  Real-world dynamics running on networks can be characterized in terms of
their respective diversity, or heterogeneity of state values. Spatial networks
can be understood as networks exhibiting limited small world characteristics.
In the present work we argue that network spatiality can enhance the diversity
of respectively unfolding dynamics. This also means that the small world
property tends to reduce diversity. We illustrate this conjecture by simulating
one type of Sznajd dynamics at the transient regime on Watts-Strogatz networks
with varying rewiring levels. The obtained results show a marked reduction of
state diversity as spatiality is replaced by the small world property.
