The seismic risk assessment of spatially distributed assets requires a seismic hazard that
considers the spatial correlations of earthquake intensity measures (IMs). Several spatial
correlation models have been developed to address this concern, but the majority of existing models are based on the hypothesis of isotropy. Recent investigations revealed that the
assumption of isotropy is not generally valid, and the anisotropy condition should be taken
into account when considering the spatial correlations of earthquake IMs. On the other
hand, it is necessary to investigate the significance of the inclusion of anisotropy in seismic
risk and resiliency assessment. The main objective of the current study is to address this
issue using three different spatial correlation models. Two of them are based on the linear
model of coregionalization method, which describes the spatial correlation of earthquake
IMs from the isotropy point of view. The third model is based on the latent dimensions
method, which can take the anisotropy into account. The results of the current study reveal
that the ignorance of anisotropy of spatial correlations of earthquake IMs causes unrealistic
loss estimation and leads to inaccurate resilience assessment of spatially distributed assets
and systems. It is demonstrated specifically that the isotropic models generally overestimate the infrequent loss values which is on the safe side, but underestimate the frequent
loss values that is non-conservative.