Gis concepts

Geographical Information Systems: Concepts

INTRODUCTION

Geography is the study of Earth’s features and patterns of their variations in spatial
location and time. Many questions of agricultural production are geographic in nature as the
production depends on the environment and prevailing socio economic conditions, both of
which vary spatially and in time.. Examples are questions related to natural resources
management, precision agriculture, agroecological classification for land use planning,
regional trends and patterns in technology adaptation, agricultural productivity and income,
non-pont source pollution from agricultural lands, etc. Answering these questions requires
access to large volumes of multidimensional geographical (spatial) information of weather,
soils, topography, water resources, socio economic status, etc. Further, answers to even
apparently simple questions require that the data from several sources be integrated in a
consistent form. Geographical Information Systems or GIS enable representation and
integration of such spatial information.

The traditional method of presenting geographical information in two dimensions is
in the form of maps. Maps are graphic representations of the earth's surface on a plane paper
They shape the way we visualize, assess and analyze spatial information. A map consists of
points, lines and area elements that are positioned with reference to a common coordinate
system (usually latitude and longitude).. They are drawn to specified scales and projection.
Map scales can vary and depend on the purpose for which the maps are created. Projection is
a mathematical transformation used to represent the real 3-dimensional spherical surface of
the earth in 2-dimensions on a plane sheet of paper. The map legend links the non-spatial
attributes (name, symbols, colours, thematic data) to the spatial data. The map itself serves to
store and present data to the user. Such, analogue maps (on paper) are cumbersome to
produce and use, particularly when there are a large number of them to be used for analysis.
Computer based GIS facilitates both creation of maps and using them for various complex
analyses. It allows working with geographic data in a digital format to aid decision making
in resources management

GIS is a generic term implying the use of computers to create and display digital
maps. The attribute data which describe the various features presented in maps may relate to
physical, chemical, biological, environmental, social, economic or other earth surface
properties. GIS allows mapping, modelling, querying, analyzing and displaying large
quantities of such diverse data, all held together within a single database. Its power and
appeal stem from its ability to integrate quantities of information about the environment and
the wide repertoire of tools it provides to explore the diverse data. The history of
development of GIS parallels the history of developments in digital computers and database
management systems on one hand and those in cartography and automation of map
production on the other. The development of GIS has also relied upon innovations made in
several other disciplines – geography, photogrammetry, remote sensing, civil engineering,
statistics, etc.

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A GIS produces maps and reads maps. Its major advantage is that it permits
identifying spatial relationships between specific different map features. It can create maps in
different scales, projections and colours. But it is not just a map making tool. It is primarily
an analytical tool that provides new ways of looking at, linking and analyzing data by
projecting tabular data into maps and integrating data from different, diverse sources. This it
does by allowing creation of a set of maps, each with a different theme (soils, rainfall,
temperature, relief, water sources, etc.).

From its early beginnings, GIS has been an integrating technology both from the point
of view of its development as well as its use. This is because, once geographic information
of any kind is translated into the digital form in a GIS, it becomes easy to copy, edit, analyze,
manipulate and transmit it. This allows vital linkages to be made between apparently
unrelated activities based on a common geographic location. This has led to fundamental
changes in the way resource management decisions are made in a variety of situations - forest
management, marketing management, utility management, transportation, as well as in
agricultural, environmental and regional planning and management. Some potential
agricultural applications where GIS can lead to better management decisions are: precision
farming, land use planning, watershed management, pest and disease management, irrigation
management, resources inventory and mapping, crop area assessment and yield forecasting,
biodiversity assessment, genetic resources management, etc.

DEFINITION OF GIS

A GIS is basically a computerized information system like any other database, but with an
important difference: all information in GIS must be linked to a geographic (spatial)
reference (latitude/longitude, or other spatial coordinates).

GIS = G + IS

Geographic reference + Information system

Data of spatial coordinates Database of attribute data
on the surface of the earth corresponding to spatial
(Map) – location data location and procedures to
provide information for
decision making

GIS = IS with geographically referenced data

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There are many different definitions of GIS, as different users stress different aspects of its
use. For example:

(i) ESRI defined GIS as an organized collection of computer hardware, software,
geographic data and personnel designed to efficiently capture, store, update,
manipulate, analyze and display geographically referenced information.

(ii) ESRI also provided a simpler definition of GIS as a computer system capable of
holding and using data describing places on the earth’s surface).

(iii) Duecker defined GIS as a special case of information systems where the database
consists of observations on spatially distributed features, activities or events,
which are definable in space as points, lines or areas. A GIS manipulates data
about these points, lines or areas to retrieve data for ad hoc queries and analyses.
-
The United States Geological Survey (USGS) defined provided A GIS as a computer
hardware and software system designed to collect, manage, analyze and display
geographically (spatially) referenced data. This definition is a fairly comprehensive and is
suitable for agricultural applications of GIS

Note that a GIS does not store a map or image. What it stores is a relational
database from which maps can be created as and when needed. Relational database
concepts are particularly crucial to the development of GIS. Each map (say a soil map)
can be considered to hold a layer or a level of information. A GIS works with several
layers of such thematic data. It can answer questions by comparing the different layers
and also by overlaying them if all the layers are referenced to the same locations, that is
location is the common key for all the thematic data sets. This ensures that every location
(spatial reference point) is exactly matched to its location on other maps. Once this is
done, the different layers can be compared and analyzed singly and in combination to
identify spatial patterns and processes. Thus, GIS are related to other database
applications, but with an important difference; all information in a GIS must be linked to a
spatial reference. Other data bases may contain locational information (addresses, pin
codes etc), but the GIS uses georeferences as the primary means of storing and accessing
information.

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WHAT A GIS CAN DO

There are five basic questions which a complete GIS must answer. These are:

What exists at a particular location? Given a geographic reference (eg lat,long) for a
location, the GIS must describe the features of that location

Where can specific features be found? This is the converse of the first question. For example,
where are the districts with rainfall greater than 500 mm and less than less than 750 mm?

Trends or What has changed over time? This involves answering both questions above. For
example, at what locations are the crop yields showing declining trends?

What spatial patterns exist? if occurrence of a pest is associated with a hypothesized set of
conditions of temperature, precipitation, humidity, where do those conditions exist?

Modelling or What if …? This is a higher level application of GIS and answers questions like
what would be the nitrate distribution in groundwater over the area if fertilizer use is
doubled?

The abilities to separate great quantities of information about the environment into
layers, explore each layer with a powerful suite of analytical tools, and then combine the
layered information to use it in an integrated fashion is what makes the GIS a powerful
and effective decision-support tool for agricultural and environmental management.

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GEOGRAPHIC REFERENCING CONCEPTS

A GIS is to be created from available maps of different thematic layers (soils, land
use, temperature, etc). The maps are in two-dimensions whereas the earth’s surface is a 3-
dimensional ellipsoid. Every map has a projection and scale.

To understand how maps are created by projecting the 3-d earth’s surface into a 2-d
plane of an analogue map, we need to understand the georeferencing concepts. Georefencing
involves 2 stages: specifying the 3-dimensional coordinate system that is used for locating
points on the earth’s surface that is, the Geographic Coordinate System (GCS) and the
Projected Coordinate System that is used for projecting into two dimensions for creating
analogue maps.

Geographic Coordinate System

The traditional way of representing locations on the surface of the earth is in the 3-
dimensional coordinate system is by its latitude and longitude.

Source: ESRI

Note that the distance between two points on the 3-d earth’s surface varies with latitude. The
3-d system therefore does not provide a consistent measure of distances and areas at all
latitudes.

The true surface of the Earth is not the smooth ellipsoid shown in the figure but is quiet
uneven and rugged. The GCS which is the surface used for specifying the latitude and

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longitude of a point on the earth’s surface is also an approximation and a 3-d model of the
earth. Several standard models of the ellipsoid are available to define the GCS (WGS 84,
Everest ellipsoid) etc. The different models vary in their critical parameters ( semi major or
equatorial axis and semi minor or polar axis of the ellipsoid and the point of origin). The
ellipsoid model that is used to calculate latitude and longitude is called the datum. Changing
the datum, therefore, changes the values of the latitude and longitude.

Specifying the Geographic Coordinate System therefore requires specifying the Datum.
The datum is a fixed 3-d ellipsoid that is approximately the size and shape of the surface of
the earth, based on which the geographic coordinates (latitude and longitude) of a point on
the Earth’s surface are calculated. In fact describing a place by its lat/long is not complete
without specifying its datum. In India the Everest Ellipsoid is used as the Datum for the
Survey of India maps.

The ideal solution to would be a spheroidal model of the Earth that has both the correct
equatorial and polar radii, and is centered at the actual center of the Earth. One would then
have a spheroid, that when used as a datum, would accurately map the entire Earth. All
lat/longs on all maps would agree. That spheroid, derived from satellite measurements of the
Earth, is GRS80, and the WGS84. datum matches this spheroid.

Projected Coordinate System

The development of GIS starts with an available map on paper (an analogue map). This map
therefore represents a projection of a 3-d GCS in 2-dimensional form.

Geographic Projected coordinated
coordinate system system

Equations
and
parameters

Adopted from ESRI

Projection is a mathematical transformation used to project the real 3-dimensional spherical
surface of the earth in 2-dimensions on a plane sheet of paper. The projection causes
distortions in one or more spatial properties (area, shape, distance, or direction).

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MAP PROJECTIONS LEAD TO DISTORTIONS … ..
Choice of Projections depends on allowable distortions in:

SHAPE

AREA

DISTANCE

DIRECTION
(Angle)
Adopted from ESRI

There are many methods of map projections, since there are an infinite number of ways to
project the 3-dimensional earth’s surface on to a 2-dimensional planar surface. The 3-d to 2-
d projections can be done to a plane or to the surface of a cone or cylinder leading to
azimuthal, , conic or cylindrical projections respectively with many variations.

Types of Projections

Cylindrical Conical Planar/azimuthal
projection projection projection
Adopted from ESRI

Depending on the scale and the agreeable tradeoffs with respect to distortions, a specific
projection form is chosen. Different countries have adopted different standard projections at
different map scales. In India, the polyconic projection is commonly used by Survey of India
(SOI). All SOI toposheets are in the polyconic projection.

Map Scale

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Map Scale is the ratio of distances on map to distances to on the surface of the earth. It is
specified in verbal, numeric or graphical form on all standard maps.

A graphical scale should be present on all maps that are used in GIS as it ensures that any
changes in scale in photocopying, etc. are accounted for.

The standard map scales are:

1:1000,000 Country level or State level
1: 250, 000 State or District level
1: 50,000 District level
1: 12,500 Micro level

Survey of India maps are available at all the above levels except the micro-level.

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CREATING A GIS

Like for any other Information System , creating a GIS involves 4 stages:

(i) Data input
(ii) Data Storage
(iii) Data Analysis and modelling, and
(iv) Data Output and presentation

The distinction from other Information Systems is that for a GIS the data inputs are of two
types:

(i) Spatial data (latitude/longitude for georeferencing,the features on a map, eg soil
units, administrative districts), and
(ii) Attribute data (descriptive data about the features, eg soil properties, population of
districts, etc.)

Components of Geographic data
Attribute
Spatial data data

SPATIAL DATA SOURCES

Source: (Murai and Murai, 1999))

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Spatial data sources for creating a GIS are analogue maps (soil map, land use map,
administrative districts, map, agroecological zone map, etc.) or aerial photographs and
satellite imageries. Data input is the process of encoding analogue data in the form of maps,
imageries or photographs into computer readable digitized form and writing data into the GIS
database.

GIS Data Input

Spatial Data capture (representing locations in a database) can be in two basic formats:

(i) Vector format
(ii) Raster format

In the Vector format reality is represented as points lines and areas and in the raster format
reality is represented as grid of cells/pixels. The Vector format is based on dicrete objects
view of reality (analogue maps) and the raster format is based on continuous fields view of
reality (photographs, imageries, etc. In principle, any real world situation can be represented
in digital form in both raster and vector formats. The choice is up to the user. Each format has
its advantages and disadvantages.

Vector and Raster representations
• Vector formats
– Discrete representations of reality
X,Y X,Y X,Y

X,Y

• Raster formats
– square cells to model reality
Rows
Reality
(A highway)

X,Y
Columns
Source: ESRI

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Vector data capture

This is generally used for capturing data fro analogue maps. It is based on th
observation that any map consists of 3 basic kinds of features –

(i) point features,
(ii) line features and
(iii) polygon or area features.

Points do not have length, width or area. They are described completely by their
coordinates and are used to represent discrete locational information on the map to identify
locations of features such as, cities, towns, well locations, rain gauge stations, soil sampling
points, etc.

A line consists of a set of ordered points. It has length, but no width or area.
Therefore it is used to represent features such as roads, streams or canals which have too
narrow a width to be displayed on the map at its specified scale.

A polygon or area is formed when a set of ordered lines form closed figure whose boundary
is represented by the lines. Polygons are used to represent area features such as land parcels,
lakes, districts, agroecological zones, etc. A polygon usually encloses an area that may be
considered homogeneous with respect to some attribute. For example, in a soil map, each
polygon will represent an area with a homogeneous soil type.

A vector based system displays graphical data as points, lines or curves, or areas
with attributes. Cartesian coordinates (x, y) or geographical coordinates (latitude, longitude)
define points in a vector system.

Data is captured from a map in the form of known x-y coordinates or latitude-
longitude by first discretizing the features on the map into a series of nodes (dots) and
digitizing the points one by one directly after placing the map on a digitizer. The digitizer
can be considered to be an electronic graph paper with a very fine grid. The map is placed on
the digitizer and the lines and areas are discretized into a series of points. The digitizer’s
cursor is used to systematically trace over the points. The points on the map are captured
directly as point coordinates. Line features are captured as a series of ordered points. Area
features are also captured as an ordered list of points. By making the beginning and end
points/nodes of the digitization the same for the area, the shape or area is closed and defined.
The process of digitizing from a digitizer is both time consuming and painstaking.
Alternately, the map can be scanned and the scanned image digitized on-screen with
appropriate software tools. The latter process is relatively simpler, more accurate and is often
preferred.

Digitization is usually done feature by feature. For example, all point features are on a
map (say cities, towns, etc.) are digitized in one layer. Similarly all line features (eg. Roads,
rivers, drainage network, canal network, etc.) are digitized as a separate layer. So are the
polygon features (soils, districts, agroecological zones, etc.) For the points feature, the
digitization process builds up a database of the points’ identification number (ID) and their
coordinates. For the lines it builds up a database of their ID, the starting and end nodes for

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Spatial data Generation in Vector Format

• discretize lines into points (nodes) and digitize as straight-
line segments called vectors or arcs.
• data of X,Y coordinates of points and vectors and their
connections (topology) are generated and stored in a database
• for areas, geometry (area, perimeter) data are generated
• points, lines and areas have independent database tables
• Add attribute data to database Adopted from FAO

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the line and its length. In addition the GIS also creates a database of the topology, that is, the
spatial relationships between the lines. For the polygons also it develops the database of their
ID, lines or arcs which comprise it, its toplogy and its area and perimeter.

TOPOLOGY

Source: http://www.colorado.edu/ geography/gcraft/notes

The identification number (ID) is the key field in each data base (points, lines, areas
databases) as it can be used to relate the spatial data with the attribute data. The data
resolution depends on the discretization of the digitized points on the initial map. Vector
systems are capable of very high resolution (<.001 in) and graphical output is similar to hand
drawn maps. But it is less compatible with remote sensing data for which the raster system is
preferred.

Map projections and Scale:Note that all standard maps which are to be digitized are drawn
to specific projection and scale. But, the digitizer which facilitated the computerized map
has its own scale and units and the digitized maps are in these units and scale. Translating
information from the digitized map into the real world information of locations, lengths and
areas requires information about the mathematical equations used for the projection as well as
the scale in which the original analogue map is prepared. In case several map layers are to be
digitized (topography, soils, districts, etc), it is necessary to ensure that they are all
assembled in the same projection and scale before any spatial analysis is done using them.
Most standard GIS have the facility to convert from one map projection to the other and to
transform scales from the digitizer scale to map scale to ensure that all map layers have the
same locational reference.

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Raster data capture

A raster based GIS locates and stores map data by using a matrix of grid cells or
pixels. Each cell or pixel is represented either at its corner or centroid by a unique reference
coordinate (cell address). Each cell also has discrete attribute data assigned to it.

Spatial data Generation in Raster Format

• map is represented by rectangular or square cells

• each cell is assigned a value based on what it represents
• attribute data are assigned by user to cells

Adopted from: FAO

The raster data resolution is dependent on the pixel or grid cell size. Data can be
conveniently captured from remote sensing imageries, areal photographs, and other such
imageries of the earth's surface in a raster data format. In this format, the various features are
identified by superposing the imageries over a fine rectangular grid of the earth's surface
which they represent. Raster data capture does not build topography, that is derive spatial
relationships between the identified features. But it facilitates simple scalar operations on the
spatial data which a vector format does not permit. Raster data requires to be converted to
vector format before topology can be built and spatial operations can be carried out. The
raster format also requires more storage space on the computer than the vector format.

Most standard GIS software have the facility to transform maps from raster formats
and vice versa.

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Most GIS software permit Raster-Vector format
conversions:

Vector to raster - easy

Raster to vector - hard

Source: FAO

Attribute data

Attribute data are descriptive data of point, line and area features. For points, this may
be the name of the location, its elevation, etc. For lines attribute data could be the name of a
road, or canal and other descriptions associated with them. For polygons, the attribute data
may relate to name of a district and its population, area, area under specific crops in the
district, etc.

Attribute data about points/lines/areas features can be entered into different database
files. The files can be linked to the default spatial database generated after digitizing by
creating an identification key in each data file which is also common to the spatial database
generated by the GIS after digitization.

Maps representing several layers of spatial and thematic or attribute information (soil
map, rainfall map, agroecozone map, district map, States map, etc.) can be digitized in this
fashion independently.

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LINKING SPATIAL AND ATTRIBUTE DATA
Theme map of Rice_Kp

Attribute table of Dist

OBJECTIDID Dist_name Dist_ID Geometry1_
Shape_LengShape_Area
1 1 Adilabad 123 1Bo 753337 16838673859.80
2 2 Nizamabad 116 1BoG( 430537 7655003826.81
3 3 Karimnagar 122 1BoG 662231 11771979304.40
4 4 Medak 117 1BoG( 573986 9510748717.53
5 5 Hyderabad 115 1BoG 53851 203218046.01
6 6 Rangareddy 114 1BoG( 587854 7813591915.82
7 7 Warangal 120 1BoG 674389 12701135906.20

Rice_1995 table
OBJECTIDDISTID DISTNAME NO_ YEAR_1995 RICEKA RICEKP RICERA RICERP
23 123 Adilabad 113 1995 63 64 7 19
16 116 Nizamabad 78 1995 102 206 34 84
22 122 Karimnagar 108 1995 104 260 88 252
17 117 Medak 83 1995 64 111 41 78
15 115 Hyderabad 73 1995 1 1 1 1
14 114 Rangareddi 68 1995 22 47 18 35

Data Storage and Retrieval

A GIS does not store maps. It stores data organized into a database. The locational
data of different features (coordinates, topology) are generated during the digitization
process. The attribute data of locations are created separately. the GIS must provide the link
between the locational and attribute data. The relational database model is most suitable to
ensure such linkage and the database query language can be used to retrieve data. Relational
database concepts are therefore central to organizing and managing data in GIS. The specific
format of data storage varies with the GIS software. For example, Geomedia GIS stores the
spatial and attribute data in a Microsoft Access databases. The feature attribute database
created during digitization is created in a specific folder called the Warehouse. The map
connections are stored in file created in the Geoworksapces folder Retrieval of data is
possible by employing the appropriate query language for the database model. Other attribute
databases can be storesd as MS Access files anywhere in the system and connections to them
can be established if the share a common ID with the feature attribute table.

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Geographic Analysis

What distinguishes GIS from other databases or information systems are its spatial
analysis functions. These functions use spatial and non-spatial data to answer
questions about the real world. The answers could relate to a presentation of the
current data (first level use), some patterns in the current data (second level use) and
predictions of what the data could be at a different place or time (third level use).
Geographic analysis is carried out using the layers of map information created in
vector or raster data formats and associated attribute data to find solutions to specific
problems. In each case the problem needs to be defined clearly before the relevant
map layers and analysis procedures can be identified. For instance, if the problem is to
find optimal locations for siting of wells for conjunctive use in an irrigation project
area, information about the geographical features influencing the groundwater
recharge will be required. These will include maps of existing well locations, rainfall,
land use, soils and command area of the project, all of which influence recharge.
Regions with recharge above a selected threshold value may be considered suitable
for additional wells. Further, if the area happens to be near the coast, a buffer zone
may be required within which no wells can be sited to prevent sea water intrusion.
Similarly buffer zones may be required on either sides of canals to prevent drawal of
canal water by the wells. What could happen to the ground water levels and quality in
the area if the present use is persisted with or changed could be the subject of another
study where the GIS can help to provide more realistic answers.

Most standard GIS software come with basic analytical tools that permit overlays of thematic
maps, creation of buffers, etc., in addition to calculations of lengths and areas.
Overlay operations permit overlaying one polygon over the other to generate a new
map of their intersections which are new polygon combinations with desired
homogenous properties with respect to specified polygon attributes.

Map Layer Overlay

All layers must be
in same projection
and scale

Overlay generates homogenous units – eg. agroecozones

Source: FAO
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STEPS IN BUILDING A GIS

The way in which a GIS is built will depend on the way information will be used in
the decision-making process. Building a GIS proceeds through at least 4 stages:

(i) Defining the objectives
(ii) Building the spatial and attribute data bases
(iii) Database management for geographic analysis
(iv) Presenting results in the form of maps, etc.

The definition of objectives or the problem to be solved using GIS is critical to the
choice of spatial and attribute databases. Once the problem is defined and the relevant map
layers and attribute data are identified, building databases involves:

(i) database design
(ii) entering spatial data
(iii) creating topology
(iv) entering attribute data

Designing the database requires identifying:

(i) study area boundaries
(ii) coordinate system
(iii) data layers
(iv) features in each layer
(v) attributes for each feature type
(vi) coding and organizing attributes

Depending on whether the map sources are two dimensional maps of the area or
remote sensing imageries, data is entered in vector or raster format. In the vector format,
entering spatial data and creating topology are components of overall digitization process.
Raster data will need to be vectorized before topologies can be built. Attribute data is created
in the form of database files with one field, the feature identification field, in common with
the spatial data base created during the spatial data entry process.

Data base management refers to translating the digitized map into real world
coordinates, identifying coverages for analysis and maintaining the data base.

Presenting the maps for decision-making is facilitated by creating customized maps
using the various facilities available in GIS software.

SUMMARY

A GIS is a computer based tool for geographical analysis of information. It is not
simply a digitized map, nor does it hold maps. It holds a database of spatial data and attribute
or descriptive information about features on a map which can be used to create desired maps.
The crucial concept of GIS is the separation of spatial or geographic reference information
and attribute or descriptive information of map features for data entry and database
development, and their linkage during analysis. Central to both spatial and attribute

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information is the database management concept. The separation of the two types of
information facilitates entering the spatial information (map) into computers in a digitized
form and establishing connectivity (topology) between different stored map features (points,
lines and polygons). The feature attribute data is entered independently taking care to
introduce an identification variable which is in common with the identification variable for
each feature that is common with the spatial database. For geographic analysis, the spatial
and attribute data are linked through this unique identifier variable common to the two types
of data bases.

Initially, spatial data capture is in spatial units and coordinates of the data capture
tool. To translate the map information into real world information of locations, distances and
areas these need to be translated to real world units through appropriate transformations of
scale and map projections.

The digitized maps and their associated feature attributes are the building blocks of
the GIS. The maps can be created and stored in different layers, with each layer containing
information about one feature. They can be overlaid over each other to obtain new maps
(coverages) with new polygons that are homogeneous with respect to specified feature
attributes of maps that were used in the overlays. The overlay operations must be between
maps with exact boundary fits. Exact fits are obtained between maps only if they are created
in the same projection and scale. To make exact fits, appropriate map projection and scale
transformation operations will be needed before geographic analysis can be performed using
overlay operations.

References

1. Aronoff, S. (1991) Geographic Information Systems: A management Perspective, WDL
Publications, canada.
2. ESRI (1990) Understanding GIS
3. FAO : http://www.fao.org/sd/eidirect/gis/EIgis000.htm
4. Heywood I, Cornelius S.,and Carver,S. (1998) An Introduction to Geographical
Information Systems, Longman pub., 279 pp.
5. Longley, P.A., Goodchild,M.F., Maguire,D.J. and Rhind,D.W (eds) (1999) Geographic
Information Systems, Volumes 1 & 2, Wiley pub.
6. http://www.colorado.edu/geography/gcraft/notes

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