GMPE compendium by Dr John Douglas, senior lecturer and seismic-hazard consultant in Civil and Environmental Engineering at the University of Strathclyde, UK.

Ground motion prediction equations (GMPEs), also called ground-motion models (GMMs) and attenuation relations, estimate the shaking (strong ground motion) that may occur at a site if an earthquake of a certain magnitude occurs at a nearby location. GMPEs are crucial for engineering seismology and earthquake engineering (branches of civil engineering) as they are used to assess seismic hazard, thereby providing estimates of the loading that a structure may undergo during a future earthquake.

This compendium provides details of models for the intensity measures (IMs) of peak ground acceleration (PGA) and linear elastic response spectral ordinates (acceleration, velocity and displacement). It also provides brief characteristics of models for: peak ground velocity (PGV) and displacement (PGD), Arias intensity (AI), cumulative absolute velocity (CAV), Fourier spectral amplitudes (FSA), maximum absolute unit elastic input energy (IE), inelastic response spectral ordinates (ISO), Japanese Meteorological Agency (JMA) seismic intensity, macroseismic intensity (MI, also called intensity prediction equations), mean period (MP), relative significant duration (RSD) and vertical-to-horizontal response spectral ratio (VH). The focus is on empirical GMPEs, i.e. those derived from recorded strong-motion data, but lists are provided of simulation-based GMPEs as well as models derived in other ways (e.g. hybrid and backbone). GMPEs for both natural (crustal and subduction) and induced/triggered earthquakes are included.

Review articles based on this compendium were published in Earth-Science Reviews in 2003 and 2016. Read a general review of ground-motion prediction.

Read a recent open-access article on "Engineering site response analysis of Anchorage, Alaska, using site amplifications and random vibration theory"

Download the compendium in PDF, access the compendium as a webpage (can be slow) or download an Excel spreadsheet of the tables. Last updated 31 March 2022

Please contact me if a model is missing, if you find an error or you have a comment/suggestion. Thank you.

Download these figures and other introductory material (e.g. some nomograms) on engineering seismology, with citable DOIs.

View an online talk on "Estimating earthquake ground motions: Background, methods and challenges" for the International Network of Algerian Scientists on 20 May 2022.

Download various GMPE-related datasets and the program CHEEP (Composite Hybrid Equation Estimation Program), developed in 2006.

Play a simple earthquake early warning game developed for the H2020 TURNkey project.

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Ground motion prediction equations (1964-2020) is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.