The aim of this approach is to provide a tool that can inform investigators about the geometry of crime patterns and criminal target search patterns. Combined with psychological and other forms of profiling, this is an important technique that can assist investigators in forming a profile of possible suspects. This chapter focuses on the relationships between the activity space of the serial killer and the hunting pattern. A basic principle followed in this analysis is the "least-effort" principle (Zipf, 1950); all else being equal, a person who is "given various possibilities for action...will select the one requiring the least expenditure of effort" (Reber, 1985). This maxim describes a great deal about human spatial action, but it is important to take into account other factors that play a part in decisionmaking and the selection of behaviors. Income and socioeconomic status also influence spatial behavior, since this can affect transportation opportunities and restrictions. Also, the subjective psychological perception of distance by the offender is just as critical as the objective physical space involved. The most comprehensive spatial model of criminal target selection, which has been developed by Paul and Patricia Brantingham, focuses on the geographic intersection of offender awareness zones, generated from activity spaces, and perceived suitable targets. Their model suggests that most criminal offenders do not choose the sites of their targets or victims at random. This model is consistent with a routine-activities approach to understanding criminal behavior. The final section of this chapter describes techniques of spatial analysis and then provides case examples. 89 references