TY - JOUR

T1 - Implications of an inverse branching aftershock sequence model

AU - Turcotte, D. L.

AU - Abaimov, S. G.

AU - Dobson, I.

AU - Rundle, J. B.

PY - 2009/1/5

Y1 - 2009/1/5

N2 - The branching aftershock sequence (BASS) model is a self-similar statistical model for earthquake aftershock sequences. A prescribed parent earthquake generates a first generation of daughter aftershocks. The magnitudes and times of occurrence of the daughters are obtained from statistical distributions. The first generation daughter aftershocks then become parent earthquakes that generate second generation aftershocks. The process is then extended to higher generations. The key parameter in the BASS model is the magnitude difference Δ m* between the parent earthquake and the largest expected daughter earthquake. In the application of the BASS model to aftershocks Δ m* is positive, the largest expected daughter event is smaller than the parent, and the sequence of events (aftershocks) usually dies out, but an exponential growth in the number of events with time is also possible. In this paper we explore this behavior of the BASS model as Δ m* varies, including when Δ m* is negative and the largest expected daughter event is larger than the parent. The applications of this self-similar branching process to biology and other fields are discussed.

AB - The branching aftershock sequence (BASS) model is a self-similar statistical model for earthquake aftershock sequences. A prescribed parent earthquake generates a first generation of daughter aftershocks. The magnitudes and times of occurrence of the daughters are obtained from statistical distributions. The first generation daughter aftershocks then become parent earthquakes that generate second generation aftershocks. The process is then extended to higher generations. The key parameter in the BASS model is the magnitude difference Δ m* between the parent earthquake and the largest expected daughter earthquake. In the application of the BASS model to aftershocks Δ m* is positive, the largest expected daughter event is smaller than the parent, and the sequence of events (aftershocks) usually dies out, but an exponential growth in the number of events with time is also possible. In this paper we explore this behavior of the BASS model as Δ m* varies, including when Δ m* is negative and the largest expected daughter event is larger than the parent. The applications of this self-similar branching process to biology and other fields are discussed.

UR - http://www.scopus.com/inward/record.url?scp=58949097011&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.79.016101

DO - 10.1103/PhysRevE.79.016101

M3 - Article

AN - SCOPUS:58949097011

VL - 79

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 1

M1 - 016101

ER -