This Manual presents a variety of methods to estimate fertility and mortality from census and survey data. The manual combines theoretical exposition with non-technical, do-it-yourself instructions so all the methods can be employed by persons with limited expertise in demography. Examples of actual application of the most important methods are also provided. Manual IV is closely related to other manuals in this cluster, in particular Manuals II and X as well as to Manual III and the publications on stable population and model life tables in the cluster Demographic models.