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Authors requiring further information regarding Elsevier’s archiving and manuscript policies are encouraged to visit: http://www.elsevier.com/copyright Author's personal copy ARTICLE IN PRESS Planetary and Space Science 57 (2009) 579–596 Contents lists available at ScienceDirect Planetary and Space Science journal homepage: www.elsevier.com/locate/pss Mesoscale raised rim depressions (MRRDs) on Earth: A review of the characteristics, processes, and spatial distributions of analogs for Mars Devon M. Burr a,b,, Barbara C. Bruno c,d, Peter D. Lanagan e, Lori S. Glaze d,f, Windy L. Jaeger g, Richard J. Soare h,i,j, Jean-Michel Wan Bun Tseung k, James A. Skinner Jr.g, Stephen M. Baloga d a Earth and Planetary Science Department, University of Tennessee, 1412 Circle Drive, Knoxville, TN 37996-1410, USA SETI Institute, 515 North Whisman Road, Mountain View, CA 94043, USA c School of Ocean and Earth Science and Technology (SOEST), University of Hawaii, 1000 Pope Road, MSB 205, Honolulu, HI 96822, USA d Proxemy Research, 20528 Farcroft Lane, Gaithersburg, MD, 20882, USA e 700 College Dr., Mail Code H3C, College of Southern Nevada, Henderson, NV 89002, USA f Goddard Space Flight Center, Greenbelt, MD 20771, USA g Geological Survey, Astrogeology Team, 2255 N. Gemini Dr., Flagstaff, AZ 86001, USA h Department of Geography, Planning and Environment, Concordia University, 1455 De Maisoneuve W., Montreal, Quebec, Canada H3G 1M8 i Department of Geography, University of Calgary, 2500 University Drive NW, Calgary, Alberta, Canada T2N 1N4 j Department of Earth Sciences & Physics and Astronomy, University of Western Ontario, 1151 Richmond Street, London, Canada, N6A 5B7 k Department of Geography, Dawson College, 3040 Sherbrooke St. W., Montreal, Canada, H3Z 1A4 b a r t i c l e in fo abstract Article history: Received 13 November 2008 Accepted 25 November 2008 Available online 6 December 2008 Fields of mesoscale raised rim depressions (MRRDs) of various origins are found on Earth and Mars. Examples include rootless cones, mud volcanoes, collapsed pingos, rimmed kettle holes, and basaltic ring structures. Correct identification of MRRDs on Mars is valuable because different MRRD types have different geologic and/or climatic implications and are often associated with volcanism and/or water, which may provide locales for biotic or prebiotic activity. In order to facilitate correct identification of fields of MRRDs on Mars and their implications, this work provides a review of common terrestrial MRRD types that occur in fields. In this review, MRRDs by formation mechanism, including hydrovolcanic (phreatomagmatic cones, basaltic ring structures), sedimentological (mud volcanoes), and ice-related (pingos, volatile ice-block forms) mechanisms. For each broad mechanism, we present a comparative synopsis of (i) morphology and observations, (ii) physical formation processes, and (iii) published hypothesized locations on Mars. Because the morphology for MRRDs may be ambiguous, an additional tool is provided for distinguishing fields of MRRDs by origin on Mars, namely, spatial distribution analyses for MRRDs within fields on Earth. We find that MRRDs have both distinguishing and similar characteristics, and observation that applies both to their mesoscale morphology and to their spatial distribution statistics. Thus, this review provides tools for distinguishing between various MRRDs, while highlighting the utility of the multiple working hypotheses approach. & 2008 Elsevier Ltd. All rights reserved. Keywords: Mars Surface Terrestrial analogs Spatial analysis 1. Introduction Fields of mesoscale raised rim depressions (MRRDs) of various origins are found on Earth and Mars. We define MRRDs morphologically, as 100-m-scale-diameter forms of circular, elongate, or irregular plan view shape, having closed or mostly closed positiveelevation rims encircling lower elevation terrain. Examples of fields of Martian MRRDs are shown in Fig. 1. Correctly identifying fields of MRRDs by type (origin) on Mars is important because different types of MRRDs have widely different geologic and/or climatic implications. Identification is useful in the search for Corresponding author. E-mail address: [email protected] (D.M. Burr). 0032-0633/$ - see front matter & 2008 Elsevier Ltd. All rights reserved. doi:10.1016/j.pss.2008.11.011 biotic or prebiotic activity on Mars because MRRDs are often associated with volcanism and/or water, which are constituents of such activity on Earth (Farmer, 1998 and references therein). As terrestrial experience commonly guides extra-terrestrial investigations, terrestrial MRRD types have been commonly hypothesized to explain MRRDs on Mars. These terrestrial MRRD types include phreatomagmatic volcanic constructs, massive surficial or ground ice forms, and mud volcanoes. This work reviews terrestrial MRRD types that most commonly occur in fields and that have been hypothesized to explain fields of MRRDs on Mars. The approach is two-fold: (1) to provide generic observations of individual MRRDs from the literature down to meter-scale, a size scale commensurate with current spacecraft data of Mars, and (2) to quantify the spatial distribution of MRRDs in these fields. In this work, we focus on particularly Author's personal copy ARTICLE IN PRESS 580 D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 Fig. 1. Example MRRDs on Mars, showing a variety of morphologies and settings. Multiple MRRD morphologies are visible in each image. (a) Subset of MOC image M0700373, located in western Amazonis Planitia, near 12N 164W. (b) Subset of MOC image E22-00813, located in Acidalia Planitia, near 44N 28W. (c) Subset of MOC image R0100365, in Athabasca Valles, near 10N 204W. well-researched, well-formed, or well-preserved examples in order to present criteria that characterize fields of MRRDs on Earth. These criteria in turn provide tools for assessing fields of MRRDs on Mars. This review is limited to those types of terrestrial MRRDs that have been hypothesized in the Mars literature to be analogs for Martian fields of MRRDs. The intent of this work is to aid in correctly identifying MRRDs by type on Mars and in understanding their implications. For each type of terrestrial MRRD, we (i) describe the meter-scale morphology and other relevant observations, (ii) summarize the physical processes of formation, and (iii) give locations on Mars where such MRRDs have been hypothesized to exist. As an additional tool for distinguishing among the possible origins of fields of MRRDs on Mars, we also quantify the spatial distribution of MRRDs that occur in fields on Earth. This includes both summarizing previous work and adding new statistical measures for additional MRRD types, doubling the total number of types for which spatial analyses have been published. Two tables summarizing these morphological and statistical comparisons are provided. The various MRRDs are grouped according to three fundamental origins: hydrovolcanic, sedimentological, and ice-related. Other origins are possible for MRRDs on Mars but fall outside the focus of this work. Spring deposits (Crumpler, 2003a, b) and sand diapirs (Mahaney et al., 2004 and references therein) may form MRRDs and have been hypothesized to explain MRRDs on Mars. However, they do not commonly occur in fields and so are not amenable to spatial distribution analyses as given here. Secondary impact craters form fields of MRRDs on Mars (e.g., McEwen et al., 2005). We have not performed new analyses of impact craters on Earth but have included the results of previous spatial analysis of secondary and pedestal impact craters in Table 2. 2. Hydrovolcanic MRRDs Hydrovolcanic MRRDs are constructs emplaced through interaction of lava with surficial or near-surface water. These constructs include ‘rootless’ cones (eruptive cones formed by tube- and channel-fed lavas) and basaltic ring structures. 2.1. Rootless cones (RCs) 2.1.1. RCs: morphology and observations 2.1.1.1. Icelandic tube-fed rootless cones. Tube-fed rootless cones have been studied in Iceland by a number of workers (see a review in Fagents and Thordarson, 2007). Thorarinsson (1953) first classified volcanic conical features in lacustrine or riverine environments that lack direct connection to primary volcanic vents as pseudocraters, and identified these structures as resulting from surficial lavas heating groundwater to generate steam. In recent years, the term pseudocrater has been largely replaced by the term rootless cone since these are real features and therefore the prefix pseudo- is inapplicable. (The term rootless cone also sidesteps an issue of confusion among planetary scientists who associate craters with meteorite impacts.) Phreatomagmatic rootless cones in the Mývatn and Raudhólar areas are located around the shorelines of lakes (Thorarinsson, 1953; Greeley and Fagents, 2001, Figs. 1 and 5, see their Fig. 4 for locations of the 4 Icelandic rootless cone fields). These cones have basal diameters of 3–320 m, heights of up to 31 m, summit-crater to basal diameter ratios of 0.45–0.54, and exterior slopes of 20–251 (Thorarinsson, 1953; Frey and Jarosewich, 1982; Greeley and Fagents, 2001). Both of these rootless cone populations show a close-packed arrangement with overlapping of excavated material (Greeley and Fagents, 2001). The Raudhólar cones tend to cluster near the edges of their host lava flows and appear to transition upwards in size from hornitos composed of spatter to larger rootless scoria cones. According to Fagents and Thordarson (2007), coexistence of different types of cone morphology connotes variation in eruption intensity, which is in turn a function of variation in the lava–water interaction. The Raudhólar cones also incorporate xenoliths of compositions similar to those of the underlying lavas. Although phreatovolcanic rootless cones are not the source of lava flows, their spatter can coalesce into rheomorphic flows that may appear similar to small, vent-source flows, and small amounts of lava are associated with peripheral cones of the Raudhólar group. A geospatial analysis of cone alignment within the Raudholar group revealed no strong linear alignments (Bruno et al., 2004). Rootless cone fields in the Álftaver and Landbrot (Fig. 2) districts are located on the margins of glacial river outwash plains (see Greeley and Fagents, 2001, Figs. 6–9). Compared to the Mývatn and Raudhólar cones, the outwash plains rootless cones are more widely spaced. Some have distinctive summit depressions, whereas others have convex-up slopes with summit peaks. Cones reach up to 20 m in height, with maximum basal diameters of generally 60 m, although some large cones are as wide as 100 m (Greeley and Fagents, 2001; Fagents et al., 2002). The cones have convex-upward slopes, suggesting post-formational modification by glacial floods. The structure of these cones Author's personal copy ARTICLE IN PRESS D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 581 Fig. 2. (a) Aerial photograph and (b) high resolution image showing well-formed cones in the Landbrot rootless cone field, southern Iceland. Illumination is from the upper right. Cone alignments are discussed by Bruno et al. (2004). Fig. 4. Image of two littoral cones, southwest Kilauea, Hawaii. To the west (left) is Pu’u Kaimu’uwala, showing a segmented morphology; white arrows point out a lava channel, consistent with the model proposed for segmented cones (see Fig. 5). To the east (right) is Pu’u Waimanalo, showing a classic circular morphology. Image credit: Google Earth. Fig. 3. Spatter at the Landbrot cone field, showing the molten state of the lava upon eruption. is similar to those in Mývatn and Raudhólar. Linear alignment detection analyses (Bruno et al., 2004) found strong linear alignments within the Landbrot cone group (Fig. 2). The difference in cone morphology and spacing may be due in part to differences in availability of water at the time of formation; the rootless cones associated with lake basins presumably had a more abundant water supply than those formed along glacial rivers (Greeley and Fagents, 2001). As in the Mývatn and Raudhólar rootless cone fields, the scoria clasts comprising the Landbrot cones show taffylike textures (Fig. 3), indicative of semi-molten material. The Landbrot cones are embayed in some locations by the 1783 Lakagı́gar flow. This more recent flow also contains welldeveloped rootless cones, which retain near-pristine morphology. See Lanagan et al. (2001), Fig. 2b, for an image of these cones. 2.1.1.2. Hawaiian littoral cones. Littoral cones, the best-studied examples of which are in Hawaii, are hydrovolcanic constructs that form when lavas encounter ocean water. Littoral cones are typically comprised of a few cone segments, although they may also form complete cones (Fig. 4). Multiple clusters of littoral cones exist along the southwest coast of Hawaii. A series of littoral cones located at Nā Pu’u a Pele (The Hills of Pele) shows the typical segmented morphology of littoral cones. Several kilometers to the southeast, a cluster of five complete littoral cones is located on the Pohue Bay flow and the Kolo flow, with individual cone diameters of 200–300 m (Jurado-Chichay et al., 1996a). Pu’u Kı̄ is the largest of these cones, which are usually referred to by that name. In this cluster, Three-rim Cone is a truncated a 300-m-wide crescent composed of pyroclastics and opening seaward. Two concentric rims interior to Three-rim Cone composed of spatter are also truncated. The north littoral cone of the Pu’u Ki cluster exhibits an outer rim of ‘‘lapilli-, bomb-, and block-sized ejecta surrounding inner deposits of dense spatter and ponded lavas’’ (Jurado-Chichay et al., 1996a). Approximately 10 km further to the southwest, Pu’u Kaimu’uwala is a traditional segmented cone, and Pu’u Waimanalo has a classic circular morphology (Fig. 4). Southeast of these cones, Pu’u Hou (New Hill) is another prominent segmented littoral cone, shown in Greeley and Fagents (2001). Littoral cones may be emplaced either by channel-fed lavas (e.g., Macdonald, 1972; Macdonald et al., 1983) or by tube-fed lavas (Fisher and Schmincke, 1984). As described below, the difference in cone morphology—segmented versus complete—has been inferred to be a function of the emplacement mechanism. 2.1.2. Rcs: formation mechanism Observations of Icelandic rootless cones suggest that they formed where tube-fed lavas overrode marshy surfaces (Morrissey and Thordarson, 1991; Thordarson, 2000). Many of these cones sit on top of lava flows that show no evidence of deformation around the cones, indicating that some time elapsed between the emplacement of the flow and the cone-forming event. Fieldwork has shown that these cones are primarily composed of scoria and tephra interfingering with beds of lacustrine muds overlain by agglutinate (Morrissey and Thordarson, 1991; Thordarson, 2000). Distinct horizons of lacustrine muds indicate that multiple explosions are necessary to form a rootless cone. If these explosions vary in strength and/or location, they may result in nested and overlapping cones (Thorarinsson, 1953). The scoria clasts which comprise these cones often exhibit fluidal, taffy-like textures (e.g., Fig. 3), indicating that the material was molten or semi-molten during cone formation. Grain sizes generally increase with height within the cone, indicating decreasing Author's personal copy ARTICLE IN PRESS 582 D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 explosive power over the course of the eruption. Nearest neighbor and linear alignment detection analyses of the spatial distributions of rootless cones indicate that they have a clustered distribution and may exhibit preferred alignments, hypothesized to result from lava tubes and/or groundwater locations (Bruno et al., 2004). Using geologic constraints based on Icelandic and Hawaiian fieldwork, Keszthelyi (2005) calculated steam accumulation rates within waterlogged soils beneath surficial lavas. For reasonable permeabilities, the water has to be less than a few centimeters under the surface to allow enough pressure to build to produce a cone before the steam escapes laterally (Keszthelyi, 2005). Models for rootless cone formation date back to the early 1980s (e.g., Wohletz and Sheridan (1983)). More recently Greeley and Fagents (2001) suggested a model for rootless cone formation based on Icelandic rootless cones as follows: (1) Lava is emplaced, which heats the substrate and volatilizes the ground water, building subsurface gas pressure. (2) Vapor pressure eventually exceeds a pressure threshold (which is equal to the weight and strength of overlying lava) and results in rapid gas expansion which excavates overlying lava and perhaps some amount of substrate. (3) The inflow of lava and other debris seals the void. (4) Finally, more gas is generated to repeat the cycle. The first two steps of this model may be controlled by fuel–coolant interaction (FCI). This process and its application to geology are reviewed by Morrissey et al. (2000), from which the following summary is taken. FCI involves heat transfer that converts thermal energy to kinetic energy on short time scales (o1 ms). The ‘fuel’ is a hot fluid with a solidus temperature above the nucleation temperature of the coolant (i.e., the coolant is a volatile). The explosivity of the interaction depends on the rate of heat transfer from fuel to coolant, which in turn depends on the surface area over which the fuel contacts the coolant. The contact surface area may be increased by fragmentation of the fuel or through intimate mixing of coolant within the fuel. Heat transfer is also enhanced by the thermal expansion of the coolant, which further increases the contact surface. Morrissey et al. (2000) list four steps in explosive FCI processes: (1) initial contact and mixing of fuel and coolant with stable vapor film conditions; (2) vapor film collapse, leading to thermal and mechanical coupling of fuel and coolant; (3) episodic heat transfer from fuel to coolant, leading to rapid expansion of the coolant, subsequent elastic rebound, and explosive fragmentation of the fuel; and (4) volumetric expansion of the fuel–coolant mixture due to the phase change of superheated water to steam. Volcanologically, the ‘fuel’ is the lava and the ‘coolant’ is the water. This hydrovolcanic process generally results in cones with summit craters, although littoral cones are not necessarily complete circles and some rootless cones lack summit craters. During littoral cone formation, the lava is quenched as it enters the seawater, forming a lava delta (Mattox and Mangan, 1997). As this delta expands, it may collapse so that seawater penetrates the delta and contacts the flowing lava, resulting in a steam explosion. Pyroclastic material from the explosion is ejected to form the littoral cone. The cycle continues as long as the lava flow remains active. If the lava flow is channel-fed, such that the surface of the flow in the channel continues to move during the explosion, the ejected material that lands on the moving surface will be carried away, leaving two arcuate segments of a cone (Fig. 5a) (Jurado-Chichay et al., 1996a; Mattox and Mangan, 1997; for an oblique aerial view of a Hawaiian channel-fed littoral cone, see Greeley and Fagents, 2001, Fig. 2). If the lava flow is tube-fed, so that the surface of the flow is solid, the ejection of material will form a circular construct (Fig. 5b). Erosion of the lava bench subsequent to the formation of a littoral cone may erode the cone. Fig. 5. Diagrams showing the formation of littoral cones. (a) Formation of a ‘typical’ bisected littoral cone, resulting from channel-fed lava (modified from Fisher and Schmincke, 1984); and (b) formation of a circular littoral cone, resulting from tube-fed lava (modified from Jurado-Chichay et al., 1996b). 2.1.3. RCs: hypothesized locations on mars Numerical modeling indicates that the lower gravity and atmospheric pressure on Mars should produce hydrovolcanic rootless cones that are wider than those observed on Earth (Greeley and Fagents, 2001; Fagents et al., 2002). Structures hypothesized to be Martian rootless cones include mounds in Chryse Planitia (Greeley and Theilig, 1978), Deuteronilus Mensae (Lucchitta, 1978), Acidalia Planitia (Frey et al., 1979; Allen, 1980), Isidis Planitia (Frey and Jarosewich, 1982), Elysium Planitia (Mouginis-Mark, 1985), the Cerberus and Amazonian plains (Greeley and Fagents, 2001; Lanagan et al., 2001; Lanagan, 2004), and Athabasca Valles (Jaeger et al., 2007). However, observations that the Isidis cones have similar crater to basal diameter ratios as Icelandic rootless cones have been used to argue against them being rootless cones, since Martian gravity and atmospheric density should result in broader features (Bridges et al., 2003). Farrand et al. (2005) argue that the low thermal inertias of the cones in Acidalia weigh against their being rootless cones, since the component spatter is expected to have relatively high thermal inertia. 2.2. Basaltic ring structures (BRSs) Basaltic ring structure (BRS) is a generic descriptive term referring to a rimmed topographic depression within basaltic lava flow. BRSs appear in plan view as circular or elliptical structures with raised rims and may have interior concentric ridges composed of locally derived dike material. They are genetically related to rootless cones in that they involve lava–water interaction. However, some additional or different process is apparently involved, since concentric basalt dikes are not observed in rootless cones as they are in some BRSs. 2.2.1. BRSs: morphology and observations Two morphological populations of BRSs are found in the Channeled Scabland flood tract, set into the Columbia River Basalts in Washington state, USA (Hodges, 1978; see also Figs. 4.16 and 4.17 in Baker, 1978, Table 1 in McKee and Stradling, 1970). Although these two populations have slight morphological differences as discussed below, we have grouped them together because of their similar appearance in plan view and their close mutual proximity. A possible but unverified field of BRSs might also exist on the Serra Geral lavas of the Parana Basin, Brazil (Araújo, 1982). Odessa BRSs. The more distinctive set of BRSs is found near Odessa, Washington, USA (Fig. 6a). The Odessa BRS’s are 50–500 m Author's personal copy Table 1 Summary of characteristics of terrestrial and Martian MRRDs. Type of MRRD Hydrovolcanic Rootless cones (RC) Material, context Size, spatial density Characteristics Phreatovolcanism (explosive lava–water interaction) Lava; RC: 3–320 m basal dia. Do not source lava flows, but spatter may coalesce to form short rheomorphic flows. Icelandic rootles cones (‘pseudocraters’) do not always have summit depressions, may be nested. Hawai’ian littoral cones on channel fed lavas are bisected. RC: where water accumulates in near surface (e.g., shallow lake basins, river channels) LC: at ocean margin Lava; form where water has produced phreatovolcanism, followed by erosion (in this case, by catastrophic flooding) LC: p300 m Littoral cones (LC) Basaltic ring structures (BRSs) Phreatovolcanism (+inflation?), then erosion May have interior mesas and partial concentric interior rings. Might have exterior moats. Diapirism due to density inversion ( ¼ overpressurization of fine sediments) Sediments; commonly occur in compressional tectonic regimes, also occur on large river deltas pseveral hundred m high. Can have large range of heights. Morphology varies from domes with summit craters to flat ‘pies.’ May show mudflows, sedimentary ejecta. ptens of km basal dia density varies widely Ice-related Pingos Groundwater pressure+freezing, then collapse Sediments (few reported hydraulic pingos in bedrock)b p50 m high p1000 m basal dia. Hydrostatic Hydraulic Show continuous range of morphologies. Hydrostatic: If formed within drained thaw lake basins, are often associated with thermal contraction polygons. Hydraulic: If formed on slopes, may align Ice-block forms (IBFs) Deposition of ice-blocks with various amounts of sediment, then melting Sediments p100/km2 porder 10 m high Glaciofluvial: Boulder rings/rimmed kettle holes are found preferentially on high points (e.g., bars) in the channel. Glaciolacustrine: Ice floe grounding pits form in water depths o5–500 m. Glacial: CMFs may align with slope or with direction of glacial movement. porder 100 m basal dia. p70/km2 a b Hodges (1978). Burr et al. (2008). ARTICLE IN PRESS Odessa: pfew/km2 Tokio: pfew tens/km2 Odessa field Tokio field Sedimentary Mud volcanoes 50–500 m basal diaa D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 Mechanism 583 Author's personal copy ARTICLE IN PRESS 584 D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 Fig. 6. (a) USGS Digital Orthophotograph in the Channeled Scabland, near Odessa, Washington, USA, centered near 47.4N 188.7W. The two BRS shown in Fig. 5b are indicated by black arrows (lower left); other BRS as denoted by Hodges (1978) are indicated by white arrows. Image credit: NASA World Wind. (b) Oblique air photo of two BRSs showing concentric rings. Two-lane road across middle of image provides scale. Image credit: Hideaki Miyamoto. in diameter and have discontinuous concentric ridges (Fig. 6b). These concentric ridges are comprised largely of autointrusive dikes, which differ from the surrounding lava flow in the plunge direction of their lava columns (McKee and Stradling, 1970; Hodges, 1978; Jaeger et al., 2003a). These ridges may surround either mesas or depressions. Gravity data over three of the Odessa BRSs has been reported as showing a weak negative anomaly of 1 mgal (Parks and Banami, 1971). The implications of this finding are somewhat ambiguous, because it does not have a uniquely identifiable cause; however, it does suggest that some of the material comprising the BRSs is less dense than the surrounding material. Tokio BRSs. A second population of BRSs is found near Tokio, Washington, USA. In comparison with the Odessa BRSs, the Tokio BRSs are smaller (40–150 m in diameter) and do not have visible interior concentric ridges (dikes) or mesas (McKee and Stradling, 1970; Hodges, 1978). The interiors of the Tokio BRSs are flatfloored and partially infilled by loess, possibly obscuring any interior concentric dikes. 2.2.2. BRSs: formation mechanism BRSs were originally hypothesized as purely lava structures, formed by the foundering of a solid crust into a still molten interior, with subsequent lava extrusion into the cracks in the crust from the interior (McKee and Stradling, 1970). Subsequent investigations found palagonite within three BRS centers (Hodges, Fig. 7. ‘Water escape structures’ (four vertical white arrows) of different sizes in Bacon Butte, Snake River Plains basalts. Pillow basalt (horizontal white arrow) is visible at the base of the flow. Person at lower right (horizontal black arrow) gives sense of scale. 1978). Narrowly jointed basalt with high glass content was also found within a hypothesized crypto-BRS, which is unexcavated in plan view but visible in cross-section in a cliff face (McKee and Stradling, 1970; Jaeger et al., 2003b, 2005). The palagonite and jointing morphology both suggest rapid quenching of the lava most likely by water at the interior of the BRSs. Thus, BRSs likely reflect phreatovolcanism (Hodges, 1978; Jaeger et al., 2003a, b). The basaltic dikes within Odessa BRSs may be a result of inflation of the surrounding lava flow causing tensile stress and concentric cracking of the crust. Molten lava from the flow interior would have then filled in the cracks, forming the observed dikes. Structural data (trends and plunges) of the basaltic columns show that the Odessa BRSs formed within the lava flow 15 Ma (Jaeger et al., 2005). Subsequently, the BRSs were likely exposed through plucking by macroturbulent kolks (vertical vortices in turbulent water) during the Channeled Scabland flooding 15 ka (Baker, 1978). In contrast to common erosion by sediment abrasion, plucking excavates whole columns of basalt. Plucking by kolks during the Channeled Scabland flooding may have acted preferentially on the more vertically jointed country rock; in contrast, the more narrowly or horizontally jointed ring dike material may have been less susceptible. Author's personal copy ARTICLE IN PRESS D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 According to the model above, shallow groundwater is required for the initial formation of BRSs within lava flows, and some form of extensive erosion (e.g., plucking by catstrophic floods) is required for their planview exposure. Although an order of magnitude smaller in plan view diameter, ‘water escape structures’ in the Snake River Plains (SRP) lavas (Fig. 7) may form by a similar phreatovolcanic process. These structures are subvertical conduits on the order of 1 m in diameter, spaced 5–15 m apart, and partially filled with basaltic rubble. The upper surface of the lava flow above the largest of these conduits forms a depression 10 m in diameter and 1.5 m deep and the columnar jointing changes plunge from vertical along the base of the flow to horizontal adjacent to the conduits (Shervais et al., 2005). The host SRP lava in which these structures are found fills paleodrainage channels, and water interaction is indicated by the glassy texture, underlying pillows (Fig. 7), and hyaloclastites (Shervais et al., 2005). However, basaltic dike structures such as are found in Odessa BRSs are not evident, perhaps either because they are not present within the SRP lavas or because they have not been exposed by plucking during catastrophic flooding. These ‘water escape structures’ in the Snake River Plains may represent the smallest end-member of a continuum that includes the larger Tokio structures, which do not have dikes, and the largest structures found near Odessa, which do have basalt dikes. 2.2.3. BRSs: hypothesized locations on mars On Mars, BRSs have been hypothesized to explain MRRDs in Athabasca Valles (Jaeger et al., 2003a, b, 2005). Athabasca Valles is a young catastrophic outflow channel hypothesized to have experienced multiple water floods interleaved with or subsequently modified by lava (Burr et al., 2002; Werner et al., 2003; Lanagan, 2004; Jaeger et al., 2007). Thus, the channel has the elements necessary for formation of BRSs, namely, an initial water flood to provide saturated sediments, subsequent lava flows to produce phreatovolcanism, and finally another water flood causing prolonged erosion to expose that phreatovolcanism in the form of BRSs. However, subsequent interpretation with higher resolution data infers these forms to be more similar to rootless cones formed in deflating, not inflating, lavas (Jaeger et al., 2007). 2.3. Summary: hydrovolcanic MRRDs Hydrovolcanic MRRDs include rootless cones and basaltic ring structures. These MRRDs are found on lava plains or, in the case of Hawaiian littoral cones, in locations where the flows have entered an ocean. Rootless cones typically show summit craters, although decreasing explosivity during eruption or post-eruption erosion may fill them in to create simple mounds or subsequent erosion may form convex-up slopes. Simple rootless cones require more than a single episode of explosivity. A large number of eruptions that vary in strength and/or location may produce nested rootless cones. Neither rootless cones nor BRSs are sources of lava flows, but rootless cones may have associated rheomorphic flows. BRSs may contain (parts of) concentric interior rings and central mesas, or just central depressions. Both rootless cones and BRSs require surface or subsurface water for their genesis, and BRSs require extensive flood erosion for their exposure to observation. 3. Sedimentary MRRDs Sedimentary MRRDs are formed by the movement and/or emplacement of sediment. They result from confined upward transport of subsurface material that is deposited in a ring or mound on the surface. Sedimentary MRRDs include both mud 585 Fig. 8. (a) Image from Google Earth, showing three mud volcanoes in Azerbaijan (boxes). Airantekyan and Kotturdag mud volcanoes are labeled. (b) Mud flow from the Airantekyan mud volcano, vent to the upper right. (c) Typically circular vent of the Kotturdag mud volcano, located along the same structural ridge as Airentekyan (images b and c are panchromatic images, res. 0.6 m/px, illumination from the north). volcanoes and sand diapirs. However, because sand diapirs do not form in fields but rather in isolation, and because they are poorly understood, we do not address them here. Guhman and Pederson (1992) provide a discussion of mechanism and Mahaney et al. (2004) address the possibility of sand diapirs on Mars. 3.1. Mud volcanoes (MVs) 3.1.1. MVs: morphology and observations Mud volcanoes (or sedimentary volcanoes) vary greatly both in morphology and in size (Fig. 8). Morphologically, they are generally circular or oval in plan form (Fig. 8c), but can also have elongate ‘mud ridge’ morphology or irregular shapes. In the third dimension, mud volcano morphology varies not only with the amount of material extruded, but with the degree of material fluidity (Brown, 1990, see also, e.g., Cifci and Ergun, 2004). Muds with low porosity and/or high cohesion give rise to cones or domes with summit calderas. As their name suggests, mud volcanoes can appear similar to magmatic volcanoes, and these conical mud volcanoes often exhibit flows of sediment, extending from their summits (Fig. 8b and c) or flanks (Kopf, 2002; see also the cover pages of Geology, v. 32, no. 7, GSA Today v. 17, no. 2.) They can erupt explosively (e.g., White, 1955), resulting in fields of boulders with diameters on the order of meters. Mud extrusions can also give rise to ‘mud pies,’ flat (slope angle o51) features composed of pooled mud with higher porosity or lower cohesion (e.g., Henry et al., 1990; Lance et al., 1998; see Kopf, 2002, Fig. 3). Mud volcanoes can have negative relief; such basins or ‘pockmarks’ are attributed to subsidence due to high fluid discharge through a conduit. The mud volcano field in the Gulf of Cadiz off the Iberian coast provides examples of pockmarks (Baraza and Ercilla, 1996), where submarine fluid venting has been sighted (Van Rooij et al., 2005). A model of Lusi, a mud volcano in East Java which may have resulted from drilling, suggests that surficial sag zones develop as a result of subsurface normal faulting around the conduit (Davies et al., 2007). Multiple morphologies are often present within a single local region. Author's personal copy ARTICLE IN PRESS 586 D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 Fig. 9. Margin of the Lokbatan flow, Azerbaijan. Image credit: Ronnie Gallagher (BP Exploration, Angola). Subaerial mud volcanoes range in size from meters to tens of kilometers in diameter and from sub-meter to hundreds of meters in height (Kholodov, 2002; Kopf, 2002 and references therein). Submarine mud volcanoes are more commonly found on active than passive margins, and appear to have an even wider range of morphologies than subaerial mud volcanoes, with submarine ‘mud pie’ diameters ranging up to greater than 30 km (Kopf et al., 2001). A morphometric (shape plus size) classification of mud volcanoes is proposed by Kholodov (2002), namely: (1) diapir structures with a single vent, indicating a significant feeder channel; (2) mud volcanoes with multiple edifices or vents located on a cone-shaped accumulation of mud breccia; (3) large (tens of kilometers in diameter) ‘swamped’ areas located at the same elevation as the surrounding topography and having scattered breccia mounds and liquid mud pools; and (4) mud accumulation in depressed areas, which result from tectonic subsidence. Collectively, mud volcanoes can be associated with other positive relief features, such as anticlinal ridges several kilometers in length, which are ascribed to faulting (Jakubov et al., 1971; Kopf, 2002). This scenario applies to the extensive mud volcanism in Azerbaijan (Jakubov et al., 1971, see also Skinner and Tanaka, 2007). Conversely, mud volcano fields can sit in structural troughs, which host thick sedimentary deposits conducive to diapirism; for example, on the floor of the Black Sea, mud volcanoes sit within the Sorokin Trough, which is pressurized on either side by buried structural highs (Woodside et al., 1997; Bohmann et al., 2002). The sedimentary deposits forming mud volcanoes can be highly viscous (Fig. 9). They are generally comprised of clasts and rock fragments in a clay mineral-rich matrix. The clasts are often incorporated from the conduit wall rock, whereas the homogeneous muds are thought to be related to the final phase of an eruptive cycle, when loose wall rock has already been removed. This ratio of clasts and rock fragments to fine-grained matrix ranges from clast-supported debris to clast-free muds (Kopf, 2002 and references therein). 3.1.2. MVs: formation mechanisms Mud volcanoes result from density inversions or overpressurization of fine-grained sediments, i.e., sediments with greater porosity than that expected from their overlying lithostatic load (Kopf, 2002). This overpressurization, or buoyancy, can be caused by various processes (see Wangen, 2001 for a quantitative review). The most common process is disequilibrium compaction, which results from the inability of low permeability sediments to expel fluids. Another process, fluidization, occurs due to generation or incorporation of gases or other fluids; the gas is commonly methane, although carbon dioxide and nitrogen have also been produced (Dimitrov, 2002; Etiope et al., 2004). Consequently, the sediments undergo extrusion, either in the form of diapirs or diatremes. Diapirism is driven by density contrasts between an overpressured mud and a denser overburden, and is commonly used to describe a slow migration (Kopf, 2002). Diatremes are pipe-conduits that result from fluidization of a sedimentary mass due to passage of pore fluids, and may be more forceful. Though very similar in appearance and often co-located—indeed, diatremes may originate from diapirs—diapirs and diatremes may be distinguished by the mechanical stress states of the resultant mud intrusion (see Brown (1990) and references therein). Following the primary or predisposing cause of overpressurization, secondary or triggering causes for mud volcanism include removal of overlying material, earthquakes, or other modifications of the stress field. As summarized by Kopf (2002), terrestrial mud volcanoes are most commonly found in convergent tectonic settings, where fluid-rich sediments accumulate in deep-sea trenches, or accretionary wedges, and are subducted. The high pressure and temperature in the ‘subduction factory’ increase the buoyancy of the fluid-rich sediments. As a result, the overpressurized sediments ascend through the lithologic overburden, extruding at the surface both on- and off-shore. The fluids may arise from several kilometers’ depth. Mud volcanoes are also found on some of the Earth’s great river deltas, such as the Orinoco River delta (Brown and Westbrook, 1988), the Mississippi River delta (Morgan et al., 1968), and the Copper River basin in Alaska (Nichols and Yehle, 1961). In such settings, the overpressurization is attributed to an increase in the weight of deposited material over time, such that less dense, higher porosity material is capped by heavier, less porous sediments. In these settings, the fluids are more likely to originate from shallow source regions. More than 1000 subaerial and subaqueous mud volcanoes have been found on Earth; see Kholodov (2002), Fig. 1, or Kopf (2002), Fig. 1, for plots of global distribution. 3.1.3. MVs: hypothesized locations on Mars Mud volcano-type processes have been suggested for Mars (e.g., Komar, 1991; Bradak and Kereszturi, 2002), and mud volcanoes have been proposed for numerous locations in the northern plains, including in Chryse and Acidalia Planitiae outwash plains (Tanaka, 1997), on the north polar deposits (Tanaka, 2005), and in southern Utopia Planitia (Tanaka et al., 2003a; Skinner and Tanaka, 2007). Dewatering of debris flow material from Simud/Tiu Valles has been hypothesized to have produced ‘mud eruptions’ that formed low, p5-km-diameter, pancake-like shields (Tanaka, 1999). Mud volcanoes have also been hypothesized for various smooth-topped mounds or ‘bulges’ in impact craters (Ori and Baliva, 1999), for various pits and sinkhole-like structures (Ori, 1999), and for curvilinear ridges in Isidis Planitia (Davis and Tanaka, 1995). Terrestrial mud volcanoes are highly variable in appearance and size, spanning the greatest size range of the MRRDs discussed here. For use in identifying mud volcanoes on Mars, Author's personal copy ARTICLE IN PRESS D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 587 morphometric information (Kopf et al., 2001; Kopf, 2002; Kholodov, 2002) provides some guidelines, namely, that those with the greater diameters tend to be flatter or even depressed in elevation. Mud volcanoes can also be identified by association with anticlinal ridges and other evidence for compressional tectonics. Although plate tectonics is limited or absent on Mars, large volcanic edifices and wrinkle ridges suggests compressional tectonic regimes (e.g., Hall et al., 1986; Withers and Neumann, 2001). Terrestrial mud volcanoes are also found in sedimentary settings, where variation in deposition led to density inversions and consequent diapirism. Impact craters provide basins for sediment accumulation on Mars, as evidenced by the fans or fluvial deltas that are found therein (Malin and Edgett, 2003; Pondrelli et al., 2005; Bhattacharya et al., 2005; Mangold and Ansan, 2006), and may have experienced similar variation in deposition. On Earth, mud volcanoes are an important factor in the fluid back flux from the lithosphere to the hydrosphere and support active extremophile communities (Kopf, 2002 and references therein). If mud volcanoes in compressional tectonic regimes or impact basins on Mars similarly incorporate deep crustal water and/or gas into their erupted material, they may provide samples of associated biotic or prebiotic processes on Mars’ surface. Subsurface models for mud-volcanic processes, including chemosynthetic biotic activity, are discussed by Ori et al. (2001). 4. Ice-derived MRRDs Ice-derived MRRDs result from either the growth of massive ground ice to form pingos or from the surficial deposition and partial or complete burial of block ice. 4.1. Pingos 4.1.1. Pingos: morphology and observations Resulting from the growth of massive ground ice, pingos are the largest of a range of ice-cored mounds. Terrestrial pingos may be several tens to hundreds of meters in basal diameter, and range up to 50 m height (Mackay, 1998). This is an empirical height limit that depends on the amount of available groundwater, the amount of overburden, and other factors, and should not be influenced by gravity (see discussion in Cabrol et al., 2000, pp. 101–105; Burr et al., 2005, p. 61). In their initial and growth state, pingos are simple mounds. If the tensional strength of the overburden is exceeded by ice-core growth, dilational cracking may occur. Rupture of the sub-pingo water lens or diffusion over time also contributes to pingo collapse. The cause of the collapse influences rim morphology, which ranges from irregular or jagged to smooth and flat. Eventually, a pingo collapses entirely, leaving behind a raised rim or rampart, up to several meters in height, known as a pingo scar (Flemal, 1976; De Gans, 1988). (See Burr et al., 2005, Fig. 5, for four-part image representing this sequence.) Individual pingo genesis and collapse are not necessarily synchronous. Thus, a range of pingo heights and morphologies, from incipient pingos to pingo scars, may be observed in one region at any one time (Mackay, 1979). Of the 1350 hydrostatic pingos on the Tuktoyaktuk Peninsula, only 50 are currently growing (Mackay, 1973). Pingo scar densities can reach 100/km2 (Flemal, 1976). 4.1.2. Pingos: formation mechanisms Pingos result from the pressurization and then freezing of groundwater (Washburn, 1980; French, 1996), although small amounts of additional ice may derive from atmospheric sources Fig. 10. Images of Ibyuk, a collapsing hydrostatic pingo, Tuktoyaktuk Peninsula, Northwest Territories, Canada. (a) Nadir-looking air photo (July 1993), north is to the top; surrounding terrain is a drained thaw lake basin; (b) ground photo (May 2004), looking roughly north; snowmobile tracks on the side of the pingo provide scale; and (c) summit crater, showing the topographic relief. The far edge of a frozen pond, produced by melting and refreezing of the ice core, is visible; coauthors at left provide scale. (Mackay, 1985). They are genetically classified according to their groundwater pressurization mechanism. See Burr et al. (2008) for further discussion of pingo formation mechanisms. 4.1.2.1. Hydrostatic (closed system) pingos. The groundwater may be pressurized through propagation of a subsurface freezing front, as documented for many of the 1350 pingos located in thermokarst lakes on the Tuktoyaktuk Peninsula, Northwest Territories, Canada (Fig. 10a) (Mackay, 1979, 1998). The lakes occur in deep, continuous permafrost. However, the heat capacity of the lake water keeps the sediments immediately beneath the lake unfrozen, and this unfrozen zone comprises a ‘talik’ (Mackay, 1979, 1998). When the lakes lose their water by drainage and/or evaporation, the saturated lake bottom sediments are exposed to Author's personal copy ARTICLE IN PRESS 588 D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 seasonal freezing temperatures. A freezing front propagates both from the edges of the lake basin inward, reducing the size of the talik, and from the lake basin floor downwards. Where residual water forms (a) pond(s) at the low point(s) in the basin, permafrost growth is locally minimized. As pore water is expelled ahead of the inward-propagating freezing front, it collects beneath the site(s) of minimum permafrost thickness and freezes. Constrained by continuous permafrost at depth, the pressurized water domes up the overlying permafrost as it freezes, forming a pingo. The doming is primarily due to subsurface water flow inward, and only negligibly due to the 9% volume expansion during phase change. The resulting ice-cored mounds are referred to as hydrostatic pingos. 4.1.2.2. Hydraulic (open system) pingos. Alternatively, the water pressurization mechanism may be hydraulic, supplied by topography (Müller, 1959) or by the ascent of deeply seated groundwater through local secondary faults (O’Brien, 1971). In either case, groundwater is driven upward through the permafrost by artesian pressure and domes up the overlying sediments. As it approaches the surface, the groundwater freezes to create a near-surface ice-core (Holmes et al., 1968; French, 1996). As with hydrostatic pingos, this doming occurs at sites of least permafrost development, which are commonly river valleys or terraces. Hydraulic pingos occur in the very thin permafrost of the Yukon Territory, Canada (Hughes, 1969), in river valleys in Alaska (e.g., Holmes et al., 1968), and in near-coastal areas of Greenland (e.g., Müller, 1959; Bennike, 1998). The most commonly studied hydraulic pingos are found in Alaska and Greenland, although they are more easily viewed in Greenland due to lack of vegetation (see Bennike, 1998, Fig. 3A–F, for oblique aerial and ground photos of Greenland hydraulic pingos). Some pingos present the appearance of fitting into neither of these mechanisms. Hence, a third classification of pingos, called polygenetic pingos, has been proposed (Gurney, 1998), although a mechanism was not clearly defined. 4.1.3. Pingos: hypothesized locations on Mars Pingos and collapsed pingos have been hypothesized to exist in a variety of potentially periglacial and/or paleo-lacustrine environments on Mars. These include within Gusev crater (Cabrol et al., 2000), on the Cerberus plains (Nussbaumer, 2005; Page and Murray, 2006), on flood saturated sediments in the Athbasca Valles outflow channel (Burr et al., 2005), within high-northernlatitude impact craters (Soare et al., 2005; Sakimoto, 2005a, b; Bacastow and Sakimoto, 2006), and on the Amazonian-aged hummocky member (AHvh) in the northern plains (Tanaka et al., 2003b). The most recent studies of pingo-like forms on Mars have centered on Utopia Planitia (Soare et al., 2005; Osinski and Soare, 2007; Dundas et al., 2008; de Pablo and Komatsu, 2008). See Burr et al. (2008) for further discussion of hypothesized pingos on Mars. 4.2. Ice-block forms (IBFs) Ice-block MRRDs result from the deposition of block ice, partial of complete burial of those blocks by synchronous or subsequent sedimentation, and eventual melting of the blocks to produce mesoscale depressions. These kettle hole depressions may have raised rims under some circumstances. 4.2.1. IBFs: morphology and observations In plan view, ice-block forms may be circular, oblong, or irregularly shaped where multiple ice-blocks have been deposited together. The existence, size, and depth of a central depression depend on the amount of sediment in the block, as well as its depth of burial. Laboratory work shows sediment-poor and/or deeply buried ice blocks form normal kettle holes, depressions with no rims or only thin rims (Maizels, 1977, 1992). Examples of such normal kettle holes (see e.g., Chapman et al., 2003, Fig. 13b) can range up to 2 km in diameter and a couple of tens of meters deep (Flint, 1971). However, increasing sediment-load and/or decreasing burial depth produces ‘crater kettles,’ with more significant rims, or ‘till-fill’ kettles, which are sediment mounds (Maizels, 1992). The amount of sediment and degree of burial are influenced by the emplacement mechanism. 4.2.2. IBFs: formation mechanisms Ice blocks may be emplaced through glaciofluvial, glaciolacustrine, and glacial/ablational processes (Parizek, 1969). 4.2.2.1. Glaciofluvial. The glaciofluvial type of ice-block MRRD derives from breaking up of glacier margins by sub-, en-, or supraglacial flooding and transport and deposition of the derived ice blocks by the floodwaters in the proglacial environment. Glaciofluvial ice-block production and transport is commonly observed in glaciated regions such as Iceland (e.g., Russell and Knudsen, 2002; Fay, 2002b), Greenland (Sugden et al., 1985; Russell, 1993), and Norway (Longva and Thoresen, 1991). The 1918 glacial flood over Myrdalsandur in Iceland (Tómasson, 1996) produced over 150 ‘rimmed’ kettle holes and mounds, which were attributed to meltout of ice-blocks with various amounts of sediment loads and burial depths (Maizels, 1992). These ‘boulder ring structures’ are comprised of individual boulders up to 1.6 m in diameter. They tend to be higher on their downstream side, from which a sediment ‘tail’ (or obstacle shadow) may extend. Boulder ring structures are found preferentially on elevated streamlined bar surfaces, where they grounded first during waning flood flow. They are associated with hummocky outwash plains, and fields of individual boulders and boulder-sediment mounds (Maizels, 1992; cf. Fay, 2001, 2002a). Icelandic examples have a maximum measured density of 70/km2. Some of the boulder rings are contiguous (Maizels, 1992); others may show distinct streamlining (obstacle shadow ridges) from flow around the grounded ice-block during waning flow (cf. Fay, 2001, 2002a; see also Chapman et al., 2003, Fig. 13b). They are described as looking like pingos (Maizels, 1977). However, their relative topographic location on elevated bars or channel margins is distinct from that of hydrostatic and hydraulic pingos, both of which form in local lows. 4.2.2.2. Glaciolacustrine. Glaciolacustrine MRRD production results from calving of glaciers that terminate in lakes and subsequent deposition of these ice-blocks on the lake bottom during lake drainage. If moving during deposition, the ice blocks produce linear ‘scour marks’ on the lake bed, which have raised sides or lateral berm piles due to plowing up of the lake bed sediment (Eden and Eyles, 2002). If stationary during deposition, the ice blocks form ‘ice floe pits.’ In their study of Kasei Valles and Echus Chasma, Woodward-Lynas and Guigné (2003) imply that these pits also have raised berms, although an explanation for these raised berms was not given. In his study of ice-contact rings, Parizek (1969, p. 54) implied that the raised berms around circular or irregularly shaped pits can form where lake sediments are deposited over stagnant ice. Glaciolauctrine MRRDs have been identified on Earth in the bed of paleo-Glacial Lakes Agassiz (Mollard, 1983) and Iroquois (Gilbert et al., 1992), Author's personal copy ARTICLE IN PRESS D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 589 although these attributions were somewhat speculative and not exclusive. Grizzaffi and Schultz, 1989). For MRRDs in those areas, CMFs may be a viable hypothesis. 4.2.2.3. Glacial/ablational. Ice-block MRRDs may also result from final deglaciation under cold-based conditions. Circular moraine features (CMFs) are an ablational ice-block form that is hypothesized to result from ice-block deposition by stagnating cold-based glaciers (Ebert and Kleman, 2004). The dead-ice blocks, with varying amounts of till (sediment), form circular ‘dirt cones’ during melting. As observed on Himalayan glaciers, these ‘dirt cones’ are conical ice blocks up to 85 m high covered with a layer of glacial sediment (Swithinbank, 1950). As the ice cone melts, the sediment slides down the slopes of the cones. The resultant circular features may be mound, sheet, or ring shaped in cross-section, depending on the amount and distribution of sediment within the erstwhile ice block and the length of melt time. This aspect of the hypothesis agrees with what Maizels (1992) found in her boulder ring laboratory experiments. CMFs are 20–170 m in diameter and 0.5–10 m high. Particularly good examples of CMFs are found on the Varanger Peninsula, northern Norway, where they are readily distinguished by having a different color sediment than the underlying boulder cover (Ebert and Kleman, 2004 and references therein). In some cases, the CMF boulder size is larger than that of the surrounding boulder cover; in other cases it is smaller. At least 50% of CMFs have ‘tails’ of sediment that taper in the direction of paleo-ice flow; the origin of these tails is not understood (Ebert and Kleman, 2004). The Varanger Peninsula CMFs are found on plateaus associated with other glacial features, and may have formed in association with a polythermal glacial cover. According to this hypothesis, sediment was entrained in the warm-based part of the glacier base and transported onto the plateaus; during deglaciation under cold-based conditions, this sediment was let down onto the underlying surface, draping dead-ice blocks from the glacier (Ebert and Kleman, 2004). 4.3. Summary: ice-derived MRRDs 4.2.3. IBFs: hypothesized locations on Mars ‘Kettle-like features’ in the circum-north-polar region have been interpreted as delineating a former extent of the ice cap (Fishbaugh and Head, 2000, 2001). Features in the circum-Chryse outflow channel Maja Valles have been hypothesized to be kettle holes and associated obstacle marks (Chapman et al., 2003). Rimmed kettle holes (‘gravity craters or kettle craters’) could explain ‘circular, elliptical, or peanut-shaped rings’ on the floor of the Athabasca Valles outflow channel (Gaidos and Marion, 2003). Hoffman and Tanaka (2002) proposed a variation on this theme: that ‘‘the chains of low, pitted cones’’ in Athabasca Valles resulted from deposits of volatile blocks from a debris flow, where the volatile was either cold CO2 or warm H2O. After the cessation of flooding and consequent drop of pressure, this volatile explodes, mimicking a phreatic cone. In its appeal to the deposition of CO2–ice blocks, the process is analogous to the formation of H2O–ice kettle holes. In its scenario of exploding volatiles, the process mimics phreatomagmatic rootless cones. Glaciolacustrine ice-block forms have been hypothesized for features in Kasei Valles and parts of Echus Chasma on Mars (Woodward-Lynas and Guigné, 2003). This hypothesis applies to the irregular to subcircular forms outlined by ridges, which are attributed to ice floes. To our knowledge, CMFs per se have not been proposed to explain MRRDs on Mars. However, large stagnating ice blocks have been hypothesized for various locales on Mars, including cold-based glaciers on volcanoes (e.g., Neukum et al., 2004; Shean et al., 2005), the meltback region of polar ice (e.g., Fishbaugh, 2004), and volatile-rich debris layers in impact basins (e.g., This class of MRRDs results either from formation of massive ice-cored pingos through groundwater flow, or from ice-block deposition in pro- or sub-glacial environments. Pingos may form through either hydraulic or hydrostatic mechanisms (see Burr et al. 2008 (this volume) for details). The ice-block MRRDs may be aligned, either by water or glacial flow. Boulder rings tend to be higher on their downstream side, and may have obstacle shadows. Circular moraine features tend to have tails on the down-flow (not necessarily the down slope) side. 5. Spatial analysis Morphological differences are helpful in determining MRRD origin, but significant morphological overlap among MRRD types often precludes conclusive categorization. In order to strengthen our ability to identify MRRDs by type, we have applied two independent, non-morphological statistical methods for analyzing MRRD spatial distribution. Before we discuss these results, we describe the data. 5.1. MRRD data Icelandic RC groups (RCGs) were previously analyzed by Bruno et al. (2004). Where we repeated this dimensionless analysis (discussed in Section 5.2 and summarized in Table 1), we incorporated the values from the RCGs used in this previous work, excluding the smallest and largest population groups. Where we conducted new dimensional analysis (discussed in Section 5.3 and summarized in Table 2), we re-analyzed the same five Icelandic datasets. These data consist of air photos at 1:37,000 scale on which the RCs were identified by an experienced Icelandic geologist. (See Bruno et al., 2004 for more information.) Likewise, the pingo data were analyzed previously by Bruno et al. (2006). They include hydrostatic pingos from the Tuktoyaktuk Peninsula, Northwest Territories, Canada, hydraulic pingos from central Alaska, and low broad mounds of uncertain origin at Prudhoe Bay, on the Alaskan North Slope. (See Bruno et al., 2006 for more information). As discussed above, the BRSs fall into two groups located near Tokio and Odessa, Washington, USA. Our data for the Tokio group come from Landsat 7 imagery available via the NASA WorldWind server-client software (worldwind.arc.nasa.gov), which was compared with oblique aerial and ground photographs to mark the BRSs. The data for the Odessa group come from a mapping of BRSs provided in the popular science book by Mueller and Mueller (1997), some of which were also visited by some of the authors of this work. Kettle holes were analyzed from aerial photographs of the Skeijarár outwash plains in southern Iceland photographs produced in 1997 by the National Road Authority of Iceland. We marked and analyzed the locations of kettle holes at two sites, both affected by the 1996 jökulhlaup (glacier outburst flood) from the Skeijarár glacier. One location was the ‘ice embayment’ outlet at the eastern part of the glacier front, and the second location was the Gı́gjukvı́sl outflow channel farther to the west where the channel crosses Route One. These are locations that some of us have previously visited after the 1996 jökulhlaup and for which other workers produced maps of the 1996 jökulhlaup deposits, Author's personal copy ARTICLE IN PRESS 590 D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 Table 2 Summary of spatial analysis of MRRDs that occur in fields. Type of MRRD Location Rootless conesa Iceland Hnuta (North) Hnuta (South) Trollhamar Stakafell Raudholar Pingo formsa Hydrostatic Tuktoyaktuk Pen., Canada Western Central Eastern Tanacross, Alaskaf Prudhoe Bay, Alaskag Steep Broad (E) Broad (W) Odessab Hydraulic Unknown Basaltic ring structures (BSRs) Mud volcanoes Glaciofluvial kettle holesd a Impact craters Secondaries Pedestal Tokioc Absheron Pen., Azerbaijan Iceland Total in sample set |c|e Average NN distance (km) R 357 301 131 192 198 0.016 0.013 0.051 0.020 0.054 0.83 0.74 0.59 0.66 0.94 6.15 8.52 8.66 8.78 1.56 282 665 213 152 1.6 1.8 2.0 2.6 0.80 0.85 0.83 0.51 6.28 7.31 4.53 11.15 376 112 287 143 1.3 0.93 0.97 0.7 0.70 0.78 0.78 0.76 10.94 4.14 7.02 5.26 28 196 0.1 3.4 1.12 0.67 1.00 8.59 0.81 0.58 9.89 32.51 Conclusion Clustered Clustered Skeijarársandur Gı́gjuvı́sl Mars Acidalia Planitia E. Acidalia Planitia 1 728 1661 67 257 0.3 2.5 1.11 1.00 1.54 0.07 E. Acidalia Planitia 2 98 2.6 1.07 1.28 Clustered Clustered Inconclusive due to data limitations (see footnotes) Clustered Clustered Inconclusive Not significant at the 0.05 level Bolded results indicate significance at the 0.05 level. a Data from Bruno et al. (2006). b Data from Mueller and Mueller (2005), p. 114. Additional analysis strongly suggests that the presence of roads is a dominant factor in the apparent clustering. See text for details. c Data derived from Landsat 7 imagery in comparison with oblique aerial photos. The low number of features in this population renders these results inconclusive. See text for details. d Data derived from aerial photographs from the National Road Authority, Iceland, in comparison with Russell and Knudsen (2002), Fay (2002a, b), and ground photographs. e The sign of c is dependent on the value of R. If R41.00, then c will be positive; if Ro1.00, then c will be negative. f Data from Holmes et al. (1968) Fig. 4 and Table 1. g Data from Walker et al. (1985). including ice kettle deposits (Russell and Knudsen, 2002; Fay, 2002b). The mud volcano data were from the Absheron Peninsula, Azerbaijan. These data were derived from co-registering an industry document detailing the geologic features of the area with a Landsat 7 image. The locations of a subset of the known features were then used to correct for a rotational shift and slight offset. Only the subaerial mud volcanoes were mapped. The offshore vents were more widely spaced, which could be an effect of (lower resolution) submarine mapping, so those mud volcanos were not used in this work. The secondary and pedestal impact crater datasets were those from Acidalia Planitia previously derived and analyzed by Bruno et al. (2004). 5.2. Dimensionless NN analysis Our first approach was to apply a dimensionless ‘‘nearest neighbor’’ (NN) analysis to the MRRDs discussed here. This analysis, based on the NN analysis of Clark and Evans (1954), had been previously applied to terrestrial pingos, terrestrial rootless cones, terrestrial tumuli, and Martian impact craters (see Bruno et al., 2004, 2006; Baloga et al., 2007). This approach involves calculation of two statistics for the purpose of (1) quantifying the spatial distribution of features within a field, and (2) estimating the statistical confidence in this assessment. The statistic R is the dimensionless ratio of the mean actual distance between a feature and its nearest neighbor to the distance expected in a spatially random distribution. Following conventional nearest-neighbor analysis (Clark and Evans, 1954), this work assumed a Poisson probability distribution for its spatially random distribution. This form of randomness would suggest that there are no physical interactions during the formation of the independent geologic features (i.e., MRRDs). Departures from Poisson randomness would suggest that the formation of one feature influenced the formation of other features, for example, due to resource depletion (Baloga et al., 2007). To apply this analysis technique, each MRRD is represented as a single point. R1 is associated with a (Poisson) random distribution. R values significantly less than or greater than 1 suggest that non-random processes are controlling spatial distribution (Bruno et al., 2004; Baloga et al., 2007). A confidence estimate, c, is calculated to assess the significance of the departure from randomness; a value of c outside the region defined by 1.5oco3.3 indicates a significant departure from randomness at the 0.05 significance level (Baloga et al., 2007; see Clark and Evans, 1954 for mathematical derivations for R and c). Rootless cones and collapsed pingos have similar R and c values. Thus, skewness and kurtosis of the pairwise NN data were Author's personal copy ARTICLE IN PRESS D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 Fig. 11. Plot illustrating the effect of resolution on skewness and kurtosis. examined as possible discriminators between these two MRRD types (Bruno et al., 2006). Given that the images used in these prior analyses have a range of resolutions (3–74 m/px), we reexamined those data to assess the influence of resolution. Six selected feature fields were analyzed at varying degrees of image resolution (degradation), with the R, c, skewness, and kurtosis computed at each stage. Although R and c values varied with resolution, in no case did that variation effect the final interpretation (Bruno, 2006). Neither was these two statistics significantly affected by the trimming technique. Trimming is a standard procedure in exploration data analysis (e.g., Hoaglin et al., 1983; Sheshkin, 1997) to delete outliers prior to analysis. The procedure is designed to expedite the evaluation of the key features of the distribution. We used a 5% asymmetric (high-end) trim (cf., Bruno et al., 2006). Whereas R and c values did not vary significantly with resolution or trimming technique, the skewness and kurtosis values for the images we used did vary with resolution. Higher resolution data tended to give lower skewness and kurtosis values than lower resolution data (Fig. 11), and this variation was significant enough to affect the final interpretation. For data at the same or similar resolutions, skewness and kurtosis may prove useful for distinguishing among population types. However, the data used here range over a factor of 20 in resolution. The conditions under which resolution could affect skewness and kurtosis are presently at issue and have not yet been fully investigated. Therefore, this avenue of analysis is not discussed further in this work. Here we calculate R and c from the datasets discussed above for terrestrial populations of BRSs, mud volcanoes, and glaciofluvial kettle holes. Our results are compiled with those from previous publications and presented in Table 2. We note the following: The kettle holes data were collected at the ice embayment outlet of the Skeijarár glacier, before the water spread out over the more distal Skeijarár outwash plains. These kettle holes may therefore be more closely spaced than the boulder ring structures identified farther down the outwash plains. Conversely, the ice blocks forming the boulder ring structures were observed to have grounded preferentially where the flow was stagnant and/or the water was shallow, such as on streamlined bars. This tendency would also produce clustering. Our second dataset of kettle holes from the Gı́gjukvı́sl channel provides a check on this possible clustering influence and resulted in a similar R value. Thus, the result that R is 591 significantly less than one for kettle holes (Table 2) is expected, regardless of the location of the scene, and we do not attribute it to a biased data sample. The Odessa BRSs have a low R value with |c| 43.3 (Table 2). However, this value may be an artifact of the roads running through the population set, which may have influenced the ‘observation’ of these features. We developed and applied a spatial analysis approach to determine the effect of linear features on point features in order to assess the effect of the roads on the BRS spatial distribution. Our specific question was if the roads could be the cause of the apparent departure from spatial randomness for that population. To perform the evaluation, we compared the statistical distribution of actual distances from each BRS to the nearest road with the distances expected for a hypothetical Poisson-based distribution. The results were distinctly dissimilar, with a log-normal result for the distances of the actual population versus a uniform result for the distances for a hypothetical randomly distributed population. This distinct dissimilarity strongly suggests that accessibility or other factors represented by the roads could be dominating the non-random test results. Further ground truthing or additional data (e.g., from aerial photographs) are needed to provide definitive results. A minimum of 30–40 data points was used in previous work, as synthetic images with less than this number produced inconsistent results (Bruno et al., 2004). Thus, the Tokio BRS (n ¼ 28) results, though presented for completeness, are considered inconclusive. In summary, our results for rootless cones, pingo forms, mud volcanoes, and glaciofluvial kettle holes were all similar. Thus, the spatial analysis statistics R and c alone cannot distinguish among these groups. In comparison, secondary and pedestal impact crater populations do not show clustering (Table 2; Bruno et al., 2006). Thus, this technique can differentiate (endogenic) surficial MRRDs from (exogenic) impact MRRDs. The results for the BRSs were not conclusive due to limited data (for the Tokio field) and separate statistical analysis indicating a dominant correspondence between the BRSs and the roads (for the Odessa group). We have not used skewness and kurtosis in this work due to the effect of resolution on the results. 5.3. Dimensional NN analysis Given this somewhat ambiguous result, we investigated additional means to distinguish among MRRDs types. Noting that some MRRD types exhibit distinctive scales in both feature size and distance between neighboring features, we therefore applied a dimensional NN analysis to our data. The following discussion, therefore, presents an analysis of differences in characteristic nearest neighbor distances as determined for each MRRD type. To assess the significance of these differences, we have used the standard statistical inference techniques commonly referred to as analysis of variance, or ANOVA. There are a variety of hypothesis tests that can be used within ANOVA to establish the statistical uniqueness of mean values when several (more than two) samples are being compared (Sheshkin, 1997). These hypothesis tests result in the estimation of confidence intervals around each mean value, where the reduced degrees of freedom resulting from comparison of multiple samples are accounted for. The confidence intervals are then used to infer whether or not the individual samples are statistically unique (i.e., samples with confidence intervals that overlap are indistinguishable, whereas those that do not overlap are different). Each of the individual hypothesis tests result in slight differences in the magnitude of Author's personal copy ARTICLE IN PRESS 592 D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 Fig. 12. (a) Geometric mean NN distances by individual MRRD population, and corresponding 95% confidence intervals. Colored boxes indicate MRRD type. (b) Geometric mean NN distances by MRRD type. However, the pingo MRRDs are given by population, as each pingo population exhibits different NN distances, possibly corresponding to difference formation mechanisms (see text). From left to right, MRRD types shown in order of increasing geometric mean NN distances. Fig. 13. Plot showing (a) an example of a raw distribution, and (b) its corresponding transformed distribution. the associated confidence intervals. For this study we have chosen the Bonferroni–Dunn (Sheshkin, 1997) intervals, which generally lie somewhere between some of the other more extreme choices. In this study, our samples sizes are large enough that the choice of interval is inconsequential. For both Fig. 12a and b, we have used 95% confidence intervals. In other words, there is a 95% probability that these intervals overlap with the true mean value for each sample. Fig. 12a is a plot of the geometric mean NN distance and corresponding confidence intervals for each group of MRRDs in Table 2. In some cases the confidence intervals are so narrow they appear as a single black horizontal line through the center of the data point. Each group in Table 2 is represented by at least one example. Colored boxes indicate specific types of MRRD, as indicated in the legend on the figure. Fig. 12b is a plot of the geometric mean nearest neighbor distances as determined by averaging distances for all features in each MRRD type. For example, the RCGs contain NN distances for Raudholar, Hnuta (north and south), Trollhamer, and Stakafell. The only exceptions are the groups of pingos. As discussed above, the three pingo locations exhibit different formation mechanisms —hydrostatic, hydraulic, and an uncertain origin. Because these data yield statistically different NN distances (i.e., confidence intervals do not overlap), we have plotted them as separate populations on Fig. 12b. One of the primary assumptions of all the ANOVA hypothesis tests is that data in each of the individual samples come from a Guassian (Normal) probability distribution. Like many other types of geologic data, the nearest neighbor distances for each of the samples in Table 2 are very strongly skewed. Fortunately, this type of distribution can easily be transformed by taking the natural log of each NN distance (e.g., Glaze et al., 2002, 2005; Bulmer et al., 2005; Martin et al., 2007). The resulting transformed distribution is, in most cases, very nearly normal, and the ANOVA techniques can be applied. Fig. 13 provides an example of this transformation applied to data from the rootless cone population at Raudholar, Iceland. In both Fig. 12a and b, all data have been transformed by taking the natural log before performing the Bonferroni–Dunn hypothesis test. Afterward, the mean values and associated confidence limits are transformed back to the original units (km) by taking the exponential. As a note, the mean values shown in both figures are, in fact, the mean value of the transformed data (mean of the normal distributions). When transformed back by taking the exponential, the resulting value is effectively the geometric mean value. This value differs slightly from the arithmetic mean (Fig. 13a), but better represents the peak value in a distribution that is asymmetric. Fig. 12a shows that, according to the Bonferroni–Dunn test, most of the individual samples within each MRRD type are virtually Author's personal copy ARTICLE IN PRESS D.M. Burr et al. / Planetary and Space Science 57 (2009) 579–596 indistinguishable from each other. This provides confidence that those MRRD types with similar geometric mean NN distances— namely kettleholes, rootless cones, and Adidalia Planitia pedestal craters—, the NN statistical measure is robust. Pingos and basaltic ring structures are exceptions to this. In the case of the pingos, there are statistically three distinct groups: (1) Tuktoyaktuk (West and Central), (2) Tuktoyaktuk East and Holmes, and (3) Prudhoe Bay. Other than the fact that the Tuktoyaktuk and Holmes pingo NN distances appear similar, these groupings are generally consistent with the formation process distinctions of hydrostatic, hydraulic, and unkown, respectively. The BRS results may be due to influence on the observations by the roads and the low number of Tokio BRS, as discussed above. Only a single population was available for mud volcanoes and for secondary impact craters. 593 Odessa Crater on their property. Robin Raddi of the Inuvialuit Nation guided us during field research in the Tuktoyaktuk Peninsula, NWT, Canada, through permits granted by the Aurora Research Institute (Inuvik), Parks Canada (western Canada office), the Inuvialuit Land Administration (Tuktoyaktuk), and the Tuktoyaktuk Hunters and Trappers Association (Tuktoyaktuk). Árni Snorrason, head of the Hydrological Service, National Energy Authority of Iceland, provided logistical support and scientific information during field work in Iceland. Travel to Iceland for DMB was sponsored by the Fulbright Foundation. Financial support for BRS field work was provided through the USGS by Interagency Agreement W-10,265 issued through the NASA Planetary Geology and Geophysics Program. Funding for manuscript preparation was provided to DMB through the Mars Data Analysis Program Grant NNG05GP31G and Mars Fundamental Research Program Grant NNG06GH12G. 6. Summary and implications References Equifinality is a similarity in final morphology that results from different preceding processes (Chorley et al., 1984; Beven, 1996). For this reason, features are best assessed through genetic hypotheses formulated as multiple working hypotheses, which can be a greater advantage in planetary science than better resolution data (Zimbelman, 2001). Our aim in this paper has been to provide information to aid in developing possible hypotheses for MRRDs, for testing among them, and for understanding their implications. Various morphologic characteristics combined with statistically different geometric mean NN distances provide means for distinguishing among some MRRDs by origin. At the same time, morphological similarity and overlapping spatial distribution measures among other MRRD populations reinforce the importance of using multiple working hypotheses (Gilbert 1886; Chamberlin 1897) to determine the origin of any give field of Martian MRRDs. Table 1 provides a summary of some distinguishing morphological characteristics of terrestrial MRRDs, discernable at the resolution of high-resolution Mars Orbiter Camera (Malin et al., 2004) or HiRISE (McEwen et al., 2007) imagery. These provide means to evaluate the origin(s) of observed MRRDs on Mars. Table 1 also summarizes physical characteristics that would be shared by disparate types of MRRDs. For example, flows may be associated with rootless cones (i.e., rheomorphic flows), mud volcanoes (i.e., mud flows), and pingos (i.e., sedimentary slumping). Table 2 provides the results of our nearest neighbor analyses. The results show that dimensionless NN statistics are similar for the surficial processes discussed here, although they can be used to distinguish between endogenic and exogenic MRRDs. The statistical measures of R and c are not biased by image resolution (Bruno, 2006) so the results represented here should be applicable to data of varying resolutions. In contrast to dimensionless NN statistics, dimensional NN statistics could be helpful in distinguishing certain classes of MRRDs. Dimensional statistics alone would provide ambiguous results for distinguishing rootless cones from kettle holes or pedestal craters from hydraulic pingos. However, our terrestrial datasets yield order of magnitude differences in the (dimensional) spacing among (1) rootless cones and kettle holes, (2) secondary craters and basaltic ring structures, and (3) pingos, pedestal craters and mud volcanoes. 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