Landslide Forecasting at the HJ Andrews

Experimental Forest Using GIS

 


 

 


 

 

Table of Contents

 

Introduction

Background

Purpose

 

Development of HJ Andrews Digital Watershed using ArcView GIS Tools

DEMs

Landslides

Soils

 

SINMAP Implementation

Theory

Implementation

Establishing Model Parameters

Importing DEM

Creating Calibration Region Theme

Adding Landslides

Preparatory Grid Processing

Stability Analysis

Calibration Methods

 

Results

 

Conclusions

 

References

 

 

 

Introduction

 

 

This term project has been prepared to showcase one tool that may be used to aid in educated and controlled development and related population growth in areas of the United States susceptible to terrain instability.  The Stability Index Approach to Terrain Stability Hazards Mapping (SINMAP) model is a program designed to assess terrain stability conditions in the geographical information system (GIS) framework.  As presented in this report, this tool was used to identify and map potentially unstable regions of the HJ Andrews Experimental Forest (Figure 1.1), located approximately 50 miles east of Eugene, Oregon.

 

Figure 1.1  Location Map of HJ Andrews Experimental Forest

 

Background

 

Terrain stability has plagued the western United States ever since adventure-seekers were tempted by promises of gold, land, and freedom in the late 1800s.   For the people from the East and Midwest, the route west traversed rugged and difficult land, but, inevitably, this “untamed” land began to be settled.  Along with the influx of population, however, came the haphazard use of the abundant natural resources of the west.  The necessity of transportation yielded roads in inhospitable country; houses needed to be built, and homesteaders turned to the forests for answers.  Development continues to this day, but for the past several decades Americans have begun to see the effects of uncontrolled growth.

 

Too often, this development has had adverse effects on the natural landscape – one such example is landslides.  Although they occur in every state and U.S. territory, some areas are more vulnerable than others. The Rocky Mountains, the Appalachian Mountains, the Pacific Coastal ranges, and parts of Alaska and Hawaii all have areas of very weak or stressed material resting on steep slopes. Together with the construction of homes and other structures in these areas, heavy logging and the associated roads constructed to access harvestable timber, and increased groundwater flows and surface water runoff due to development, landslides have become prevalent in these areas, especially during seasons of heavy rain and snowfall.  Mudslides have plagued California, among other states, for many years, and Colorado had several fatal avalanches in 1999.

 

Determining the locations of areas potentially susceptible to these natural phenomena has become critical as the population in the west continues to strain the limits of the surrounding resources.  In particular, GIS has come to light in the last decade as an effective tool to map dangerous areas throughout the United States.

 

Purpose

 

The purpose of this report is to determine the effectiveness of mapping potentially unstable areas using GIS and digital terrain data that is readily available over the Internet.  The HJ Andrews Experimental Forest was selected because data specific to this application has been developed in the past several years, including:

 

§    Digital Elevation Models (DEMs) with a resolution fine enough to accurately represent the terrain;

§    Groundwater recharge data necessary to populate the model;

§    Soils data specific to the sub-basin of interest; and

§    Maps of the locations and types of landslides that have occurred in the sub-basin necessary to calibrate the model.

 

In particular, this report will present the methodology used to define a digital representation of the terrain.  The infinite slope stability model will be discussed, and the SINMAP model will be applied to the HJ Andrews site, generating a stability index for the site, as well as a map of the areas most susceptible to landslides, which will be calibrated with actual landslide data.

 

Back to Table of Contents

 

 

Development of HJ Andrews Digital Watershed Using ArcView GIS Tools

 

 

Established in 1948 by the US Forest Service, the HJ Andrews Experimental Forest has been the root of the HJ Andrews Long Term Ecological Research (LTER) program - a major center for analysis of forest and stream ecosystems in the Pacific Northwest.  Since its inception, predominantly Forest Service research has been conducted on the management of watersheds, soils, and vegetation in the sub-basin. LTER work has developed a backbone of long-term field experiments as well as long-term measurement programs focused on climate, stream flow and water quality, and vegetation succession.  During LTER3 (1990-1996) increasing emphasis was placed on developing the concepts and tools needed to predict effects of natural disturbance, land use, and climate change on ecosystem structure, function, and species composition.  Portions of this data have been used for the application of the SINMAP tool to the HJ Andrews sub-basin.

 

With only basic terrain data, such as DEMs, GIS tools are able to provide environmentalists, natural resource planners, and developers alike with a general idea of areas most susceptible to terrain instability. ArcInfo is a powerful GIS tool used to create GIS data, while ArcView is a particular GIS tool that is capable of manipulating existing GIS data.

 

DEMs

 

The first step taken to determine the potential susceptibility of terrain to landslides in the HJ Andrews sub-basin was to develop an accurate representation of the terrain. DEMs, readily available at several different resolutions over the Internet (http://edcwww.cr.usgs.gov/doc/edchome/ndcdb/ndcdb.html), are packets of data encompassing a prescribed area that provide three-dimensional data, much like an electronic topographic map of the area. A DEM consists of a sampled array of elevations for ground positions that are normally at regularly spaced intervals.  DEMs can be imported into ArcView using the Spatial Analyst extension.

 

ASCII Grid

 

A DEM with a 10-meter by 10-meter cell coverage for the HJ Andrews site was made available and imported into ArcView.  The following steps were implemented to successfully load the DEM into GIS:

 

1.      The file dem.asc was imported into ArcView using the File/Import menu.

2.      The file was opened in a text editor to ensure that the data was correct and in the proper format.

3.      The first six lines of the file were edited in a text editor to match other ASCII DEMs.  The original file read:

 

north: 4903755

south: 4893465

east: 572175

west: 558465

rows: 343

cols: 457

 

          The first six lines of the file were modified to read:

 

ncols                     457

nrows                    343

xllcorner                558465

yllcorner                4893465

cellsize                   10

NODATA_value   -9999

 

This was necessary because ArcView is designed to read this data in a particular order and for unknown reasons, the ASCII DEM did not supply this data in the correct order.

 

A representation of the DEM as imported into ArcView is presented in Figure 2.1.

 

Figure 2.1  HJ Andrews DEM

 

 

Projection

 

The projection of the DEM was determined to be in the Universal Transverse Mercator (UTM) projection, which in this case used the North American Datum (NAD) of 1927.  The HJ Andrews site falls in Zone 10 of the UTM projection.  This was determined by opening the dem.prj text file associated with the DEM.

 

Determining the projection of the DEM was critical due to the fact that all of the other data layers that were to be used with the DEM had to be in the same projection, with the same cell size defined for each subsequent data layer as that of the original DEM.

 

Grid Clipping using CRWR-Raster

 

The ArcView extension CRWR-Raster was used to clip the DEM grid to fall entirely within the limits of the Boundary theme.  With the DEM grid active, the steps followed included:

 

1.      Select CRWR-Raster/Clip Grid by Polygon

2.      Select Yes to clip active theme by polygon to be chosen

3.      Select Boundary as Clipping Theme

 

A new DEM grid was generated that had all the elevation values completely within the Boundary theme.

 

Back to Table of Contents

 

Landslides

 

Landslide data specific to the HJ Andrews site was a critical piece of information for this site, eventually used to calibrate the SINMAP model.  The landslide data was downloaded in ArcInfo format (the file had a .e00 extension) and was imported into ArcView using the Import 71 feature.

 

Point Coverage

 

The landslide data was added as a point coverage theme, with each point having attributes of area, perimeter, slide id, slide #, id, northing, and easting.

 

Projection

 

The projection for the landslide data was also determined to be in the UTM – NAD 27 Zone 10 projection, so no additional projection was necessary.

 

Type field

 

In order to successfully calibrate the SINMAP model, a field called Type had to be defined for each point.  Initially, there was no Type field associated with each landslide.  This data was gathered from personnel at the HJ Andrews site and was added manually to the attribute table of the point coverage.  With the Attributes to Slides theme active, the Type field was added using the following steps:

 

1.      Select Table/Start Editing

2.      Select Edit/Add Field

3.      At the Name prompt, input Type

4.      Manually enter the landslide type for each point

5.      Select Table/Save Edits

6.      Select Table/Stop Editing

 

The landslide type was differentiated between those that started as a result of road construction (2) and those unrelated to road construction (1).  This allowed the calibration of the SINMAP model with only the naturally occurring landslides and gave a more true representation of the areas of the sub-basin susceptible to landslides due to terrain and moisture conditions in the soil.

 

Figure 2.2  Type Field in Landslide Attribute Table

 

Back to Table of Contents

 

Soils

 

Soils data for the HJ Andrews sub-basin was also downloaded.  This included soils data specific to the HJ Andrews site available on the project web site in addition to State Soil Geographic (STASGO) database data downloaded from the USGS (http://www.ftw.nrcs.usda.gov/statsgo2_ftp.html)

 

HJ Andrews Data

 

The soils data specific to the HJ Andrews sub-basin was downloaded from the project web site in ArcInfo format and imported into ArcView using the Import 71 feature.  The attributes associated with this data included:

 

§    Area

§    Perimeter

§    Soil Survey #

§    Soil Survey ID

§    Soil Unit

§    Unit Name

§    Description

§    Slope Class

§    Depth Class

§    Land Type

§    Map Symbol

§    Map Unit

 

This site-specific data can be related to the STATSGO soils data (presented below) via the Map Unit and Soil Unit fields.

 

STATSGO

 

This data set is a digital general soil association map developed by the National Cooperative Soil Survey and consists of a broad based inventory of soils and non-soil areas that occur in a repeatable pattern on the landscape. The STATSGO soil maps are compiled by generalizing more detailed soil survey maps. The soil map units are linked to attributes in the Map Unit Interpretations Record relational database, which gives the proportional extent of the component soils and their properties in each map unit.

 

STATGSO was designed primarily for regional, multi-county, river basin, state, and multi-state resource planning and, as such, the large size of the polygons makes it suitable only for large areas. Another database, called SSURGO (still under development by the USDA), details soil polygons on the component level as opposed to the map unit level and would be more suitable to small coverages like the HJ Andrews sub-basin.

 

The STATSGO soils coverage for the State of Oregon was downloaded as a polygon shape file and was imported as a theme into ArcView.  The projection of the data was originally in the Albers Equal Area projection, so it had to be projected to the UTM-NAD 27 Zone 10 projection to match the other themes in ArcView.  The CRWR-Vector extension was used to project this theme.  With the STATSGO theme active, the steps followed included:

 

1.      Select Output Units of meters

2.      Select UTM-NAD 27 from the Category menu

3.      Select Zone 10 from the Type menu

 

A new polygon coverage of the STATSGO soils was created in the proper projection, and the polygon theme was then clipped using the ArcView Geoprocessing Wizard extension described below.

 

Additional Downloaded Data

 

Additional data downloaded from the HJ Andrews web site included:

 

§    The boundary of the HJ Andrews watershed, added as a polygon theme;

§    Detailed road maps of the sub-basin, added as a polygon theme;

§    50 ft. contours of the sub-basin, added as a polygon theme; and

§    Stream gauge locations, added as a point theme.

 

As with the rest of the data downloaded from the HJ Andrews web site, the data had to be imported into ArcView using the Import 71 feature.

 

Clipped Grids (Geoprocessing Wizard)

 

The ArcView extension Geoprocessing Wizard was used to clip the Roads and Contours polygons to match the boundary of the HJ Andrews sub-basin.  With the Boundary Theme active, the steps included:

 

1.      Select View/Geoprocessing Wizard

2.      Select Clip on theme based on another

3.      Select Boundary as Input Theme to Clip by

4.      Select Roads or Contours as Polygon Overlay Theme

 

A new polygon theme was then generated that fell entirely within the Boundary theme.  A three-dimensional representation of the entire HJ Andrews watershed with select themes activated is presented in Figure 2.3.

 

Figure 2.3  HJ Andrews Watershed with Select Themes Activated

This view was created with the 3-D Analyst ArcView extension.  The 3-D Analyst used the HJ Andrews DEM to create a triangular irregular network (TIN) to represent the topography.  A clipped RF3 file from the EPA Basins web site was overlayed on the TIN, along with the roads theme, to provide the user with reference points.  The red dots represent landslides that occurred naturally, while the yellow dots represent landslides that occurred in close proximity to roads.

 

Back to Table of Contents

 

 

SINMAP Implementation

 

 

SINMAP is a grid-based ArcView extension developed at Utah State University with the support of Forest Renewal British Columbia, in collaboration with Canadian Forest Products Ltd., Vancouver, B.C.  This program implements the computation and mapping of a slope stability index based upon geographic information, primarily digital elevation data.  As applicable to the HJ Andrews experimental forest, SINMAP was the logical tool for the prediction of the areas most susceptible to landslides because it could be populated with site-specific data (gathered over the last several years) to quickly identify regions where more detailed terrain stability assessments may be warranted.

 

Theory

 

There are many approaches to assessing slope stability and landslide hazards.  Field inspection has been the most widely used approach historically, but this is an arduous process that is time-consuming and expensive.  The projection of future instability patterns from documented landslide types and locations has also been used extensively, but this method may not account for site-specific environmental conditions in all cases.  The purpose of the SINMAP software is to provide an objective terrain stability mapping tool that can compliment the subjective terrain stability mapping methods currently being practiced in the field.

 

SINMAP relies heavily on the coupling of steady state topographic hydrologic models with the infinite plane slope stability model, and has its theoretical basis in the infinite plane slope stability model with wetness (pore pressures) obtained from a topographically based steady state model of hydrology.  SINMAP uses site-specific data, combined with past landslide history, to create a probabilistic model of the terrain most susceptible to instability.

 

It is important for the reader to note that a large part of the text of this section was taken directly from the SINMAP User’s Guide, 1998.  For a more in-depth discussion of the theory of the SINMAP model, the reader is referred to this document.

 

Slope Stability Model

 

The SINMAP methodology is based upon the infinite slope stability model (e.g., Hammond et al., 1992; Montgomery and Dietrich, 1994) that balances the destabilizing components of gravity and the restoring components of friction and cohesion on a failure plane parallel to the ground surface with edge effects neglected.  Soil moisture (specifically, pore pressure) is also taken into consideration in this model because it reduces the effective normal stress on the failure plane.  SINMAP populates the topographic variables of the slope stability model by automatically extracting elevation data from the DEM, calculating the specific catchment area (sub-basin) of each cell, and quantifying the corresponding material properties in the sub-basin on a cell-by-cell basis, such as soil strength and the effects of climatological factors.  The primary output of the SINMAP model is a stability index used to classify the terrain stability in each grid cell within the study area.

 

The following input parameters are recognized to vary in each sub-basin and are specified in SINMAP by the user as upper and lower boundaries on the ranges these values may take:

 

§    T/R

§    Cohesion

§    Angle of Internal Friction

§    Lower Wetness Line Percentage

 

The first parameter listed above is the ratio of transmissivity of the soil (m2/hr) to the effective steady-state lateral recharge rate of the groundwater in the sub-basin (m/hr), with a default range of 2000 to 3000 (m).  Transmissivity data is collected in the field and is specific to each soil type in the sub-basin of interest.  As such, it is difficult to quantitatively estimate specific values for both transmissivity and recharge and, thus, SINMAP uses a range of values to model the uncertainty of these values.

 

The second parameter is the cohesive properties of the soils of the sub-basin, with a default range of 0 to 0.25 (dimensionless).  This data is also collected in the field and, for the same reasons described above, is input as a range of values. 

 

The third parameter is the angle of internal friction (F), with a default range of 30 to 45 degrees.  Although the actual angle of internal friction for specific soils can only be determined in the field, F can be determined in general terms from Table 3.1, extracted from the Standard Handbook of Civil Engineering (McGraw-Hill, 1995).

 

Table 3.1  Angles of Internal Friction and Unit Weights of Soils

Type of Soil

Density or Consistency

Angle of Internal Friction, Phi, degrees

Unit Weight

(lb/ft3)

Coarse Sand or

Sand and Gravel

Compact

Loose

40

35

140

90

Medium Sand

Compact

Loose

40

30

130

90

Fine Silty Sand or

Sandy Silt

Compact

Loose

30

25

130

85

Uniform Silt

Compact

Loose

30

25

135

85

Clay-Silt

Soft to Medium

20

90-120

Silty Clay

Soft to Medium

15

90-120

Clay

Soft to Medium

0-10

90-120

 

The last parameter is the SA plot lower wetness line percentage.  This dimensionless value represents the boundary wetness between the low moisture and partially wet zones on the saturation map.  It is also the wetness of the lowest line on the SA plot.

 

Table 3.2 provides an example of the stability classes that are defined in terms of the Stability Index (SI) for this model.  The SI is the factor of safety that gives a measure of the magnitude of destabilizing factors required for terrain instability and is defined as the probability that a location is stable assuming uniform distributions of the parameters over the uncertainty ranges specified above. The SI generally ranges between 0 (most unstable) and 1.0 (least unstable).  However, where the most conservative set of parameters still result in stability, the stability index is defined as the factor of safety at this location under the most conservative set of parameters and may yield a value greater than 1.0.

 

Table 3.2  Stability Class Definitions

Condition

Class

Predicted State

Parameter Range

Possible Influence of Factor Not Modeled

SI > 1.5

1

Stable slope

Zone

Range cannot model instability

Significant destabilizing factors required for instability

1.5 > SI > 1.25

2

Moderately stable slope zone

Range cannot model instability

Moderate destabilizing factors required for instability

1.25 > SI > 1.0

3

Quasi-stable slope zone

Range cannot model instability

Minor destabilizing factors could lead to instability

1.0 > SI > 0.5

4

Lower threshold slope zone

Pessimistic half of range required for instability

Destabilizing factors are not required for instability

0.5 > SI > 0.0

5

Upper threshold slope zone

Optimistic half of range required for instability

Stabilizing factors may be responsible for stability

0.0 > SI

6

Defended slope zone

Range cannot model instability

Stabilizing factors are required for stability

 

The selection of breakpoints (1.5, 1.25, 1.0, 0.5 and 0.0) in Table 3.2 is subjective, requiring user judgment and interpretation in terms of the class definitions.  The terms ‘stable’, ‘moderately stable, and ‘quasi-stable’ are used to classify regions that, according to the model, should not fail with the most conservative parameters in the parameter ranges specified.  The terms ‘lower threshold’ and ‘upper threshold’ are used to characterize regions where, according to the parameter uncertainty ranges, the probability of instability is less than or greater than 50%, respectively.  The term ‘defended slope’ is used to characterize regions where, according to the model, the slope should be unstable for any parameters within the parameter ranges specified.  In general, if the SI is greater than 1.0, there is a probability that the terrain is unstable given the most conservative parameters specified in the user-defined ranges.

 

The general infinite slope stability model factor of safety (ratio of stabilizing to destabilizing forces) is given by (simplified for wet and dry density the same, from Hammond et al., 1992):

 

where:

 

 

Figure 3.1 presents a graphical representation of the parameters described above.

 

Figure 3.1  Infinite Slope Stability Model Schematic

 

The SINMAP model makes a few simplifications to the above model.  It interprets the soil thickness as specified perpendicular to the slope, rather than soil depth measured vertically.  Soil thickness, h (m) and depth are related as follows:

 

 

With this change, the factor of safety reduces to:

 

 

where:

 

 

This is the dimensionless form of the infinite slope stability model used in the SINMAP model.  This equation is convenient to use because cohesion (due to soil and root properties) is combined with the soil density and thickness into a dimensionless cohesion factor C.  This may be thought of as the ratio of the cohesive strength relative to the weight of the soil, or the relative contribution to slope stability of the cohesive forces.  This concept is illustrated in Figure 3.2.

 

Figure 3.2  Illustration of Dimensionless Cohesion Factor Concept

 

The second term in the new factor of safety equation quantifies the contribution to stability due to the internal friction of the soil (as quantified by the friction angle F, or friction coefficient tan F).  This is reduced as wetness increases due to increasing pore pressures and consequent reductions in the normal force carried by the soil matrix.  The sensitivity to this effect is controlled by the density ratio, r.

 

However, relative wetness, as defined above, can be further explained as detailed below.  Field observations have noted that the higher soil moisture or areas of surface saturation tend to occur in convergent hollow areas in the topography.  Similarly, it has also been reported that landslides most commonly originate in areas of topographic convergence.  For these reasons, the concept of specific catchment area ‘a’ can be used to determine the relative wetness of the soil at any location within a sub-basin (see SINMAP User’s Manual, 1998 for further explanation), and is defined as:

 

 

The relative wetness has an upper bound of 1, with any excess assumed to form overland flow.  This relative wetness defines the relative depth of the perched aquifer within the soil layer of interest.  The ratio R/T, which has units of m-1, quantifies the relative wetness in terms of assumed steady state recharge relative to the soil’s capacity for lateral drainage of water.  It is important to note that the quantity R is not a long-term average of recharge, but rather it is the effective recharge for a critical period of wet weather likely to trigger landslides.  The ratio R/T, which SINMAP treats as a single parameter, therefore combines both climate and hydrological factors.

 

Therefore, to define the stability index, the wetness index from above is incorporated into the dimensionless SINMAP factor of safety equation, which becomes:

 

 

The variables a and T are derived from the topography, with C, tan F, r, and R/T parameters specified by the user.  SINMAP treats the density ratio as essentially constant (with a value of 0.5), but allows uncertainty in the other three quantities through the specification of lower and upper bounds.

 

For areas where the minimum factor of safety is greater than 1, there is a probability of failure.  This is a spatial probability due to the uncertainty in C, tan F, and T.  This probability does have a temporal element in that R characterizes a wetness that may vary with time.

 

Practically, the SINMAP model works by computing slope and wetness at each grid point, assuming other parameters are constant (or have constant probability distributions) over large areas.  With the form of the new factor of safety equation, this amounts to implicitly assuming that the soil thickness (perpendicular to the slope) is constant.

 

 

DEMs

 

Grid DEMs were selected to represent topography in SINMAP primarily due to their simplicity and compatibility with ArcView Spatial Analyst grid routines, as well as the availability of data and prior experience with their use.  The grid processing routines consist of four main steps:

 

§    Pit filling corrections;

§    Computation of slopes and flow directions;

§    Computation of specific catchment area; and

§    Computation of the SINMAP stability index.

 

Pits in DEMs are defined as grid elements or sets of grid elements surrounded by higher terrain that, in terms of the DEM, do not drain to adjacent cells.  These are rare in natural topography and are generally assumed to be due to errors in the generation of the DEM.  They are eliminated in SINMAP by using the “flooding” approach, essentially raining the elevation of each pit grid cell within the DEM to the elevation of the lowest adjacent grid cell.   This approach is the same that is used in the CRWR-PrePro ArcView extension studies in this class.

 

Slopes and flow directions have traditionally been accomplished using the eight-direction pour point model (CRWR-PrePro uses the eight-direction pour point model).  In this method, water can flow from one cell to only one of the eight surrounding cells in the grid (to the lowest of the eight surrounding grid cells).  SINMAP uses the D-infinity method developed by Tarboton (1997).  In this method, the flow direction angle, measured counter-clockwise from east, is represented as a continuous quantity between 0 and 2? radians.  The specific angle is determined as the direction of the steepest downward slope on the eight triangular facets formed in a 3 x 3 grid cell window centered on the grid cell of interest as illustrated in Figure 3.3.

 

Figure 3.3  Flow Direction Defined as the Steepest Downward Slope

on Planar Triangular Facets on a Block-centered Grid

 

A block-centered representation is used with each elevation value taken to represent the elevation of the center of the corresponding grid cell.  Eight planar triangular facets are formed between each grid cell and its eight neighbors.  Each of these has a downslope vector which, when drawn outwards from the center, may be at an angle that lies within or outside the 45-degree angle range of the facet at the center point.  If the slope vector angle is within the facet angle, it represents the steepest flow direction on that facet.  If the slope vector angle is outside a facet, the steepest flow direction associated with that facet is taken along the steepest edge.  The slope and flow direction associated with the grid cell is taken as the magnitude and direction of the steepest downslope vector from all eight facets.  This is implemented using equations give by Tarboton (1997).

 

In the case where no slope vectors are positive (i.e., flat areas), the cell drains away from high ground towards low ground.  The procedure to determine flow direction will not be discussed here because these flat areas can be considered unconditionally stable.

 

Specific catchment areas are calculated using a recursive procedure that is an extension of the very efficient recursive algorithm for single directions (Mark, 1998).  The upslope area of each grid cell is taken as its own area (one) plus the area from upslope neighbors that have some fraction draining to it.  The flow from each cell all drains to one neighbor if the angle falls along a cardinal or diagonal direction, or is on the angle falling between the direct angle to two adjacent neighbors.  In the latter case, the flow is proportioned between these two neighbor cells according to how close the flow direction angle is the to direct angle to those cells.  Specific catchment area, a, is then upslope area per unit contour length, taken in this case as the number of cells times grid cell size.  This assumes that grid cell size is the effective contour length, and does not distinguish any difference in contour length dependent on the flow direction.

 

Computation of SINMAP stability index is simply a grid cell by grid cell evaluation of the equations presented in Section 3.1.1.

 

Data Structure

 

The SINMAP model utilizes a library of computer routines than can be called to perform computational tasks including calculating stability index and degree of saturation.  Additionally, library routines are also available to perform many basic tasks of manipulating DEM grid data including pit filling, slope calculation, flow direction calculation, and drainage area calculation.  SINMAP utilizes ArcView GIS software to carry out the tasks listed above.  ArcView version 3.0 (or later) is required to run the SINMAP modeling extension, as is the Spatial Analyst extension, which is an add-on to the standard ArcView GIS software package.  The software must be run on Windows 95 or Windows NT operating systems.

 

The SINMAP extension is a customized extension to ArcView that provides links between ArcView and the library or routines in the SINMAP dynamic link library.  The Sinmap.avx file must be copied to the ESRI/av_gis30/ArcView/Ext32 folder prior to using ArcView.  Similarly, the Sinmap.dll file must be copied to the ESRI/av_gis30/ArcView/Bin32 folder prior to starting ArcView.

 

The final output of most SINMAP studies will be maps that can be used to define areas of potential terrain instability.  Most tasks are conducted in SINMAP’s DEM map window.  Upon completion of the SINMAP routines, nine GIS themes will be created in the DEM map window.

 

In addition to the geographic display of study data in the DEM map window, SINMAP also generates a slope-area chart of study area data to aid in data interpretation and parameter calibration.  The SA Plot window plots four types of information:

 

§    Normal cell data: Specific catchment area versus slope is plotted for a sampling of grid cell points across the study area that does not have landslides.

§    Landslide cell data:  Landslides are plotted based upon the slope and specific catchment area values of the cell in which each landslide point lies.

§    Stability Index region lines:  These 5 lines provide boundaries for regions within slope-specific catchment area that have similar potential for landslides.

§    Saturation region lines:  These 3 lines provide boundaries for regions within slope-specific catchment areas that have similar wetness potential.

 

The goal of model calibration is to adjust the stability index region lines and the saturation region lines such that the majority of the known landslides in the area fall in those areas most susceptible to terrain instability (i.e., areas where the stability index is greater than 1.0).

 

Back to Table of Contents

 

Implementation

 

The implementation of the SINMAP model was contingent on an accurate representation of the terrain, landslide locations and types, and soil parameters within the HJ Andrews watershed.  The development of this data was presented in Section 2.0.  The following sub-sections describe the actual implementation of the SINMAP model at the HJ Andrews watershed.

 

Establishing Model Parameters

 

The first step in determining a terrain instability map for the HJ Andrews watershed was defining the model parameters.  The Set Defaults menu was selected and the following values were available for editing:

 

§    Gravity constant: 9.81 m/s2

§    Soil Density: 2000 kg/m3

§    Water Density: 1000 kg/m3

§    Number of points in SA Plot: 2000

 

These values were acceptable and were not edited.

 

The Set Calibration Parameters menu was then selected and the following four parameters were available for editing:

 

§    T/R ratio: 2000-3000 m

§    Dimensionless cohesion: 0.0-0.25

§    Angle of internal friction: 30-45 degrees

§    Lower wetness line percentage: 10%

 

Discussions with HJ Andrews personnel did not yield site-specific data for transmissivity or lateral recharge rate, so the default range of 2000 – 3000 meters was used.  HJ Andrews personnel did not have data on the cohesive properties of the soil either, so the default values were again used.

 

Data was available for the angle of internal friction, so several calibration region themes were developed based on the different soil types in the region.  This process is described in Section 3.2.3 below.

 

The lower wetness line percentage value of 10% was used in this study.

 

Back to Table of Contents

 

Importing DEM

 

The HJ Andrews DEM was selected for SINMAP analysis using the Select DEM Grid for Analysis command from the SINMAP menu.  The clipped grid (representing the boundary of the HJ Andrews sub-basin) was not used as the DEM for analysis due to the need to have a buffer around the sub-basin to minimize the edge effects during SINMAP processing.  Instead, the entire projected DEM was used.

 

Creating Calibration Region Themes

 

Unfortunately, the site-specific soils data supplied by HJ Andrews personnel did not have the necessary attributes to impact the SINMAP modeling procedure.  Instead, STATSGO soils data was used to create four calibration region themes.

 

The calibration region themes were developed to further narrow the scope of uncertainty in the four calibration parameters listed in Section 3.2.1.  STATSGO data was clipped to match the boundary of the HJ Andrews watershed, and the map unit ID was used to join the Clipped STATSGO attribute table to the layer.dbf table, using the following commands:

 

1.      Under the Table menu in the Project window, a new table was opened (layer.dbf).

2.      The Clipped STATSGO attribute table was selected.

3.      The Muid field was highlighted.

4.      The layer.dbf table was then selected.

5.      The Muid field was highlighted in this table.

6.      Under the Table menu, the Join command was used to join the fields of the layer.dbf table to the Clipped STATSGO attribute table.

 

The layer.dbf table contained a field named Unified, which listed the Unified Soil Classification for the soils in each respective map unit (Figure 3.4).  By comparing the Unified Soil Classification of each map unit within the HJ Andrews watershed to Table 3.1, an educated estimate could be made of the range of the angle of internal friction of the soils in each map unit.

 

Figure 3.4  Clipped STATSGO Attribute Table with Layer.dbf Attributes Attached

 

The calibration region themes were then selected using the following commands:

 

1.      Under the SINMAP menu, the Create Multi-Region Calibration Theme command was selected.

2.      The Clipped STATSGO polygon coverage (that included the four calibration region themes) was selected.

 

At this point, four calibration region themes were defined, each based on the unique range of the angle of internal friction of the soils in that area (Figure 3.5).

 

Figure 3.5  Four Calibration Region Themes

 

The fourth calibration region, found in the extreme southwestern corner of the watershed, was extremely small and did not factor into the calibration of the model since no landslides occurred within the limits of the region.  Similarly, HJ Andrews personnel have not documented any known landslides in the area represented in purple in Figure 3.5, so this region was not included in the calibration of the model either.

 

Back to Table of Contents

 

Adding Landslides

 

The landslide point theme was added to the DEM: Dem view window by selecting Select Landslide Point Theme from the SINMAP menu.

 

Preparatory Grid Processing

 

SINMAP was then used to develop the following grids based on the data input above:

 

§    Pit-Filled DEM

§    Flow Direction Grid

§    Slope Grid

§    Contributing Area Grid

 

The flow direction grid is presented in Figure 3.6, and the Contributing Area Grid is presented in Figure 3.7.

 

                      Figure 3.6  Flow Direction Grid                 Figure 3.7  Contributing Area Grid

 

The grids developed above were derived solely from the DEM grid and required no other parameters for their construction.  As such, these grids form the basis of the stability analysis and are not changed even if the calibration parameters are adjusted.

 

Back to Table of Contents

 

Stability Analysis

 

All data necessary to develop the saturation grid and the stability index grid was now available.  Under the Stability Analysis menu of the SINMAP menu, Compute all steps was selected.  SINMAP then calculated the two grids for the Calibration Region themes defined above.  The Stability Index Grid is presented in Figure 3.8, and the initial SA Plot is presented in Figure 3.9.

 

Figure 3.8  Initial Stability Index Grid                         Figure 3.9  Initial SA Plot Prior to Calibration

Prior to Calibration       

 

Calibration Methods

 

At this point, calibration of the results was desired based on the attributes of the landslide point coverage and the calibration region themes defined previously.  Although the calibration parameters for each them can be adjusted in the DEM view window, calibration of the model was more effectively conducted in the SA Plot window.

 

To calibrate the model effectively, each calibration region theme was modified individually.  With the angle of internal friction specified for each theme, only the T/R ratio and dimensionless cohesion parameters needed to be adjusted.  As stated previously, the goal of calibration is to adjust the stability index and saturation region lines on the SA Plot to maximize the number of natural landslides occurring the regions where the SI is greater than 1.0 (specifically, in the ‘lower-threshold slope zone’, the ‘upper threshold slope zone’, and the ‘defended slope zone’).

 

A representation of the calibrated Map Unit OR64 landslides is depicted in Figure 3.10.

 

Figure 3.10  Calibrated Map Unit OR64 SA Plot

 

Upon completion of this step, viewing the statistics of each calibration region theme can check calibration of the model.  It is important to maximize the landslide density in the potentially unstable zones listed above, and the statistics menu allows the user to determine the applicable landslide densities.  To view the statistical summary window, the user right-clicks on the mouse in the SA Plot window and selects Statistics.  This window also provides information for each calibration region theme on:

 

§    The area in square kilometers;

§    The percentage of area in each stability zone;

§    The number of landslides;

§    The percentage of landslides in each stability zone; and

§    The landslide density in # per square kilometer.

 

Figure 3.11 presents the statistical summary window for the calibrated map unit OR64 calibration region theme.

 

Figure 3.11  Statistical Summary of the Map Unit OR64 Calibration Region Theme

 

Back to Table of Contents

 

 

 

Results

 

 

The results of the SINMAP terrain stability model for the HJ Andrews site is presented in this section.  Overall, the model performed well, but additional site-specific data would be beneficial in populating the calibration parameters. 

 

Comparison to HJ Andrews Data

 

Figure 4.1 presents the final output of the SINMAP model for the HJ Andrews watershed.  As can be seen, the locations of landslides match the modeled terrain instability in most cases.

 

Figure 4.1  Final Output of SINMAP Model for HJ Andrews Watershed

 

The white squares in Figure 4.1 present the locations of known landslides in the HJ Andrews watershed.  The color scheme for the figure is as follows:

 

§    Blue: Stable (SI > 1.5)

§    Aqua: Moderately Stable (1.5 > SI > 1.25)

§    Tan:  Quasi-stable (1.25 > SI > 1.0)

§    Pink: Lower Threshold (1.0 > SI > 0.5)

§    Red: Upper Threshold (0.5 > SI > 0.0)

§    Brown: Defended (0.0 > SI)

 

The areas that are the most stable can be found in the flattest regions of the watershed, namely along the creek bottom.  Limited landsliding has occurred in these areas, but this can be attributable to shear stress on the banks in the form of erosion.  The areas of greatest instability also match well with the steepest terrain.  Overall, the model does well, placing 90.1% of the landslides in the OR64 calibration region theme in the zones with a SI less than 1.0, and placing 46.9% of the landslides on the OR78 calibration region theme in the same zones.  The outlying data points are most often landslides located near roads, lending further credence to the model’s output.

 

Comparison to USGS Map

 

The United States Geological Survey has produced a large-scale map of potentially unstable terrain in the United States that may be susceptible to landslides (Figure 4.2). 

 

Figure 4.2  USGS Landslide Overview Map of the United States

 

The USGS methodology is to differentiate those areas known to have experienced landslides from areas that are merely susceptible to terrain instability and may not have experienced a landslide to date.  The map units were classified into three incidence categories, according to the percentage of the area involved in landslide processes:

 

Area involved in Landsliding

Incidence

Greater than 15%

High

From 1.5% to 15%

Medium

Less than 1.5%

Low

 

This rationale is similar to the rationale for calibration of the SINMAP model.  The statistical summary window that can be generated from the SA Plot provides the percentage of the watershed of interest that can be considered susceptible to landslides, as well as the percentage of the slides that have occurred in each area.

 

A comparison of the SINMAP model output to the USGS map is made here to show the increased resolution available in the SINMAP model.

 

Figure 4.3  USGS Landslide Overview Map Compared to the HJ Andrews Watershed

 

It is evident from Figure 4.3 that the SINMAP output presented in Figure 4.1 is a much more detailed representation of the local terrain of the HJ Andrews watershed.  Although undertaking the mapping of the entire United States with a model such as SINMAP is currently limited by computer processing speeds and memory, perhaps in the future a more detailed analysis of the terrain of the United States will be possible.

 

Back to Table of Contents

 

 

Conclusions

 

 

The report has shown that the use of GIS tools to model terrain instability can be effective in predicting potentially unstable terrain.  As development continues to encroach upon the natural areas of the United States, models such as SINMAP will become invaluable in educating developers, land owners, logging companies, government entities, and environmentalists alike as to the susceptibility of the terrain to landslides and other similar phenomena.

 

The rationale for developing digital terrain data was presented and provided an accurate representation of actual field conditions. The data used is available to the public over the World Wide Web, along with the SINMAP model, so this procedure can be used without much difficulty.

 

As more specific soils data becomes available (SSURGO), a more complete understanding of the effects of groundwater and soil-pore moisture on the terrain instability will be possible.  In particular, existing STATSGO (and in the future, SSURGO) soils data contains attributes that are directly applicable to use in this model.  The following soil data elements may be of use in the future in determining terrain instability using SINMAP:

 

§    Available Water Capacity

§    Bulk Density

§    Clay

§    Soil Drainage Class

§    Hydrologic Group

§    Layer Depth

§    Liquid Limit

§    Percent Passing Various Sieve Sizes

§    Depth to Cemented Pan

§    Particle Size

§    Permeability Rate

§    Plasticity Index

§    Ponding Depth

§    Depth to Bedrock

§    Shrink-Swell Potential

§    Soil Slope

§    Total Subsidence

§    Surface Soil Texture

§    Unified Soil Classification (used in this analysis)

§    Water Table Depth

§    Seasonal Water Table Existence and Depth

 

The modification of the SINMAP model to make use of the above parameters would be a tremendous step in ensuring that integration of natural areas with development occurs in the best possible manner for all involved.

 

Back to Table of Contents

 

 

References

 

 

97-289 - Digital Compilation of “Landslide Overview Map of the Conterminous United States” By Dorothy H. Radbruch-Hall, roger B. Colton, William e. Davies, Ivo Lucchitta, Betty A. Skipp, and David J. Varnes, 1982; USGS Open-File Report 97-289 by Godt, Jonathan W., 1997.

 

Beven, K., R. Lamb, P. Quinn, R. Romanowicz and J. Freer, (1995), "TOPMODEL," Chapter 18 in Computer Models of Watershed Hydrology, Edited by V. P. Singh, Water Resources Publications, Highlands Ranch, Colorado, p.627-668.

 

Maidment, David R. Handbook of Hydrology. New York: McGraw-Hill, 1992.

 

Merrick, Frederick S., M. K. Loftin, and J. T. Ricketts.  Standard Handbook for Civil Engineers, Fourth Edition.  New York: McGraw-Hill, 1996.

 

Pack, R. T., D. G. Tarboton and C. N. Goodwin, (1998), “SINMAP User’s Manual”, 1998 (available online at http://www.engineering.usu.edu/cee/faculty/dtarb/sinmap.pdf).

 

Pack, R. T., D. G. Tarboton and C. N. Goodwin, (1998), "The SINMAP Approach to Terrain Stability Mapping," 8th Congress of the International Association of Engineering Geology, Vancouver, British Columbia, Canada 21-25 September 1998. (available online at http://www.engineering.usu.edu/dtarb)

 

Tarboton, D. G., (1997), "A New Method for the Determination of Flow Directions and Contributing Areas in Grid Digital Elevation Models," Water Resources Research, 33(2): 309-319. (available online at http://www.engineering.usu.edu/dtarb)

 

Veismann, Warren Jr., G.L. Lewis, and J.W. Knapp.  Introduction to Hydrology, Third Edition.  New York:  HarperCollins, 1989.

 

HJ Andrews Experiment Forest – Long Term Ecological Research Web site: http://sequoia.fsl.orst.edu/lter/

 

USDA - Natural Resources Conservation Service Web site: http://www.ftw.nrcs.usda.gov

 

US EPA Web site: http://www.epa.gov

 

USGS National Landslide Information Center:

http://landslides.usgs.gov/html_files/nlicsun.html

 

USGS Web site: http://www.usgs.gov

 

Back to Table of Contents