@article{fdi:010057277,
  title = {{O}n the testing of ground-motion prediction equations against small-magnitude data},
  author = {{B}eauval, {C}{\'e}line and {T}asan, {H}. and {L}aurendeau, {A}. and {D}elavaud, {E}. and {C}otton, {F}. and {G}u{\'e}guen, {P}. and {K}uehn, {N}.},
  editor = {},
  language = {{ENG}},
  abstract = {{G}round-motion prediction equations ({GMPE}) are essential in probabilistic seismic hazard studies for estimating the ground motions generated by the seismic sources. {I}n low-seismicity regions, only weak motions are available during the lifetime of accelerometric networks, and the equations selected for the probabilistic studies are usually models established from foreign data. {A}lthough most {GMPE}s have been developed for magnitudes 5 and above, the minimum magnitude often used in probabilistic studies in low-seismicity regions is smaller. {D}isaggregations have shown that, at return periods of engineering interest, magnitudes less than 5 may be contributing to the hazard. {T}his paper presents the testing of several {GMPE}s selected in current international and national probabilistic projects against weak motions recorded in {F}rance (191 recordings with source-site distances up to 300 km, 3:8 <= {M}-w <= 4:5). {T}he method is based on the log-likelihood value proposed by {S}cherbaum et al. (2009). {T}he best-fitting models (approximately 2:5 <= {LLH} <= 3:5) over the whole frequency range are the {C}auzzi and {F}accioli (2008), {A}kkar and {B}ommer (2010), and {A}brahamson and {S}ilva (2008) models. {N}o significant regional variation of ground motions is highlighted, and the magnitude scaling could be the predominant factor in the control of ground-motion amplitudes. {F}urthermore, we take advantage of a rich {J}apanese dataset to run tests on randomly selected low-magnitude subsets, and confirm that a dataset of similar to 190 observations, the same size as the {F}rench dataset, is large enough to obtain stable {LLH} estimates. {A}dditionally we perform the tests against larger magnitudes (5-7) from the {J}apanese dataset. {T}he ranking of models is partially modified, indicating a magnitude scaling effect for some of the models, and showing that extrapolating testing results obtained from low-magnitude ranges to higher magnitude ranges is not straightforward.},
  keywords = {},
  booktitle = {},
  journal = {{B}ulletin of the {S}eismological {S}ociety of {A}merica},
  volume = {102},
  numero = {5},
  pages = {1994--2007},
  ISSN = {0037-1106},
  year = {2012},
  DOI = {10.1785/0120110271},
  URL = {https://www.documentation.ird.fr/hor/fdi:010057277},
}