R E P O R T S rial. Futtire planeta~y accretion models will ha! e to accolmt for this obse~~,ation. T11e real-izatio~l of a variation in Fe Si ratio among the terrestrial planets \I ill also alter the details of our ~nodels of maltia~~ lna~ltle chemistly and core fomlation sce~larios. Models of core formation in the renestrial planets cannot assume bulk C 1 sitlerophile eleinent abu~ldances.Despite the many complexities concerning their initiation and propagation, forest fires exhibit power-law frequency-area statistics over many orders of magnitude. A simple forest fire model, which is an example of self-organized criticslity, exhibits similar behavior. One practical implication of this result is that the frequency-area distribution of small and medium fires can be used to quantify the risk of large fires, as is routinely done for earthquakes.Frequency-size distributions of natural hazards provide i~nportant information 011 calculating risk and are used ill hazard mitigation ( 1 ). R o b~~s t pon.er-la\\ frequent) -size distributions are associated nit11 self-organized critical behavior. Examples of this beha1 ior are fou~ld in a il~ulnber of conlputer models: the sandpile model ( 2 ) . the slider-block model (31, and the forest fir? nod el ( I ) . The slider-block model is considered to be an analog for eal-tilquakes. Earthqualtes exhibit a power-la~v dependence of occurrence fre-~L I U I C~ on ruphlre area and are co~lsidered to be the type esalllple of self-organized critical behavior in nature ( 5 ) . We found that. under a \vide ~a r i e t y of circ~umsta~lces. forest fires exhibit a pon-er-lan dependence of occurrence fi-equencq on burn area over many orders of magnitude and that actual forest fires call be directly associated n-it11 the forest fire nod el. The only previous major application of the forest fire lnodel lvas to epidemics of measles in isolated populations ( 6 ) . The forest fire model consists of randomly planting trees on a square grid at successi\.e
S U M M A R YI n order to understand the underlying physics of distributed seismicity better we have considered a 2-D array of slider blocks connected by springs and interacting via static friction with a surface. There is no driving plate in this model. The time evolution of the system is found from numerical simulations in a cellular automata formulation. Energy is conserved and is the single control parameter. The distribution of energies in the springs is found to obey a modified Maxwell-Boltzmann statistics. It is found that the number-size statistics of clusters of unstable sliding blocks is identical to those in percolation clusters in the site-to-site percolation model. There is a well-defined critical point when unstable blocks become connected across the array. It has been previously suggested that distributed seismicity in a seismic zone is the percolation backbone of a 3-D percolation cluster. The fact that low-level seismicity satisfies the GutenbergRichter frequency-magnitude relation and is nearly constant in time also suggests that this background seismicity is similar to thermally induced noise.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.