A CASE STUDY OF SHALLOW LANDSLIDE OCCURRENCE AND MAGNITUDEFREQUENCY DUE TO RAINFALL EVENTS AFTER EARTHQUAKES IN NORTHWESTERN CALIFORNIA by Cheryl A. Hayhurst A Thesis Presented to The Faculty of Humboldt State University In Partial Fulfillment Of the Requirements for the Degree Masters of Science In Natural Resources: Watershed Management December, 2006 A CASE STUDY OF SHALLOW LANDSLIDE OCCURRENCE AND MAGNITUDEFREQUENCY DUE TO RAINFALL EVENTS AFTER EARTHQUAKES IN NORTHWESTERN CALIFORNIA By Cheryl A. Hayhurst Approved by the Master’s Thesis Committee: ________________________________________________________________________ E. George Robison, Major Professor Date ________________________________________________________________________ William Bigg, Committee Member Date ________________________________________________________________________ Mark Hemphill-Haley, Committee Member Date ________________________________________________________________________ Coordinator, Natural Resources Graduate Program Date ________________________________________________________________________ Natural Resources Graduate Program Number ________________________________________________________________________ Donna E. Schafer, Dean for Research and Graduate Studies Date ABSTRACT A CASE STUDY OF SHALLOW LANDSLIDE OCCURRENCE AND MAGNITUDEFREQUENCY DUE TO RAINFALL EVENTS AFTER EARTHQUAKES IN NORTHWESTERN CALIFORNIA Cheryl A. Hayhurst This project is a case study to examine trends in shallow, rapid landslide occurrence and magnitude-frequency in Humboldt County, California. It attempts to identify a trend of increasing landslide occurrence and magnitude-frequency correlated to large seismic events (magnitude [M] six and greater) followed by significant rain events yielding high antecedent soil moisture conditions with Antecedent Precipitation Index values greater than 10 centimeters. Shallow landslides were observed through aerial photographs for three earthquakes that occurred in 1954, 1980, and 1992. For each earthquake, non earthquake “control”, earthquake “control”, and earthquake/rainfall event related “treatment” study years were selected for observation. Earthquake event selection was based on aerial photograph coverage, precipitation events producing an Antecedent Precipitation Index value greater than 10 centimeters, and earthquakes magnitude six or greater. Recently harvested areas were selected in order to provide uniformity of land management practices and also to allow for the maximum observance of landslides, which are often not seen under a full canopy. The occurrence and magnitude-frequency rates of shallow, rapid landslides were found to increase after an earthquake (magnitude six or greater) followed by a precipitation event with an Antecedent Precipitation Index value greater than 10 iii centimeters than when compared to landslide occurrence and magnitude-frequency rates related to high precipitation events only. iv ACKNOWLEDGEMENTS Funding for this project was provided by Scotia Pacific, L.L.C. I would like to express sincere gratitude to my committee members Dr. Bill Bigg, Dr. Mark HemphillHaley, and Dr. E. George Robison for all of their time and expertise. Special thanks to John Oswald for the original project idea along with the ScoPac Geology Department for their time, advice, and the experience of a lifetime. I would also like to thank my husband, Nick, for providing endless support throughout this process. v TABLE OF CONTENTS Page ABSTRACT....................................................................................................................... iii ACKNOWLEDGEMENTS................................................................................................ v TABLE OF CONTENTS................................................................................................... vi LIST OF TABLES............................................................................................................ vii LIST OF FIGURES ......................................................................................................... viii LIST OF APPENDICES.................................................................................................... ix INTRODUCTION .............................................................................................................. 1 STUDY AREA ................................................................................................................... 6 MATERIALS AND METHODS...................................................................................... 11 Antecedent Precipitation Index Method ....................................................................... 11 Seismic Investigation .................................................................................................... 17 Earthquake Event Selection .......................................................................................... 17 Landslide Inventory ...................................................................................................... 22 Landslide Magnitude-Frequency Analysis ................................................................... 23 RESULTS ......................................................................................................................... 25 DISCUSSION ................................................................................................................... 37 REFERENCES ................................................................................................................. 42 vi LIST OF TABLES Table Page 1 Summary of size and location of individual study areas for each earthquake event, Humboldt County, California.. ................................................................................9 2 Antecedent Precipitation Index values greater than 10 centimeters for the period of record between December 1, 1940 and January 1, 2000. ..................................14 3 Summary of earthquake events with a 50% landslide exceedence probability radius determined by applying the model Wilson and Keefer developed in 1985 to determine the aerial extent of landsliding as it relates to earthquake magnitude. .19 4 Sum of landslide occurrence and area for each stage (control and study year) for each earthquake event, Humboldt County, California...........................................26 5 Summary of percentage changes in landslide counts and area between the control year and the study year for each earthquake event. ...............................................28 6 Summary of landslide occurrence and area by stage within the individual study areas for each earthquake event. ............................................................................30 7 Summary of percentage changes in landslide occurrence and area for the individual study areas between control and study years for each earthquake event.31 vii LIST OF FIGURES Figure Page 1 Location of fourteen study sites within Pacific Lumber Company’s aerial photograph coverage area in Humboldt County, California... .................................7 2 Graph showing the relationship between earthquake magnitude and the maximum distance of disrupted slides from the earthquake epicenter for 2% (P=2), 50% (P=0), and 98% (P=2) landslide exceedence probabilities (adapted from Wilson and Keefer 1985)....................................................................................................18 3 Aerial extent radius of 50 percent landslide exceedence probability in kilometers (Table 4) for each earthquake based on earthquake magnitude, Humboldt County, California. Aerial extent radius determined by application of the method defined by Wilson and Keefer (1985).................................................................................20 4 Landslide area-frequency distributions for each control and study year: 1954, 1980, and 1992 data sets. A power law trend line is drawn through the study years. . ...................................................................................................................34 5 Landslide area-frequency distribution for the 1980 earthquake event with a power law trend line placed through the most robust portion of the data from the study year (1984). ............................................................................................................36 viii LIST OF APPENDICES Appendix A Page Calculated Antecedent Precipitation Index values (in inches) during the period of record from December 1940 through December 1999 in five year intervals. .......47 ix INTRODUCTION Shallow rapid landslides are a significant concern in terms of public safety and infrastructure and as a source of potential water pollution. Shallow landslide initiation is strongly related to precipitation with saturated soil conditions and earthquakes. What is not well understood is the relative effect of combined recent earthquakes and saturated soil conditions in initiating landslides, especially shallow rapid landslides. This case study evaluates the potential change in occurrence and area-frequency distribution of shallow, rapid landslides due to periodic large environmental triggers such as rainfall and earthquakes, specifically the combination of the two. For this case study, I created an inventory of shallow, rapid landslides in fourteen study areas using aerial photographs of various vintages. The fourteen study areas had been recently harvested and were observed through a time period bracketing three earthquakes in the years 1954 (magnitude 6.5), 1980 (magnitude 7.2), and 1992 (magnitude 7.1). Landslides were observed in association with the following conditions: 1) After a rain event that occurred prior to the earthquake (in order to provide a control for the rain events); 2) After the earthquake (in order to provide a control for the earthquake); and 3) After a rain event that occurred after the earthquake. The hypothesis tested in this case study is that the occurrence and magnitude-frequency distribution of shallow, rapid landslides will increase for a precipitation event that is 1 2 preceded by a relatively large magnitude earthquake (magnitude six or greater) in comparison to the control years. Landslides are the common term indicating the movement of soil or bedrock down slope. Landslides can include slow processes such as creep or fast processes as in the case of debris flows. World-wide, fast moving landslides are the cause of loss of life and property damage and, as a result, are often studied for the purpose of creating hazard maps that try to estimate the probability of the occurrence of landslides. Aside from the large and devastating landslides that do cause damage and harm, they are also important in terms of water quality. Landslides, especially debris slides and debris flows, can enter a stream channel or river and cause excess sedimentation that persists over long periods of time. This excess sediment can diminish water quality for beneficial uses such as drinking water supply and aquatic habitat. Landslides occur in northwestern California, possibly due to poorly consolidated sedimentary bedrock, steep topography, ground shaking due to earthquakes, large amounts of annual rainfall, or some combination thereof. Many northwestern California streams and rivers, including the watersheds evaluated in this study, are listed on the Environmental Protection Agency’s (USEPA) Clean Water Act Section 303(d) List of Water Quality Limited Segment for Sedimentation/Siltation (California State Water Resources Control Board 2002). Total Maximum Daily Loads, established by the Clean Water Act in Section 303, are calculations of the maximum amount of a particular 3 pollutant that can be received by a water body and still meet water quality standards set by States, Territories, and Tribes for particular beneficial uses for that water body. Total Maximum Daily Load calculations contain background values for the specific pollutants and once developed, a regulatory agency may be charged with enforcement of those Total Maximum Daily Loads for land owners within the watersheds of the impaired water bodies (California State Water Resources Control Board 2002). Sediment Total Maximum Daily Loads can be important to land managers conducting activities on their land such as timber harvesting or cattle ranching which can cause the de-stabilization of soils or bedrock and can lead to landslides that may impact streams and rivers. Along with Total Maximum Daily Loads, sediment budgets are often created for watersheds in order to quantify the rates of sediment production, transport, and discharge of sediment. Landslides are an important sediment transport mechanism in watersheds and long term study of their magnitude and frequency rates must be conducted to create a sediment budget (Dietrich et al. 1982, Lehre 1982, Reid and Dunne 1996). Long term studies are necessary to account for typical watershed conditions and also allow for the capture of rare and extreme events that may cause an increase in the magnitude and frequency of landslides such as large rain events and earthquakes. Rainfall and earthquakes are two widely studied natural processes that trigger landslides and both processes occur in northwestern California. Rainfall-induced landslides have been widely studied. They commonly begin due to increased pore 4 pressure in saturated ground conditions (Ziemer 1984, Anderson and Sitar 1995, Crozier 1999, Dai and Lee 2001, Casadel et al. 2003, Jakob and Weatherly 2003, Coe et al. 2004, Dhakal and Sidle 2004, Onda et al. 2004). Fedora (1987) developed an Antecedent Precipitation Index that functions under the assumption that the effect of a given precipitation event on soil saturation will decay through time. Ziemer and Albright (1987) also developed an Antecedent Precipitation equation for predicting peak flows in subsurface soil pipes. The Antecedent Precipitation Index method is useful in determining the antecedent soil moisture conditions that exist in the study region from previous storms which can be a better indicator of landslide potential than looking at the intensity and duration of individual rain events. In northwestern California, similar intensity rainstorms will have a different effect if occurring at the end of the summer season when it has not rained for some time and the soil is dry versus an occurrence in the winter after a series of rain events when soils are already saturated. The Antecedent Precipitation Index method will also ensure that the precipitation events used in the study have a similar effect on soil conditions. Earthquake-induced landslides have been the subject of recent studies (Wilson and Keefer 1985, Pearce and Watson 1986, Dadson et al. 2004). Earthquakes trigger landslides when ground motions reach the critical acceleration, which is the minimum acceleration required to overcome a slope’s resistance to sliding (Wilson and Keefer 1985). Wilson and Keefer (1985) developed a method for estimating the aerial extent of earthquake-induced landslides based on earthquake magnitude. The model, developed by 5 Wilson and Keefer (1985), is an empirical relation for the severity of seismic shaking as a function of earthquake magnitude and the distance from the seismic source, producing a rating curve for earthquake magnitude and distance from the epicenter. I employed this technique for the current study as a tool to refine specific study sites based on the probability that landsliding that might occur in a particular area as the result of an earthquake event. Northwestern California provides an ideal location for this study because the area is seismically active, receives a lot of rainfall, and has steep terrain. However, there are several limitations. The first limitation is the lack of aerial photograph coverage. Coverage is not available for all years, therefore, a true landslide frequency cannot be calculated. Additionally, small landslides may not be discernable in aerial photographs and can under represent the occurrence of smaller landslides. This study is focuses on larger and less frequent natural events. As a result, there are not many events represented. Also, rainfall data were obtained from only one rain gauge located within the study region. These data were applied uniformly to the entire region. Rain does not fall with uniform amount and intensity over an entire watershed so the precipitation data can only be considered approximate for the conditions within the study area. This study assumes the landslides observed occurred in colluvium and were not bedrock failures. I also assumed that vegetation in the study areas consisted of redwood (Sequoia sempervirens) and Douglas-fir (Pseudotsuga menziesii) which can provide implications for the effect of root strength. STUDY AREA This study was conducted in Humboldt County, California, in forested lands owned by Scotia Pacific, LLC (Figure 1). The region consists of portions of Freshwater Creek, Elk River, Van Duzen River, Yager Creek, and lower Eel River Watersheds. These watersheds lie on the western slope of the California Coast Range and typically maintain a maritime climate and average annual precipitation of approximately 124 centimeters (Western Regional Climate Center 2006) Within the study area, a subset of fourteen smaller study sites was selected based on aerial photograph availability and timber harvest activity discernable from aerial photographs (Figure 1). The study areas are former timber harvest sites. Recently harvested areas were selected to provide uniform land management characteristics and because the removal of the canopy allowed for observation of landslides that otherwise might not have been detected under a full canopy. Robison et al. (1999) determined, during a landslide inventory in Oregon, that aerial photo observation of landslides is higher in areas recently harvested (0-9 years old) than mature forests (greater than 100 years old). In their study, 50 percent of ground-based measured landslides were detected in recently harvested areas compared to only five percent in mature forests. In addition to uniform land management and increased aerial photograph observance, using recently harvested areas provides similar starting conditions for the study sites. Recently harvested areas also have a decreased likelihood of further ground disturbance due to return of ground-based 6 7 Figure 1. Location of fourteen study sites within Pacific Lumber Company’s aerial photograph coverage area in Humboldt County, California. 8 equipment within the timeframe of this study. Table 1 summarizes the fourteen study sites. The fourteen study sites occur in areas dominated by redwood and secondarily by Douglas-fir. The geology underlying the study sites consist of the Franciscan Complex (including the Coastal terrane and the Yager terrane) and the Wildcat Group. The Coastal belt is divided into structural terranes separated by low to moderately dipping, fault zones (McLaughlin et al. 2000). The Coastal terrane (Paleocene to Late Eocene) is highly disrupted by fracturing, shearing, and folding and consists of sandstone, mudstone, and conglomerate with sandstone-rich rocks occurring in the eastern portion of the terrane and mélange in western exposures (Blake et al. 1988). The Yager terrane (Paleocene to Late Eocene) of the Franciscan Complex is lithologically, structurally, and chronologically more homogeneous than the Coastal terrane and consists of well-bedded, moderately to slightly sheared, and highly folded mudstone and sandstone (Blake et al. 1988). The Yager terrane is also described as massive indurated sandstone with interbedded sandstone-conglomerate, siltstone and conglomerates and is typically fine grained, well bedded, and highly sheared in places (Kelsey and Allwardt 1987, Kilbourne 1985a, b, Spittler 1983a). The Wildcat Group is Miocene to Pleistocene in age and consists of primarily moderately to poorly indurated, folded, massive to poorly bedded marine sedimentary rocks including sandstone, siltstone, mudstone, shale and conglomerate (Kelsey and Allwardt 1987). The Wildcat Group is broken into five members. Three of the members of the Wildcat Group dominate the bedrock of the fourteen study areas. 9 Table 1. Summary of size and location of individual study areas for each earthquake event, Humboldt County, California. Earthquake Event Study Area 1954 Lake Creek 1 1980 1992 Area (Square Kilometers) 0.3 United States Geological Survey 7.5-Minute Quadrangle Map McWhinney Creek Lake Creek 2 0.9 McWhinney Creek Root Creek 1.0 Redcrest S. F. Elk 2.6 McWhinney Creek Yager Creek 2.3 Hydesville and Owl Creek Eel River 12.6 Myers Flat and Weott Hely Creek 9.7 Owl Creek and Redcrest Root Creek 7.0 Redcrest Sammy Creek 3.3 Scotia and Redcrest Bridge Creek 0.8 Redcrest Eel River 1.2 Redcrest Little Freshwater Creek 2.3 McWhinney Creek Shively Creek 1.3 Redcrest Tank Gulch 0.5 Scotia 10 The three members include the Carlotta Formation, the Rio Dell Formation, and Scotia Bluffs Formation. The Carlotta Formation is a non-marine conglomerate, sandstone, and claystone of Middle to Late Pleistocene age that is partially indurated and mildly folded (Kilbourne 1985a, b). The Rio Dell Formation, Pliocene to Pleistocene, is a compact, massive mudstone that is partially indurated and folded and has alternating sandstone and mudstone beds (Kilbourne 1985a, b). The Scotia Bluffs sandstone is a shallow marine, massive, very compact, fine grained sandstone that is Pliocene to Pleistocene in age (Kilbourne 1985a, b). In many places within the study areas, previous workers were unable to differentiate members of the Wildcat Group and thus these rocks are mapped as Undifferentiated Wildcat Group. This undivided geologic unit possesses characteristics of all of the members of the Wildcat Group. MATERIALS AND METHODS I used five techniques to refine the study area, select precipitation and earthquake events, and for analysis. The techniques include an analysis of antecedent soil moisture conditions using Fedora’s Antecedent Precipitation Index (Fedora 1987), the Wilson and Keefer method for predicting the aerial extent of landsliding (Wilson and Keefer 1985), aerial photographic landslide inventory, earthquake event selection, and a landslide magnitude-frequency analysis. The Antecedent Precipitation Index (Fedora 1987) and Wilson and Keefer (1985) methods are primarily used to provide temporal and spatial constraints for the study by determining which precipitation and earthquake events to investigate with the aerial photographs and where landsliding was likely to occur for a given earthquake event. Antecedent Precipitation Index Method Fedora’s (1987) Antecedent Precipitation Index equation was chosen for use in this study because the recession coefficient could be calculated. The calculation for the recession coefficient is also dependent on watershed size. Fedora (1987) provided two recession coefficient equations, one for large watersheds and one for small watersheds. The equation for small watersheds is used for this study. Fedora’s modified equation for determining the Antecedent Precipitation Index (Fedora 1987), allows for the use of any time interval of precipitation observations and is given as: 11 12 APIt = API(t – t) * C(a) +Pt APIt = Antecedent Precipitation Index at time t (inches) t = Time interval of precipitation observations (hours) C(a) = Recession coefficient (dimensionless) Pt = Precipitation volume during one t ending at time t (inches) The recession coefficient is determined through the following equation: C(a) = C(b)( t(a)/ t(b)) C(a) = Recession coefficient based on time interval t(a) C(b) = Recession coefficient based on time interval t(b) Determined from C = 0.925 +7.93E(-3*Ln(a)); a = watershed area (square miles) t(a) = Time interval of precipitation observations t(b) = Time interval used to derive recession coefficient C(b) For this study, daily Antecedent Precipitation Index values were produced using daily precipitation values recorded by a rain gage located in Scotia, Humboldt County, California. The rain gage (Coop ID # 048045) is part of the National Weather Service’s Cooperative Station Network and lies at 40.5 meters above sea level (National Climate Data Center [NCDC] 2004). The daily precipitation data was taken from the U.S. Department of Commerce National Climatic Data Center and included sixty four years of data from December 1940 through December 2003 (National Climate Data Center 2004). 13 The recession coefficient value (C) to use in the Antecedent Precipitation Index equation was determined to be 0.897961 by calculating an average watershed area for zero order basins within the broad study region. The average area (0.03305 square miles or 0.0856 square kilometers) for the zero order basins was determined by obtaining the areas of one hundred zero order basins randomly selected within the study region. Zeroorder basin areas, or colluvial hollows, were used because they tend to be the origination areas for shallow, rapid landslides (Dietrich et al. 1982, Lehre 1982, Swanson et al. 1987, Benda and Dunne 1997, and Montgomery et al. 2000). With the recession coefficient (C) calculated, the modified Antecedent Precipitation Index calculation was applied to the daily precipitation values to produce daily Antecedent Precipitation Index values for over sixty four years of recorded data. Results were graphed (Appendix A) and precipitation events producing Antecedent Precipitation Index values over 10.16 centimeters (four inches) were selected as potential candidates for this study. An Antecedent Precipitation Index value greater than 10.16 centimeters (four inches) was selected because on average during the period of record (1940 to 2003) these events occurred approximately every three and a half years. This time span provided sufficient time between each earthquake and precipitation event to allow for aerial photographic capture without observing the influence of a similar event. Cafferata and Spittler (1998) determined a similar precipitation value for landslide initiation threshold at 11.94 centimeters (4.70 inches) over a three-day period in the Caspar Creek watershed. Table 2 presents the precipitation events with Antecedent 14 Table 2. Antecedent Precipitation Index values greater than 10 centimeters for the period of record between December 1, 1940 and January 1, 2000. December 4, 1945 Antecedent Precipitation Index Value (centimeters) 11.5 October 29, 1950 12.5 December 5, 1952 11.3 December 22, 1955 15.4 January 8, 1959 11.7 February 15, 1959 12.9 December 22, 1964 14.7 January 29, 1966 10.8 December 24, 1968 12.4 November 10, 1971 10.5 January 16, 1974 12.4 March 18, 1975 10.6 October 25, 1979 11.2 November 17, 1981 10.2 January 26, 1983 10.7 January 8, 1995 11.7 January 10, 1995 11.6 March 9, 1995 11.4 Date 15 Table 2. Antecedent Precipitation Index values greater than ten centimeters for the period of record between December 1, 1940 and January 1, 2000 (continued). Date December 9, 1996 Antecedent Precipitation Index Value (centimeters) 11.7 January 1, 1997 14.5 December 16, 2002 10.7 December 28, 2002 11.5 16 Precipitation Index values greater than 10.16 centimeters. The specific precipitation events selected for this study were chosen based on results of the earthquake catalogue and availability of aerial photograph coverage for the period of time involved. The selected precipitation events are discussed under Earthquake Event Selection in the following sections. Seismic Investigation The purpose of the seismic investigation is to identify key earthquake events and define the study region based on a range of areas that exceed the fifty percent probability for a landslide to occur due to a specific earthquake event. The seismic investigation consists of two parts. Development of an earthquake catalogue and employing the method developed by Wilson and Keefer (1985) to predict the aerial limits of earthquakeinduced landsliding for the fifty percent landslide exceedence probability. The earthquake catalogue was compiled using information from the United States Geological Survey (USGS) National Earthquake Information Center (National Earthquake Information Center 2005). A database search was conducted within an area defined by 39° to 42.5° and -122° to -125.5° for earthquakes with magnitudes greater than 5.0 between the years 1930 and 2003. Wilson and Keefer (1985) determined that the smallest events to cause disrupted slides and falls, coherent slides, and lateral spreads or flows are of magnitudes (M) 4.0, 4.5, and 5.0, respectively. The catalog time frame is restricted due to the availability of aerial photograph coverage from 1948 to 2003. The 17 aerial range of the study encompasses a large portion of the northern coast of California which is necessary in order to assess the effects of large magnitude earthquakes that may have occurred outside the study region. The method defined by Wilson and Keefer (1985) to predict the aerial extent of landsliding was applied to each event in the catalogue. I used a rating curve that correlates earthquake magnitude to distance from the epicenter for a 50 percent landslide exceedence probability area (Figure 2). The result was that nine earthquakes occurred with magnitudes large enough to produce an area of fifty percent landslide exceedence probability surrounding the earthquake epicenter (Table 3). Earthquake Event Selection Specific events of interest were selected based on when the precipitation and earthquake events occurred in relation to each other and whether aerial photographs were available for those events. Three earthquake events were determined to be suitable for study: 1954 (Magnitude 6.5), 1980 (Magnitude 7.2), and 1992 (Magnitude 7.1). Three earthquakes occurred in 1992 within two days of magnitudes 7.1, 6.6 and 6.6, however, the two smaller magnitude earthquakes occurred offshore and most of the study area falls outside of the influence of the 50 percent landslide exceedence probability. For the purposes of this study I only consider the larger magnitude event in 1992. Figure 3 shows the area of 18 Figure 2. Graph showing the relationship between earthquake magnitude and the maximum distance of disrupted slides from the earthquake epicenter for 2% (P=2), 50% (P=0), and 98% (P=2) landslide exceedence probabilities (adapted from Wilson and Keefer 1985). 19 Table 3. Summary of earthquake events with a 50% landslide exceedence probability radius determined by applying the model Wilson and Keefer developed in 1985 to determine the aerial extent of landsliding as it relates to earthquake magnitude. Earthquake ID EQ1 Date Latitude Longitude Magnitude P = 0 (kilometers) 6.5 45 12/21/1954 40.7800 -123.8700 EQ2 6/7/1975 40.5700 -124.1400 5.7 14 EQ3 11/8/1980 41.1200 -124.2500 7.2 120 EQ4 7/31/1987 40.4200 -124.4100 6.0 23 EQ5 8/17/1991 40.2400 -124.3500 6.2 33 EQ6 4/25/1992 40.3700 -124.3200 7.1 92 EQ7 4/26/1992 40.4200 -124.6000 6.6 48 EQ8 4/26/1992 40.3800 -124.5700 6.6 48 EQ9 1/22/1997 40.2700 -124.3900 5.7 14 Notes: P=0 (Fifty percent landslide exceedence probability radius) (from National Earthquake Information Center 2005). 20 Figure 3. Aerial extent radius of 50 percent landslide exceedence probability in kilometers (Table 4) for each earthquake based on earthquake magnitude, Humboldt County, California. Aerial extent radius determined by application of the method defined by Wilson and Keefer (1985). 21 50 percent landslide occurrence potential for each of the three selected earthquakes based on the Wilson and Keefer (1985) method for predicting the aerial extent of landsliding. For the 1954 earthquake, aerial photos were examined for the years 1954 (before the earthquake, control year) and 1962/1963 (after the earthquake and associated precipitation event, study year). Precipitation events producing Antecedent Precipitation Index values greater than 10 centimeters occurred in 1950 and 1953, within five years prior to the earthquake, and also in 1956, two years after the earthquake. No earthquakes exhibiting a large enough magnitude to achieve a 50 percent exceedence probability area occurred between 1930 and 1954. There were also no relevant earthquakes between 1954 and 1963. Aerial photo landslide examination for the 1980 earthquake included the following years: 1978 (before the earthquake, control year), 1981 (after the earthquake and before the second precipitation event, control year), and 1984 (after the earthquake and associated precipitation event, study year). The 1981 aerial photo set provides two control years which separate out the rainfall-induced landslides and the earthquakeinduced landslides. Having a control for the earthquake-induced landslide is important because it provides a separate rate of occurrence between the earthquake-induced landslides and those caused by both the earthquake and the following rain event. A precipitation event occurred in 1975, five years prior to the earthquake, and in 1982 and 1983, three years after the earthquake. 22 For the 1992 earthquake, a control set was not available due to approximately nine years without a precipitation event large enough to produce an Antecedent Precipitation Index value greater than 10 centimeters (four inches). The first available precipitation event occurred in 1983 and that event was already in use for the 1980 earthquake data set. Instead, aerial photographs were available in 1994 (after the earthquake, but before the precipitation event) and in 1997, after the earthquake and precipitation event that occurred in 1997. In general, the relevant precipitation events occurred within five years of the earthquake both before and after providing temporal constraints for drastic environmental changes in study area characteristics. Aerial photograph coverage for each event was typically within six years of the event occurring. The resulting earthquake events considered during this study provide two occurrences of rainfall-induced landslide control sets (before the earthquake) and two occurrences of earthquake-induced landslide control sets (following the earthquake and prior to the next relevant rain event). Landslide Inventory I evaluated individual landslides within each study area using a mirror stereoscope and aerial photographs sets. The following aerial photographs were used: 1954 (California Department of Natural Resources 1954), 1962/1963 (Humboldt County Assessor 1962/1963), 1978 (Scotia Pacific Geology Archives 1978), 1981 (Cascade 23 Aerial Maps and Surveying 1981), 1984 (Scotia Pacific Geology Archives 1984), 1994 (Cascade Aerial Maps and Surveying 1994), and 1997 (WAC, Inc 1997). I identified landslides in aerial photos as locations of increased albedo compared to surrounding areas. Aerial photographs are often used to construct landslide catalogues (Pearce and Watson 1986, Hovius et al. 1997, Reid 1998, Robison et al. 1999, Hovius et al. 2000, Guzzetti et al. 2002, Martin et al. 2002, Wills and McCrink 2002, Brardinoni et al. 2003, and Dadson et al. 2004). The approximate length and width was measured for each landslide to calculate a landslide area. By following the same harvest areas through time, hillslope conditions such as geology, slope gradient, and management are kept uniform. I considered land management as uniform during the observation period with the assumption that re-entry to the study site did not occur after the harvest activity and causing additional ground disturbance. One characteristic that changes through time is the vegetation because the area starts out recently harvested and then is in a period of regrowth. Landslide Magnitude-Frequency Analysis Magnitude-frequency analyses are often done to determine temporal and spatial rates of landsliding in order to assess landslide hazards and produce landslide frequency and probability curves (Hovius et al. 1997, 2000, Dai and Lee 2001, Guzzetti et al. 2002, and Martin et al. 2002). Using the area data collected during the landslide inventory, an area-frequency distribution curve was produced by calculating the frequency of landslide 24 area within bins corresponding to the area of the smallest observed landslides and then calculating the cumulative frequency of the landslides. The area-frequency distribution curve was plotted on a log-log graph using the cumulative frequency and the landslide area bins. RESULTS Data were analyzed by looking at 1) changes in landslide size and occurrence, 2) percentage change in landslide size and occurrence, 3) size of the landslides with respect to landslide area, and 4) analysis of magnitude-frequency. Data were analyzed by examining the total landscape effect and in addition to the individual study areas. When looking at the data set as a whole for each earthquake, both the number of landslides and the area of the landslides increased in each case from the control year to the study year (Table 4). Results support the hypothesis that the number and area of landslides increased when de-stabilized colluvial hollows experience high antecedent moisture conditions when compared to the non-earthquake precipitation control and the earthquake control. The study year in each data set occurred after an earthquake followed by a precipitation event with an Antecedent Precipitation Index value greater than ten centimeters. It is possible that the increase in slide area and occurrence observed in the study year is due to observing previous failures and not isolating only failures that occurred both after the earthquake and the precipitation event. It is interesting to see, however, that with respect to the 1980 earthquake set, there was a decrease in both the observed number of landslides and slide areas from the precipitation control year and the following earthquake control year. This indicates that 25 26 Table 4. Sum of landslide occurrence and area for each stage (control and study year) for each earthquake event, Humboldt County, California. Earthquake Year 1954 1980 1992 Photo Year 1954 (control year) 1963 (study year) 1978 (control year) 1981 (control year) 1984 (study year) 1994 (control year) 1997 (study year) Sum of Individual Slide Areas (square meters) Average Slide Area per Slide (square meters) 13 4,702 362 7.07 21 30,723 1,463 32.59 213 109,349 513 32.59 163 61,310 376 32.59 322 221,935 689 5.36 19 12,709 669 5.36 77 52,067 676 Total Study Area (square kilometers) Total Number of Slides 7.07 27 the observation of previous failures is not causing the increase in the total landslides observed in successive years. It is interesting to observe the average individual slide area for the control and study years. This value may indicate a change in the slide mechanism between the control and study years. For example, an increase in the number of slides with a consistent slide area per slide between control and study year may indicate the failures are of a similar type such as shallow landslides. An increase in the slide area per slide can indicate a change in the slide mechanism to perhaps larger, more deep-seated failures. It appears the individual slide area generally remained consistent, within approximately 200 square meters, consistent between control and study years with the exception of the 1954 data set, in which the average individual slide area increased by approximately 1,100 square meters (Table 4). Table 5 presents the data from Table 4 in terms of a percentage change between the control year and study year. The percentage change was positive in each case showing an increase in both number of slides and slide areas. The largest percentage change in the number of landslides occurred between 1994 and 1997 at 305 percent (Table 5). The largest percent change in slide area occurred between 1954 and 1963 at 553 percent (Table 5). This suggests that larger slides may have occurred during this time period as compared to other earthquake data sets, especially because it is not accompanied by the largest increase in the number of slides. 28 Table 5. Summary of percentage changes in landslide counts and area between the control year and the study year for each earthquake event. Earthquake Year Control Photo Year Study Photo Year Percentage Change in Slide Numbers From Control Year 1954 1954 1963 62 Percentage Change in Slide Area (square meters) From Control Value 553 1980 1978 1984 51 103 1981 1984 98 147 1994 1997 305 310 1992 29 Another way I examined the data was to segregate data into the individual study areas. Table 6 shows the number of slides and the slide areas for each study area in the data sets at each stage (control and study year). In the majority of the individual study areas, landslide count and landslide area increased between the control and study years. Exceptions to the increase are found in the 1954 earthquake data set in Lake Creek 1, Lake Creek 2, and Root Creek (Table 6). Lake Creek 1 experienced one additional landslide in the study year than in the control year, but the landslide area decreased slightly (11 square meters) between the study year and the control year. This decrease may be due to smaller landslides occurring in the study year or increased vegetative cover preventing observation. Lake Creek 2 did not experience any landsliding in either the control or study year. Root Creek experienced the same number of landslides in both the control and the study years. The landslide area in Root Creek did increase in the study year over the control year even though the number of landslides remained the same. This may be indicative of either a reactivation of a previously mapped landslide or occurrence of larger landslides during the control year. The percentage changes in landslide counts and landslide areas for the individual study areas are presented in Table 7. The percentage changes in landslide counts, with the exception of Lake Creek 2 and Root Creek in the 1954 data set, ranged from six percent to 625 percent. The 1992 earthquake data set experienced the greatest percent change in landslide counts between the control year and the study year with all of the increases Eel River Hely Creek Root Creek Sammy Creek Total 1980 Bridge Creek Eel River Little Freshwater Creek Shively Creek Tank Gulch Total Notes: NA = Not available Lake Creek 1 Lake Creek 2 Root Creek S. F. Elk Yager Creek Total 1954 1992 Basin Earthquake Year N/A N/A N/A N/A N/A 2.3 1.3 0.5 6.11 85 80 21 27 213 0.8 1.2 12.6 9.7 7.0 3.3 32.58 5 4 3 19 0 7 79 N/A 16 68 163 13 29 15 77 3 17 112 85 52 73 322 N/A N/A N/A N/A N/A 4,6179 38,712 5,492 18,967 109,349 2,902 807 2,213 12,709 0 6,787 39,393 N/A 3,026 18,891 61,310 10,558 16,732 6,942 52,067 2428 15,408 53,954 101306.1 28,334 38,342 221,939 Number of Slides Slide Area (square meters) Study Post Post Area Before Post Before Post (km2) Earthquake Earthquake Earthquake Earthquake Earthquake Earthquake & Storm & Storm 4 N/A 5 1,524 N/A 1,511 0.3 0.9 0 N/A 0 0 N/A 0 1.0 7 N/A 7 2,471 N/A 6,367 2.6 0 N/A 3 0 N/A 602 2.3 2 N/A 6 708 N/A 22,242 7.07 13 N/A 21 4,702 N/A 30,723 Table 6. Summary of landslide occurrence and area by stage within the individual study areas for each earthquake event. 30 31 Table 7. Summary of percentage changes in landslide occurrence and area for the individual study areas between control and study years for each earthquake event. Earthquake Year Basin 1954 Lake Creek 1 1954 1963 25 Percentage Change in Slide Area (square meters) From Control Value -1 Lake Creek 2 1954 1963 0 0 Root Creek 1954 1963 0 158 S. F. Elk 1954 1963 * * Yager Creek 1954 1963 200 3041 Eel River 1978 1984 32 17 1981 1984 42 37 1978 1984 6 162 1981 1984 NA NA 1978 1984 148 416 1981 1984 225 836 1978 1984 170 102 1981 1984 7 103 1994 1997 * * 1980 Hely Creek Root Creek Sammy Creek 1992 Bridge Creek Control Photo Year Study Photo Year Percentage Change in Slide Numbers From Control Year 32 Table 7. Summary of percentage changes in landslide occurrence and size for individual study areas between control and study years for each earthquake event (continued). Earthquake Year 1992 (continued) Basin Eel River Little Freshwater Creek Shively Creek Tank Gulch 1994 1997 143 Percentage Change in Slide Area (square meters) From Control Value 127 1994 1997 160 264 1994 1997 625 1973 1994 1997 400 214 Control Photo Year Study Photo Year Percentage Change in Slide Numbers From Control Year * = Percent change could not be calculated due to an initial value of zero. NA = Not available 33 greater than 100 percent. None of the study areas experienced a decrease in landslide counts between the control year and the study year. Percentage changes in landslide areas were also nearly all positive, with the exception of Lake Creek 1, which experienced a decrease in landslide area, and Lake Creek 2 where no landslides occurred in either the control or study years. The positive percentage changes in landslide areas ranged from 17 percent (Eel River in the 1980 earthquake set) to 3,041 percent (Yager Creek in the 1954 earthquake set). The negative percentage change in landslide area experienced in Lake Creek 1 in the 1954 data set was only a one percent reduction in landslide area, the smallest percentage change observed in the data set. South Fork Elk River in the 1954 data set and Bridge Creek in the 1992 data set could not have percentage changes calculated because they both did not have any landslides in the control year and then did have landslides in the study year, however, there was a net increase in landslides at both locations. Cumulative frequencies for each year were calculated for landslide area results of the landslide inventory and plotted as an area-frequency distribution (Figure 4). In general, the area-frequency distribution is greater for the study years compared to the control years in both the small magnitude events and through the most robust portion of the area-frequency distribution curve. The trend does not remain consistent for the large magnitude events. This may indicate that the large magnitude events are controlled by factors other than those associated with the smaller landslide events. The most robust 34 1954 Cumulative Frequency (N (m 2)-1 yr-1) 1000 1954 1963 100 Power (1963) y = 198.65x -0.5044 R2 = 0.9458 10 1 1 10 1000 10000 1980 1000 Cumulative Frequency (N (m 2)-1 yr-1) 100 Area (m2) 1978 1981 100 1984 Power (1984) y = 239674x -1.2679 R2 = 0.887 10 1 1 10 1000 10000 1992 1000 Cumulative Frequency (N (m 2)-1 yr-1) 100 Area (m2) 1994 1997 100 Power (1997) y = 6564x -0.9149 R2 = 0.8974 10 1 1 10 100 Area (m2) 1000 10000 Figure 4. Landslide area-frequency distributions for each control and study year: 1954, 1980, and 1992 data sets. A power law trend line is drawn through the study years. 35 portion of the data generally occurs between approximately 200 square meters and 2,000 square meters for each data set. Figure 5 shows the area-frequency distribution for the 1980 earthquake data set. This event was associated with the most data and also provided control years for both the precipitation and the earthquake events. Only the most robust portion of the landslide area data from 1984 was graphed to show the increase in the strength of the power curve. It changed from an R2 of 0.89 (Figure 4), where the power curve was best fit through all the data, to an R2 of 0.98 (Figure 5) when fitted through the main part of the data. 36 1980 Cumulative Frequency (N (m 2)-1 yr-1) 1000 1978 1981 100 1984 Power (1984) 10 y = 2E+06x -1.5519 R2 = 0.983 1 1 10 100 1000 10000 2 Area (m ) Figure 5. Landslide area-frequency distribution for the 1980 earthquake event with a power law trend line placed through the most robust portion of the data from the study year (1984). DISCUSSION The purpose of this case study is to test for a general increase in landslide occurrence and magnitude-frequency after a large seismic event followed by a large precipitation event coinciding with high antecedent soil moisture when compared to control years having similar events, although not combined. My hypothesis at the outset of this study was that there would be an increase in landslide occurrence and magnitudefrequency under this set of conditions. The data indicate there is a general increase in both occurrence of the number of landslides and the magnitude-frequency of landslides after an earthquake followed by a large precipitation event. These results are consistent with Dadson et al. (2004) who found an increase in landslide occurrences mapped in Taiwan after a typhoon following an earthquake compared to the number of landslides mapped just after the earthquake and after a typhoon that occurred several years before the earthquake. An important consideration of the results of this study is that the study years occurred approximately nine years, six years, and three years after the initial harvest for the 1954, 1980, and 1992 data sets, respectively. These time frames, especially for the 1954 data set, occur at the weakest time for relative root reinforcement for residual root systems and new root growth (Ziemer 1981). In 1981, Ziemer found relative root reinforcement to be at its lowest, at approximately 20 percent, at 10 years after harvest for clear cut harvests. Further research could determine if the cycle of natural hazards examined in this study would have the same results regardless of the type of harvest. 37 38 Interestingly, the largest percentage change in the number of landslides occurred in the 1992 set (Figure 4, Table 5). In Figure 4, the area-frequency distribution curves between 1994 (control year) and 1997 (study year) have a larger distance between them than any of the other data sets. Compared to the other data sets, the 1992 data set should have the strongest relative root reinforcement strength because it was only approximately three years between the initial harvest and the study year. Additionally, the large increase in the number of landslides observed during this time period occurred most recently compared to the other data sets. The large increases seen in 1992 may be due to spatial variations in antecedent soil moisture conditions because only one rain gage station was used in the calculation of the Antecedent Precipitation Index. Rainfall may have been more intense or lasted longer in the study areas farther from that rain gage. An additional consideration for 1992 is that there were three earthquakes with magnitudes greater that six (M6) within two days in 1992. The additional earthquakes might have increased the effect of de-stabilization of colluvial hollows as compared to the 1954 and 1980 single earthquake event data sets. I also believed it was important to examine, along with root reinforcement influences, any differences in rainfall amounts or Antecedent Precipitation Index values that might cause differences between the data sets. Cafferata and Spittler (1998) identified one, three, and 10 day rainfall thresholds for initiating landslides in Caspar Creek (north-central coast of California) at 4.88 centimeters (1.92 inches), 11.94 centimeters (4.70 inches), and 20.09 centimeters (7.91 inches), respectively. I targeted 39 twelve rainfall events for this study (Table 2). Of these twelve, seven had one day rainfall totals between 9.91 and 11.30 centimeters (3.90 and 4.45 inches, respectively), well above the one day rainfall threshold identified by Cafferata and Spittler (1998). Four of the targeted rainfall events had three day rainfall totals between 18.08 and 25.37 centimeters (7.12 and 9.99 inches, respectively) that were greater than the threshold identified by Cafferata and Spittler (1998) and one storm had a five day rainfall total of 40.11 centimeters (15.79 inches). Looking at the most significant rain events, in terms of rainfall totals and Antecedent Precipitation Index values allows for direct comparison of the precipitation controls. For the 1954 earthquake event, the rain event producing the highest Antecedent Precipitation Index (12.4 centimeters) for the control year analysis occurred on October 29, 1950. It had a three day rainfall amount of 25.37 centimeters (9.99 inches). The rain event with the highest Antecedent Precipitation Index (14.7 centimeters) for the study year had a one day rain total of 10.74 centimeters (4.23 inches). The Antecedent Precipitation Index values for these two rain events are relatively similar even though the actual rainfall amounts were more than double the amount in the study year compared to the control year. The 1980 earthquake data set yielded rain events with very similar Antecedent Precipitation Index values and one day rainfall totals for the pre-earthquake control (January 1, 1974), post-earthquake control (November 17, 1981), and the study year (January 26, 1983). The January 16, 1974 rainfall event had an Antecedent Precipitation Index of 12.4 centimeters and a one day rainfall total of 10.85 centimeters 40 (4.27 inches). The November 17, 1981 event had an Antecedent Precipitation Index of 10.2 centimeters and a three day rainfall total of 18.08 centimeters (7.12 inches). The Antecedent Precipitation Index values for the 1992 earthquake data set had the largest difference between the control and study year at 11.6 centimeters and 14.5 centimeters, respectively. For the control year (January 10, 1995), the three day rainfall total was 24.05 centimeters (9.47 inches) and for the study year (January 1, 1997), the three day rainfall total was 22.61 centimeters (8.90 inches). The difference between the control and study year Antecedent Precipitation Index values for the 1992 earthquake data set may be the reason that the percent increase in landslide occurrence during this time was greater than the other earthquake data sets. For the magnitude-frequency analysis, the cumulative frequency plots (Figures 4 and 5) follow the power law trend observed for landslide frequencies in other studies (Hovius et al. 1997, Hovius et al. 2000, Dai and Lee 2001, Guzzetti et al. 2002, and Martin et al. 2002). The plots flatten out the lower end of the graph and steepen at the upper bounds. This is likely due to a lack of data at the lower bounds because of the difficulty in identifying small landslides and at the upper bounds because the period of record may not be long enough to provide accurate data (Guzzetti et al. 2002 and Martin et al. 2002). It has been determined that many small landslides are not accounted for when doing an aerial photographic inventory and can under represent landslide frequencies (Robison et al. 1999, Wills and McCrink 2002, and Brardinoni et al. 2003). 41 This case study attempts to identify a trend of increased sediment production in terms of shallow landslides after the de-stabilization of hillslopes due to strong shaking associated with earthquakes followed by large rain events. I interpret the results to suggest that there is a trend of increasing landslides given the afore-mentioned conditions in this region. Further research in northwestern California is recommended to look at which combination of hillslope characteristics, such as geology, slope gradient, harvest methods, etc, are the most sensitive to this combination of natural hazards. This study only looked at the magnitude-frequency distributions of individual years and only accounted for shallow landslides. Additional research may attempt to look at the areafrequency or volume-frequency distributions over time and for different types of landslides, such as bedrock-dominated landslides. REFERENCES Anderson, S. A. and N. Sitar. 1995. Analysis of rainfall-induced debris flows. Journal of Geotechnical Engineering 121:544-552. Benda, L. E. and T. Dunne. 1997. Stochastic forcing of sediment supply to channel networks from landsliding and debris flow. Water Resources Research 33(12):2849-2863. Blake, M. C., A. S. Jayko, Jr., and R. J. McLaughlin. 1988. Metamorphic and tectonic evolution of the Franciscan Complex, Northern California. 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Sediment budget of a small coast range drainage basin in NorthCentral California. United States Forest Service Pacific Northwest Forest and Range Experiment Station, General Technical Report PNW-141:67-77, Portland, Oregon. Martin, Y., K. Rood, J. W. Schwab, and M. Church. 2002. Sediment transfer by shallow landsliding in the Queen Charlotte Islands, British Columbia. Canadian Journal of Earth Sciences 39:189-205. McLaughlin, R. J., S. D. Ellen, M. C. Blake, A. S. Jayko, Jr., W. P. Irwin, K. R. Aalto, G. A. Carver, and S. H. Clarke, Jr. 2000. Geology of the Cape Mendocino, Eureka, Garberville, and southwestern part of the Hayfork 30 x 60 minute quadrangles and adjacent offshore area, Northern California. United States Department of the Interior United States Geological Survey, Menlo Park, California. Montgomery, D. R., K. M. Schmidt, H. M. Greenberg, and W. E. Dietrich. 2000. Forest clearing and regional landsliding. Geology 28(4):311-314. National Climate Data Center. 2004. Climate-radar data inventories station list, Scotia, California, Asheville, North Carolina. Available at http://www4.ncdc.noaa.gov/cgi-win/wwcgi.dll?wwDI~SelectStation~USA~CA. National Earthquake Information Center. 2005. Earthquake Database. United States Department of the Interior United States Geological Survey, Denver, Colorado. Available at http://neic.usgs.gov/neis/epic/epic_rect.html 45 Onda, Y., M. Tsujimura, and H. Tabuchi. 2004. The role of subsurface water flow paths on hillslope hydrological processes, landslides and landform development in steep mountains of Japan. Hydrological Processes 18:637-650. Pearce, A. J. and A. J. Watson. 1986. Effects of earthquake-induced landslides on sediment budget and transport over a 50-yr period. Geology 14:52-55. Reid, L. M. 1998. Calculation of average landslide frequency using climatic records. Water Resources Research 34(4):869-877. Reid, L. M. and T. Dunne. 1996. Rapid evaluation of sediment budgets. Catena Verlag, Reiskirchen, Germany, 164 pp. Robison, E. G., K. A. Mills, J. Paul, L. Dent, and A. Skaugset. 1999. Oregon Department of Forestry Storm Impacts and Landslides of 1996: Final Report. Forest Practices Technical Report Number 4, Salem, Oregon. Scotia Pacific Geology Archives. 1978. Black and white photographs, Flight C-STCS-17 B1171, Flight Lines 7, 8, 9, 16, 17, 19, 20, 21, and 22, Scotia, California. July 18, 1978, nominal scale 1:12,000. Scotia Pacific Geology Archives. 1984. Black and white photographs, Flight: unknown, Flight Lines: unknown, Scotia, California. Spittler, T. E. 1983. Geology and geomorphic features related to landsliding, Redcrest 7.5-Minute Quadrangle, Humboldt County, California: California Department of Conservation Division of Mines and Geology, Sacramento, California. Swanson, F. J., L. E. Benda, S. H. Duncan, G. E. Grant, W. F. Megahan, L. M. Reid, and R. R. Ziemer. 1987. Mass failures and other processes of sediment production in Pacific Northwest forest landscapes. In E. O. Salo and T. W. Cundy, editors. Streamside Management: Forestry and Fishery Interactions. Proceedings of Symposium held at University of Washington, 12-14 February 1986, Seattle, Washington. WAC, Inc. 1997. Color photographs, Flight HUM-97, Flight Lines 17, 18. 19, 22, 24, 25, and 26, Scotia, California. July 20 - August 2, 1997. Western Regional Climate Center. 2006. Period of record monthly climate summary for Scotia, California, Reno, Nevada. Available at http://www.wrcc.dri.edu/cgibin/cliRECtM.pl?ca8045. Wills, C. J. and T. P. McCrink. 2002. Comparing landslide inventories: the map depends on the method. Environmental & Engineering Geoscience VIII(4):279-293. 46 Wilson, R. C. and D. K. Keefer. 1985. Predicting aerial limits of earthquake-induced landsliding. In J. I. Ziony, editor. Evaluating earthquake hazards in the Los Angeles region - an earth-science perspective. United States Geological Survey Professional Paper 1360 pp. 316-345, Menlo Park, California. Ziemer, R. R. 1981. The role of vegetation in the stability of forested slopes. Pages 291308 in International Union of Forest Research Organization, XVII IUFRO World Congress Proceeding, Division I. Ziemer, R. R. 1984. Response of progressive hillslope deformation to precipitation. Pages 91-98 in C.L. O' Laughlin and A. J. Pearce, editors. Proceedings of the Symposium on the effects of forest land use on erosion and slope stability, 7-11 May 1984, Honolulu, Hawaii. Ziemer, R. R. and J. S. Albright. 1987. Subsurface pipeflow dynamics of north-coastal California swale systems. Pages 71-80 in R. L. Beschta, T. Blinn, G. E. Grant, F. J. Swanson, and G. G. Ice, editors. Erosion and sedimentation on the Pacific Rim, proceedings of the Corvallis Symposium. International Association of Hydrological Sciences Publication No. 165, Wallingford, U. K. Appendix A. Calculated Antecedent Precipitation Index values (in inches) during the period of record from December 1940 through December 1999 in five year intervals. Date Date 47 9/1/1949 5/1/1949 1/1/1948 9/1/1947 5/1/1947 1/1/1947 9/1/1946 5/1/1946 1/1/1946 9/1/1945 5/1/1945 7.000 6.000 5.000 4.000 3.000 2.000 1.000 0.000 1/1/1945 API API Values 1945-1949 12/1/1944 3/1/1944 1/1/1949 9/1/1944 12/1/1943 9/1/1948 6/1/1944 9/1/1943 5/1/1948 6/1/1943 3/1/1943 12/1/1942 9/1/1942 6/1/1942 3/1/1942 12/1/1941 9/1/1941 6/1/1941 3/1/1941 7.00 6.00 5.00 4.00 3.00 2.00 1.00 0.00 12/1/1940 API API Values December 1940 - December 1944 48 Appendix A. Calculated Antecedent Precipitation Index values (in inches) during the period of record from December 1940 through December 1999 in five year intervals (continued). 5/1/1953 9/1/1953 1/1/1954 5/1/1954 9/1/1954 5/1/1958 9/1/1958 1/1/1959 5/1/1959 9/1/1959 1/1/1953 9/1/1952 5/1/1952 1/1/1952 9/1/1951 5/1/1951 1/1/1951 9/1/1950 5/1/1950 7.000 6.000 5.000 4.000 3.000 2.000 1.000 0.000 1/1/1950 API API Values 1950 - 1954 Date Date 1/1/1958 9/1/1957 5/1/1957 1/1/1957 9/1/1956 5/1/1956 1/1/1956 9/1/1955 5/1/1955 7.000 6.000 5.000 4.000 3.000 2.000 1.000 0.000 1/1/1955 API API Values 1955-1959 49 Appendix A. Calculated Antecedent Precipitation Index values (in inches) during the period of record from December 1940 through December 1999 in five year intervals (continued). 5/1/1963 9/1/1963 1/1/1964 5/1/1964 9/1/1964 5/1/1968 9/1/1968 1/1/1969 5/1/1969 9/1/1969 1/1/1963 9/1/1962 5/1/1962 1/1/1962 9/1/1961 5/1/1961 1/1/1961 9/1/1960 5/1/1960 7.000 6.000 5.000 4.000 3.000 2.000 1.000 0.000 1/1/1960 API API Values 1960 - 1964 Date Date 1/1/1968 9/1/1967 5/1/1967 1/1/1967 9/1/1966 5/1/1966 1/1/1966 9/1/1965 5/1/1965 7.000 6.000 5.000 4.000 3.000 2.000 1.000 0.000 1/1/1965 API API Values 1965 - 1969 50 Appendix A. Calculated Antecedent Precipitation Index values (in inches) during the period of record from December 1940 through December 1999 in five year intervals (continued). 9/1/1973 1/1/1974 5/1/1974 9/1/1974 9/1/1978 1/1/1979 5/1/1979 9/1/1979 5/1/1973 1/1/1973 9/1/1972 5/1/1972 1/1/1972 9/1/1971 5/1/1971 1/1/1971 9/1/1970 5/1/1970 7.000 6.000 5.000 4.000 3.000 2.000 1.000 0.000 1/1/1970 API API Values 1970 - 1974 Date Date 5/1/1978 1/1/1978 9/1/1977 5/1/1977 1/1/1977 9/1/1976 5/1/1976 1/1/1976 9/1/1975 5/1/1975 7.000 6.000 5.000 4.000 3.000 2.000 1.000 0.000 1/1/1975 API API Values 1975 - 1979 51 Appendix A. Calculated Antecedent Precipitation Index values (in inches) during the period of record from December 1940 through December 1999 in five year intervals (continued). 9/1/1983 1/1/1984 5/1/1984 9/1/1984 9/1/1988 1/1/1989 5/1/1989 9/1/1989 5/1/1983 1/1/1983 9/1/1982 5/1/1982 1/1/1982 9/1/1981 5/1/1981 1/1/1981 9/1/1980 5/1/1980 7.000 6.000 5.000 4.000 3.000 2.000 1.000 0.000 1/1/1980 API API Values 1980 - 1984 Date Date 5/1/1988 1/1/1988 9/1/1987 5/1/1987 1/1/1987 9/1/1986 5/1/1986 1/1/1986 9/1/1985 5/1/1985 7.000 6.000 5.000 4.000 3.000 2.000 1.000 0.000 1/1/1985 API API Values 1985 - 1989 52 Appendix A. Calculated Antecedent Precipitation Index values (in inches) during the period of record from December 1940 through December 1999 in five year intervals (continued). 9/1/1993 1/1/1994 5/1/1994 9/1/1994 9/1/1998 1/1/1999 5/1/1999 9/1/1999 5/1/1993 1/1/1993 9/1/1992 5/1/1992 1/1/1992 9/1/1991 5/1/1991 1/1/1991 9/1/1990 5/1/1990 7.000 6.000 5.000 4.000 3.000 2.000 1.000 0.000 1/1/1990 API API Values 1990 - 1994 Date Date 5/1/1998 1/1/1998 9/1/1997 5/1/1997 1/1/1997 9/1/1996 5/1/1996 1/1/1996 9/1/1995 5/1/1995 7.000 6.000 5.000 4.000 3.000 2.000 1.000 0.000 1/1/1995 API API Values 1995 - 1999
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