J. Mt. Sci. (2017) 14(11) e-mail: jms@imde.ac.cn http://jms.imde.ac.cn

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The following appendixes (Appendixes 1, 2, 3 and 4) are the Electronic Supplementary Material of the article entitled “Evaluating effectiveness of frequency ratio, fuzzy logic and logistic regression models in assessing landslide susceptibility: a case from Rudraprayag district, India” at https://doi.org/10.1007/s11629-017-4404-1.

Appendix 1 Data base for landslide susceptibility mapping in Rudraptayag district, India

Parameters Data Types Source of the data Details about data Periods

Landslide inventory map

Point and polygon coverage

Google earth digitization, IRS LISS III, NSDI

Google earth digitization, 23×23 meter LISS III, 1: 25,000

2011 to 2015

Geology/lithology Line, point and polygon coverage Geological Survey of India 1:50,000 1975

Lineament density spatial/ raster grid

Geological Survey of India, IRS LISS III

1:50,000, 23×23 meter LISS III

2011 and 2012

Distance from fault Polygon coverage buffer

Geological Survey of India, IRS LISS III

1:50,000, 23×23 meter LISS III

2011 and 2012

Land use/land cover Spatial/ raster grid Landsat 8 OLI (USGS) 30 meter spatial resolution November, 2015

Soil texture Spatial ARC/INFO Polygon coverage

National Bureau of Soil Survey & Land Use Planning, India

1:50,000 2000

Soil depth Spatial ARC/INFO Polygon coverage

National Bureau of Soil Survey & Land Use Planning, India 1:50,000 2000

Seismic zonation Line, point and polygon coverage

Indian Metrological Department 1:1,00,000 1720 to 2009

Drainage density spatial/ raster grid Survey of India, topographical sheet

1:25,000 and 1: 50,000 Topographical sheet NA

Geomorphic features Spatial ARC/INFO polygon coverage

Survey of India, IRS LISS-P6 images

1:25,000 and 1: 50,000 Topographical Sheet, 23×23 meter LISS III

1975, 2011, 2012

Slope angle Raster grid SRTM DEM, (USGS) 1 arc second global 30×30 m spatial resolution

September, 2014

Slope aspect Raster grid SRTM DEM, (USGS) 1 arc second global 30×30 m spatial resolution

September, 2014

Population distribution Non spatial Census of India, 2011 PCA, town & village

abstract , 2011 2011

Distance from road Polygon coverage buffer

Survey of India, IRS LISS-P6 images

1:25,000 and 1: 50,000 Topographical sheet, 23×23 meter LISS III

2011 and 2012

Distance from settlement

Polygon coverage buffer

IRS LISS-P6 images 1: 50,000 Topographical sheet

2011 and 2012

J. Mt. Sci. (2017) 14(11) e-mail: jms@imde.ac.cn http://jms.imde.ac.cn

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Appendix 2 Fuzzy membership values for the categorical factor maps.

Appendix 3 The effect of fourteen landslide conditioning factors on landslide susceptibility mapping for the study area

0 2 4 6 8 10 12 14

Distance from roadSlope angle

Distance from faultLineament density

Drainage densityLULC

Soil textureSoil depth

AspectDistance from settlement

Lithology/geologyGeomorphic features

Population distributionSeismic zonations

Average merit (AM)

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J. Mt. Sci. (2017) 14(11) e-mail: jms@imde.ac.cn http://jms.imde.ac.cn

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Appendix 4 Analysis of models through the values calculated from percentage of domain pixel and landslide occurrence pixel.

Par

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Parameters domain

Number of Pixel in Domain

Percentage of Domain Pixel (a)

Number of landslide Occurrence Pixel

Percentage of Landslide Pixel (b)

Frequency Ratio (b/a)

Coefficient of Logistics Regression

Fuzzy Membership value

Geo

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1: Geology/Lithology Chamoli Quartzite 220939 27.89 8400 18.65 0.67 -0.0386 0.04

Gneiss- migmatites

379933 47.96 24743 54.94 1.15 0.0051 0.14

Granite 500 Ma 53337 6.73 2258 5.01 0.74 0.0346 0.06

Nagthat 4277 0.54 1000 2.22 4.11 0.2984 0.73 Chandpur 14487 1.83 1814 4.03 2.2 0.1096 0.35 Shail-Deoban 3230 0.41 1010 2.24 5.5 0.4356 1

Chail, Ramgarh, Amri

98767 12.47 2508 5.57 0.45 -0.0641 0

Tourmaline Granite 11157 1.41 2600 5.77 4.1 0.2974 0.72

Salkhalas, Jutogh, Navakot

6054 0.76 700 1.55 2.03 0.1456 0.31

2: Lineaments Density Very Low (0-0.3 km2) 180698 22.81 4815 10.69 0.47 0.0031 0

Low (0.3-0.6 km2) 262596 33.15 13701 30.42 0.92 0.0031 0.27

Moderate (0.6-0.9 km2)

239308 30.21 9112 20.23 0.67 0.0031 0.08

High (0.9-1.2 km2) 98982 12.49 15893 35.29 2.83 0.0031 1

Very High (1.2-1.5 km2) 10597 1.34 1512 3.36 2.5 0.0031 0.8

3: Fault Buffer <500m 75574 9.54 4338 9.63 1.01 -0.0015 0.92 500m- 1km 63889 8.06 1545 3.43 0.43 -0.0015 0 >1km 652718 82.4 39150 86.94 1.06 -0.0015 1 4: Land use/land cover Forest evergreen 90321 11.4 3105 6.89 0.6 0 0.04

Scrub Forest 101100 12.76 4175 9.27 0.73 0.0532 0.16 Forest Deciduous 109607 13.84 3912 8.69 0.63 0.0436 0.12

Grass land & grazing Land 122875 15.51 7253 16.11 1.04 0.3046 0.44

Barren Rocky 140181 17.7 9769 21.69 1.23 0.2141 0.49

River Bed 11348 1.43 375 0.83 0.58 0 0.03 Permanent snow 24844 3.14 724 1.61 0.51 -0.0001 0

Glacial areas 48541 6.13 6128 13.61 2.22 0.5287 1 Crop land 108717 13.72 5959 13.23 0.96 0.1405 0.65 Settlement 34647 4.37 3633 8.07 1.84 0.3412 0.53

(-To be continued-)

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(-Continued)

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Parameters domain

Number of Pixel in Domain

Percentage of Domain Pixel (a)

Number of landslide Occurrence Pixel

Percentage of Landslide Pixel (b)

Frequency Ratio (b/a)

Coefficient of Logistics Regression

Fuzzy Membership value

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5: Soil Texture

Loamy 209577 26.46 7941 17.63 0.67 0.0081 0.38 Fine Loamy 203849 25.73 6152 13.66 0.53 0.0006 0.73 Coarse Loamy 105537 13.32 10175 22.59 1.7 0.0145 0.06

Mixed Loamy 162506 20.51 12548 27.86 1.36 0.2741 Loamy Skeletal

51711 6.53 6191 13.75 2.11 0.0115 1

Sandy Skeletal 59001 7.45 2026 4.5 0.6 -0.0203 0

6: Soil Depth Very Shallow (10-25cm) 157568 19.89 15576 34.59 1.74 -0.0192 1

Shallow (25-50cm)

192731 24.33 12735 28.28 1.16 -0.0192 0.57

Moderate Shallow (50-75cm)

214397 27.06 5105 11.34 0.42 -0.0192 0

Moderate Deep (75-100 cm)

79217 10 3977 8.83 0.88 -0.0192 0.19

Deep (>100cm) 148268 18.72 7640 16.97 0.91 -0.0192 0.14

7: Seismic Zonation Zone IV 759154 95.83 45005 99.94 1.04 0.0395 1 Zone V 33027 4.17 28 0.06 0.01 0 0

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8: Drainage Density Very Low (0-0.5 km2) 179911 22.71 3657 8.08 0.36 -0.0001 0

Low (0.6 -1.0 km2)

388121 48.99 21531 47.81 0.98 -0.0001 0.25

Moderate (1.1-1.5km2) 193742 24.46 15870 35.24 1.44 -0.0001 0.48

High (1.6-2.0 km2) 15314 1.93 1441 3.2 1.66 -0.0001 0.5

Very High (2.1-2.5km2) 15093 1.91 2554 5.67 2.96 -0.0001 1

9:Geomorphic features Glacial cover/Snow cover

104948 13.25 2394 5.32 0.4 -0.5489 0

Terrain surface 4451 0.56 720 1.6 2.85 -0.1684 0.79

Dissected Hills and Valleys

660109 83.33 37410 83.07 1 -0.6911 0.19

Mass wasting landforms

594 0.07 116 0.26 3.46 0.0025 0.99

Alluvial Plain 22079 2.79 4393 9.76 3.5 0.0145 1

(-To be continued-)

J. Mt. Sci. (2017) 14(11) e-mail: jms@imde.ac.cn http://jms.imde.ac.cn

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(-Continued-)

Par

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Parameters domain

Number of Pixel in Domain

Percentage of Domain Pixel (a)

Number of landslide Occurrence Pixel

Percentage of Landslide Pixel (b)

Frequency Ratio (b/a)

Coefficient of Logistics Regression

Fuzzy Membership value

Top

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10: Slop Angel 0° – 15° 109834 13.86 3502 7.78 0.56 0.0503 0 15° – 30° 326905 41.27 12926 28.7 0.7 0.0503 0.09 30° – 45° 275339 34.76 16123 35.8 1.03 0.0503 0.17 45° – 60° 69306 8.75 11302 25.1 2.87 0.0503 1 > 60° 10797 1.36 1180 2.62 1.93 0.0503 0.4 11:Slop Aspect 337.5-22.5 North 109587 13.83 5027 11.16 0.81 0.1242 0.33

22.5-67.5 North-east 98461 12.43 6032 13.39 1.08 0.2973 0.5

67.5-112.5 East

81385 10.27 8584 19.06 1.86 0.5921 1

112.5-157.5 South-east 101713 12.84 8619 19.14 1.49 0.5187 0.77

157.5-202.5 South 101638 12.83 6367 14.14 1.1 0.0182 0.52

202.5-247.5 South-west 91337 11.53 4374 9.71 0.84 0.2054 0.36

247.5-292.5 West 85242 10.76 3869 8.59 0.8 0.0011 0.33

292.5-337.5 North-west

81287 10.26 1287 2.86 0.28 -0.1283 0

-1 Flat 41531 5.24 874 1.94 0.37 0.0254 0.06

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12:Population 0 648995 81.93 30152 66.96 0.82 -0.0321 0 1 - 200 81501 10.29 4254 9.45 0.92 -0.0321 0.02 201 - 400 29045 3.67 6103 13.55 3.7 -0.0321 1 401 - 600 14572 1.84 2011 4.47 2.43 -0.0321 0.51 >600 18068 2.28 2513 5.58 2.45 -0.0321 0.56 13: Road Network Buffer <1km 148264 18.72 17141 38.06 2.03 -0.0021 1 1–2 km 106985 13.51 8752 19.43 1.44 -0.0021 0.54 >2km 536932 67.78 19140 42.5 0.63 -0.0021 0 14: Distance from Settlement < 500m 206911 26.12 25778 57.24 2.19 -0.0056 1 500m–1km 63091 7.96 3712 8.24 1.04 -0.0056 0.44 1km–2km 137294 17.33 12593 27.96 1.61 -0.0056 0.72 >2km 384885 48.59 2950 6.55 0.13 -0.0056 0