This paper compares different indexing techniques proposed for supporting e
fficient access to temporal data. The comparison is based on a collection o
f important performance criteria, including the space consumed, update proc
essing, and query time for representative queries. The comparison is based
on worst-case analysis, hence no assumptions on data distribution or query
frequencies are made. When a number of methods have the same asymptotic wor
st-case behavior, features in the methods that affect average case behavior
are discussed. Additional criteria examined are the pagination of an index
, the ability to cluster related data together, and the ability to efficien
tly separate old from current data (so that larger archival storage media s
uch as write-once optical disks can be used). The purpose of the paper is t
o identify the difficult problems in accessing temporal data and describe h
ow the different methods aim to solve them. A general lower bound for answe
ring basic temporal queries is also introduced.