Basic Geographic Concepts Real World Digital Environment Data in a GIS represent a simplified view of physical entities or phenomena Spatial location 2. Non-spatial properties /attributes 1. 1 Basic characteristics of geographic data Location Dimensionality Continuity (continuous/discrete) Attributes (level of measurement) 2 Basic characteristics of geographic data – continuity discrete objects and continuous field 3 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 60 60 55 60 55 55 60 60 55 55 60 60 60 55 60 60 60 4 “The discrete object view represents the geographic world as objects with well-defined boundaries in otherwise empty space. “ “The continuous field view represents the real world as a finite number of variables, each one defined at every possible position. “ 5 http://weather.unisys.com/surface/sst.gif 6 7 Continuous vs. discrete Continuous – Data values distributed across a surface w/out interruption – Key words: What varies and how smooth? – Examples: elevation, temperature Discrete – with well-defined boundaries in otherwise empty space – Examples • Points: Town, power pole • Lines: Highway, stream • Areas: U.S. Counties, national parks 8 Continuous & discrete? Some data types may be presented as either discrete or continuous – Example • Population at a point (discrete) • Population density surface for an area (continuous) 9 Continuous vs. discrete In computer databases – raster and vector data model are used for representing continuous and discrete objects. 10 Raster and vector data model “Rater representations divide the world into arrays of cells and assign attributes to the cells.” “Vector data uses sets of coordinates and associated attribute data to define discrete objects. There are three basic types of vector objects: points, lines, and polygons. “ 11 Basic characteristics of geographic data: Attributes (level of measurement) Nominal Ordinal Interval ratio 12 Nominal To identify or distinguish one entity from another Simplest/lowest level of attribute Identification/labeling of data 13 Ordinal Data ranked based on a particular characteristic Gives us insights into logical comparisons of spatial objects Examples: – Large, small, medium sized cities – Interstate highway, US highway, State highway, Country road 14 Interval Numbers assigned to items measured Measured on a relative scale rather than absolute scale – 0 point in scale is arbitrary Data can be compared with more precise estimates of the differences than nominal or ordinal levels Not very common 15 Interval Example: Temperature Zero temperature varies according to the unit of measurement (0 deg. C = 32 deg. F) 0 deg. C is not the absence of heat Absolute zero is identified by 0 Kelvin 16 Interval The difference between values makes sense, but ratios of interval data do not Ex.: A piece of metal at 300 degrees Fahrenheit is not twice as hot as a piece of metal at 150 degrees Fahrenheit – Why? the ratio of these values is different using Celsius 150 deg. F=66 C 300 deg. F.=149 deg. C 17 Ratio Numbers assigned to items measured Measured on an absolute scale (use true 0 point in scaling) – Measurements of length, volume, density, etc. Data can be compared with more precise estimates of the differences than nominal or ordinal levels 18 Ratio Examples – Total precipitation – Population density – Volume of stream discharge – Areas of countries 19 Attributes & Mathematical Comparisons Nominal -Not possible Ordinal - Compare in terms of greater than, less than, equal to Interval/ratio – Mathematical operations • Interval: addition, subtraction • Ratio: add, subtract, multiply, divide 20 Bits and Bytes 8 bits = 1 byte 1 bit = 1 binary digit 1 byte = 8 bits 1 0 1 1 1 0 1 0 1024 bytes = 1 K 1000 K = 1 Mb 21 The ASCII Coding If the computer stores everything in 0’s and 1’s, then how the the characters are represented? The ASCII (American Standard Code for Information Interchange) coding assigns the numbers 0 through 127 to 128 characters, including the upper and lower case alphabets and various special characters, such white space, the return key etc. For Example, decimal 85 is assigned to represent upper case U. In binary base, 01010101 is decimal 85. Thus the computer represents U as 01010101. Computer files which contain information coded in ASCII are easily transferred And processed by different computers and programs. Such files are often called “ASCII” files or “text” files. 22 Basic Geographic Concepts The difference between discrete and continuous data Descriptive Attributes (nominal, ordinal, interval, and ratio) Binary counting system 23