Understanding these dynamics poses a critical challenge to paleoecological explanation, because of the broad range of scales at which these dynamics take place and interact.
Spatial patterns are common in nature across a broad range of scales, from body coloration patterns of animals to clustering of vegetation.
Due to their broad range of scales, the simulation of hot spot formation, reaction growth, and transition to detonation is therefore rendered challenging.
The solar wind is a highly turbulent medium, with a high level of field fluctuations throughout a broad range of scales.
Rapidly expanding human activities have profoundly affected various biophysical and biogeochemical processes of the Earth system over a broad range of scales, and freshwater systems are now amongst the most extensively altered ecosystems.
Slope sediments on passive and active margins deform and fail across a broad range of scales ranging from loading and sediment remobilization near the sediment water interface to submarine landslides and mass movements that incorporate significant volumes of slope deposits.
Measures of Personality and Social Psychological Attitudes was enormously successful in providing a concise compendium of a broad range of scales and measures that were extremely useful for social-personality research and assessment.
Rapidly expanding human activities have profoundly affected various biophysical and biogeochemical processes of the Earth system over a broad range of scales, and freshwater systems are now amongst the most extensively altered ecosystems (Postel et al. 1996; Vitousek et al. 1997; Nilsson et al. 2005; Carpenter et al. 2011).
Element based high order methods with Riemann solver based interface numerical flux functions offer an interesting dispersion dissipation behavior for multi-scale problems: dispersion errors are very low for a broad range of scales, while dissipation errors are very low for well resolved scales and are very high for scales close to the Nyquist cutoff.
The opposite scenario is the one in which the same set of environmental predictors can explain variation in assemblages over a broad range of scales (e.g. [18]).
