8 papers
Self-affine time series: applications and models
Jon D. Pelletier, Donald L. Turcotte
A review paper considering space-time variability of climate, sedimentation, and geomagnetism.
Scale-invariance of soil moisture variability and its implications for the frequency-size distribution of landslides
Jon D. Pelletier
Power spectral analyses of soil moisture variability are carried out from scales of 100 m to 10 km on the microwave remotely-sensed data from the Washita experimental watershed dur…
Statistical analysis and modeling of variations of the earth's magnetic field
Jon D. Pelletier
Power spectral analyses of the dipole moment of the earth's magnetic field inferred from ocean sediment cores and archeomagnetic data from time scales of 100 yr to 4 Myr have been…
Why is topography fractal?
Jon D. Pelletier
The power spectrum S of linear transects of the earth's topography is often observed to be a power-law function of wave number k with exponent close to -2: S(k) is proportional to…
Analysis and modeling of scale-invariance in plankton abundance
Jon D. Pelletier
The power spectrum, , of horizontal transects of plankton abundance are often observed to have a power-law dependence on wavenumber, , with exponent close to -2: $S(k)\propto…
Kardar-Parisi-Zhang model for the fractal structure of cumulus cloud fields
Jon D. Pelletier
We model the ascent of warm, moist air in the Earth's atmosphere by turbulent convection and expansion with the KPZ equation, familiar in the physics literature on surface growth.…