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Thus, we can write w ( d ) = exp(-α d ) with α = 1 - ν/( L κ- L ). The condition that the fraction of neutral mutants ν/( L κ- L ) is much larger than the total fraction of viable mutants among all possible sequences is crucial for the exponential decay of w ( d ). Consider by contrast the Russian Roulette model by Gavrilets and Gravner [ 40 ] , in which all sequences are randomly assigned a fitness value of either 0 or 1. The total fraction p of viable sequences in this model is equal to the expected fraction of neutral mutants of any sequence with fitness 1, and w ( d ) ≈ p for d > 0 in this model.