Predictive spatial modeling
Introduction
pedometric mapping or statistical soil mapping is the data-driven generation of maps of soil classes and properties that is based on the use of statistical methods. Its main objectives are to predict the values of some soil variable in unobservable places and access the uncertainty of that estimate using statistical inference, that is, statistically optimal approaches. From the application point of view, its main objective is to accurately predict the response of a soil-plant ecosystem to various soil management strategies, that is, to generate maps of soil properties and classes that can be used for other environmental models and decision making. It is largely based on geostatistical application in soil science and other statistical methods used in pedometry.
Although pedometric mapping is primarily data-driven, it can also rely heavily on expert knowledge, which however must be used within a pedometric computational framework to produce more accurate prediction models. For example, data assimilation techniques such as the space-time Kalman filter can be used to integrate pedogenetic knowledge and field observations.
In the context of information theory, pedometric mapping is used to describe the spatial complexity of soils (information content of soil variables in a geographic area), and to represent this complexity using maps, summary measurements, mathematical models, and simulations. Simulations are a preferred way to visualize soil patterns, as they represent its deterministic pattern (due to the landscape), geographic hotspots, and short-range variability.[1].
Pedometry
Pedometry is the application of mathematical and statistical methods to the study of the distribution and genesis of soils.
The term is a portmanteau of the Greek roots pedos (ground) and metron (measurement). Measurement, in this case, is restricted to mathematical and statistical methods related to pedology, the branch of soil science that studies soil in its natural environment.[2].
Pedometry addresses soil-related problems when uncertainty exists due to deterministic or stochastic variation, vagueness, and lack of knowledge of soil properties and processes. It is based on mathematical, statistical and numerical methods, and includes numerical classification approaches to address assumed deterministic variation. Simulation models incorporate uncertainty by adopting chaos theory, statistical distribution or fuzzy logic.