Page 32 - Geochemical Anomaly and Mineral Prospectivity Mapping in GIS
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28                                                              Chapter 2

             Calculation of surface characteristics such as slope is, however, more realistic with a
             raster model than with a TIN model.

             Attribute Data Models
                In a vector model, each  point, line or polygon is assigned the corresponding
             attributes  of geo-objects they represent. In a raster model, each  pixel  is assigned the
             corresponding attributes of geo-objects it represents. A map layer in a vector or raster
             model represents attribute data for a particular variable. For example, a  map layer  of
             stream sediment sample points could represent labels of each point, whilst another map
             layer of the same points could  describe concentrations  of a  specific element at each
             point. Parts of a study area without data for certain attribute are, in either vector or raster
             model, null or undefined.
                In a computer system, or  more specifically in database terminology (see below),
             attribute data represent observed and measured properties of geo-objects. Attribute data
             have spatial, temporal or thematic characteristics. Spatial attributes pertain to properties
             that vary in space and their variations can be characterised by location, topology and
             geometry. Temporal attributes pertain either to age of geo-objects or to a period of data
             acquisition. Thematic attributes are neither spatial nor temporal properties but pertain to
             some forms of classifications to  which geo-objects can be  related, for  example,
             lithology, mineral deposit-type or mineral occurrence (i.e., presence or absence), faults
             of certain orientations, etc. In many GIS studies related to mineral exploration, temporal
             are thematic attributes are usually considered to be non-spatial.
                Attribute data can be classified as either continuous or discrete variables. Continuous
             variables take on any value (i.e., real values), whilst discrete variables take on  only
             certain values (i.e., real integers). Spatial attribute data are mostly continuous variables,
             whilst non-spatial data are mostly discrete values. Element concentrations are examples
             of a continuous variable, whereas stream order is a discrete variable. Because modeling
             of geo-objects  involves  discretisation  of continuous variables and  quantisation (i.e.,
             numerical  representation for quantitative  integration)  of discrete variables, it is more
             didactic to classify attribute data as quantitative or qualitative variables.
                Attribute data representing  numerical  magnitude of geological, geochemical  or
             geophysical properties are  quantitative variables. Data of quantitative variables are
             usually  measured on either  ratio or  interval scales and are mostly  represented  by
             continuous values but can also take on discrete values. For example, element
             concentrations and temperature are continuous variables measured on ratio scales and on
             interval scales, respectively. In contrast, surface reflectance/absorption properties are
             continuous variables measured on ratio scales but can be represented discretely as real
             integers [0,255] in raster images. Quantitative variables are important forms of attribute
             data because they can be manipulated by mathematical  operations or transformations,
             which are essential to spatial analysis.
                Data of qualitative variables usually take on discrete values or labels according to
             either ordinal or nominal scales of measurements. A percentile classification of element
             concentrations is an example of ordinal measurement scale. Lithology is an example of
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