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K-MEANS CLUSTERING AND MAPPING OF ALL FOUR MARS ROVERS' APXS OXIDE AND ELE- MENT RELATIVE ABUNDANCE DATA. C.M. Rodrigue 1 , 1 Geography, California State University, Long Beach, CA 90840-1101, [email protected]. Introduction: Thirteen out of 14 successful lan- ders, orbiters, and rovers brought 26 spectrometer sys- tems to Mars. Attempts have been made to relate spec- tra taken by different instruments. [1] ran correlations among the 3 spectrometers on the MER rovers and found virtually none, concluding that this at least im- plies complementarity and non-redundancy. Others have tried ensemble approaches to rock and soil classification, exploiting sensor complementarity. [2] integrated 6 cameras and the LIBS and APXS spec- trometers on MSL to mimic geologists' field and lab processes for rock identification, resulting in a petro- logical classification of rocks in Gale Crater. Other en- semble approaches have triangulated orbiter and rover sensors. [3] brought together the hyperspectr al CRISM spectrometer on the Mars Reconnaissance Orbiter (MRO) with the Mini-TES, Mössbauer, and APXS spectrometers on the MER-B rover to bear on the de- position and alteration histories of sulfate minerals in Meridiani Planum. [4] integrated 4 spectrometers on 3 orbiters and the HiRISE camera on MRO with spec- trometers on 3 rovers working near the crustal dichoto- my to work out 2 different magmatic series in Noachi- an rocks: the alkaline and the sub-alcaline suites. The present paper combines spectra from the 1 spectrometer found on all 4 rovers, APXS. The goal is to classify all its targets for comparison of all 4 regions in a single inductively developed framework. Data and Methods: Eight steps were involved. First, all 901 Alpha Proton/Particle X-ray Spectrometer (APXS) readings from all 4 rovers through November 2016 were downloaded from the Planetary Data Sys- tem (PDS) Geosciences Node and USGS in a variety of formats and layouts. Second, these were integrated into a common database, in an OpenOffice Calc spreadsheet. These readings contain uncertainties re- flecting the evolution of the instrument, surface treat- ment of targets, and vagaries of instrument placement but were accepted as is. Third, all readings for each ox- ide and element were standardized against their means and standard deviations for all 901 records. Fourth, the resulting t-scores were then imported into PAleonto- logical STatistics (PAST 3) software for K-means clus- tering (K=15). Fifth was calculation of descriptive sta- tistics for oxides and elements by cluster and geodiver- sity statistics for the 4 sites. The sixth step was geocod- ing: Latitudes and longitudes for each rover's original data files had been reckoned differently and required pre-processing for consistent placement on the same datum (MOLA, r=3396 km). The seventh step entailed saving a part of the database as a CSV file of clusters, names, missions, latitudes and longitudes, and select attributes, which was then imported for mapping in Google Earth Mars. Comparison of the means and ranges of each cluster in Calc graphs led to the eighth step: grouping the 15 clusters into 5 metaclusters and testing contrasts among rover sites with Chi-squared. Results: Results consist of visualizations, includ- ing a downloadable KMZ map (http://web.csulb.edu/ ~rodrigue/mars/apxs/GE/APXS15tscores.kmz), graphs of standardized oxide and element scores by cluster and metacluster, graph of clusters present at each rover site, tables of the alpha and beta and equitability di- versities of site clusters, as well as detailed descriptions of each cluster and sample targets. Figure 1: Example of Google Earth Mars map of APXS clusters, MER-B, Victoria Crater, Meridiani Figure 2: Mean t-scores of oxides & elements by metacluster. 1262.pdf 51st Lunar and Planetary Science Conference (2020)
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Page 1: K-MEANS CLUSTERING AND MAPPING OF ALL …Metacluster B (Basaltic rocks and soils) Cluster 6 (187 basaltic rocks and soils, the least diver-gent material on Mars) Cluster 8 (102 pictritic

K-MEANS CLUSTERING AND MAPPING OF ALL FOUR MARS ROVERS' APXS OXIDE AND ELE-MENT RELATIVE ABUNDANCE DATA. C.M. Rodrigue1 , 1Geography, California State University, LongBeach, CA 90840-1101, [email protected].

Introduction: Thirteen out of 14 successful lan-ders, orbiters, and rovers brought 26 spectrometer sys-tems to Mars. Attempts have been made to relate spec-tra taken by different instruments. [1] ran correlationsamong the 3 spectrometers on the MER rovers andfound virtually none, concluding that this at least im-plies complementarity and non-redundancy.

Others have tried ensemble approaches to rock andsoil classification, exploiting sensor complementarity.[2] integrated 6 cameras and the LIBS and APXS spec-trometers on MSL to mimic geologists' field and labprocesses for rock identification, resulting in a petro-logical classification of rocks in Gale Crater. Other en-semble approaches have triangulated orbiter and roversensors. [3] brought together the hyperspectr al CRISMspectrometer on the Mars Reconnaissance Orbiter(MRO) with the Mini-TES, Mössbauer, and APXSspectrometers on the MER-B rover to bear on the de-position and alteration histories of sulfate minerals inMeridiani Planum. [4] integrated 4 spectrometers on 3orbiters and the HiRISE camera on MRO with spec-trometers on 3 rovers working near the crustal dichoto-my to work out 2 different magmatic series in Noachi-an rocks: the alkaline and the sub-alcaline suites.

The present paper combines spectra from the 1spectrometer found on all 4 rovers, APXS. The goal isto classify all its targets for comparison of all 4 regionsin a single inductively developed framework.

Data and Methods: Eight steps were involved.First, all 901 Alpha Proton/Particle X-ray Spectrometer(APXS) readings from all 4 rovers through November2016 were downloaded from the Planetary Data Sys-tem (PDS) Geosciences Node and USGS in a variety offormats and layouts. Second, these were integratedinto a common database, in an OpenOffice Calcspreadsheet. These readings contain uncertainties re-flecting the evolution of the instrument, surface treat-ment of targets, and vagaries of instrument placementbut were accepted as is. Third, all readings for each ox-ide and element were standardized against their meansand standard deviations for all 901 records. Fourth, theresulting t-scores were then imported into PAleonto-logical STatistics (PAST 3) software for K-means clus-tering (K=15). Fifth was calculation of descriptive sta-tistics for oxides and elements by cluster and geodiver-sity statistics for the 4 sites. The sixth step was geocod-ing: Latitudes and longitudes for each rover's originaldata files had been reckoned differently and requiredpre-processing for consistent placement on the samedatum (MOLA, r=3396 km). The seventh step entailed

saving a part of the database as a CSV file of clusters,names, missions, latitudes and longitudes, and selectattributes, which was then imported for mapping inGoogle Earth Mars. Comparison of the means andranges of each cluster in Calc graphs led to the eighthstep: grouping the 15 clusters into 5 metaclusters andtesting contrasts among rover sites with Chi-squared.

Results: Results consist of visualizations, includ-ing a downloadable KMZ map (http://web.csulb.edu/~rodrigue/mars/apxs/GE/APXS15tscores.kmz), graphsof standardized oxide and element scores by clusterand metacluster, graph of clusters present at each roversite, tables of the alpha and beta and equitability di-versities of site clusters, as well as detailed descriptionsof each cluster and sample targets.

Figure 1: Example of Google Earth Mars map ofAPXS clusters, MER-B, Victoria Crater, Meridiani

Figure 2: Mean t-scores of oxides & elements by metacluster.

1262.pdf51st Lunar and Planetary Science Conference (2020)

Page 2: K-MEANS CLUSTERING AND MAPPING OF ALL …Metacluster B (Basaltic rocks and soils) Cluster 6 (187 basaltic rocks and soils, the least diver-gent material on Mars) Cluster 8 (102 pictritic

Figure 3: Clusters by rover site

Metacluster and Cluster Descriptions. Metacluster X (many eXogenous) Cluster 7 (16 meteorites or hydrothermally altered with

extremely high Ni, elevated Mg and Zn)Metacluster B (Basaltic rocks and soils) Cluster 6 (187 basaltic rocks and soils, the least diver-

gent material on Mars) Cluster 8 (102 pictritic basaltic rocks, some soils) Cluster 15 (72 soils, from local basalts and global dust) Cluster 5 (32 olivine, some with precipitation of Fe sul-

fates and carbonates)Metacluster E (possibly from Evolved magmas) Cluster 3 (35 alkaline igneous rocks akin to mugearite) Cluster 2 (79, elevated silica, andesitic, can be more al-

tered by neutral water than fractionated) Cluster 10 (28, confined to Husband Hill, Wishstone &

Champagne class rocks, tephritic)Metacluster N (Neutral to alkaline aqueous alteration) Cluster 1 (112 Mars-typical material showing slight

modification by non-acidic waters: Cl & Br) Cluster 12 (42 also Mars-typical basaltic material en-

riched in Cl and somewhat elevated in Br) Cluster 9 (13 targets from just 2 rocks in Meridiani &

Gale Crater, clastics highly elevated in Zn & Br) Cluster 11 (5 targets from the Stephen rock in Gale

drastically elevated in Zn, Mn, Mg, & Br, Cl)Metacluster S (Sulfur, acidic aqueous alteration) Cluster 4 (132 Mars-typical rock, mudstone, or soil

somewhat elevated in sulfur trioxide)

Cluster 13 (28 pervasively acidic water altered materialswith significant elevation in sulfur trioxide)

Cluster 14 (18 highly elevated in SO3 and CaO and in-

terpreted as calcium carbonate)Discussion and Conclusions. The 15 clusters and 5

metaclusters seem to fall into 3 starting points: basaltic, pos-sibly evolved magmatic materials, and meteorites or materi-als resembling them. The basaltic starting point in some cas-es then diverged into 2 aqueous alteration pathways, oneneutral-alkaline and the other acidic, themselves linked tochanges in the martian atmosphere described in [5]'s Phyl-locian and Theiikian.

Figure 4: Starting points and alteration trajectories of clusters

The allocation of the 15 clusters contrasts visibly and of-ten sharply among the 4 rover study areas. Testing the 3rover sites with enough statistical power (MER-A, MER-B,and MSL) for the significance of the differences among themin metacluster allocation, X2 was 304.022 at 8 df, withp<0.001 and an effect size of 0.413: highly significant andmoderately strong differences among the study areas. GusevCrater is basalt dominated and acidic aqueous impoverished,Meridiani Planum is dominated by acidic aqueous signalsand short on evolved magma-derived and neutral aqueous al-tered materials, and Gale Crater is enhanced in evolved mag-ma-derived and neutral-aqueous altered materials and defi-cient in basaltic materials.

Acknowledgments: MER and MSL APXS datawere obtained from the PDS Geosciences Node:https://pds-geosciences.wustl.edu/. Mars PathfinderAPXS Oxides Data came from USGS PDS ImagingNode Server: https://pdsimage2.wr.usgs.gov/. PASTavailable at http://folk.uio.no/ohammer/past/; GoogleEarth at http://www.google.com/earth/; my X2 calcula-tor at http://web.csulb.edu/~rodrigue/ChiSquare.ods. Iwish to thank Fred Calef (JPL) for MER-A UTM data.

References: [1] Anderson, R.B. and Bell, J.F., III(2013) Icarus, 223, 157-180. [2] Mangold, N. et al.(2017) Icarus, 284, 1-17. [3] Arvidson, R.E. et al.(2015) JGR: Planets, 120, 429-451. [4] Sautter, V. etal. (2016) Lithos, 254/255, 36-52. [5] Bibring, J.-P. etal. (2006) Science, 312, 400-404.

1262.pdf51st Lunar and Planetary Science Conference (2020)


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