Problem tree analysis is a tool that helps illustrate the relationships between complex issues by organizing them hierarchically. It is used to link various factors that may contribute to an institutional problem, identify the underlying root causes of an issue, and distinguish between effects and their deeper causes. The process involves selecting a focal problem, then developing a tree structure with the direct and substantial causes branching down from the problem, and effects branching above. This helps guide advisers to prioritize addressing the critical underlying issues.