The volcanic history of Olympus Mons from paleo
Transcription
The volcanic history of Olympus Mons from paleo
Earth and Planetary Science Letters 363 (2013) 88–96 Contents lists available at SciVerse ScienceDirect Earth and Planetary Science Letters journal homepage: www.elsevier.com/locate/epsl The volcanic history of Olympus Mons from paleo-topography and flexural modeling Ryan J. Isherwood, Lauren M. Jozwiak 1, Johanna C. Jansen, Jeffrey C. Andrews-Hanna n Department of Geophysics and Center for Space Resources, Colorado School of Mines, USA a r t i c l e i n f o a b s t r a c t Article history: Received 25 July 2012 Received in revised form 11 December 2012 Accepted 13 December 2012 Editor: T. Spohn Paleotopography and flexural modeling are here used to constrain the formation history and eruption rates of Olympus Mons, the tallest shield volcano on Mars. The timing of the initiation of significant edifice construction is constrained using lava flows whose paths deviate significantly from the downslope direction of the present-day flexural trough, and thus are classified as topographically discordant. Flexural models are used to place limits on the fraction of Olympus Mons that could have been present at the time of emplacement of one strongly discordant flow. Comparison of the predicted flexural response with the paleotopography indicates that no more than 29–51% of the volume of Olympus Mons could have been present at the time the discordant flow was emplaced. The end of the primary edifice construction stage is constrained by the formation of the aureole deposits, which are inferred to þ 0:05 þ 0:55 Ga for the discordant flow and 2:540:69 Ga for post-date the bulk of the volcano. The ages of 3:670:10 the aureole deposit span the period during which the majority of Olympus Mons formed, a period of þ 0:74 Gyr. The resulting eruption rate of 0.003–0.015 km3/yr is similar to that approximately 1:130:65 observed in terrestrial hot-spot volcanism, supporting a similar geodynamic mechanism driving shieldforming volcanism on Earth and Mars. After this period, the rate of volcanic resurfacing dropped off considerably, but low levels of volcanic activity have been maintained through the last several hundred million years. & 2013 Elsevier B.V. All rights reserved. Keywords: Mars volcanism paleotopography flexure 1. Introduction Olympus Mons is the largest known shield volcano in the Solar System, standing an average of 21 km above the Martian datum and up to 24 km above the surrounding plains. Olympus Mons is located to the northwest of the Tharsis rise and the somewhat smaller Tharsis Montes shields. As the largest single volcano on Mars, the volcanic history of Olympus Mons has important implications for the geodynamic history of Tharsis and Mars as a whole. Previous studies have shown that the age for the majority of the volcanic surface is 200 Ma (Basilevsky et al., 2006; Neukum et al., 2004; Robbins et al., 2011; Werner, 2009). However, the ages of isolated exposures of the surface date back to the Noachian and late Hesperian (Neukum et al., 2004). Although this suggests a long history of active volcanism, the specific volcanic history of Olympus Mons is difficult to work out. The fundamental problem is that crater retention ages date only the surface of the edifice, which is dominated by the youngest flows and may have little bearing on the age of the bulk of Olympus Mons. n Corresponding author. Tel.: þ1 303 273 3500. E-mail address: [email protected] (J.C. Andrews-Hanna). 1 Now at: The Department of Geological Sciences, Brown University, USA. 0012-821X/$ - see front matter & 2013 Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.epsl.2012.12.020 In this study, a combination of paleo-topography, flexural modeling and crater retention ages are used to investigate the volcanic history of Olympus Mons. To constrain the onset of volcanic loading, we focus on the prominent flexural trough surrounding the edifice, resulting from the deformation of the lithosphere by the volcanic load (Fig. 1). In Section 2, we identify lava flows on the outer margins of the flexural trough that deviate from the modern down-slope direction and thus pre-date the flexural trough. Because these topographically discordant flows formed prior to the topography of the flexural trough they must predate the bulk of the edifice volume. In Section 3, thin-shell spherical harmonic flexural models are used to evaluate what fraction of the edifice volume would have been needed to redirect one strongly discordant flow. To constrain the end of the main edifice-construction phase, we use the aureole deposits that are thought to have formed when Olympus was similar to its present-day size (McGovern et al., 2004a). The ages of the topographically discordant lava flow and the aureole deposits thus bracket the primary construction period of Olympus Mons. Section 4 uses crater size-frequency distributions to estimate the ages of these features. Using these constraints it is possible to constrain the eruption rate during the time in which the majority of the Olympus edifice formed and compare this with terrestrial volcanoes. R.J. Isherwood et al. / Earth and Planetary Science Letters 363 (2013) 88–96 89 Fig. 1. (a) MOLA topography (Smith et al., 2001) context map of Olympus Mons and the surrounding flexural trough. (b) MOLA topography and contour map showing the topographically discordant lava flow (arrows). (c) THEMIS daytime infrared image mosaic (Christensen et al., 2001) over the region shown in (b). 2. Paleo-topography analyses from lava flows on the flexural trough The concept of paleo-topography has been used in terrestrial geodynamics to reconstruct the vertical motions of the lithosphere (e.g., Liu and Gurnis, 2010), but has seen less use in planetary applications (Phillips et al., 2001). Our paleotopography reconstructions are predicated on the fact that fluids (e.g., lava) flow along the path of the steepest descent. Thus, the down-flow direction of a lava flow should match the down-slope direction at the time of its formation. Olympus Mons is surrounded by a large flexural trough that has been partially infilled by concurrent volcanic eruptions (Fig. 1a). We surveyed the inward-facing flanks of the flexural trough in Mars Orbiter Laser Altimeter (MOLA) topography (Smith et al., 2001) to identify topographically discordant flows whose paths deviate significantly from the down-slope direction. An analysis of six 90 R.J. Isherwood et al. / Earth and Planetary Science Letters 363 (2013) 88–96 typical flows in the region that did not display strong discordance with the local topography, revealed that they follow sinuous paths (Fig. 2), with a mean local deviation across all flows of 187121 from the regional down-slope direction, as determined by fitting a plane to the local topography. This value was adopted as a threshold angle between the down-flow and down-slope directions in order for a flow to be classified as topographically discordant. Flows exceeding the mean deviance of 181 are potentially topographically discordant, while those exceeding the mean plus 1-r deviance of 301 are strongly discordant. Without precise knowledge of the paleotopography at the time the non-discordant flows formed, this threshold deviance for classifying a flow as discordant may be biased to higher values by the potential inclusion of weakly discordant flows in the non-discordant category. With respect to the conclusions of this work, this bias would be conservative in allowing a greater fraction of Olympus Mons to have formed before the primary discordant flow that is the focus of this study. Several topographically discordant flows were identified on the slopes of the flexural trough that deviated from the downslope direction by more than this natural variability. One flow on the eastern part of the trough, originating near 22.01N, 242.51E, deviates from the down-slope direction by 42 7221 in the upper reaches, 197121 in its middle section, and 377231 in the lower reaches. Another flow originating near 34.01N 117.21E deviates from the down-slope direction by 26 7191, while a nearby flow originating near 31.81N 246.51E deviates by 217101. These latter two flows are crossed by arcuate graben that are related to the flexural stresses arising from Olympus Mons loading, providing further support for the interpretation that they pre-date a significant fraction of the edifice. However, these flows are near the limit to be considered significantly discordant, and are located sufficiently far from the edifice as to warrant concern over competing influences on the present-day topography (e.g., intrusive uplift or flexural loading associated with Alba Patera). In the northeast quadrant of the Olympus Mons flexural trough, one lava flow is oriented at an angle of 787341 away from the current down-slope direction (Fig. 1b). The slope on the surface of the flow in the down-flow direction is 0.11%, while the slope in the local down-slope direction is 0.33% towards the trough. This flow is located an average of 175725 km from the boundary where the trough fill meets the flexural slope, in a location where the presentday topography conforms to the expectation for the flexural slope on the outer flank of the trough. The implication is that this lava flow formed before the flexural trough altered the region’s topography. This flow will be the focus of the subsequent analyses, because of its location and strongly deviant path. Through flexural modeling and crater age dating, it will now be possible to constrain what fraction of Olympus Mons could have been in place at the time of formation of this flow without redirecting the flow of lava toward the present-day down-slope direction. displacements of the lithosphere (wlm): rc gh rm l lm 1 3rm 1 3rm gl ¼ 1 ð2lþ 1Þr al ð2l þ 1Þr wlm ¼ al ¼ t¼ s¼ D¼ ½lðlþ 1Þð1nÞ s½l3 ðl þ 1Þ3 þ4l2 ðl þ 1Þ2 4lðl þ 1Þ þ t½lðl þ 1Þ þ2 þ ½lðl þ 1Þ þ ð1nÞ ET e R2 g rm D R4 g rm ET e 3 12 1n2 ð1Þ where rc is the crustal load density, rm is the mantle density (assumed to be 3400 kg/m3), r is the mean planetary density (assumed to be 3940 kg/m3), n is Poisson’s ratio (assumed to be 0.25), E is Young’s modulus (assumed to be 100 GPa), Te is the lithosphere thickness, R is the mean planetary radius, g is the gravitational acceleration, r and t are the dimensionless constants, and D is the flexural rigidity (Johnson et al., 2000). The final topography is then simply the sum of the thickness of the applied load and the flexural deformation in response to that load. In this model a volcanic edifice of a fractional Olympus Mons was used initially, with a height of 2 km while keeping the flank slopes equal to the present-day values of 51. After the initial volcanic edifice emplacement, additional loading events were used to represent the volcanic infilling of the flexural trough resulting from the centralized loading, until a flat trough-fill surface was achieved with an elevation consistent with that of the present-day trough. Additional volcanic events were then modeled so as to bring the topography of the edifice up to cones of successively greater elevation, with slopes matching the observed values, flattened tops representing the caldera, and cut-offs to approximate the basal scarp. Each incremental loading event began with the load thickness from the previous iteration, and increased it so as to increase the preflexural height of the volcanic edifice by a prescribed amount (5 km in the early stages of construction, decreasing in the later stages), or to bring the pre-flexural surface of the trough fill up to the presentday level. Each edifice construction event increased the height by up to 4 km, including the resulting flexural subsidence. Multiple trough filling events were computed between each edifice construction event so that the trough fill would reach its present day level relative to the surrounding terrain. In this manner, each intermediate step in the modeled construction of Olympus Mons resulted in a volcano with flank slopes similar to the present-day slopes but a lesser total 3. Modeling of Olympus Mons loading and flexure 3.1. Methods In order to quantify the fraction of the volume of Olympus Mons that would be required in order to deviate the flow from the down-slope direction, thin-shell spherical harmonic models were used to examine the flexural response due to volcanic loading (Evans et al., 2010; Johnson et al., 2000; Willemann and Turcotte, 1981). This approach relates the spherical harmonic coefficients of the thickness of the load of degree l and order m (hlm) to the spherical harmonic coefficients of the membrane-flexural Fig. 2. MOLA topographic shaded relief map of a set of lava flows classified as nondiscordant. R.J. Isherwood et al. / Earth and Planetary Science Letters 363 (2013) 88–96 3.2. Flexural modeling results and implications for the paleotopography height (km) The models were first evaluated against the observed width of the flexural trough of 607742 km, measured from the center of the edifice to the outer edge of the trough fill. This value represents the average over the southeastern half of the volcano, as the trough and outer flexural bulge to the northwest are completely buried by lavas originating from within the flexural trough, possibly as a result of flood basalt eruptions associated with the early stages of a mantle plume (Fuller and Head, 2009). Given the range in the observed trough width, a broad range of lithosphere thicknesses and load densities are permissible (Fig. 4). Thicker lithospheres favor lower densities, while thinner lithospheres favor higher densities. For a given load density, a thinner lithosphere will result in a narrower flexural trough. For example, with a load density of 3050 kg/m3, a lithosphere thickness of 60 km results in a trough width of 578 km, while a lithosphere thickness of 80 km results in a trough width of 617 km. This approach does not result in a unique solution for the lithosphere thickness and load density, thus we adopt the best-fit load density of 3150 kg/m3 from McGovern et al. (2002, 2004b) in subsequent analyses. For this load density, the best-fit lithosphere thickness for the mean trough width is between 60 and 70 km. The trough width in the direction of the discordant flow is slightly greater 25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 ( 640 km) favoring an 80 km-thick lithosphere. These results are in reasonable agreement with the independent analysis of McGovern et al. (2002, 2004b), that favored a lithosphere thickness 470 km. As our primary interest is in reproducing the lithospheric flexure at the location of the discordant flow, the flexural profiles predicted by the model for a load density of 3150 kg/m3 and a range of lithosphere thicknesses were compared with the observed topographic profile through the discordant flow oriented perpendicular to the trough (Fig. 5). Because of asymmetries in the shape of the flexural trough, the position of the discordant flow is measured relative to the boundary between the inwards-facing flexural slope and the outer edge of the trough fill for comparison with the flexural models. The current downhill slope at the location of the discordant flow is 0.33% at a distance of 175 km from the edge of the trough fill. The mean value of the level of the trough fill adopted generates complications in the area of the discordant flow, where the elevation difference between the outer flexural bulge and the trough fill reaches a local maximum. This local variability would have only a modest effect on the total flexural response to the load, because the flexural response of a thick lithosphere effectively filters out the short wavelength variability in the load thickness. However, local variability in the observed level of the trough fill must be considered when comparing the flexural topography with the observations. This is accounted for by following the flexural profile below the surface of the model trough fill (dashed line in Fig. 5) to account for the locally shallower trough fill. The observed topography was then aligned with and compared to the modeled flexural profiles to match the slope and concavity (Fig. 5a). It is then possible to identify the lithosphere thickness that provides the best fit to the observed flexural profile at the discordant flow. 3300 3250 3200 ρ (kg/m3) height, and a flexural trough that is volcanically filled to the presentday level (Fig. 3). The trough-filling events contributed significantly to both the total volume of Olympus volcanics and the resulting flexural response of the lithosphere. The models were designed to match the present-day height of the edifice of 21 km relative to the trough fill on the highest side. The level of the trough fill relative to the surroundings is affected by a regional westward slope due to the location of Olympus on the edge of Tharsis. As a result, the level of the trough fill relative to the outer flexural bulge ranges from 0 km in the west, where the trough has been completely flooded by lava flows, to in excess of 2 km in the northeast. An average value of 1 km is adopted here as representative of the typical fill height of the trough volcanics relative to the surroundings. The model was used to investigate a range of lithosphere thicknesses and load densities. McGovern et al. (2002, 2004b) showed through analysis of gravity and topography admittance that Olympus Mons is supported by a lithosphere thickness of at least 70 km, with a best-fit load density of 3150 kg/m3. In this study, lithosphere thicknesses from 60 to 90 km, and load densities from 3000 to 3200 kg/m3 were considered. 91 3150 3100 Te=60 km Te=70 km Te=80 km Te=90 km 3050 3000 2950 550 600 650 trough width (km) 700 Fig. 4. The flexural trough width as a function of load density for lithosphere thicknesses of 60–90 km. The vertical dotted line represents the observed mean trough width of 607 km. T e =70 km T e =80 km trough width 0 300 600 900 1200 1500 1800 2100 0 distance (km) 300 600 900 1200 1500 1800 2100 distance (km) Fig. 3. Profiles of the surface and base of the Olympus Mons edifice and trough fill during incremental stages of its construction, for lithosphere thicknesses of 70 km (a) and 80 km (b). Note that the intermediate stages of construction (gray) represent the elevation of the surface and base of the edifice as they were at those times, and do not correspond to the present-day elevations of those now-buried surfaces. 92 R.J. Isherwood et al. / Earth and Planetary Science Letters 363 (2013) 88–96 Te=60 km Te=70 km Te=80 km Te=90 km 2.0 1.5 discordant flow elevation (km) 2.5 1.0 0.5 0 slope at discordant flow (%) 0 0.4 50 100 150 200 distance (km) 250 300 Te=70 km Te=80 km 0.3 0.2 0.1 0 −0.1 0 20 40 60 80 100 percent by volume of Olympus Mons Fig. 5. (a) Comparison of the observed topographic profile of the flexural trough through the discordant flow (red) to the flexural model predictions at the end of edifice construction for lithosphere thicknesses of 60–90 km (elevation is relative to the trough fill level). (b) The slope at the discordant lava flow as a function of the percent of Olympus Mons emplaced during incremental stages of its construction. The dashed lines indicate the observed slope at the discordant flow and the resulting constraints on the maximum volume of Olympus Mons in place at that time. Small dots represent incremental steps of edifice construction and trough in-filling, and large dots represent the final condition at each stage in the construction. (For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.) The results show that lithosphere thicknesses of 70 and 80 km both provide good matches to the observed topographic profile, again in agreement with the results of McGovern et al. (2002, 2004b). These models provide the best match to the overall slope and concavity of the profile, including that at the location of the flow, but slightly underestimate the flexure near the edge of the trough fill. Note that this approach implicitly assumes flat topography prior to loading by Olympus Mons, which is a reasonable approximation given the location of Olympus in the smooth volcanic plains outside of Tharsis. If the surface at the location of the profile analyzed here initially exhibited a significant westward dip due to a regional gradient away from Tharsis, then the reduced mean slope for the corrected topographic profile would provide a better match to thicker lithospheres. However, because this flow is nearly perpendicular to the flexurally generated down-slope direction, and the paleo-slope perpendicular to the flow direction should be zero, we infer that there is little contribution to the observed flexural profile from pre-existing slopes. Nevertheless, even allowing for changes in overall slope, the concavity of the observed profile still provides the best match to the 70–80 km thick lithosphere models. A variable lithosphere thickness surrounding Olympus Mons is suggested by the noncircular outline of the flexural trough, so values of both 70 and 80 km are considered in the following analyses. The 70 km lithosphere results in 26.8 km of downward flexure beneath the center of the edifice (Fig. 3a). The slope at the discordant flow is 0.28% and the trough width is 623 km, which falls within the observed range of 607742 km. The total volume of volcanics is 1.13 107 km3, 19% of which is contained within the edifice above the level of its base, while 81% is contained within the trough fill and the levels of the edifice below its base. A similar effect of lesser magnitude is observed in the volume distribution between the edifice and trough fill of smaller terrestrial shield volcanoes (Robinson and Eakins, 2006). A larger fraction of the total volcanic volume is contained within the filled troughs surrounding Venusian volcanoes for which the flexural troughs have been completely infilled (McGovern and Solomon, 1997). The 80 km lithosphere results in a slope of 0.40% at the discordant flow, a trough width of 643 km, and total downward flexure beneath the center of the edifice of 21.2 km (Fig. 3b). The total volume of volcanics is 1.01 107 km3, 79% of which is contained within the trough fill and 21% within the edifice above the level of its base. Note that the surface representing the summit during the early to intermediate stages of the construction history would now be buried to a level below the surrounding trough-filling volcanics because of the accumulated flexural subsidence during continued edifice growth. This continuing burial of the earlier volcanic surfaces and calderas is an expected outcome of shield construction (McGovern and Solomon, 1997). The predicted flexural slope at the location of the discordant flow was calculated throughout the modeled construction of Olympus Mons (Fig. 5b). It is now possible to use the predicted flexural response to Olympus Mons to determine what fraction of the rise could have been present at the time of formation of the discordant flow, without causing it to be oriented such that it flows down the flexural slope toward the trough. To do this, we find the point during the modeled construction of Olympus Mons at which the added flexural slope would be sufficient to first classify this flow as topographically discordant, using the criterion from Section 2 of an angle between the down-slope and down-flow directions exceeding 18.51. The application of this criterion is conservative, in that this flow maintains a consistent orientation over a much greater distance than the typical natural deviations from the down-slope direction observed in nondiscordant flows (Fig. 2). Taking the down-flow slope of 0.11% to represent the original pre-Olympus slope, then an added perpendicular flexural slope of 0.037% would be sufficient to re-orient the flow by 18.51. This added slope corresponds to the flexural response of a proto-Olympus Mons of 29% of its present-day volume for an 80 km lithosphere and 51% for a 70 km lithosphere. 4. Volcanic history 4.1. Constraints on the beginning and end of edifice construction The combination of the topographically discordant flow as an indicator of paleotopography and flexural modeling suggest that Olympus Mons had reached no more than 29–51% of its current volume at the time that this flow formed. This estimate is conservative, as the near-orthogonality of the flow with the slope of the flexural trough suggests that the flow likely formed prior to any flexural response to Olympus Mons loading. Thus, the age of the flow provides a constraint on the age of the early stages of significant volcanic construction. In order to constrain the end of the primary construction phase, we focus on the aureole deposits, which surround the main edifice of the volcano and extend up to 750 km away from the edge of the edifice. McGovern et al. (2004a) argued that the aureole deposits formed due to flank failure-induced landslides during the late stage of Olympus Mons growth. They showed that the volume of one of the aureole deposits matched the void volume within a concave embayment in the basal scarp surrounding the edifice. Significant continued buildup of the edifice R.J. Isherwood et al. / Earth and Planetary Science Letters 363 (2013) 88–96 following the formation of the aureole would have modified or even completely buried the basal scarp. Thus, the aureole deposits likely formed when Olympus Mons was similar in size to its present-day state. These aureole deposits have escaped the volcanic resurfacing that has dominated the Olympus Mons flanks and thus provide a better constraint on the age at which the bulk of the edifice was in place. 4.2. Crater retention ages We now have two features bracketing the bulk of Olympus Mons formation: the discordant flow northwest of the rise which formed when Olympus Mons was no more than 29–51% of its present-day volume, and the aureole deposits which formed after the edifice was essentially in its present-day form (McGovern et al., 2004a). Crater size-frequency distributions can now be used to determine model ages for these surfaces. Craters were counted over the discordant flow using THEMIS visible image data (Christensen et al., 2004), and the size-frequency distribution was matched to theoretical isochrons using the Craterstats program (Michael and Neukum, 2010). The crater retention age for the discordant flow was found to be þ 0:05 3:670:10 Ga (Fig. 6a), corresponding to the early Hesperian epoch. At this time, Olympus Mons had reached no more than 29–51% of its present-day volume. The aureole deposits preserve an imperfect record of craters due to the rough and blocky nature of the terrain. Craters formed in this rough surface will tend to be irregular in outline. The abundant steep slopes have a poor potential for crater preservation, while the smooth surfaces between the aureole blocks have experienced apparent resurfacing. Circular to quasi-circular depressions may be either true impact craters or may have formed through a different mechanism (e.g., collapse pits overlying fractures, or coincidental arrangement of aureole scarps in a quasi-circular geometry). Thus, crater retention ages of the aureoles may over- or under-estimate the true age. Nevertheless, the aureoles are useful as features that likely correspond to the late stages of Olympus Mons construction, while having escaped the continued volcanic resurfacing that has affected the flanks and caldera up through the present era. Hiller et al. (1982) determined ages of 3.63, 3.51, 3.68, and 3.67 Ga for Lycus Sulci, an unnamed aureole lobe due north of Olympus (hereafter the north aureole), Cyane Sulci, and Gigas Sulci, respectively. The north aureole corresponds to the study site of McGovern et al. (2004a), in which the volume of the aureole corresponds to the void volume within a concave embayment in the basal scarp. This aureole thus presents the strongest case for post-dating the bulk of the present-day edifice. We have recalibrated the age of the north aureole to the Hartmann and Neukum (2001) chronology, arriving at an age of 2.95 Ga. We also performed our own independent crater counts for the north aureole using a THEMIS daytime infrared image mosaic (Christensen et al., 2001). Candidate craters were assigned a subjective classification based on the confidence of their identification (possible, likely, and definite impact craters). Including all of þ 0:07 the potential craters, we obtained an age of 3:470:16 (Fig. 6b). Considering only the likely and definite craters, we find an age of þ 0:55 2:540:69 Ga, while the definite crater population alone results in þ 0:51 an age of 0:980:61 Ga. The 3.47 Ga age is likely an overestimate due to the inclusion of non-crater depressions, while the 0.98 Ga age is likely an underestimate due to the exclusion of imperfectly preserved craters, the poor preservation of craters on the steep slopes of the aureole blocks and the resurfacing in the spaces between blocks. The age from the likely and definite craters is adopted as the best estimate of the aureole age, which also provides the best match to the adjusted age from Hiller et al. (1982) and is consistent with the Early Amazonian classification of the aureoles by Scott and Tanaka (1986). This age range indicates an end to major edifice construction by the Early Amazonian. Several studies have examined the crater chronology of portions of the edifice itself. Neukum et al. (2004) examined the western basal scarp using HRSC data. The oldest age in that study of 3.8 Ga suggests that the edifice is older than the discordant flow, in apparent conflict with this study. However, that age is based on only 4 craters, each greater than 1 km in diameter. Examination of these craters reveals that all four are members of chains of 2–3 craters oriented approximately NW–SE in alignment with nearby tectonic features. These craters have a muted expression and rounded rims, with aspect ratios of 1.05–1.09. These observations all indicate that these are collapse pits rather than impact craters, and thus we do not give further consideration to the possibility of a 3.8 Ga age for the edifice. The next two oldest ages from that study of 2.97 and 3.34 Ga are consistent with the age of the aureole deposit, as well as with the interpretation of this study that the bulk of the edifice formed post3.67 Ga. Thus, although there is significant uncertainty in the age of the aureole in this study, it is supported by the broad agreement between all age constraints for the end of primary edifice construction from multiple aureole deposits as well as exposures of older surfaces on the edifice itself. Much younger ages in the range of 25–700 Ma have been found for the flanks and calderas, but these are representative only of the late-stage resurfacing of the edifice (Basilevsky et al., 2006; Neukum et al., 2004; Robbins et al., 2011; Werner, 2009). We adopt the age of north aureole deposit +0.05 3.67 - 0.10 Ga cum. crater density (km-2) cum. crater density (km-2) discordant trough flow 10-2 10-3 10-4 10-1 93 3.47 +0.07 -0.16 Ga 10-3 2.54+0.55 -0.69 Ga 0.98+0.51 -0.61 Ga 10-4 10-5 100 crater diameter (km) 101 10-1 100 crater diameter (km) 101 Fig. 6. Cumulative crater density plots for the discordant flow (a) and the north aureole deposit (b). The aureole isochrons show fits to all possible craters (top gray line), the definite and likely crater populations (black line), and the definite craters only (bottom gray line). 94 R.J. Isherwood et al. / Earth and Planetary Science Letters 363 (2013) 88–96 þ 0:55 2:540:69 Ga from the north aureole as a constraint on the end of the primary constructional phase of Olympus Mons, with ages at the upper end of this range supported by the crater retention ages from the aureole by Hiller et al. (1982) and from the western basal scarp by Neukum et al. (2004). 4.3. Volcanic construction history Combining the results from the paleotopography and flexural analysis with the crater retention ages, we find that at least 49–71% of Olympus Mons must have formed in the time period þ 0:05 þ 0:55 between 3:670:10 and 2:540:69 Ga. This corresponds to a conþ 0:74 struction period of less than 1:130:65 Gyr, and a volumetric eruption rate of greater than 0.003–0.015 km3/yr. These rates are conservative lower bounds, as the duration of volcanism was likely at the short end of the range, and we cannot exclude the possibility that 100% of Olympus formed during this interval. Thus, volumetric eruption rates during the primary period of Olympus Mons construction greater than 0.015 km3/yr appear likely. After the primary shield building phase, the eruption rate must have decreased dramatically. However, volcanic resurfacing has clearly continued to the present day as indicated by the young crater retention ages of the majority of the caldera and edifice surface (Basilevsky et al., 2006; Neukum et al., 2004; Robbins et al., 2011; Werner, 2009). This late-stage volcanism must have been sufficient to completely obscure the 2.5 Ga crater population on the surface of the edifice. Based on the surface area of the edifice, one would expect 15 craters greater than 3 km in diameter for an age of 2.5 Ga. Complete burial of the rim of a 3 km diameter crater requires volcanic resurfacing to a depth of 120 m, equating to a volume of 3.2 104 km3 over the entire edifice. This amount of resurfacing over a period of 2.5 Ga places a lower bound on the late-stage resurfacing rate of 1.3 10 5 km3/yr. An upper bound on the volume of late-stage eruptions can be arrived at by noting that although younger lavas over-spilled the basal scarp in places (Neukum et al., 2004), they have not significantly obscured the scarp or changed its topography adjacent to the north aureole. The volume of lava sufficient to fill this scarp in and restore the edifice to a conical shape was calculated to be 2.95 105 km3, using a truncated conical volume with an outer slope equal to the flank slope and a vertical inner edge of height equal to the basal scarp height. This volume provides an upper bound on the late-stage eruption rate of 1.2 10 4 km3/yr since 2.5 Ga. 5. Discussion and conclusions Through use of paleotopography indicators, flexural modeling, and crater retention ages of the aureole deposits and discordant lava flow, we have shown that a minimum of 49–71% of the volume of Olympus Mons was emplaced during a period of less þ 0:74 þ 0:05 þ 0:55 Gyr between 3:670:10 and 2:540:69 Ga. The bestthan 1:130:65 fit models were determined to have lithosphere thicknesses of 70–80 km for a density of 3150 kg/m3, resulting in a total volume of 1.13 107 km3 for a lithosphere thickness of 70 km and 1.01 107 km3 for a lithosphere thickness of 80 km, with 80% of the volume of erupted material contained within the flexural depression below the surface of the volcanic trough fill. Combining the constraints on the volume and duration of volcanism, we arrive at a lower bound on the eruption rate during the primary shield-building phase of 0.003–0.015 km3/yr. The assumptions made throughout this analysis were conservative in the sense of favoring lower eruption rates, and thus rates at or exceeding the higher end of this range are preferred. Comparatively, terrestrial hot-spot volcanism in Hawaii and the Emperor seamounts has led to long-term average eruption rates of 0.010–0.017 km3/yr (Bargar and Jackson, 1974; Robinson and Eakins, 2006). The total eruption volume for the Hawaii–Emperor chain over the past 80 Myr was calculated to be 1.36 106 km3, compared with 1.01– 1.13 107 km3 for Olympus Mons. Despite significant uncertainties in the timing and rates of volcanism at Olympus Mons, the constraints provided by this study suggest strikingly similar long-term average eruption rates for Olympus Mons on Mars and hotspot volcanism on Earth. Although this result is not surprising given the similar shield morphologies on Earth and Mars, this is the first quantitative constraint to confirm this similarity in eruption rate. The similarity in eruption rates is suggestive of similar underlying geodynamic mechanisms responsible for the magma supply during the primary construction of Olympus Mons and the terrestrial hotspot volcanoes, often explained through the action of mantle plumes (Lei and Zhao, 2006; Ribe and Christensen, 1999; Watson and McKenzie, 1990; Wilson, 1963). By analogy with Hawaii, which experienced a 10-fold increase in the eruption rate in the past 1 Myr (Bargar and Jackson, 1974), Olympus Mons also likely experienced a more complicated history of volcanism during the primary shield-building phase. The longer duration and greater total volume of volcanism at Olympus Mons is consistent with the fact that Hawaii remains an active hotspot today, and the beginning of the hotspot track has been lost to subduction. The results also indicate that the primary shield-building phase was followed by a long period of continued volcanism at significantly lower rates, as also suggested by Hiller et al. (1982). This result addresses the problem identified by Wilson et al. (2001), that the estimated mean rate of volcanism over the history of the shields of 0.0015 km3/yr falls significantly short of the rate of 0.03–0.3 km3/yr required to offset the conductive cooling of the magma chamber. The preferred lower bound of 0.015 km3/yr on the mean eruption rate during the shieldbuilding phase falls within a factor of two of the required longterm rate to maintain a continuously active magma chamber in the subsurface. In contrast, the late-stage volcanism at low rates during the Amazonian would require episodically active magma chambers. The decrease in eruption rates by two to three orders of magnitude after the end of the shield-building phase suggests a different geodynamic mechanism causing melt generation and eruption. This progression from the primary construction of the edifice, to the later extended period of reduced eruption rates is also observed in terrestrial hotspot volcanism, with the transition from the shield-building phase to the post-shield phase. Only 80% of the eruption volume along the Emperor–Hawaiian seamount chain is emplaced during the shield-building phase (DePaolo and Stolper, 1996). Frey et al. (1990) have shown that the composition of the post-shield volcanism is distinct from that during the primary edifice construction. This compositional change points to the possibility of different source materials or melting conditions, which would be consistent with minor continued volcanism after the shield has been carried beyond the influence of the mantle plume tail by the plate motion. On Mars, the lack of plate motion requires that post-shield volcanism would only commence once the plume itself had moved to a different location or ceased its activity altogether. The transition from a high eruption rate during the shield-building phase to a low eruption rate in the post-shield stage is also supported by geomorphic analysis of the Tharsis Montes (Bleacher et al., 2007). That study examined the exposed flows on the surface of the edifice and rift apron, observing a transition from tube- to channel-forming eruptive activity on the flanks that is consistent with a declining magma supply rate. The volcanic history of Olympus Mons and terrestrial shield volcanoes may have parallels with the volcanic history of the Tharsis R.J. Isherwood et al. / Earth and Planetary Science Letters 363 (2013) 88–96 province as a whole. A significant fraction of Tharsis formed during the Noachian epoch (Anderson et al., 2001; Phillips et al., 2001), yet the majority of the Tharsis plateau has a Hesperian age (Scott and Tanaka, 1986) and volcanism continued locally into the Amazonian (Neukum et al., 2004). The formation of Tharsis may have involved a large mantle plume that originated near the core–mantle boundary (Grott and Breuer, 2010; Harder and Christensen, 1996; Hauber et al., 2011; Kiefer and Li, 2009), analogous to, though on a much larger scale than, the small plumes that have been implicated in hotspot volcanism. The late-stage volcanism at Olympus Mons and Tharsis as a whole may be a result of partial melt in the upper mantle generated by the background mantle convection (Hauck and Phillips, 2002) or by the thermal blanketing effect of the volcanically thickened crust (Schumacher and Breuer, 2007). The late-stage magma may simply take advantage of the existing magma conduits, or the magma ascent may be enhanced by the flexural response to the load of the edifice (Galgana et al., 2011). Using a combination of paleotopography, flexural modeling, and crater retention ages, this study has been able to more tightly constrain the eruptive history of the Olympus Mons shield volcano on Mars. This is the first study to place firm constraints on the timing of early shield construction, finding that the bulk of Olympus Mons post-dates 3.67 Ga. This analysis has revealed a similar volcanic history to that observed in terrestrial hotspot volcanism, with a high rate of early shield forming volcanism transitioning to a low rate of post-shield volcanism. Thus, although the overall patterns and styles of volcanic and tectonic activity on Earth and Mars have differed greatly due to the dominance of plate tectonics on the former, hotspot volcanism on these two bodies appears to follow similar patterns of behavior. Acknowledgments We are grateful to Pat McGovern for the thorough and thoughtful review of this paper. 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