Cantor set model of eolian dust deposits on desert alluvial fan terraces

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Available data show that eolian dust accumulation rates on desert alluvial fan terraces are often inversely proportional to the square root of the terrace age for a given area. This temporal scaling is similar to that observed in fluvial and marine stratigraphic sequences in which a fractal distribution of hiatuses occurs (i.e., a Cantor set). Eolian dust accumulation on alluvial fan terraces is controlled by regional climatic influences on dust deposition (e.g., dessication of pluvial lakes in the early Holocene) and local surface characteristics (e.g., vegetation and pavement coverage) that control dust preservation. In order to interpret the observed scaling in terms of these relative influences I consider two end-member models: (1) a deterministic model in which dust deposition is controlled by cyclical climatic changes (i.e., glacial-interglacial cycles) and in which no erosion occurs, and (2) a stochastic model in which erosion and deposition take place with equal probability and magnitude during each time step (i.e., a bounded random walk). The observed temporal scaling is most consistent with the bounded random walk model, suggesting that long-term eolian dust accumulation is predominantly controlled by episodic changes in vegetation and pavement coverage over time and that eolian dust deposits are strongly punctuated by episodes of erosional reworking at a wide range of temporal scales.

Original languageEnglish (US)
Pages (from-to)439-442
Number of pages4
JournalGeology
Volume35
Issue number5
DOIs
StatePublished - May 2007

Fingerprint

eolian deposit
alluvial fan
terrace
desert
dust
pavement
erosion
glacial-interglacial cycle
vegetation
reworking
accumulation rate
Holocene
climate change
lake

Keywords

  • Alluvial fan
  • Dust
  • Eolian
  • Mathematical model
  • Soils

ASJC Scopus subject areas

  • Geology

Cite this

Cantor set model of eolian dust deposits on desert alluvial fan terraces. / Pelletier, Jon.

In: Geology, Vol. 35, No. 5, 05.2007, p. 439-442.

Research output: Contribution to journalArticle

@article{bf4ab259be6445b6a0b87a7cffd805ed,
title = "Cantor set model of eolian dust deposits on desert alluvial fan terraces",
abstract = "Available data show that eolian dust accumulation rates on desert alluvial fan terraces are often inversely proportional to the square root of the terrace age for a given area. This temporal scaling is similar to that observed in fluvial and marine stratigraphic sequences in which a fractal distribution of hiatuses occurs (i.e., a Cantor set). Eolian dust accumulation on alluvial fan terraces is controlled by regional climatic influences on dust deposition (e.g., dessication of pluvial lakes in the early Holocene) and local surface characteristics (e.g., vegetation and pavement coverage) that control dust preservation. In order to interpret the observed scaling in terms of these relative influences I consider two end-member models: (1) a deterministic model in which dust deposition is controlled by cyclical climatic changes (i.e., glacial-interglacial cycles) and in which no erosion occurs, and (2) a stochastic model in which erosion and deposition take place with equal probability and magnitude during each time step (i.e., a bounded random walk). The observed temporal scaling is most consistent with the bounded random walk model, suggesting that long-term eolian dust accumulation is predominantly controlled by episodic changes in vegetation and pavement coverage over time and that eolian dust deposits are strongly punctuated by episodes of erosional reworking at a wide range of temporal scales.",
keywords = "Alluvial fan, Dust, Eolian, Mathematical model, Soils",
author = "Jon Pelletier",
year = "2007",
month = "5",
doi = "10.1130/G23367A.1",
language = "English (US)",
volume = "35",
pages = "439--442",
journal = "Geology",
issn = "0091-7613",
publisher = "Geological Society of America",
number = "5",

}

TY - JOUR

T1 - Cantor set model of eolian dust deposits on desert alluvial fan terraces

AU - Pelletier, Jon

PY - 2007/5

Y1 - 2007/5

N2 - Available data show that eolian dust accumulation rates on desert alluvial fan terraces are often inversely proportional to the square root of the terrace age for a given area. This temporal scaling is similar to that observed in fluvial and marine stratigraphic sequences in which a fractal distribution of hiatuses occurs (i.e., a Cantor set). Eolian dust accumulation on alluvial fan terraces is controlled by regional climatic influences on dust deposition (e.g., dessication of pluvial lakes in the early Holocene) and local surface characteristics (e.g., vegetation and pavement coverage) that control dust preservation. In order to interpret the observed scaling in terms of these relative influences I consider two end-member models: (1) a deterministic model in which dust deposition is controlled by cyclical climatic changes (i.e., glacial-interglacial cycles) and in which no erosion occurs, and (2) a stochastic model in which erosion and deposition take place with equal probability and magnitude during each time step (i.e., a bounded random walk). The observed temporal scaling is most consistent with the bounded random walk model, suggesting that long-term eolian dust accumulation is predominantly controlled by episodic changes in vegetation and pavement coverage over time and that eolian dust deposits are strongly punctuated by episodes of erosional reworking at a wide range of temporal scales.

AB - Available data show that eolian dust accumulation rates on desert alluvial fan terraces are often inversely proportional to the square root of the terrace age for a given area. This temporal scaling is similar to that observed in fluvial and marine stratigraphic sequences in which a fractal distribution of hiatuses occurs (i.e., a Cantor set). Eolian dust accumulation on alluvial fan terraces is controlled by regional climatic influences on dust deposition (e.g., dessication of pluvial lakes in the early Holocene) and local surface characteristics (e.g., vegetation and pavement coverage) that control dust preservation. In order to interpret the observed scaling in terms of these relative influences I consider two end-member models: (1) a deterministic model in which dust deposition is controlled by cyclical climatic changes (i.e., glacial-interglacial cycles) and in which no erosion occurs, and (2) a stochastic model in which erosion and deposition take place with equal probability and magnitude during each time step (i.e., a bounded random walk). The observed temporal scaling is most consistent with the bounded random walk model, suggesting that long-term eolian dust accumulation is predominantly controlled by episodic changes in vegetation and pavement coverage over time and that eolian dust deposits are strongly punctuated by episodes of erosional reworking at a wide range of temporal scales.

KW - Alluvial fan

KW - Dust

KW - Eolian

KW - Mathematical model

KW - Soils

UR - http://www.scopus.com/inward/record.url?scp=34248531255&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34248531255&partnerID=8YFLogxK

U2 - 10.1130/G23367A.1

DO - 10.1130/G23367A.1

M3 - Article

AN - SCOPUS:34248531255

VL - 35

SP - 439

EP - 442

JO - Geology

JF - Geology

SN - 0091-7613

IS - 5

ER -