Self-affinities of landforms and folds in the Northeast Honshu Arc, Japan

Kazuhei Kikuchi, Kazutoshi Abiko, Hiroyuki Nagahama, Hiroshi Kitazato, Jun Muto

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


A method to analyze self-affinities is introduced and applied to the large scale fold geometries of Quaternary and Tertiary sediments or geographical topographies in the inner belt of the Northeast Honshu Arc, Japan. Based on this analysis, their geometries are self-affine and can be differently scaled in different directions. We recognize a crossover from local to global altitude (vertical) variation of the geometries of folds and topographies. The characteristic length for the crossover of topographies (landforms) is about 25 km and is related to the half wavelength of the crustal buckling folds or possible maximum magnitude of inland earthquakes in the Northeast Honshu Arc. Moreover, self-affinity of the folds and topographies can be connected with the b-value in Gutenberg-Richter°Fs law. We obtain two average Hurst exponents obtained from the self-affinities of folds in the Northeast Honshu Arc. This indicates that there are two possible seismic modes for the smaller and larger ranges in the focal regions in the Northeast Honshu Arc.

Original languageEnglish
Pages (from-to)1642-1658
Number of pages17
JournalActa Geophysica
Issue number6
Publication statusPublished - 2013 Dec


  • Gutenberg-Richter's law
  • Northeast Honshu Arc
  • folds
  • landforms
  • self-affinities

ASJC Scopus subject areas

  • Geophysics


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