Akaike H (1974) A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19: 716–723.
Albert PG, Smith VC, Suzui T, McLean D, Tomlinson EL, Miyabuchi Y, Kitaba I, Mark DF, Moriwaki H, SG06 Project Members, Nakagawa T (2019) Geochemical characterization of the Late Quaternary widespread Japanese tephrostratigraphic markers and correlations to the Lake Suigetsu sedimentary archive (SG06 core). Quaternary Geochronology 52: 103–131. https://doi.org/10.1016/j.quageo.2019.01.005
Bear-Crozier AN, Miller V, Newey V, Horspool N, Weber R (2016) Probabilistic volcanic ash hazard analysis (PVAHA) I: development of the VAPAH tool for emulating multi-scale volcanic ash fall. J Appl Volcanol 5: 3. doi: 10.1186/s13617-016-0043-4
Bonadonna C, Connor CB, Houghton BF, Connor L (2005) Probabilistic modeling of tephra dispersal: Hazard assessment of a multiphase rhyolitic eruption at Tarawera, New Zealand. J Geophys Res 110 B03203. doi: 10.1029/2003JB002896
Carey S, Gardner H, Sigurdsson H (1995) The intensity and magnitude of Holocene Plinian eruptions from Mount St. Helens volcano. J Volcanol Geotherm Res 66: 185–202.
Connor CB, Hill BE, Winfrey B, Franklin NM, La Femina PC (2001) Estimation of volcanic hazards from tephra fallout. Nat Hazards Rev 2: 33–42. doi: 10.1061/(ASCE)1527-6988(2001)2:1(33)
Chun J-H, Ikehara K, Han S-J (2004) Evidence in Ulleung Basin cores for a termination II (Penultimate Deglaciation) eruption of the Aso-3 tephra. The Quaternary Res 43(2): 99–112.
ESRI (1998) ESRI Shapefile Technical Description. An ESRI White Paper J-7855 26 pp. https://www.esri.com/library/whitepapers/pdfs/shapefile.pdf. Accessed Jan 8 2020.
ESRI (2016) What is a raster data? https://desktop.arcgis.com/ja/arcmap/10.3/manage-data/raster-and-images/what-is-raster-data.htm. Accessed Jan 8 2020.
Folch A, Costa A, Macedonio G (2009) FALL3D: A computational model for transport and deposition of volcanic ash. Comput Geosci 35: 1334–1342. doi: 10.1016/j.cageo2008.08.008.
Gonzalez-Mellado AO, De la Cruz-Reyna S (2010) A simple semi-empirical approach to model thickness of ash-deposits for different eruption scenarios. Nat Hazards Earth Syst. Sci. 10 2241–2257. doi: 10.5194/nhess-10-2241-2010.
Green RM, Bebbington MS, Jones G, Cronin SJ, Turner MB (2016) Estimation of tephra volumes from sparse and incompletely observed deposit thicknesses. Bull Volcanol 78: 25. doi: 10.1007/s00445-016-1016-5.
Hayakawa Y (1993) A proposal of eruption magnitude scale. Bull Volcanol Soc Jpn 6: 223–226 (in Japanese). https://doi.org/10.18940/kazan.38.6_223.
Hayakawa Y (1995) Characteristics of Japanese Loam, and its eolian origin. Bull Volcanol Soc Jpn 40: 177–190 (in Japanese with English abstract). https://doi.org/10.18940/kazan.40.3_177.
Hayakawa Y, Imura R (1991) Eruptive history of the past 80,000 years of Aso Volcano and the 1989 eruption. Bull Volcanol Soc Jpn 36: 25–35. https://doi.org/10.18940/kazan.36.1_25
Hutchinson MF (1989) A new procedure for gridding elevation and stream line data with automatic removal of spurious pits. J Hydrology 106 211–232. doi: 10.1016/0022-1694(89)90073-5.
Jenkins S, Magill C, McAneney J, Blong R (2012a) Regional ash fall hazard I: a probabilistic assessment methodology. Bull Volcanol 74: 1699–1712. doi: 10.1007/s00445-012-0628-8.
Jenkins S, Magill C, McAneney J, Blong R (2012b) Regional ash fall hazard II: Asia–Pacific modeling results and implications. Bull Volcanol 74:1713–1727 doi: 10.1007/s00445-012-0628-7
Jenkins SF, Magill CR, Blong RJ (2018) Evaluating relative tephra fall hazard and risk in the Asia–Pacific region. Geosphere 14: 492–509. doi:10.1130/GES01549.1.
Kashiwabara M, Hirose Y, Kagawa M, Kan K, Kasugai A, Yamagishi K (1976) The tephras of Yotei volcano – on the pumice-scoria fall deposits and their 14C dating ages. Quat Res (Daiyonki–Kenkyu) 15: 75–86 (in Japanese with English abstract).
Katoh S, Danhara T, Yamashita T, Takemura K, Okada A (1996) Late Quaternary tephra layer derived from Sambe Volcano Discovered in Kobe City, Western Japan. The Quart Res 35: 383–389 (Daiyonki–Kenkyu) (in Japanese with English abstract).
Kiyosugi K, Connor C, Sparks RSJ, Crosweller HS, Brown SK, Siebert L, Wang T, Takarada S (2015) How many explosive eruptions are missing from the geologic record? Analysis of the quaternary record of large magnitude explosive eruptions in Japan. J Appl Volcanol 4: 17. doi: 10.1186/s13617-015-0035-9.
Kuwahara T, Yamazaki, H (2001) Tephrostratigraphy and eruptive history during the last 450,000 years at Osore-zan Volcano, Shimokita peninsula, northeast Japan. Bull Volcanol Soc Jpn 46: 37–52.
Leadbetter MR, Lindgren G, Rootzen H (1983) Extremes and related properties of random sequences and processes. Springer Series in Statics, Springer-Verlag New York Heidelberg Berlin, 336 pp. doi: 10.1007/978-1-4612-5449-2.
Machida H (1964a) Tephrochronological study of Volcano Fuji and Adjacent Areas (part 1). J Geography (Chigaku Zassi) 73: 293–308 (in Japanese with English abstract).
Machida H (1964b) Tephrochronological study of Volcano Fuji and Adjacent Areas (part 2). J Geography (Chigaku Zassi) 73: 337–350 (in Japanese with English abstract).
Machida H, Arai F (2003) Atlas of Japanese tephras. University of Tokyo Press, 276 pp. (in Japanese).
Maeno F, Nagai M, Nakada S, Burden RE, Engwell S, Suzuki Y, Kaneko T (2014) Constraining tephra dispersion from three sub-Plinian explosions in 2011 at Shinmoedake volcano, Kyushu, Japan. Bull Volcanol 76: 823. doi 10.1007/s00445-014-0823-9.
Magill CR, Hurst AW, Hunter LJ, Blong RJ (2006) Probabilistic tephra fall simulation for the Auckland Region, New Zealand. J Volcanol Geotherm Res 153: 370–386. doi: 10.1016/j.jvolgeores.2005.12.002.
Marzocchi W, Sandri L, Selva J (2010) BETVH: a probabilistic tool for long-term volcanic hazard assessment. Bull Volcanol 72: 705–716 doi: 10.1007/s00445-007-0157-y.
McGuire RK (1995) Probabilistic seismic hazard analysis and design earthquakes: Closing the loop. Bull Seismo Soc Am 85: 1275–1284.
Miller V, Bear-Crozier AN, Newey V, Horspool N, Weber R (2016) Probabilistic Volcanic Ash Hazard Analysis (PVAHA) II: assessment of the Asia–Pacific region using VAPAH. J Appl Volcanol 5:4. doi: 10.1186/s13617-016-0044-3.
Morie T, Ozawa H, Okumura K (2001) Description and correlation of the Nagate Tephra found in the terrace deposits at the southern foot of Asan range in Tokushima Prefecture, southwestern Japan. The Quaternary Res 40: 331–336 (in Japanese with English abstract).
Nagahashi Y, Yoshikawa S, Miyakawa C, Uchiyama T, Inouchi Y (2004) Stratigraphy and chronology widespread tephra layers during the past 430 ky in the Kinki district and the Yatsugatake Mountains: Major element composition of the glass shards using EDS analysis. The Quaternary Res 43: 15–35 (in Japanese with English abstract).
Nakada S (2015) Regularity of volcanic eruptions in terms of Volcanic Explosivity Index (VEI). Bull Volcanol. Soc. Jpn 60: 143–150 (in Japanese with English abstract).
Newhall CG, Self S (1982) The volcanic explosivity index (VEI) an estimate of explosive magnitude for historical volcanism. J Geophys Res 87 C2: 1231–1238. doi10.1029/JC087iC02p01231.
Nielsen MA (2011) Parameter Estimation for the Two-Parameter Weibull Distribution. Master thesis of Brigham Young University 99 pp.
Ono K,Watanabe K, Hoshizumi H, Takada H, Ikebe S (1995) Ash eruption of Nakadake Volcano, Aso Caldera, and its products. Bull Volcanol Soc Jpn 40: 133–151. https://doi.org/10.18940/kazan.40.3_133
Pyle DM (1995) Mass and energy budgets of explosive volcanic eruptions. Geophysic Res Let 22: 563–566.
Pyle DM (1998) Forecasting sizes and repose times of future extreme volcanic events. Geology 26: 367–370.
Python Software foundation (2020) Python 3.8.1 documentation. https://docs.python.org/3/. Accessed Jan 8 2020.
The R Project for Statistical Computing (2019). https://www.r-project.org/. Accessed Jan 8 2020.
The SciPy community (2019). https://docs.scipy.org/doc/scipy/reference/index.html#. Accessed Jan 8 2020.
Shimano T, Koyaguchi T (2001) Eruption styles and degassing process of ascending magma of the 1813 eruption of Suwanose-jima Volcano, southwest Japan. Bull Volcanol Soc Jpn 46: 53–70 (in Japanese with English abstract).
Simpson A, Johnson RW, Cummins P (2011) Volcanic threat in developing countries of the Asia–Pacific region: probabilistic hazard assessment, population risks, and information gaps. Nat Hazard 57: 151–165. DOI 10.1007/s11069-010-9601-y.
Stirling MW, Wilson CJN (2002) Development of a volcanic hazard model for New Zealand: First approaches from the methods of probabilistic seismic hazard analysis. Bull NZ Soc Earthq Engineer 35: 266–277.
Sugimura A, Ueda S (1973) Island Arcs: Japan and its environs. Elsevier 247 pp.
Sugiura N (1978) Further analysts of the Akaike’s information criterion and the finite corrections. Commun Stat Theory Method 7(1): 13–26.
Suzuki T (1995) Origin of So-called Volcanic-Ash-Soil: Thickness distribution in and around Central Japan. Bull Volcanol Soc Jpn 40: 167–176. (in Japanese with English abstract). https://doi.org/10.18940/kazan.40.3_167.
Suto S, Inomata T, Sasaki H, Mukoyama S (2007) Data base of the volcanic ash fall distribution map of Japan. Bull Geol Surv Japan 58: 261–321 (in Japanese with English abstract).
Takada A, Yamamoto T, Ishizuka Y, Nakano S (2016) Explanatory text of geological map of Fuji Volcano (Second edition). Geological Survey of Japan, AIST 56 pp.
Takarada S, Oikawa T, Furukawa R, Hoshizumi H, Itoh J, Geshi N, Miyagi I (2016) Estimation of total discharged mass from the phreatic eruption of Ontake Volcano, central Japan, on September 27, 2014. Earth Planets Space 68: 138. doi 10.1186/s40623-016-0511-4.
Tatsumi Y, Suzuki K (2014) Cause and risk of catastrophic eruptions in the Japanese Archipelago. Proc Jpn Acad, Ser B 90: 347–352.
Tsuji T, Ikeda M, Furusawa A, Nakamura C, Ichikawa K, Yanagida N, Ohnishi K, Ohno Y (2018) High resolution record of Quaternary explosive volcanism recorded in fluvio-lacustrine sediments of the Uwa basin, southwest Japan. Quaternary International, 471: 278–297. https://doi.org/10.1016/j.quaint.2017.10.016.
Tsuya H, Machida H, Shimoduru D (1988) Explanatory note for geological map of Mt. Fuji. Second printing. Geological survey of Japan, 22 pp.
Uesawa S, Nakagawa M, Umetsu A (2016) Explosive eruptive activity and temporal magmatic changes at Yotei Volcano during the last 50,000 years, southwest Hokkaido, Japan. J Volcanol Geotherm Res 325: 27–44. doi: 10.1016/j.jvolgeores.2016.06.008.
Wilson G, Wilson TM, Deligne NI, Cole JW (2014) Volcanic hazard impacts to critical infrastructure: A review. J Volcanol Geotherm Res 286: 148–182 doi: 10.1016/j.jvolgeores.201408.030.
Yamamoto T, Nakada S (2014) Extreme Volcanic Risks 2: Mount Fuji. In: Papale P, Shroder JF (eds) Volcanic hazards, risks, and disasters, Hazards and disasters series, Elsevier, 505 pp.
Yamano H, Nishino H, Kurisaka K, Yamamoto T (2018) Development of probabilistic risk assessment methodology against volcanic eruption for sodium-cooled fast reactors. ASCE-ASME J Risk Uncertainty Engineering Systems 4 030902-1–030902-9.
Yang Q, Bursik M (2016) A new interpolation method to model thickness, isopachs, extent, and volume of tephra fall deposits. Bull Volcanol 78:68. doi: 10.1007/s00445-016-1061-0.
Yoshimoto M, Fujii T, Kaneko T, Yasuda A, Nakada S, Matsumoto A (2010) Evolution of Mount Fuji, Japan: Inference from drilling into the subaerial oldest volcano, pre-Komitake. Island Arc 19: 470–488. https://doi.org/10.1111/j.1440-1738.2010.00722.x.
Yoshimoto M, Shimano T, Nakada S, Koyama E, Tsuji H, Iida A, Kurokawa M, Okayama Y, Nonaka M, Kaneko T, Hoshizumi H, Ishizuka Y, Furukawa R, Nogami K, Onizawa S, Niihori K, Sugimoto T, Nagai M (2005) Mass estimation and characteristics of ejecta from the 2004 eruption of Asama Volcano. Bull Volcanol Soc Jpn 50: 519–533. https://doi.org/10.18940/kazan.50.6_519.
Weibull (1952) A statistical distribution function of wide applicability. J. Applied Mechanics 18: 293–297.
Wessel P, Smith W. H. F, Scharroo R, Luis J F, Wobbe F (2013) Generic Mapping Tools: Improved version released. EOS Trans. AGU 94: 409–410 doi.org/10.1002/2013EO450001.