Recent advances in mapping technologies are providing unprecedented volumes of earth data at increasingly higher temporal and spatial resolutions. This talk will focus on robust analytical and modeling tools for transforming these data into information needed to address real-world problems. Analysis and visualization of surfaces derived from multitemporal lidar and structure-from-motion data using multivariate splines will be presented, followed by application of stochastic computational approaches to modeling transport of water and soil over complex, high resolution surfaces. To facilitate intuitive modeling and collaborative problem solving using 3D physical models Immersive Tangible Landscape will be introduced. Many of these ideas find their roots in pioneering work of Waldo Tobler on dynamic surfaces and flows and his groundbreaking contributions to computational geography.