A number of reviews of GMPEs have been made in the past that provide a good summary of the methods used, the
results obtained and the problems associated with such relations. Trifunac and Brady (1975a, 1976) provide a brief
summary and comparison of published relations. McGuire (1976) lists numerous early relations. Idriss (1978) presents a
comprehensive review of published attenuation relations up until 1978, including a number which are not easily available
elsewhere. Hays (1980) presents a good summary of ground-motion estimation procedures up to 1980. Boore and
Joyner (1982) provide a review of attenuation studies published in 1981 and they comment on empirical
prediction of strong ground motion in general. Campbell (1985) contains a full survey of attenuation
equations up until 1985. Joyner and Boore (1988) give an excellent analysis of ground motion prediction
methodology in general, and attenuation relations in particular; Joyner and Boore (1996) update this
by including more recent studies. Ambraseys and Bommer (1995) provide an overview of relations that
are used for seismic design in Europe although they do not provide details about methods used. Recent
reviews include those by Campbell (2003c,a) and Bozorgnia and Campbell (2004a), which provide the
coefficients for a number of commonly-used equations for peak ground acceleration and spectral ordinates, and
Douglas (2003). Bommer (2006) discusses some pressing problems in the field of empirical ground-motion
estimation. The International Institute of Seismology and Earthquake Engineering provides a useful online
http://iisee.kenken.go.jp/eqflow/reference/Start.htm summarising a number of GMPEs (particularly those from Japan) and providing coefficients and an Excel spreadsheet for their evaluation. A recent discussion of current and future trends in ground-motion prediction is provided by Douglas and Edwards (2016).
Summaries and reviews of published ground-motion models for the estimation of strong-motion parameters other than PGA and elastic response spectral ordinates are available1. For example: Bommer and Martínez-Pereira (1999), Alarcón (2007) and Bommer et al. (2009) review predictive equations for strong-motion duration; Tromans (2004) summarizes equations for the prediction of PGV and displacement (PGD); Bommer and Alarcón (2006) provide a more recent review of GMPEs for PGV; Hancock and Bommer (2005) discuss available equations for estimating number of effective cycles; Stafford et al. (2009) briefly review GMPEs for Arias intensity; and Rathje et al. (2004) summarize the few equations published for the prediction of frequency-content parameters (e.g. predominant frequency).
1Note that a number of the models summarized in this report also provide coefficients for peak ground velocity (PGV).