Sequence stratigraphy has been applied in a wide range of scales of time and space, from decimeter-thick layers formed within
hours to kilometer-thick basin fills formed during hundreds of millions of years. The traditional approach to practice sequence
stratigraphy in this wide range of scales is to subdivide the sediment piles into an ordered hierarchy of sequence cycles
of different duration and different architecture. An alternative are scale-invariant models with fractal characteristics.
Published data confirm two predictions of the ordered-hierarchy model: sequences of very short duration (<1 × 103 years) are parasequences bounded by flooding surfaces, very long sequences (>200 × 106 years) are symmetrical transgressive–regressive cycles. However, the sequence record in the range of 1 × 104–200 × 106 years, the principal domain of sequence stratigraphy, shows a rather irregular succession of sequences with variable symmetry
and bounded by flooding surfaces or exposure surfaces. For these time scales, scale-invariant models are a good first approximation,
particularly because the evidence for scale-invariance and randomness in the stratigraphic record is strong: Frequency spectra
of sea-level change as well as rates of sedimentation and rates of accommodation change plotted against length of observation
span show basic trends indistinguishable from random walk. These trends, combined with scale-invariant sequence models may
be the most efficient tools for across-the-board predictions on sequences and for locating islands of order in the sequence
record.
Keywords Sequence stratigraphy - Sequence orders - Sedimentation rate - Sea level - Fractal