis of pure calcitic sediments that are mainly altered by pressure dissolution and reprecipitation during deep burial diagenesis (Ricken 1986). The fact that aragonite-driven differential diagenesis occurs close to the sea-floor prior to the onset of mechanical compaction is manifested in the uncompacted to only slightly compacted nature of the limestone beds. During this differential diagenesis, sediment properties of limestones and marls diverge – e.g., carbonate contents of limestones increase whereas carbonate contents of marls decrease (Munnecke and Samtleben 1996). In the aragonite-based diagenesis model of Munnecke and Samtleben (1996), as implemented by Böhm et al. (2003) a three-step diagenetic process is postulated (Fig. 1A). (1) After deposition, an aragonite-bearing sediment layer is slowly buried and passes through a stationary aragonite dissolution zone (presumably related to bacterial activity; see Canfield and Raiswell 1991), where aragonitic constituents are selectively dissolved. Calcite and insolubles are not affected. At least part of the dissolved calcium carbonate migrates upward by diffusion where it is reprecipitated as calcite cement, thereby drastically reducing the permeability of the overlying layer and protecting it against aragonite dissolution during its later migration through the aragonite dissolution zone. (2) When this cemented layer enters the aragonite dissolution zone, less aragonite is dissolved and consequently less dissolved calcium carbonate is available for cementing the layer above this cemented layer. (3) Upon entering the aragonite dissolution zone, this new uncemented layer again is subject to aragonite dissolution because no cementation is sealing it. This model potentially leads to a self-organized oscillation between carbonate receiver and carbonate donor beds (limestones and marls), even when starting from homogeneous sediment (Munnecke 1997). Rhythmic processes are well known to occur in geological systems at moving reaction fronts in media out of thermodynamic equilibrium (e.g., Chen et al. 1990; Hoskin 2000).
If aragonite is a limiting factor of differential diagenesis, then diagenetic redistribution of calcium carbonate can be calculated (Munnecke et al. 2001; Munnecke and Westphal 2004). It has been estimated that aragonite concentrations of 10–20% of the original sediment are sufficient for this type of rhythmic diagenesis (Munnecke et al. 2001). This model is based on multi-proxy studies of calcareous rhythmites and explains numerous otherwise enigmatic features of calcareous rhythmites, e.g., the typically higher concentration of calcareous nannoplankton in marl layers that according to the model are passively enriched in the marls (Munnecke and Samtleben 1996; Munnecke et al. 1997; Westphal et al. 2000).
We use a cellular automata model to simulate the relevant key mechanisms of this differential diagenesis model. In this approach, macroscopic volume elements of sediment are represented as “cells”, each being in one of a few simplified states, and all cells being subject to simple dynamical rules that determine how their state changes in time in dependence of the states of their neighbor cells. This coarse-grained level of abstraction allows to manage computer simulations of dynamical processes on geological scales in time and space (a strategy that proved successful, e.g., in stratigraphic simulations).
The specific model considered here consists of a two-dimensional, rectangular matrix (500×800 cells) representing a vertical cut through the sediment column and with horizontal rows of cells corresponding to stratigraphic layers. Sedimentation pushes the layers downwards and a sedimentary column exits the diagenetically active region at the bottom. Each cell is in one of three states (Fig. 1B; Fig. 2): (1) aragonitic, consisting of aragonite, calcite and clay minerals; (2) cemented, where calcite cement is added to the immature sediment; and (3) non-aragonitic, either originally aragonite-free sediment consisting of calcite and clay minerals, or aragonite-depleted diagenetically mature sediment consisting of calcite and clay minerals. Aragonitic (state 1) cells can be subject to aragonite dissolution, which transforms them into non-aragonitic (state 3) cells. Cementation, in contrast, converts aragonitic (state 1) and non-aragonitic cells (state 3) into cemented (state 2) cells. Layers of cemented and non-aragonitic (aragonite-depleted) cells form limestone beds and marls interbeds, respectively. With each time step, the cells of a layer are moved one layer downward. Subsequently a new, uppermost layer with new sediment is added. The sediment in the new cells is either aragonitic (state 1) or non-aragonitic (state 3). Aragonitic and non-aragonitic cells are randomly distributed in the new layer. Their relative percentage is a parameter of the model. One may vary it systematically between layers, e.g., to simulate an external trigger (see below). A dissolution zone of specified thickness of one to several layers is located in a specified depth. As a layer passes through the dissolution zone, state (1) cells are checked in random order for dissolvable aragonite. For each cell from which aragonite is dissolved, a specified number of cells in the cementation zone are instantly cemented. The cementation zone is situated at a specified distance above the aragonite dissolution zone. Both aragonitic and non-aragonitic cells can be cemented in the cementation zone. If there is no cell available for cementation, the dissolved carbonate is lost from the system. For a detailed description of the cellular automata model setup, the reader is referred to Böhm et al. (2003).
In this rhythmic diagenesis model, diagenesis may produce self-organized layers in carbonate sediments by a process of aragonite dissolution and calcite reprecipitation. During early sediment burial, early-cemented limestone beds may interact with the dissolution zone inducing a feedback mechanism that may result in oscillatory modulation of bed formation (“diagenetic oscillator”; Böhm et al. 2003). Combining this diagenetic oscillator with a weak external signal results in lateral correlation of the oscillations manifested as layers (i.e., external signals correlate layers, however, they are not needed for initiation of layer- or nodule-formation itself). Whereas input mineralogy is directly controlled by orbital cycles, the diagenetic oscillator is depth-related and not time-related and is controlled by internal feedback. The feedback mechanism between the aragonite contents and the diagenetic oscillator is realized by the variation in cementation depending on primary aragonite in the pristine sediment.
Let us here translate temporally varying insolation into a sediment property by modulating the aragonite contents of a newly deposited layer as a linear function of summer insolation at 65°N (Berger and Loutre 1991). In nature, such variations in aragonite can result, e.g., from sea-level fluctuations (Droxler et al. 1983). We then investigate the possible modification of the sedimentary manifestation of orbital signals in carbonate successions by diagenetic processes. Several simulation runs were carried out with different depths of the diagenetic zones (aragonite dissolution and cement precipitation), resulting in diagenetic cycles of variable frequencies (Table 1).
During continuing diagenesis, uncemented marl beds will undergo strong compaction, whereas the cemented layers will not be subject to considerable mechanical compaction (e.g., Munnecke et al. 1997; Westphal and Munnecke 1997; Westphal et al. 2000). This compaction results in additional distortions and in uncertainties of depth-to-time transformation (cf. Hinnov 2000). For the simulations presented here, the further distortion of the primary signal by differential compaction is not considered. The frequency analyses shown here deal with the uncompacted sediment column that represents the time domain and corresponds to the decompacted succession.
Results
In the model simulation, the (external) cyclicity imposed on the sedimentary succession by the varying aragonite input interacts with the (internal) diagenetic dynamics and leads to interesting and unexpected dynamical effects. Our main observation is that this interaction leads to complicated modifications in the recording of the external signal in the sediment.
Firstly, varying the diagenetic frequency by employing different depths of the diagenetic zones, while using an identical insolation signal in every simulation run, results in distinctly different diagenetically mature limestone-marl rhythmites (Fig. 3-I). The resulting rhythmites vary with respect to lateral continuity of the individual layers (continuous in Fig. 3-I C; discontinuous in Fig. 3-I A), layer thickness (thicker in Fig. 3-I F than in Fig. 3-I E), and bundling of the layers (i.e. larger scale-variations of thickness of limestone layers and/or marl interbeds; e.g. Fig. 3-I B and 3-I C).
Furthermore, spectral analyses (maximum entropy method) demonstrate the type of distortions of the insolation signals in more detail (Fig. 3-II). Four different types of distortions are observed: (1) Diagenesis can modify the amplitudes of the cycles of sediment composition generated by varying insolation. It can amplify originally weak signals (e.g. the 11 ka peak in Fig. 3-IIC). (2) New frequencies not represented in the insolation curve can emerge (e.g., 12 ka and 114 ka peaks in Fig. 3-IIA. (2) Spectral peaks present in the frequency spectrum of the insolation curve can be suppressed (e.g. the 21 ka peak in Fig. 3-IIF). (3) Spectral peaks of the insolation spectrum can be displaced towards higher or lower frequencies (e.g. the 41-ka peak in Fig. 3-IIB). Thus, the simulations demonstrate that the inherent dynamics of differential diagenesis, typical for many calcareous rhythmites, has the potential to severely modify the record of primary (orbital) signals.
Discussion
The modifications of the diagenetic frequencies and amplitudes can lead to seriously misleading results and therefore have strong implications for the interpretation of the signal recorded in the rock record. In calcareous rhythmites that have undergone differential diagenesis, peaks in spectral analyses do not necessarily reflect primary signals. Especially when undertaking orbital tuning, power can be shifted from diagenetically caused frequencies to orbital frequencies (cf. Shackleton et al. 1995). On the other hand, a lack of clear orbital cycles in a carbonate sequence does not necessarily imply that it was not forced by orbital cycles—they could be disguised by diagenesis. For assessing the presence and nature of pre-diagenetic differences in calcareous sediments, diagenetically inert parameters need to be carefully examined. Rock properties commonly used for frequency analyses such as sonic velocity, natural gamma ray, and carbonate contents are influenced by diagenesis. In contrast, diagenetically inert parameters that are not influenced by redistribution of calcium carbonate during diagenesis include for example palynomorph assemblages (not the absolute quantities per gram sediment!) and the ratio of immobile chemical elements (again: not the quantities!) (e.g., Munnecke et al. 2001; Westphal et al. 2004). Several studies have shown that in the calcareous rhythmites examined, no unequivocal and diagenetically robust manifestation of rhythmic climate change was detected, implying that interpretation has to be undertaken with caution (e.g., Hallam 1964, 1986; Jenkyns 1974; Eder 1982; Munnecke and Samtleben 1996; Westphal et al. 2000, 2004). Clearly there is nothing like homogeneous sediment, however the absence of unequivocal primary differences suggests that there were no pronounced systematic variations as cause for the rhythmic calcareous alternations. Diagenetically inert parameters that fluctuate on a larger scale than the rhythmic alternations (e.g., Westphal et al. 2004) could reflect the larger scale climate signal that acted as external synchronization mechanism of diagenesis.
Beyond simply questioning straightforward interpretation of calcareous rhythmites, our model results offer a solution to several problems of the astronomical theory. The diagenetic phenomena observed in the simulations (amplitude modification, suppression, displacement, emergence) provide a possible explanation for several of the controversial phenomena observed in real-world calcareous rhythmites:
The lack of systematic differences in palynomorph assemblages between limestones and marls as observed e.g. by Courtinat (1993) and Westphal et al. (2004) is in accord with the hypothesis that in a system severely influenced by differential diagenesis, the position of limestone and marl layers in the sedimentary column is not necessarily consistent with initial orbitally forced variations. It demonstrates how “non-orbital” frequencies can arise naturally through diagenetic post-depositional processing of the sedimentary record, and provides a mechanism for the occurrence of amplitude shifts. Such an oscillatory feedback could potentially mimic orbital forcing.
The observed discrepancy between power spectra of different measured parameters (e.g., Eberli 2000) could reflect the different sensitivity of those parameters to diagenetic overprint. The diagenetic oscillator implemented in our model depends on an external trigger as synchronization mechanism. A strong sudden event could act as such a trigger, causing the diagenetic system to reverberate strongly and produce pronounced limestone-marl rhythms. Calcareous sediments deposited prior to the trigger event might show slight variations in numerous parameters that suddenly increase in their amplitudes after an external event synchronized and excited diagenetic oscillations. With the lack of a further synchronization mechanism, this cyclicity slowly decays and gives way to a rather chaotic succession of limestone and marl layers (Böhm et al. 2003). This could possibly explain a behavior as that observed for the aftermath of the K/T boundary event described before (D’Hondt et al. 1996).
Thus, carbonate redistribution during differential diagenesis does not only result in a modification of the amplitude of the primary signal (Ricken 1986, 1987), but also in a forgery of the record of primary cyclicity that might not be easily detected. Missing out such a distortion could lead to incorrect results of cyclostratigraphic and chronostratigraphic interpretations.
Conclusions
We conclude that straightforward use of calcareous rhythmites as chronostratigraphic tool is problematic. There may have been over-ambitious interpretations in the past that have not considered possible diagenetic distortions as the ones discussed here. Orbital tuning appears particularly questionable in calcareous rhythmites, where only diagenetically instable parameters (such as carbonate content) are considered. Similarly, the interpretation of peak heights to estimate the amplitude of environmental change (such as sea-level fluctuations) on the basis of limited parameters is prone to misinterpretations. A renewed view of the diagenesis problem of calcareous rhythmites demonstrates that paleoclimatic interpretations based on relative peak heights, cyclostratigraphic correlation, and chronostratigraphic orbital calibration may produce misleading results and need to be undertaken with extreme caution.
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Acknowledgements
The authors are indebted to Axel Munnecke for inspiring discussions and revision of a previous version of the manuscript. Reviews by Roy Plotnick and Graham Weedon considerably improved this paper. This project was supported by the German Science Foundation DFG (We-2492/1).
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Westphal, H., Böhm, F. & Bornholdt, S. Orbital frequencies in the carbonate sedimentary record: distorted by diagenesis?. Facies 50, 3–11 (2004). https://doi.org/10.1007/s10347-004-0005-x
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DOI: https://doi.org/10.1007/s10347-004-0005-x