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- Bruce D Malamud, James D A Millington, George L W Perry
- Proceedings of the National Academy of Sciences…
- 2005

Wildfires statistics for the conterminous United States (U.S.) are examined in a spatially and temporally explicit manner. We use a high-resolution data set consisting of 88,916 U.S. Department of Agriculture Forest Service wildfires over the time period 1970-2000 and consider wildfire occurrence as a function of ecoregion (land units classified by climate,… (More)

- Donald L Turcotte, Bruce D Malamud, Fausto Guzzetti, Paola Reichenbach
- Proceedings of the National Academy of Sciences…
- 2002

We consider the frequency-size statistics of two natural hazards, forest fires and landslides. Both appear to satisfy power-law (fractal) distributions to a good approximation under a wide variety of conditions. Two simple cellular-automata models have been proposed as analogs for this observed behavior, the forest fire model for forest fires and the sand… (More)

- M. Ghil, P. Yiou, +5 authors V. Keilis-Borok
- 2011

We review work on extreme events, their causes and consequences, by a group of European and American researchers involved in a three-year project on these topics. The review covers theoretical aspects of time series analysis and of extreme value theory, as well as of the deterministic modeling of extreme events, via continuous and discrete dynamic models.… (More)

- William I Newman, Bruce D Malamud, Donald L Turcotte
- Physical review. E, Statistical, nonlinear, and…
- 2010

A record-breaking temperature is the highest or lowest temperature at a station since the period of time considered began. The temperatures at a station constitute a time series. After the removal of daily and annual periodicities, the primary considerations are trends (i.e., global warming) and long-range correlations. We first carry out Monte Carlo… (More)

- Bruce D. Malamud, Donald L. Turcotte
- Computing in Science and Engineering
- 2000

- James D. A. Millington, John Wainwright, George L. W. Perry, Raul Romero-Calcerrada, Bruce D. Malamud
- Environmental Modelling and Software
- 2009

We present a spatially explicit Landscape Fire-Succession Model (LFSM) developed to represent Mediterranean Basin landscapes and capable of integrating modules and functions that explicitly represent human activity. Plant-functional types are used to represent spatial and temporal competition for resources (water and light) in a rule-based modelling… (More)

- J B Rundle, P B Rundle, +11 authors K F Tiampo
- Proceedings of the National Academy of Sciences…
- 2005

In 1906 the great San Francisco earthquake and fire destroyed much of the city. As we approach the 100-year anniversary of that event, a critical concern is the hazard posed by another such earthquake. In this article, we examine the assumptions presently used to compute the probability of occurrence of these earthquakes. We also present the results of a… (More)

This paper explores log-periodicity in a forest-fire cellular-automata model. At each time step of this model a tree is dropped on a randomly chosen site; if the site is unoccupied, the tree is planted. Then, for a given sparking frequency, matches are dropped on a randomly chosen site; if the site is occupied by a tree, the tree ignites and an… (More)

Frequency-magnitude statistics for natural hazards can greatly help in probabilistic hazard assessments. An example is the case of earthquakes, where the generality of a power-law (fractal) frequency-rupture area correlation is a major feature in seismic risk mapping. Other examples of this power-law frequency-size behaviour are landslides and wildfires. In… (More)

- William I Newman, Donald L Turcotte, Bruce D Malamud
- Physical review. E, Statistical, nonlinear, and…
- 2012

Sixty years ago, it was observed that any independent and identically distributed (i.i.d.) random variable would produce a pattern of peak-to-peak sequences with, on average, three events per sequence. This outcome was employed to show that randomness could yield, as a null hypothesis for animal populations, an explanation for their apparent 3-year cycles.… (More)

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