“…Interval is a fundamental data type for temporal, spatial, and scientific databases that are essential to solve the problem of representing temporal knowledge and reasoning arising in a wide range of disciplines [6][7][8][9], especially in computer science and geoinformatics [10,11]. Since the 1990s, research on interval data management has made significant progress in various aspects and many remarkable results have been reported, however, many challenges in this filed still remain [8,9,12,13]. According to the reference [8], the existing interval indexes, including the Time Index [14], Segment R-tree [15], PR-tree [16], Interval B-Tree [17], Snapshot index [18], Fully Persistent B + -tree [19,20], RI-tree [21,22], TD-Tree [8], TB-Tree [9], and the SHB + -tree [23], etc.…”