@inbook{HENGL200931,
title = {Chapter 2 Mathematical and Digital Models of the Land Surface},
author = {T. Hengl and I. S. Evans},
editor = {Tomislav Hengl and Hannes I. Reuter},
url = {https://www.sciencedirect.com/science/article/pii/S0166248108000020},
doi = {https://doi.org/10.1016/S0166-2481(08)00002-0},
issn = {0166-2481},
year = {2009},
date = {2009-01-01},
urldate = {2009-01-01},
booktitle = {Geomorphometry},
volume = {33},
pages = {31-63},
publisher = {Elsevier},
chapter = {2},
series = {Developments in Soil Science},
abstract = {This chapter introduces the land-surface concept from both the geodetic and statistical perspectives, and reviews ways to represent it. It also discusses ways of producing models of the land-surface, from sampling procedures to digital elevation model (DEM) gridding techniques. An extensive comparison of the methods used to derive first and second order derivatives from DEMs have been presented. Mathematical models of the land surface have their uses, but it can be dangerous to regard them as being universally applicable, or even as capturing the essence of a real land surface. Understanding the concept of the land surface and its specific properties is a first step toward successful geomorphometric analysis. Ignoring aspects, such as the correct definition of a reference vertical datum, the density and distribution of the initial height observations, and the accuracy of measurement, can lead to serious artefacts and inaccuracies in the outputs of geomorphometric analysis.},
keywords = {cell size and its meaning, conceptual models of the land surface, how to determine a suitable grid resolution for DEMs, how to sample and interpolate heights, land surface and geomorphometric algorithms, land surface from a geodetic perspective, land-surface properties and mathematical models, vector and grid models of the land surface},
pubstate = {published},
tppubtype = {inbook}
}
