The selection of sampling sites is one of the major tasks in the design of
a monitoring network. Many environmental networks suffer from either insuff
icient information or redundant information. This study presents a new, eff
ective algorithm that addresses the issues of insufficient and reduction in
formation. The new algorithm is denoted as Multiple-Point Variance Analysis
(MPV). MPV includes both Multiple-Point Variance Reduction Analysis (MPVR)
for adding information-effectives sites, and Multiple-Point Variance Incre
ase Analysis (MPVI) for deleting information-redundant sites. The MPVR and
MPVI equations are verified under two hypothetical cases. The optimal proce
dures of this new algorithm include determination of simultaneous additions
or deletions of groups of sampling points. These proposed optimization pro
cedures eliminate the need for any spatial discretizations or sequential se
lections. The efficiency of these optimal procedures is tested under actual
field conditions. The results show that the optimal MPV is an effective to
ol for adjustment of existing sampling networks.