How may state and local rules be more stringent?

In what ways may state and local rules be more stringent? Does this document (General Risk Management Program Guidance) provide guidance on state and local differences?

States and localities may impose more detailed requirements, such as requiring more documentation or more frequent reporting, specifying hours of training or maintenance schedules, imposing equipment requirements or call for additional analyses. Some states and localities are likely to cover at least some additional chemicals and may use lower thresholds. This document does not cover these differences.