Statistical modeling of the long-range dependent structure of barrier island framework geology and surface geomorphology

Abstract

33Shorelines exhibit long-range dependence (LRD) and have been shown in some environments to 34 be described in the wavenumber domain by a power law characteristic of scale-independence. 35Recent evidence suggests that the geomorphology of barrier islands can, however, exhibit scale-36 dependence as a result of systematic variations of the underlying framework geology. The LRD of 37 framework geology, which influences island geomorphology and its response to storms and sea 38 level rise, has not been previously examined. Electromagnetic induction (EMI) surveys conducted 39 along Padre Island National Seashore (PAIS), Texas, USA, reveal that the EMI apparent 40 conductivity σa signal and, by inference, the framework geology exhibits LRD at scales up to 10

Bayesian semiparametric long memory models for discretized event data

“…In the context of event data, exponential inter-event times are routinely assumed for mathematical and computational simplicity. However, many naturally occurring events, such as earthquakes (Ogata and Abe, 1991)), landscape evolution (Weymer et al, 2018)), and human brain activity (Tagliazucchi et al, 2013)), have been shown not to follow such patterns. We are also interested in identifying time periods when birds are more likely to sing and recovering groups of bird species that have similar singing patterns.…”