A major goal of ecology and evolutionary biology is to document and understand biogeographic history: where species existed, when, with what abundance, and why. Towards this goal, different scientific communities have used disparate approaches based on different data types (e.g., DNA data, contemporary specimen records, fossil remnants, etc.). Each data type reflects different historical processes, has different limitations, and varies in resolution--none alone captures the entire biogeographic history. As a consequence, despite continued improvements in data quality and quantity, questions about species past range shifts remain hotly debated. There has recently emerged a community consensus on a need to quantitatively integrate information from disparate data and models to understand historical range dynamics. The objective of this session is to bring together the biogeography community to further progress towards the goal of quantitative integration of evidence through the sharing of recent advances in analyses, data sources, and research findings. We focus in particular on how species ranges expand, contract, or shift in response to climatic changes, as well as responses at the genetic and ecosystem levels. This session highlights recent advances in biogeography that improve understanding about the complex and multi-faceted processes that generate this history. In particular, this session showcases ongoing efforts that focus on: i) the integration of information from multiple sources spanning space and time, ii) the development of robust informatic methods, or iii) uncertainty quantification, or iv) increasing aggregation and open access of high quality paleodata. Addressing questions about the magnitude and rate at which species and ecosystems can move in response to rapid climate change is timely and critical. Advances in quantitative methods and integration of information can help achieve estimates of key parameters such as rates of long distance dispersal, number and size of climatic refugia, speed and consistency of range movement, and coherence of ecological communities in space and time. This session stresses the importance of using evidence from past analogue environments to make inference about the ability of species to move; this in turn has the potential to inform ecological forecasts under different future scenarios.