Skip to main content
Log in

Probabilities of future VEI ≥ 2 eruptions at the Central American Volcanic Arc: a statistical perspective based on the past centuries’ eruption record

  • Original Paper
  • Published:
International Journal of Earth Sciences Aims and scope Submit manuscript

Abstract

A probabilistic eruption forecast is provided for seven historically active volcanoes along the Central American Volcanic Arc (CAVA), as a pivotal empirical contribution to multi-disciplinary volcanic hazards assessment. The eruption probabilities are determined with a Kaplan–Meier estimator of survival functions, and parametric time series models are applied to describe the historical eruption records. Aside from the volcanoes that are currently in a state of eruptive activity (Santa María, Fuego, and Arenal), the highest probabilities for eruptions of VEI ≥ 2 occur at Concepción and Cerro Negro in Nicaragua, which are likely to erupt to 70–85 % within the next 10 years. Poás and Irazú in Costa Rica show a medium to high eruption probability, followed by San Miguel (El Salvador), Rincón de la Vieja (Costa Rica), and Izalco (El Salvador; 24 % within the next 10 years).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  • Aalen OO, Johansen S (1978) An empirical transition matrix for non-homogeneous Markov chains based on censored observations. Skand J Stat 5:141–150

    Google Scholar 

  • Akaike H (1973) Information theory and an extension of the maximum likelihood principle. In: Petrov BN, Csaki F (eds) Second international symposium on information theory. Akademiai Kiado, Budapest, pp 267–281

    Google Scholar 

  • Anderson TW, Darling DA (1952) Asymptotic theory of certain “goodness of fit” criteria based on stochastic processes. Ann Math Stat 23(2):193–212

    Article  Google Scholar 

  • Bebbington MS (2007) Identifying volcanic regimes using Hidden Markov Models. Geophys J Int 171:921–942. doi:10.1111/j.1365-246X.2007.03559.x

    Article  Google Scholar 

  • Bice DC (1985) Quaternary volcanic stratigraphy of Managua, Nicaragua: correlation and source assignment for multiple overlapping plinian deposits. Geol Soc Am Bull 96:553–566

    Article  Google Scholar 

  • Borgia A, van Wyk de Vries B (2003) The volcano-tectonic evolution of Concepción, Nicaragua. Bull Volcanol 65:248–265

    Article  Google Scholar 

  • Breslow NE, Crowley J (1974) A large sample study of the life table and product limit estimates under random censorship. Ann Stat 2:437–453

    Article  Google Scholar 

  • Carr MJ, Pointier NK (1981) Evolution of a young parasitic cone towards a mature central vent; Izalco and Santa Ana volcanoes in El Salvador, Central America. J Volcanol Geotherm Res 11:277–292

    Article  Google Scholar 

  • Cartagena R, Olmos R, López DL, Soriano T, Barahona F, Hernández PA, Pérez NM (2004) Diffuse soil degassing of carbon dioxide, radon, and mercury at San Miguel volcano, El Salvador. In: Rose WI, Bommer JJ, López DL, Carr MJ, Major JJ (eds) Natural hazards in El Salvador, Geol Soc Amer Spec Pap 375:203–212

  • Chesner CA, Pullinger CR, Escobar CD (2004) Physical and chemical evolution of San Miguel volcano, El Salvador. In: Rose WI, Bommer JJ, López DL, Carr MJ, Major JJ (eds) Natural hazards in El Salvador, Geol Soc Amer Spec Pap 375:213–226

  • Clark SK, Reagan MK, Trimble DA (2006) Tephra deposits for the past 2600 years from Irazú volcano, Costa Rica. In: Rose WI, Bluth GJS, Carr MJ, Ewert JW, Patino LC, Vallance JW (eds) Volcanic hazards in Central America, Geol Soc Amer Spec Pap 412:225–234

  • Collett D (2003) Modelling survival data in medical research. Boca Raton

  • Connor CB, Hill BE, Winfrey B, Franklin NM, La Femina PC (2001) Estimation of volcanic hazards related to tephra fallout. Nat Haz Rev 2:33–42

    Article  Google Scholar 

  • Connor CB, Sparks RSJ, Mason RM, Bonadonna C (2003) Exploring links between physical and probabilistic models of volcanic eruptions: the Soufrière Hills Volcano, Montserrat. Geophys Res Let 30/13:1701. doi:10.1029/2003GL017384

  • De la Cruz-Reyna S (1996) Long-term probabilistic analysis of future explosive eruptions. In: Scarpa R, Tilling RI (eds) Monitoring and mitigation of volcanic hazards. Springer, Berlin

    Google Scholar 

  • Dzierma Y, Wehrmann H (2010a) Statistical eruption forecast for the Chilean Southern Volcanic Zone: typical frequencies of volcanic eruptions as baseline for possibly enhanced activity following the large 2010 Concepción earthquake. Nat Haz Earth Sys Sci 10:2093–2108. doi:10.5194/nhess-10-2093-2010

    Article  Google Scholar 

  • Dzierma Y, Wehrmann H (2010b) Eruption time series statistically examined: probabilities of future eruptions at Villarrica and Llaima Volcanoes, Southern Volcanic Zone, Chile. J Volcanol Geotherm Res 193:82–92. doi:10.1016/j.volgeores.2010.03.009

    Article  Google Scholar 

  • Freundt A, Kutterolf S, Schmincke HU, Hansteen T, Wehrmann H, Pérez W, Strauch W, Navarro M (2006) Volcanic hazards in Nicaragua: Past, present, and future. In: Rose WI, Bluth GJS, Carr MJ, Ewert JW, Patino LC, Vallance JW (eds) Volcanic hazards in Central America. Geol Soc Am Spec Pap 412:141–165

  • Gibbons JP (1976) Nonparametric method for quantitative analysis. Holt, Rinehart and Winston, New York

    Google Scholar 

  • Greenwood M (1926) The errors of sampling of the survivorship tables. Reports on public health and statistical subjects 33, App 1, HMSO, London

  • Hill BE, Conner CB, Jarzemba MS, La Femina PC, Navarro M, Strauch W (1998) 1995 eruptions of Cerro Negro volcano, Nicaragua, and risk assessment for future eruptions. Geol Soc Amer Bull 110:1231–1241

    Article  Google Scholar 

  • Hilton DR, Fischer TP, Marty B (2002) Noble gases and volatile recycling at subduction zones. Rev Miner Geochem 47:319–370. doi:10.2138/rmg.2002.47.9

    Article  Google Scholar 

  • Kaplan EL, Meier P (1958) Nonparametric estimation from incomplete observations. J Am Stat Assoc 53:457–481

    Article  Google Scholar 

  • Kempter K, Benner SG, Williams SN (1996) Rincón de la Vieja, Guanacaste province, Costa Rica: geology of the southwestern flank and hazard implications. J Volcanol Geotherm Res 71:109–127

    Article  Google Scholar 

  • Klein FW (1982) Patterns of historical eruptions at Hawaiian volcanoes. J Volcanol Geotherm Res 12:1–35

    Article  Google Scholar 

  • Kutterolf S, Freundt A, Pérez W (2008) The Pacific offshore record of Plinian arc volcanism in Central America, part 2: Tephra volumes and erupted masses. Geochem Geophys Geosyst. 9/2, Q02S02. doi:10.1029/2007GC001791

  • La Femina PC, Conner CB, Hill BE, Strauch W, Armando Saballos J (2004) Magma-tectonic interactions in Nicaragua: the 1999 seismic swarm and eruption of Cerro Negro volcano. J Volcanol Geotherm Res 137:187–199

    Article  Google Scholar 

  • Major JJ, Schilling SP, Pullinger CR, Escobar CD (2004) Debris-flow hazards at San Salvador, San Vicente, and San Miguel volcanoes, El Salvador. In: Rose WI, Bommer JJ, López DL, Carr MJ, Major JJ (eds) Natural hazards in El Salvador. Geol Soc Am Spec Pap 375:89–108

  • Marshall AW, Olkin I (2007) Life distributions: structure of non-parametric, semiparametric, and parametric families, Springer Series in Statistics

  • Martínez M, Fernandez E, Valdes J, Barboza V, van der Laat R, Duarte E, Malavassi E, Sandoval L, Barquero J, Marino T (2000) Chemical evolution and volcanic activity of the active crater lake of Poás Volcano, Costa Rica, 1993–1997. J Volcanol Geotherm Res 97:127–141

    Article  Google Scholar 

  • Meier P (1975) Estimation of a distribution function from incomplete observations. In: Gani J (ed) Perspectives in probabilities and statistics. Academic Press, London, pp 67–87

    Google Scholar 

  • Mendoza-Rosas AT, De la Cruz-Reyna S (2008) A statistical method linking geological and historical eruption time series for volcanic hazard estimations: application to active polygenetic volcanoes. J Volcanol Geotherm Res 176:277–290. doi:10.1016/j.volgeores.2008.04.005

    Article  Google Scholar 

  • Meyer-Abich H (1956a) La erupción del volcán de Izalco (El Salvador) del 20 de febrero de 1955 y su actividad hasta principios de 1956. Anales del Servicio Geológico Nacional de El Salvador, Bol 2:3–18

    Google Scholar 

  • Meyer-Abich H (1956b) Los volcanes activos de Guatemala y El Salvador, (America Central). Anales del Servicio Geológico Nacional de El Salvador, Bol. 3, 102 p

  • 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

    Article  Google Scholar 

  • Pérez W, Freundt A (2006) The youngest highly explosive basaltic eruptions from Masaya Caldera (Nicaragua): stratigraphy and hazard assessment. In: Rose WI, Bluth GJS, Carr MJ, Ewert JW, Patino LC, Vallance JW (eds) Volcanic Hazards in Central America. Geol Soc Am Spec Pap 412:189–207

  • Reagan M, Duarte MK, Soto GJ, Fernández E (2006) The eruptive history of Turrialba volcano, Costa Rica, and potential hazards from future eruptions. In: Rose WI, Bluth GJS, Carr MJ, Ewert JW, Patino LC, Vallance JW (eds) Volcanic hazards in Central America. Geol Soc Am Spec Pub 412:235–257

  • Roggensack K (2001) Sizing up crystals and their melt inclusions: a new approach to crystallization studies. Earth Planet Sci Let 187(1–2):221–237

    Article  Google Scholar 

  • Rymer H, Cassidy J, Locke CA, Barboza MV, Barquero J, Brenes J, van der Laat R (2000) Geophysical studies of the recent 15-year eruptive cycle at Poás Volcano, Costa Rica. J Volcanol Geotherm Res 97:425–442

    Article  Google Scholar 

  • Sadofsky SJ, Portnyagin MV, Hoernle K, van den Bogaard P (2008) Subduction cycling of volatile and trace elements through the Central American Volcanic Arc: evidence from melt inclusions. Contrib Min Pet 155(4):433–456. doi:10.1007/s00410-007-0251-3

    Article  Google Scholar 

  • Salazar JML, Hernández PA, Pérez NM, Olmos R, Barahona F, Catragena R, Soriano T, López DL, Sumino H, Notsu K (2004) Spatial and temporal variations of diffusive CO2 degassing at Santa Ana-Izalco-Coatepeque volcanic complex, El Salvador, Central America. In: Rose WI, Bommer JJ, López DL, Carr MJ, Major JJ (eds) Natural hazards in El Salvador. Geol Soc Am Spec Pap 375:135–146

  • Schwarz G (1978) Estimating the dimension of a model. Ann Stat 6:461–464

    Article  Google Scholar 

  • Siebert L, Simkin T (2002–) Volcanoes of the world: an illustrated catalog of Holocene volcanoes and their eruptions. Smithsonian Institution, Global Volcanism Program, Digital Information Series, GVP-3, http://www.volcano.si.edu/world/. Access 2011

  • Simkin T, Siebert L (1994) Volcanoes of the world, 2nd edn. Geosciences Press, Tucson

    Google Scholar 

  • Soto GJ, Alvarado GE, Goold S (2003) Erupciones < 3800 a.P. del Volcán Rincón de la Vieja, Costa Rica. Rev Geol Amer Central 29:67–86

    Google Scholar 

  • Stine CM, Banks NG (1991) Costa Rica volcano profile. USGS open file report 91-591

  • Turner MB, Cronin SJ, Bebbington MS, Platz T (2008) Developing probabilistic eruption forecast for dormant volcanoes: a case study from Mt Taranaki, New Zealand. Bull Volcanol 70:507–515. doi:10.1007/s00445-007-0151-4

    Article  Google Scholar 

  • Vallance JW, Schilling SP, Devoli G, Howell MM (2001) Lahar hazards at Concepción volcano, Nicaragua. US Geol Surv Open File Rpt 01–457:1–33

    Google Scholar 

  • Wehrmann H, Dzierma Y (2011) Applicability of statistical eruption analysis to the geological record of Villarrica and Lanín volcanoes, Southern Volcanic Zone, Chile. J Volcanol Geotherm Res 200:99–115

    Article  Google Scholar 

  • Wehrmann H, Bonadonna C, Freundt A, Houghton BF, Kutterolf S (2006) Fontana Tephra: a basaltic plinian eruption in Central Nicaragua. In: Rose WI, Bluth GJS, Carr MJ, Ewert JW, Patino LC, Vallance JW (eds) Volcanic hazards in Central America. Geol Soc Am spec pap 412:209–223. doi:10.113/2006.2412(11)

  • Wehrmann H, Hoernle K, Portnyagin M, Wiedenbeck M, Heydolph K (2011) Volcanic CO2 output at the Central American subduction zone inferred from melt inclusions in olivine crystals from mafic tephras. Geochem Geophys Geosyst 12(6):Q06003. doi:10.1029/2010GC003412

    Article  Google Scholar 

  • Williams SN (1983) Plinian airfall deposits of basaltic composition. Geology 11:211–214

    Article  Google Scholar 

Download references

Acknowledgments

We sincerely thank Joan Martí and Servando De la Cruz-Reyna for detailed and constructive reviews that have greatly improved the clarity of this paper. We would also like to thank Ralf Halama for useful comments and for the editorial handling of the manuscript. An anonymous reviewer provided comments on an earlier version. This paper is contribution No. 220 of Sonderforschungsbereich (SFB) 574 at the University of Kiel, Germany, funded by the German Research Foundation.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Heidi Wehrmann.

Electronic supplementary material

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dzierma, Y., Wehrmann, H. Probabilities of future VEI ≥ 2 eruptions at the Central American Volcanic Arc: a statistical perspective based on the past centuries’ eruption record. Int J Earth Sci (Geol Rundsch) 103, 2029–2042 (2014). https://doi.org/10.1007/s00531-012-0803-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00531-012-0803-2

Keywords

Navigation