Aftershocks or swarms indicate increase of the flow intensity in the vicinity of the initial earthquakes. By normalizing their number according to the dynamic range of the standard frequency magnitude distribution the increase or positive aftereffect property of the initial earthquakes can be compared for different magnitude intervals, periods of time or regions. After applying accurate formal algorithm of aftershock identification it is possible to study negative aftereffect of the main events (nonaftershocks) in the catalog. Negative aftereffect means decrease of the probability of successive events in a time-space vicinity of the main event, when the aftershocks are over. The negative effect is the most important part of the seismic cycle and seismic gaps approach. Global statistical test give high confidence level for the relative decrease in intensity of the flow of the events withM≥7 in the first 20–25 years after the events withM≥8 in their 1o-vicinities in the total time period under study of approximately 60 years. The decrease approximates 32% of the undisturbed intensity of the flow ofM>7 events in the vicinities. Self-similar negative aftereffect was observed 3–7 years after 6≤M<7 events, it totals approximately 18% of the undisturbed intensity. Another type of self-similarity of seismic regime, with respect to the negative aftereffect, is the decrease of probabilities of aftershocks with large magnitudes in aftershock sequences. When we have adequate dynamic range in the catalog for the study of this property, for example, for main events withM≥7 in the catalog with low cut-off limitM=4, the statistical significance of the negative aftereffect is clear. However, the absolute value of the effect is also rather small, about 10%, which means that in 90% of the cases the aftershock sequences do not experience lack of energy due to the main shock energy release and follow a standard magnitude distribution for earthquakes in the entire catalog. The small values of the negative aftereffect apparently indicate partial stress relase by earthquakes and may explain short recurrence time intervals after major earthquakes observed periodically in different places.