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We introduce the standard distribution width of fitness to characterize theglobal and individual features of a ecosystem in the Bak-Sneppen evolutionmodel. Through tracking this quantity in evolution, a different hierarchy ofavalanche dynamics, $w_{0}$ avalanche is observed. The corresponding gapequation and the self-organized threshold $w_{c}$ are obtained. The criticalexponents $\tau ,$ $\gamma $and $\rho $, which describe the behavior of theavalanche size distribution, the average avalanche size and the relaxation toattractor, respectively, are calculated with numerical simulation. The exactmaster equation and $\gamma $ equation are derived. And the scaling relationsare established among the critical exponents of this new avalanche.Comment: 14 pages, 3 figure

Avalanche dynamics in the Bak Sneppen evolution model observed with a standard distribution width of fitness