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An earthquake swarm occurred in Haulien, Taiwan, from April 7 to August 31, 2021. The epicenters are in the range from 23°47′ N to 24°04′ N and from 121°25′ E to 121°42′ E.  C   q  ( r ) and  C   q  ( t ) are the generalized correlation integral of  r  and  t , respectively. From the events with local magnitudes ≥ 3 and focal depths ≤ 25 km,  C   q  ( r ) is calculated for the epicentral and hypocentral distribution (using the distance between two events,  r ) and  C   q  ( t ) for the time sequence (using the inter-event time between two events,  t ). The multifractal dimension  D   q   (q = 2, 3, …, 15) is the slope of the linear portion of the log–log plots of  C   q  ( r ) versus  r  as well as  C   q  ( t ) versus  t . For the epicentral distribution, the linear pattern is in the range 0.5 ≤ log( r ) ≤ 1.3. The measured values of  D   q   are all smaller than 2 that is the spatial dimension and monotonically decreases with increasing  q . This indicates that the epicentral distribution of the swarm is multifractal. For the hypocentral distribution, a lack of a wide enough linear pattern on the log–log plot makes the hypocentral distribution be not multifractal. For the time sequence, the log–log plot of  C   q  ( t ) versus  t  shows a linear pattern in the range 0.5 ≤ log( t ) ≤ 1.0. The values of  D   q   are all smaller than 1 that is the time dimension and monotonically decreases with increasing  q , thus suggesting multifractality of the time sequence when  t  is shorter than the maximum inter-event time.

Multifractal measures of the 2021 earthquake swarm in Hualien, Taiwan