Historical Maximum Seismic Intensity Maps in Japan from 1586 to 2004: Construction of Database and Application. Masatoshi MIYAZAWA* and Jim MORI

Similar documents
Amplification of Tsunami Heights by Delayed Rupture of Great Earthquakes along the Nankai Trough

Long-period Ground Motion Simulation in Kinki Area. Nobuyuki YAMADA* and Tomotaka IWATA

The Current Activities of the Headquarters for Earthquake Research Promotion Concerning Tonankai/Nankai Earthquakes

PROBABILISTIC SEISMIC HAZARD MAPS AT GROUND SURFACE IN JAPAN BASED ON SITE EFFECTS ESTIMATED FROM OBSERVED STRONG-MOTION RECORDS

RECIPE FOR PREDICTING STRONG GROUND MOTIONS FROM FUTURE LARGE INTRASLAB EARTHQUAKES

Seismic Activity and Crustal Deformation after the 2011 Off the Pacific Coast of Tohoku Earthquake

Source modeling of hypothetical Tokai-Tonankai-Nankai, Japan, earthquake and strong ground motion simulation using the empirical Green s functions

PREDICTIONS OF EARTHQUAKE OCCURRENCE BEHAVIORS FROM ACTIVE FAULT SYSTEMS ACROSS THE JAPANESE ARCHIPELAGO BY STATISTICAL SIMULATIONS

STRONG GROUND MOTION PREDICTION FOR HUGE SUBDUCTION EARTHQUAKES USING A CHARACTERIZED SOURCE MODEL AND SEVERAL SIMULATION TECHNIQUES

Probabilistic Seismic Hazard Maps in Dam Foundation

Long-period ground motion simulation in the Kinki area during the MJ 7.1 foreshock of the 2004 off the Kii peninsula earthquakes

Detection of Kuril subduction-zone earthquakes from remote historic records in Honshu, Japan, between 1656 and 1867

Slip distributions of the 1944 Tonankai and 1946 Nankai earthquakes including the horizontal movement effect on tsunami generation

New Seismic Activity Model of Large Earthquakes along Nankai Trough for Probabilistic Seismic Hazard Maps

RISKY HIGH-RISE BUILDINGS RESONATING WITH THE LONG-PERIOD STRONG GROUND MOTIONS IN THE OSAKA BASIN, JAPAN

PROBABILISTIC LIQUEFACTION HAZARD ANALYSIS IN JAPAN

Some Problems Related to Empirical Predictions of Strong Motion

REGIONAL CHARACTERISTICS OF STRESS FIELD AND ITS DYNAMICS IN AND AROUND THE NANKAI TROUGH, JAPAN

ACTIVITIES OF THE HEADQUARTERS FOR EARTHQUAKE RESEARCH PROMOTION

Inversion Analysis of Historical Interplate Earthquakes Using Seismic Intensity Data

Double-difference relocations of the 2004 off the Kii peninsula earthquakes

GROUND MOTION SPECTRAL INTENSITY PREDICTION WITH STOCHASTIC GREEN S FUNCTION METHOD FOR HYPOTHETICAL GREAT EARTHQUAKES ALONG THE NANKAI TROUGH, JAPAN

LETTER Earth Planets Space, 56, , 2004

REPORT ON THE TOHOKU AREA PASIFIC OFFSHORE EARTHQUAKE

A Prototype of Strong Ground Motion Prediction Procedure for Intraslab Earthquake based on the Characterized Source Model

CONTROLLING FACTORS OF STRONG GROUND MOTION PREDICTION FOR SCENARIO EARTHQUAKES

JCR (2 ), JGR- (1 ) (4 ) 11, EPSL GRL BSSA

log 4 0.7m log m Seismic Analysis of Structures by TK Dutta, Civil Department, IIT Delhi, New Delhi. Module 1 Seismology Exercise Problems :

Chapter 2 Multivariate Statistical Analysis for Seismotectonic Provinces Using Earthquake, Active Fault, and Crustal Structure Datasets

Disaster Prevention Research Section, Technology Center, Taisei Corporation, Yokohama, Japan 2

Coseismic slip distribution of the 1946 Nankai earthquake and aseismic slips caused by the earthquake

4 Associate Professor, DPRI, Kyoto University, Uji, Japan

Japan Seismic Hazard Information Station

CHARACTERISTICS OF STRONG GROUND MOTION FROM THE 2011 GIGANTIC TOHOKU, JAPAN EARTHQUAKE

RELATION BETWEEN RAYLEIGH WAVES AND UPLIFT OF THE SEABED DUE TO SEISMIC FAULTING

TSUNAMI CHARACTERISTICS OF OUTER-RISE EARTHQUAKES ALONG THE PACIFIC COAST OF NICARAGUA - A CASE STUDY FOR THE 2016 NICARAGUA EVENT-

BROADBAND SOURCE MODEL AND STRONG MOTIONS

Probabilistic seismic hazard maps for the Japanese islands

Earthquakes in Canada

Source Characteristics of Large Outer Rise Earthquakes in the Pacific Plate

Study on a Simplified Method of Tsunami Risk Assessment

ANALYTICAL STUDY ON RELIABILITY OF SEISMIC SITE-SPECIFIC CHARACTERISTICS ESTIMATED FROM MICROTREMOR MEASUREMENTS

Earthquake Source. Kazuki Koketsu. Special Session: Great East Japan (Tohoku) Earthquake. Earthquake Research Institute, University of Tokyo

The Japanese University Joint Seismic Observations at the Niigaka-Kobe Tectonic Zone

Preliminary Analysis for Characteristics of Strong Ground Motion from Gigantic Earthquakes

Strong ground motions from the 2011 off-the Pacific-Coast-of-Tohoku, Japan (Mw=9.0) earthquake obtained from a dense nationwide seismic network

EARTHQUAKE SOURCE PARAMETERS FOR SUBDUCTION ZONE EVENTS CAUSING TSUNAMIS IN AND AROUND THE PHILIPPINES

Takashi Kumamoto, Masatoshi Fujita, Hideaki Goto, and Takashi Nakata

Lessons from the 2004 Sumatra earthquake and the Asian tsunami

Estimation of Regional Seismic Hazard in the Korean Peninsula Using Historical Earthquake Data between A.D. 2 and 1995

AVERAGE AND VARIATION OF FOCAL MECHANISM AROUND TOHOKU SUBDUCTION ZONE

The great earthquakes that have shaped Japan 日本に大きな影響を与えた地震

TSUNAMI HAZARD ASSESSMENT FOR THE CENTRAL COAST OF PERU USING NUMERICAL SIMULATIONS FOR THE 1974, 1966 AND 1746 EARTHQUAKES

Preparation of a Comprehensive Earthquake Catalog for Northeast India and its completeness analysis

Magnitude 8.3 SEA OF OKHOTSK

Earthquakes and Tsunamis

Strong Ground Motion Evaluation in the Tokyo Metropolitan Area: The 1923 Kanto Earthquake and Future Subduction-Zone Earthquakes

Japan Agency for Marine-Earth Science and Technology (JAMSTEC), 2-15 Natsushima-cho, Yokosuka JAPAN

FEASIBILITY STUDY ON EARTHQUAKE EARLY WARNING SYSTEM FOR THE CITY OF LIMA, PERU, USING A NEWLY DEPLOYED STRONG-MOTION NETWORK

Long-period Ground Motion Characteristics of the Osaka Sedimentary Basin during the 2011 Great Tohoku Earthquake

THEORETICAL EVALUATION OF EFFECTS OF SEA ON SEISMIC GROUND MOTION

Magnitude 6.9 GULF OF CALIFORNIA

Fracture induced shear wave splitting in a source area of triggered seismicity by the Tohoku-oki earthquake in northeastern Japan.

SOURCE MODELING OF RECENT LARGE INLAND CRUSTAL EARTHQUAKES IN JAPAN AND SOURCE CHARACTERIZATION FOR STRONG MOTION PREDICTION

Development of a Predictive Simulation System for Crustal Activities in and around Japan - II

NEW ATTENUATION FORMULA OF EARTHQUAKE GROUND MOTIONS PASSING THROUGH THE VOLCANIC FRONT

Special edition paper Development of Shinkansen Earthquake Impact Assessment System

INTEGRATION OF GEOLOGICAL AND SEISMOLOGICAL DATA FOR THE ANALYSIS OF SEISMIC HAZARD: A CASE STUDY OF JAPAN

Effect of an outer-rise earthquake on seismic cycle of large interplate earthquakes estimated from an instability model based on friction mechanics

Magnitude 7.1 PHILIPPINES

Ground Motion Validation of the +3,- Kanto Earthquake Using the New Geometry of the Philippine Sea Slab and Integrated -D Velocity-Structure Model

TSUNAMI AND EARTHQUAKE ACTIVITY IN INDONESIA *

FOCAL MECHANISMS OF SUBDUCTION ZONE EARTHQUAKES ALONG THE JAVA TRENCH: PRELIMINARY STUDY FOR THE PSHA FOR YOGYAKARTA REGION, INDONESIA

Fault Length and Direction of Rupture Propagation for the 1993 Kushiro-Oki Earthquake as Derived from Strong Motion Duration

Crustal deformation by the Southeast-off Kii Peninsula Earthquake

Practical Use of the Earthquake Early Warning (EEW) System for Shinkansen

Tokyo, Japan,

Characterizing Earthquake Rupture Models for the Prediction of Strong Ground Motion

Deep Seismic Surveys in the Kinki District : Shingu- Maizuru Line

LIQUEFACTION HISTORY, , IN JAPAN

Testing various seismic potential models for hazard estimation against a historical earthquake catalog in Japan

Uncertainties in a probabilistic model for seismic hazard analysis in Japan

Probabilistic Seismic Hazard Analysis in Thailand and Adjacent Areas by Using Regional Seismic Source Zones

EARTHQUAKE HAZARD ASSESSMENT IN KAZAKHSTAN

SEISMIC HAZARD ASSESSMENT FOR JAPAN AFTER THE 2011 TOHOKU-OKI MEGA-THRUST EARTHQUAKE (Mw9.0)

CHARACTERISTICS OF SOURCE SPECTRA OF SMALL AND LARGE INTERMEDIATE DEPTH EARTHQUAKES AROUND HOKKAIDO, JAPAN

Scaling Relationship between the Number of Aftershocks and the Size of the Main

High resolution receiver function imaging of the seismic velocity discontinuities in the crust and the uppermost mantle beneath southwest Japan

Time Rate of Energy Release by Earthquakes in and near Japan

Damage Estimation of the Road Bridge Structure Using the Seismic Hazard map for BCM in Hokkaido, Japan

Tsuneji Rikitake. Earth Planets Space, 51, , 1999

PREDICTION OF STRONG MOTIONS FROM FUTURE EARTHQUAKES CAUSED BY ACTIVE FAULTS CASE OF THE OSAKA BASIN

LETTER Earth Planets Space, 57, , 2005

Earthquakes. Earthquake Magnitudes 10/1/2013. Environmental Geology Chapter 8 Earthquakes and Related Phenomena

EARTHQUAKE EARLY WARNING SYSTEM FOR RAILWAYS AND ITS PERFORMANCE

Magnitude 7.1 SOUTH SANDWICH ISLANDS

GEOPHYSICAL RESEARCH LETTERS, VOL. 31, L19604, doi: /2004gl020366, 2004

LETTER Earth Planets Space, 57, , 2005

INFLUENCE OF PLATE TECTONICS ON LOCATIONS OF GEOTHERMAL FIELDS. Hemendra Acharya Stone Webster Engineering Corporation Boston, MA U.S.A.

Genpatsu-Shinsai: Catastrophic Multiple Disaster of Earthquake and Quake-induced Nuclear Accident Anticipated in the Japanese Islands

Transcription:

Annuals of Disas. Prev. Res. Inst., Kyoto Univ., No. 4C, 25 Historical Maximum Seismic Intensity Maps in Japan from 6 to 24: Construction of Database and Application Masatoshi MIYAZAWA* and Jim MORI * COE Researcher, DPRI, Kyoto University Synopsis We map the recorded maximum seismic intensity for earthquakes in Japan from 6 to September 24 using compiled historical records and Japan Metrological Agency (JMA) intensity data. We used a total of 33 events that had JMA intensity level of 4 or greater. The regions with high intensities are located along the Pacific coast side, reflecting the recurrent large interplate earthquakes. Also onshore, we find patchy high intensity regions due to earthquakes on onshore active faults. During the last 4 years, about % of the regions in Japan have experienced JMA intensity equal to or greater than 5 and 3% of the regions have had intensities equal to or larger than 6. 1. Introduction Keywords: JMA intensity, intensity map Investigations of seismic intensities from historical earthquakes are useful for characterizing the damaging ground motions that have occurred in the past. Past studies have used these data to quantify the level of strong shaking for Japan. Kawasumi (1) used relations between intensity, magnitude, and acceleration to estimate expected maximum acceleration levels across Japan for periods of 5, 1 and 2 years. Kanai and Suzuki (16) in a similar method, estimated peak velocity distributions. Also in a related effort, Wesnousky et al.(14) produced maps of Japan that show the probabilistic occurrence of earthquakes that have intensity equal to or larger than Japan Metrological Agency (JMA) intensity 5, from the distribution of active faults. In this study, we take a simple approach of directly mapping the maximum historical intensity distribution across Japan. We use JMA intensity, as recorded by JMA and interpreted by Usami (23). We make no assumptions about the magnitudeintensity relations or earthquake occurrence models. This approach is one of the most direct ways of looking at the past history of strong shaking across Japan and should show the actual historical intensity, including some local site effects. Since these are the results of the past earthquakes, the distributions will be different from the expected intensities from future earthquakes. However, our results should be useful for comparison with the probabilistic intensity maps for seismic hazard, which are being developed by the Headquarters for Earthquake Research Promotion (23, 24) using recent models of earthquake occurrence and ground motion attenuation relations. Also, these our maps are similar to the results of other intensity studies, such as Usami et al.(1) and Nakamura et al.(22). 2. Data and Methodology We use intensity data for about the past 4 years, from 6 to September 24. Before 126 we refer to

the historical intensities compiled by Usami (23). We choose events which clearly show the distribution of observation locations. Since 126 JMA has consistently recorded intensity distributions, however there has been a recent change in the JMA scale in 16. At that time intensity levels 5 and 6 were both split into 2 levels. Intensity 5 became 5 Lower (5) and 5 Higher (5+) and intensity 6 became 6 Lower (6) and 6 Higher (6+). We transfer the old intensities into the present JMA seismic intensities by assuming a lower estimation, for example the former intensity scales 5 and 6 are converted to 5 and 6, respectively, in present scale. We also interpret the (5, 5+, 6, 6+) designations by Usami (23) for historical earthquakes directly in terms of the new JMA intensities. We use 25 earthquakes which had maximum intensity equal to or larger than 5, for the period from 126 to September 24. Hence, we use a total of 33 events (Table 1 in appendix). The epicenters of the earthquakes used are shown in Fig.1 and histograms of event magnitudes and number of events per 1 years in Fig.2. The locations and magnitudes for historical events are taken from Usami (23). Clearly, for recent times, there are a much large number of earthquakes because of the increased quality of earthquake monitoring in Japan. Fig. 2 Histograms of (a) decadal numbers and (b) magnitude for earthquakes in this study. Fig. 1 Epicenters of earthquakes from 6 to September 24 used in this study. For each event, we construct an intensity distribution, with the following procedure using the available intensity data. We intend to use neither epicentral distance nor magnitude of the earthquake to avoid the specific model dependence. An intensity I(x) at an arbitrary point x (except for the observation point), is given by linearly interpolating the intensities at n surrounding locations nearest to x as n n I x 1 1 ) i1 i j1 j I ( (1) where I i is the recorded intensity at x i and i is distance from x i to x. To remove the probable bias, in which x is not be surrounded by x 1,, x n, which could result in inappropriate interpolations, we use the following condition for the choice of x and x i. For the n observation points located in polar coordinates with origin x and the location of x i characterized by distance i and angle i, the angle between neighboring observation points should be less than. The n observation points are chosen in order of small i, where the maximum angle between i

neighboring observation points takes as small a value as possible. In a schematic diagram shown in Fig. 3, an arbitrary x satisfying this condition is in the shaded region. At point x a in the shaded area, the intensity is calculated, while at x b, outside the shaded region, the intensity is not calculated. Grid points x are taken in 2 4 degree interval in both longitude and latitude. We use n=5 and show JMA intensity level of 4 or greater in the following examples. 5 4 x a x b 5+ Fig. 3 Area in which intensities are calculated. Values of the observed intensities are indicated next to the stations (triangles). At point x a in the shaded area, the intensity is calculated using eq.(1), where the maximum angle between neighboring observation points, is less than. At x b of the intensity is not calculated. 5+ 6+ 4 4 3. Intensity Maps The composite maximum intensity maps are obtained by taking the maximum intensity at every point from the intensity maps of each individual earthquake. The number of observation stations used in this study is 2235 and the locations are indicated by crosses in Fig.4. 3.1 The Maximum Intensity maps Figure 5(a) shows the recorded maximum intensity map for earthquakes from 6 to September 24, which corresponds to a maximum intensity map for 4 years. The color pattern clearly shows the pattern of recorded maximum intensity across Japan. White regions indicate areas where there are incomplete data. Along the Pacific coast from Kyushu to Hokkaido, we find high intensity regions, compared to the Japan Sea coast. This pattern is caused by the large interplate large earthquakes associated with the subduction of the Philippine Sea plate and the Pacific Sea plate. This is more clearly seen in Fig.5(b), which shows the recorded maximum intensity from earthquakes which are thought to have occurred along the plate boundary and within the subducting slabs along the east and south coasts of Japan. Figure 5(b) also indicates that most areas along the Pacific coast side recorded intensities equal to or larger than 5+. Figure 5(c) shows the intensity distribution for all other events, not included in Fig.5(b), such as earthquakes associated with onshore active faults, volcanic events, backarc basin earthquakes, and other events with unknown mechanisms. The patchy high intensity regions due to the events having long recurrence intervals appear all around Japan and are especially prominent around central Japan. The recorded maximum intensity for 1 years (from to 2) is shown in Fig.5(d). Figure 6(a) and (b) are histograms of the areas of different intensitylevels obtained from Fig.5(a) and (d). In the last 4 years in Japan, about % of the regions have recorded intensity equal to or larger than 5 and about 3% of the regions have recorded intensities equal to or larger than 6. In 1 years (1), about 5% regions have experienced intensity equal to or larger than 5. Fig. 4 Locations of 2235 observation stations.

Fig. 5 Recorded maximum intensity maps. (a) 6 to September 24 includes intensities due to all selected earthquakes. (b) Earthquakes in interplate regions and within the subducting slabs. (c) Other events (e.g. earthquakes on onshore active faults, volcanic events, backarc basin earthquakes). (d) to 2.

San yo Shinkansen line in 12 (15 for the westernmost part). Fig. 6 Area distribution of maximum intensity (a) and (b) for Fig.5(a) and (b), respectively. 3.2 Tonankai & Nankai earthquakes During the last 4 years, recurrent great interplate events occurred in the Tonankai and Nankai regions,. In 1 (Hoei) the whole length ruptured in a single earthquake, while in 154 (Ansei), and 144, 146 (Showa) there were two earthquakes that occurred closely together. Figure shows a comparison of the intensity pattern for these 3 sequences. These intensity patterns show that repeats of the same earthquake may produce significantly different patterns of strong shaking. 3.3 The Tokaido and San yo Shinkansen Lines Figure shows the maximum historical intensities along the Tokaido and San yo Shinkansen lines. Most regions along the Tokaido Shinkansen line in the eastern part around from 5.5E to.e, have experienced intensities equal to or larger than 6. Regions along the Sanyo Shinkansen line in western Japan, around from.5e to 5.5E, have experienced intensities of 5+. We showed the differences of intensity maps for 4 and 1 years in Fig.5(a) and (c), however, the Shinkansen lines have actually never experienced such large intensities as shown in Fig. since the Tokaido Shinkansen line was recently established in 164 and the Fig. Comparison of intensity distribution for three Tonankai and Nankai earthquakes.

Fig. Maximum intensity along the Tokaido and San yo Shinkansen lines. 4. Discussion and Conclusions The data for this time period of the last 4 years is thought to be largely complete, but it can be seen that 1 years of observations are not long enough to adequately characterize the seismic history. There may be some problems in these historical intensity maps because it is difficult to recover the actual intensity due to the biases of observation (population) locations, incomplete historical documents, and problems of the interpolation. However, since we do not use any model assumptions (such as, intensity/magnitude relations or distance attenuation relations), these maps may provide one of the most direct results of the record of strong ground motions in Japan over the last 4 years. Acknowledgements This research was supported by the Japanese Ministry of Education, Culture, Sports, Science and Technology (MEXT) 21st Century COE Program for DPRI, Kyoto University (No.1421, Program Leader: Prof. Yoshiaki Kawata). We used JMA intensity catalogues. References The headquarters for earthquake research promotion (23, 24), http://www.jishin.go.jp/main/index.html Kanai, K. and Suzuki, T. (16): Expectancy of the maximum velocity amplitude of earthquake motions at bed rock, Bull. Earthq. Res. Inst., Vol. 46, pp. 663666. Kawasumi, H. (1): Measures of earthquake danger and expectancy of maximum intensity throughout Japan as inferred from the seismic activity in historical times, Bull. Earthq. Res. Inst., Vol. 2, pp. 4642. Nakamura, R., Sugahara, M., Yashiro, K., Usami, T., and Watanabe, T. (22): A role of historical earthquake data on evaluation of seismic hazard, Rekishi Zishin, Vol. 1, pp. 1. (abstract in English) Usami, T. (23): Materials for comprehensive list of destructive earthquakes in Japan, [416]21, 65pp, Univ. Tokyo Press, Tokyo. (in Japanese) Usami, T., Watanabe, T., Yashiro, K., and Nakamura, R. (1): Feature of the distribution of regions with intensity IIIVII based on the historical earthquake data and active fault, Rekishi Zishin, Vol., pp. 3542. (in Japanese) Wesnousky, S.G., Scholz, C.H., Shimazaki, K., and Matsuda, T. (14): Integration of geological and seismological data for the analysis of seismic hazard: a case study of Japan, Bull. Seism. Soc. Am., Vol. 4, No. 2, pp. 6. Appendix1 yyyy/mm/dd 6/1/1 6//5 164/3/1 1662/6/16 1662/1/31 166/1/4 164/6/1 1/4/ 13//31 16/1/1 1/1/2 11//22 131/1/ 151/5/21 163/1/2 166/3/ 16//2 12/6/3 1//2 12//23 Appendix Table 1 Earthquakes magnitude (JMA)..1.25..25 5.6.5.....2 5.25.4..25. 5.25.5.25 5.5. lon. [deg] 5.6 2.5 5 2. 2.6 14.1.6... 14.6.2 142.25 14.5 2.1 141...1 lat. [deg] 36. 34.65 33. 3 31. 34. 4.2 33. 34. 3.6 33.2 3 3. 3 41. 4. 33. 3.35 3. 3 depth [km]

13/2/1 1/6/2 12//1 14//1 //2 12//1 13//1 133/5/2 133// 14/5/ 153/3/ 154// 154//23 154//24 154//26 155/3/1 155// 155// 156//23 15/1/ 15/4/ 15/1/5 12/3/14 1/2/22 1//2 /1/2 14/3/22 14/6/2 14/1/ 14/1/22 15/1/1 16/6/ 16//31 1/1/1 1/2/2 1//5 1//1 1// 1/3/ 1/5/ 1//5 /1/14 /6/24 // //1 14/3/1 14/5/..4 6..25...1 5.25.2 5.25.1 5.25.4.4..1 5.5..2.2 5.56......2. 6... 144.5.5. 5.6.25.2. 6.. 5. 2..5. 142.25 2.5 1. 2.1.5.65 146.... 14.4 144. 14..25 141. 143.3.2.2 141.1.4 143.. 142.5 142.3 14. 3.5 3 3 3.5 3 3.6 3 35.5 3. 3 3 34.5 34. 33. 33.25 35 34.5 35.65 41. 34. 3 34. 35 3 32. 35.6 42.5 3 35.6 3. 3 3.5 3.5 35 3.1 3.3 33.6 33.6 34.1 3. 33. 42.3 2. 4.5 4.6 42. 3 /6/2 //23 1//6 1//14 1/6/ 4/1/ 4/5/23 /6/26 121// 122/4/26 123//1 124/1/ 125/5/23 126/6/ 126//4 126//3 12/3/ 12/3/ 12/3/ 12/3/ 12//6 12/1/ 12/1/1 12/1/1 12/2/ 12/2/2 12/2/2 12/5/21 12/6/1 12/6/3 12//25 12/1/24 12/5/2 12/5/22 12//1 12//2 12//22 /3/3 /3/ /3/ /3/22 /3/2 /5/ /5/1 /5/24 /5/24 /5/2... 3. 4.5 4. 4. 4. 2.5 141. 145.5..6 3.2.1 14.2.5.3.2 4..3.5.3 4.3 4.2 4.2 4.4 142.1 14...5.5 3.2 14. 143.1. 1.2 3.25 2.54 1....5.6..6.1.14.1..5.4.5 34.1 3.5 43. 3 2. 31.6 35 3 36. 3 3 35.5 35.6 33.1 2.3 35.5 35.63 35.53 35.53 34 3. 3 32.16 33 33 34. 35.6 3.31 31. 33.6 34.45 34.5 31.5 3 35.51 33 34.4 34. 34. 3 34. 34. 34. 33 34.1 33 5 1 14 25 35 64 5 45 6 65 5 65 3 2 6 1 1 26

/6/1 /1/1 //26 //21 1/3/4 1/6/1 1//21 1//2 1//21 1//22 1//26 2//26 3/2/6 3/2/ 3/3/3 5// 5//1 5//1 6/1/ 6/2/21 6//3 /1/2 //2 /1/26 /1/ /5/23 //22 //5 //5 //6 /5/1 /5/1 /6/23 141// 141//1 142// 143/3/4 143/3/5 143//1 144// 144// 145/1/ 145/2/1 146//21 14//2 14/6/2 2/3/4 5.5 5.6 4.4 4.4.1 5.5 4.5 4.2....2 14.54 6. 2.3 141.3.4.25 2..4.5.53 142.4 1.3 1.6 142.4 1.3 141.5 3 142..2 142..3 141.5 141.2 142.1 141.65 141.2.5..5.2 2.14 141. 4.14 4.22 4.1 6 3 142. 5 4.1 144.16 32 32 3 34.2 31 35 36 31. 32.4 32.5 32.4 42.35 32.6 32. 3. 3 34.5 33 33 34.52 3.26 32. 3. 32. 33.5 35 3 33 3 33 3.4 3.5 33 35 32. 34 34 35 3 33.5 34. 34. 41. 32.3 24.33 3 41. 54 1 1 1 5 3 2 1 66 1 2 3 1 61 56 5 3 3 3 2 5 33 6 2 2 4 42 1 2 24 54 3//26 /3/ // 161/2/2 162/4/23 162//26 162//3 163/3/2 164/6/16 166/1/23 166/2/ 166/3/ 166/4/5 166/4/ 166/4/1 166/4/1 166/4/1 166/5/2 166//3 16/1/14 16/2/21 16/2/21 16/4/1 16/5/16 16/5/16 16//6 16//21 1/1/1 1/1/21 1//26 11//2 12/2/2 12//4 13/6/1 13/6/1 13/6/24 14/5/ 14// 15/1/23 1/1/14 1/2/2 1/6/ 1/6/2 /1/23 12/3/21 13/5/26 13/1/3.1. 4. 4. 4. 4. 4...... 141.2 4.5 14.5 1. 143..41.3.22.22.22 2.6.32.2.23.25.2.22.2.2.2.2 2.53 143.5 142.5 2.3 142..22 143. 2.3 143. 141.2 141. 145 14 145. 141. 1..25 142.2 142.1.23 142.2 142.6..52 33. 24.5 44.3 31.64 42.46 34. 34.16 31 3.3 32 3 24.24 3 3 33 35 33 3 3 33 32.2 32.2 32.2 4.3 41.42 33.3 41. 2.4 42.3 32. 41.23 33.1 33.2 42. 42. 42.5 34.5 42.4 33. 34. 3.5 3. 34.2 42.42 42. 4.36 34. 6 3 6 33 2 14 34 42 1 3 4 4 5 5 1 6 5 4 4 3 1 5 4 1 4 14

14//6 15/1/4 16//21 16//21 16//22 16//22 1/1/ 1/1/14 1/2/6 1/3/1 1/4/ 1/4/23 1/4/3 1//1 1/3/6 12/2/2 12/6/ 12/1/14 12/1/ 12/1/1 12/1/2 12/1/2 12//1 /1/ /2/ /5/1 // // 14//31 14/1/4 14//2 /1/ /1/1 /5/23 /1/6 /1/1 /1/1 16/3/6 16// 16// 16// 16// 16/1/1 16//3 16//21 1/2/2 1/3/3 5. 6. 4. 3. 6. 4. 4.3 5. 3. 4.4 4.1..2.6 5.5 5.6 5.6 5.5.16 14.16.2.32.2.34 141. 142.3 141. 2.6 141. 141.63. 14.5 14.1.. 3.6 3. 3. 3.4 3.4 3.4 144.36 3.2.1. 14 14.6 143.5 142.31 141.2..3.44.5 14.64 14.65 14.6 141.22 2.1 1.6.6 142..16 32. 3 34. 34.4 34. 34.1 3.3 42.53 36 31. 3 3. 2.3 3 35.6 33 34. 24.42 24.42 24.3 24.46 24.45 24.4 42.2 3.65 24.4 42. 41.6 43.4 43.3 4.43 4.22 34.6 43.64 34. 2.3 2.2 3 3.1 3. 3.6 35.64 31. 31. 3 41.6 34.6 3 3 35 4 44 4 5 56 2 4 6 1 4 6 25 35 24 4 2 4 16 16 3 21 2 1 52 34 3 53 4 1/3/5 1/3/ 1/3/16 1/3/26 1/4/3 1/4/5 1/5/ 1/6/25 1// 1//3 1/2/26 1/3/14 1//21 2/3/3 2/3/3 2/4/1 2/6/3 2/6/ 2/6/ 2/6/2 2//1 2// 2// 2//2 2//2 2//2 2//2 2//21 2//23 2//24 2//24 2//2 2//2 2//2 2//3 2//3 2//3 2//3 2//3 2//3 2//3 2//3 2//4 2//4 2//5 2//16 2//1 4. 5. 5. 5.6 4.5 4.2 4. 5. 4.4 4. 5. 5. 6. 5. 5. 4.6 4. 4..16. 3.36.32.41.31 1.6.63 14..4.14 14.2 14.3 14.3 14.5 5.5.6.16.2.23.25.1.23.25.24 141..26.23.2.3.21.32.41.41.41.2.24.25.26.24.23.14.26.2.24 34.6 34. 34.2 31. 31. 31. 31.4 34.44 33 3. 3. 34.23 34.3 42.52 42. 42.5 35.6 32 32.6 34.23 34.1 34.21 34.42 34.2 34.2 34.2 34.22 33 34.26 34.1 34.36 34.1 34.21 34. 34.3 33. 34.2 34.22 34.21 34.1 34.23, 34.24 34.23 34.23 34.23 34.16 34.2 3 1 3 3 21 66 5 4 4 21 1 16 1 4 6 16 14 1 1 16 1

2//1 2//2 2// 2/1/2 2/1/2 2/1/2 2/1/6 2/1/6 2/1/ 2/1/31 2//14 21/1/2 21/1/4 21/2/ 21/3/24 21/3/26 21/4/3 21//2 21// 21// 22/2/ 22/1/14 22//3 22//4 23/5/26 23//26 23//26 23//26 4.6 4.1 4. 4.5 4.5 4.6 6. 5.6.1.23.22.34.46.44 3.35 3.33 3.31 3 3.6.6..16 2. 2.1.1 141.2..4 141. 142.2 142.14 1. 141.65 141.1 141.1 141.1 34.2 34.3 34.51 2.3 2.41 2.45 3 32 3 34.3 24.4 35 35 34.33 34. 34. 3 3.4 35.54 2.25 3 41. 3. 32.41 3.2 3.43 3.4 3.45 1 22 25 21 6 3 46 46 3 2 24 36 4 53 46 35 2 23//26 23//2 23//26 23//26 24//1 24//5 24//5 5.5. 141.1 141. 144. 143. 142.14 4 3.5 3.46 41. 41.1 3.6 33.3 33.14 14 45 21 4 3 44

6 24 33 126 5 4 125 6 6 125 126 24 25 5 6 5 6 5 2 4 6 4 4 % 5 3% 6 5 2 1 6 24