Geography
Study of where things are and why they are there.
Geographic information science (GIS)
The study, science, and technology of using and understanding spatial data
Geospatial technology can be broken down into three categories
GPS, GIS, and remote sensing
size of Greenland
2.16M km2
size of Canada
9.98M km2
Geodesy
The study of the Earth's shape, orientation in space, and variations in gravity
The Earth is not a perfect sphere
Ellipsoid (Spheroid)
A model of the Earth that uses sea level as a base
Geoid
Datum
A mathematical reference surface, or model, used for plotting locations. Can be either global or local in coverage.
Datums are based on these
a region of best fit
region of best fit
an imaginary ellipsoid that best regionally fits the Geoid.
Datum transformation
A series of calculations that convert datums from one to another
Two Datum transformation systems developed by Canada and the US
WGS84 and NAD83
The earth Bulges at the... because...
equator due to rotational forces
Datums are used to...
establish Geographic Coordinate systems (GCS)
Geographic coordinate system (GCS)
A global reference system used for determining locations on an ellipsoid
Longitude
imaginary lines on a globe running from pole to pole describing location from East to West
The prime meridian is numerically known as this
the origin, or zero degrees
Latitude
Imaginary lines on a globe running from East to West describing location from North to South
The equator is numerically known as this
The line of Origin or zero degrees
the equation(s) for converting DMS into DD
D + (M/60) + (S/3600) or D + ((M+S)/60)/60
Another word for an ellipsoid
Spheroid
- 42.15188o
42o 9' 6.788" W
130.6790o
130o 40' 44.4" N
Projection
A mathematical process of converting a 3d model of Earth into a 2d map of Earth
three basic kinds of developable surfaces for casting projections
Azimuthal, Conical, and Cylindrical
the three commonly used development surface orientations
Normal, Transverse, and oblique
Downside of Lambert Conformal Conical Projections
LCCPs are not suitable for larger areas because it only minimizes distortion locally.
What projection type is a Lambert conformal?
Conical
A great use for Mercator Maps
MMs are good for things like navigating by compass because it minimizes straight line distortion.
A trade off of using a Mercator Projection
They sacrifice accuracy of depictions of area on a map to project straight lines more accurately.
Peter's Projection
A projection that most accurately depicts area on a map while maintaining minimum distortion
Projected Coordinate System (PCS)
A coordinate on a flat 2d surface. The Surface has constant lengths, angles, and areas.
Universal transverse Mercator (UTM)
an international coordinate metric system
60 UTM zones consisting of this many degrees each
6 degrees of longitude per zone
areas not included in UTM
above 84 degrees N and 80 degree S of latitude
UTM meridians count starting at this meridian
East from the 180th Meridian
UTM zone coordinates are measured in this unit
Meters
Northings
Distance N or S of the equator
Eastings
the distance E or W from the central meridian or the False Easting
Each UTM zone has a central meridian with this value
500,000m
UTM locations on this side of a zone's central meridian are subtracted
Locations west of the central meridian
The names or codes for a UTM Location always contain this
Zone Number
Dominion Land Survey (DLS)
A system developed by Canada that makes UTM zones line up for easier usage.
The seven meridians of the DLS from East to West
West of Winnipeg, Manitoba/Sask Border, Moose Jaw Sask, Sask Alberta Border, Calgary (Barlow Trail), and Grand Prairie
The Base unit of Measure in DLS
Township (6 x 6 miles)
there are two of them to the N and S of each baseline in DLS
tiers of township
East and West edges of a township
Defined as lines of longitude
used to designate townships
Township numbers and range numbers
Township numbers
They start just North of the first baseline and increase going North
Recommence at every meridian and increase going west
Range numbers
Meridians are not referenced in this province
Manitoba
equal to a township
36 sections
equal to a section
4 quarter sections or 16 Legal Subdivisions (LSDs)
Global Positioning System (GPS)
Technology that broadcasts satellite signals for navigation and position determination on Earth
Transit or NAVSAT (1964)
tracking for military and commercial sea vessels
NAVSTAR (1973)
a GPS system developed by the US that implemented a navigating system that had timing and ranging.
1978
the first four satellites were launched
1983 (two things happened)
The soviet union shoots down North Korean air lines flight 007 after it flew off course.
The US makes it's GPS system globally available.
1990
first usages of selective accessability
1993
the 24th satellite is launched and is fully operational by 1995
2000
Differential GPS services make selective accessibility less effective
Global navigation satellite systems (GNSS)
Overall term for technology that uses satellite signals to find locations on Earth.
Three segments of GPS
Space, Control, User
amount of satellites needed for an effective GPS satellite constellation
24 Satellites
Orientation of a GPS Satellite constellation
orbit altitude of 20,200km, six orbital planes separated by 60 degrees
Ephemeris
Information about the satellite's status, orbit, and precise location information
The Ephemeris of a signal contains two pieces of information
Signal containing Satellite position and its precise time of transmission
Each satellite has a unique signal
Pseudo-Random code
C/A Code (Coarse acquisition)
L1 frequency information that is available for all GPS users
L1 frequency
Navigation information (time and position)
P-Code (precise)
L1 and L2 frequency information available to military recievers
L2 frequency
Measures atmospheric interference
Y-Code
encrypted version of P-code intended for military use
User segment
GPS receivers on the ground that pick up satellite signals
The number of Satellites is controlled by this
The number of Channels
A twelve channel receiver can pick up signals from this many satellites
12 Satellites
Single Frequency Receiver
Receivers that only use the L1 frequency
Dual Frequency Reciever
Receivers that use both L1 and L2 frequencies
Trilateration
A process of finding a position based on its distance from three or more other known points
3D Trilateration
term for finding a point on the Earth's Ellipsoid surface using Trilateration
Pseudo Range
The distance between a GPS receiver and satellite
Equation for Calculating Pseudo Range
PR= c x Transmission time
used to correct time errors and find a vertical location
A fourth GPS Satellite
Clocks used by Satellites
Atomic Clocks
Clocks used by Receivers
Quartz Clocks
Five Sources of error in GPS'
TDOP, PDOP, atmospheric interference, multipath signals, and selective availability
Five factors that influence Position Dilution of Precision (PDOP)
• Error introduced due to the geometric position of satellites
•
A wide distribution of satellites results in higher position
accuracy
• GPS receivers can select satellites based on
position
• Some receivers will calculate the range of PDOP
•
Other receivers may allow users to select satellites
GPS Satellites that are closer
have Poor Geometry, are less accurate
GPS Satellites that are farther apart
have Good Geometry, are More accurate
Ionospheric errors
Refraction and slowing of GPS signals can cause roughly a 5m error in pseudo range
Tropospheric errors
refractions can cause up to 0.5m errors in pseudo range
Multipath Signals
Error caused by the reflection of GPS signals from surrounding surfaces. effect can be combatted by raising the height of the receiver antenna or dish.
Selective availability
Sometimes intentional degradation of the timing and location of GPS satellite information which can limit C/A code accuracy to about 100m
Differential GPS (DGPS)
A method of using ground-based corrections in addition to satellite signals. They work best when they are closer to receivers. reduces error to ~5m
Real time kinematic (RTK)
Combination of GPS signals and a base station to provide real-time corrections. Commonly used for mobile data connections
Post processed kinematic (PPK)
Combination of GPS signals and a base station to correct location information after data collection
Wide area augmentation system (WAAS)
A network of ground stations that measure variation in GPS signal. reduces error to ~3m
Three principles of map design
Generalization, Simplification, and Symbology
Map
represents spatial data that provides a reader with information. They can be abstract representations of the real world. A complex model of reality.
Cartographic generalizations
The simplification of representing items on a map. often controlled by a scale
Douglas-Peucker Simplification (line simplification)
curved lines are simplified based on a set of defined points
Displacement
describes how features can be moved slightly to increase clarity. (smoothing or enhancement)
tree methods of generalization
Line simplification, reduction of spatial complexity, symbology
Geographic scale
The real-world size or area of a feature. Larger objects on the ground have a larger geographic scale.
Map Scale
A value representing the number of units on a map relative to the number of the same units on the ground
Representative Fraction
The number of units on a map Vs. the number of the same units on the ground. These are unitless values.
Verbal Scale
Using relatable units on both sides of the relation
Scale bar
A graphic representation of the map scale
Large scale Maps
Maps showing a small geographic region with a large RF value.
Small scale Maps
Maps showing a large geographic region with a small RF value
Accuracy
The degree to which information in a map or a digital database matches true values (refers to data quality and the number of errors in a dataset)
Precision
The level of measurement exactness or repeatability of a dataset. (no. of significant digits used.)
The half millimeter rule
The area of uncertainty increases as scale increases.
Reference Map
A map that shows where geographic features are in relation to each other
Thematic Map
A map designed to convey information about a single topic
Topographic Maps
These maps have strict rules about how they are made
Symbology
The set of conventions or rules that define how geographic features
are
represented with symbols on a map
Single symbol
Symbology method where all features draw in the same color and symbol
Unique values
Symbology method where features draw differently based on category or type attribute
Graduated Colours
Symbology Method where features are placed in classes based on numeric values
Graduated symbols
Symbology method where features are placed in classes based on numeric values and symbol size reflects class value
Classification (Symbology)
Features are divided by numeric values into classes. Has a large range of classifying methods. Only used together with Graduated Symbology.
Natural breaks
Determines classes based on the natural grouping of the data
Jenks
Another name for natural breaks
Quantile
Each class contains an equal number of features
Equal interval
Divides the range of values into equally sized subranges
pros/cons of Natural breaks
• Good for mapping uneven distributions
• Not good for comparing data
• Difficult to determine the proper number of classes
pros/cons of Quantile
• Provides an understanding of relative position
• Similar features may end up in different classes
• Wide range of values may end up in the same class
pros/cons of Equal interval
• Best for familiar values such as percentages or temperature
• Prone to issues with clustering
• Not ideal for uneven distributions
Normalization
• Doing this to data creates a ratio map
• Allows for comparison
between different areas
Nine components of a map for this class
1. Title
2. Data frame
3. Scale
4. Legend
5.
Descriptive text
6. North arrow
7. Sources
8. Name,
date, class number
9. Neatline
Six essential components for a map
1. Title
2. Data frame
3. Scale
4. Legend
5.
Descriptive text
6. North arrow
Data frame
• Data portion of a map
• Consider the purpose of your map when
selecting what and how much you show
Do not abbreviate this
A legend on a map
What research Dr. John Snow did during the 1854 cholera outbreak in London
Mapped the locations of outbreaks in London and examined the relationship between outbreak locations and things like road networks, neighborhoods, and water sources.
Miasma theory
• “Night air” or “Bad air”
• Belief that disease was called by
smell
• Cesspools were emptied into the river
• Cholera
outbreaks increased
Germ theory
• Microorganisms can affect diseases
• Proposed in the 1500s,
accepted in the 1880s
This was patient zero according to Dr. Snow
Baby Lewis
Dr. Snow's Solution to the London outbreaks of 1854
The outbreak was centered around the Broad Street water pump. Dr. Snow convinced the Parish Board of Governors to remove the pump handle.
Dr. Snow is considered the first in this field of battling disease outbreaks
The first epidemiologist
The Grandfather of GIS
Ian McHarg
Some things Ian McHarg did
• Author on landscape architecture and regional planning
using
natural systems.
• Pioneered the concept of ecological planning
with his
book Design with Nature (1969).
• Argued that
humans should integrate with nature and
strongly opposed the idea
of subjugating nature.
• Fundamental in forming the basic
concepts used in
geographic information systems.
Sieve Mapping
Analysis of an area based on layers made up of certain features that can be removed or added to show their relationships
The Father of GIS
Roger Tomlinson
Some things Roger Tomlinson did
• Created the Canadian Geographic System (CGIS) in 1962
• The
first operational GIS
• CGIS used a layered approach to
mapping
• Used to store geospatial data for the Canada Land Inventory
Howard Fisher
Created SYMAP; one of the first computer mapping software's in 1964
GIS focused institution established in 1965
Harvard Laboratory for Computer Graphics
In 1969, Jack and Laura Dangermond founded this institute
Environmental Systems Research Institute (ESRI)
ESRI (Environmental Systems Research Institute)
An institution that applies mapping and spatial analysis to help land resource managers make decisions.
ARC/INFO
The first commercial GIS product first released in 1981
Crowd Sourcing
• Geolocation data collected from portable technology
•
Contributions to OpenSteeetMap, geotagged images, business tracking
The Geospatial Cloud
•Increased operational efficiency
• Development of two-way data
communication
•Analyze large datasets
GIS Software
• Computer-based hardware and software used to capture, analyze,
manipulate, and visualize geospatial data.
• The ability to
handle spatial data separates GIS from other software.
Three words to summarize the advantages to using GIS software
Toolbox, Database, Organization
Geographic Data
• Any data with spatial coordinates
• Points, lines, polygons, rasters
Information Data
• Databases and data integration
• Non-spatial data (e.g.,
Income data, average revenue, population, age…)
System Data
• Integration of data and tools
• Hardware, software, toolboxes,
printers, and users
Five steps to the geographic approach
- Ask
- Acquire
- Examine
- Analyze
- Act
GIS software's can be broken down into 7 main features
- data collection
- storage and management
- Data retrieval
- Data conversion
- Analysis
- Modeling
- Display
Metadata
Descriptive information about a data file
Metadata can include:
• Identification numbers
• Data quality and accuracy
•
Spatial organization (vector or raster)
• Spatial reference
data
• Description of each attribute
• Where data can be
found
• Citations
• Contact information
Geodatabase
Single folder that can hold numerous files with almost unlimited space
Feature Class (geodatabase)
Single data layer (point, line, or polygon). Also stores raster, CAD files, tables, etc
Feature dataset (geodatabase)
Grouping of multiple feature classes. Effective way of storing and sharing data
This is an image of a Geodatabase

Catalog

allows you to view, create, and manage items in your project
7 file types and their uses
• .cpg – Characters used to display text
• .dbf – Stores
attributes
• .prj – Stores coordinate system information
•
.shp – The main shapefile
• .shx – The index of the feature
geometry
• .ovr – The compression and quality
of
rasters
• .rrd – reduced-resolution of rasters
Layer Package
• Shares just one layer
• Includes properties and data for a layer
Map Package
• Shares an entire map
• Includes properties and data for layers
in a map
Project Package
• Share the entire project
• Includes properties and data for
layers in all maps
• Stores toolboxes, databases, styles, models,
and more
Web Layer
• Shares data layers in a map as web layers
Web Map
• Shares an entire map and creates a web map
Discrete View (Discrete object view)
Representing the world with a series of separate objects.
• Points: A simple set of coordinates
• Lines: A
one-dimensional object that connects starting and endpoints
•
Polygons: A two-dimensional object that forms an area from a set of lines
Continuous View (Continuous field view)
Viewing the world as items that vary across the Earth’s surface as constant fields
Continuous view (Raster data model)
Spatial model that uses an array of equally sized cells arranged in rows and columns
Naming Restrictions for a raster data model
• Maximum of 13 characters
• Cannot start with a number
•
No spaces
• Underscore is the only character that can be
used
• File path cannot be more than 128 characters
pro's of Vector data
• No generalization
• Aesthetically pleasing
• Accurate
geographic locations
• Can store many attributes
Con's of Vector data
• The location of each vertex is stored explicitly
• Not
effective for continuous data
• Spatial analysis within a polygon
is not possible
Pro's of Raster data
• The location of each cell is implied by its location in the
grid
• One attribute per cell is ideal for mathematical
modelling
• Represent continuous data
Con's of Raster data
• Cell size can result in block images
• Poorly represents
linear features
• Files can be large
• Spatial inaccuracies
Attribute
Non-spatial data associated with a spatial location. Attributes are stored in an attribute table.
The amount of attributes a piece of vector data can have attached to one location
Many can be assigned (Numerous)
Joins
a method of linking two (or more) attribute tables
•Attribute
tables must share a common field
•Your “join table” will be added
to your “input table” based on the common field
• Joins may be
removed once created
Relates
• Defines a relationship between two or more tables but does not
attach or move data
• Requires a common field
• Can be a
preferred method if working with one-to-many relationships or numerous
tables
• Relates can be undone
Spatial Join
Used when layers do not have a common attribute field
Spatial Join (one-to-one)
A Join Operation that summarizes the joining information with each feature in the target layer
Spatial Join (one-to-many)
A Join Operation where If multiple join features overlay the target feature, the output will contain multiple copies of the target feature.
Selections
•Interactive selection
• Used on a map or attribute table
•
Database query “Select By Attributes”
•Spatial query “Select By
Location”
• Use the clear button to remove selections
Database Query
Computer language with defined syntax used for accessing data from databases
Language used by Database Query's
Structured Query Language (SQL)
Format of an SQL statement
<Field_Name><Operator><Value or String>
• Text variables must be in ‘ ‘
• Enter the Boolean operator
if multiple criteria are required
Compound Query
A query used to make selections based on multiple criteria.
selects the intersection between multiple criteria
AND
selects everything that meets both criteria. Can be referred to as a union
OR
selects what meets the first criteria but not the second criteria. This can be referred to as negation
NOT
selects all features that only meet the first and second criteria. This can be referred to as exclusive
XOR
Spatial Query
Selecting features or information based on a spatial relationship
Intersect
Selects features in the input layer that completely or partially overlap the selecting features
Within a Distance
• Creates a search area from the selecting feature
•Selects
input features that fall within that search area
•Example: Select
buildings within 1000 m of a railroad
Within
Selects input features that are located completely or partially
within the selecting
feature.
Completely Within
•Selects the input feature if it does not share a boundary with the
selecting feature.
•Alberta is within Canada
•Alberta is not
completely within Canada
Contains
•Selects the input feature that has the selecting feature within
it.
•Inverse of within
• The United States contains Texas
Completely Contains
• The selecting feature must be completely within the input
feature
•Input must be a polygon
•Inverse of completely
within
• The United States contains Texas
• The United
States completely contains Kansas
Boundary Touches
•Selects the input if it touches the boundary of the selecting
feature
•Input and selecting features must be lines or
polygons
• The United States, Guatemala, and Belize touch the
boundary of Mexico
Copy Feature
• Copies but does not save the new shapefile
• Right-click on
the layer → Selection → Make a layer from selected features
•
Copy features tool (Data Management Tools)
Export Feature
• Converts a shapefile to a new shapefile based on the
selection
• Allows you to output the data
• Right-click on
the layer → Data → Export data
Digitizing
Process of creating points, lines, or polygons which represent features from a map or image. Errors can propagate during digitizing
needed for Heads down Digitizing
Obsolete method of digitizing
• Digitizing tablet
• Hardcopy map
needed for Heads up Digitizing
Newer method of digitizing
•On-screen
•Satellite images, air photos, or scanned maps
Heads down Digitizing
• Named based on the position of the user's head while
digitizing
• Tablets use a grid of wires to generate a magnetic
field which is detected by the cursor.
• Tablet accuracies are
about 0.1 mm
• User accuracy is about 0.5 mm
Heads up Digitizing
• Digitizing features on a computer screen
• Digital files or
scanned hardcopy maps
• Digital files must be
georeferenced
• Zoom function reduces human error
•
Digitizing can be done to create new or edit existing features
Digitizing method that needs at least 4 control points
Heads Down Digitizing needs these 4 things
How would I create a feature class?
• Right-click on your database
• New → Feature
class
•Provide a name
•Select the type of
feature
•Provides the option to add fields to the attribute table
Point Mode
The user identifies the points to be captured by intentionally pressing a button
Stream Mode
Points are captured at set time intervals. (about 10 points/second)
Sliver Polygon
occur when digitized polygons overlay each other or gaps exist
between the boundaries
• Unwanted small polygons
• Use the
snapping tool
Process of Digitization (5 steps)
1. Create a new shapefile or select a shapefile to edit
2. Open
the Editing tab and select Create
3. Choose the file you would
like to edit
4. Start digitizing
5. SAVE when done!
Georeferencing
The process of aligning an unreferenced dataset to one that has a spatial reference system.
Often not Georeferenced
Satellite, aerial images, and CAD files
Does not have a georeferencing system
Scanned maps
Data needed for Georeferencing
• Unreferenced data
• A dataset with real-world
coordinates
• Identifiable locations in both datasets
Control Points
Locations that are identifiable and have known coordinates. Used to 'tie' unreferenced data to a dataset with real-world coordinates.
4 Good control points
• Road intersections
• Corners of buildings
•
Boulders
• Mountain peaks
4 Bad control points
• Tops of buildings
• Center of a field
• Trees
• Shorelines
6 steps of the georeferencing process
1. Compare datasets with known and unknown coordinates
2.
Identify locations that can be used for Ground Control Points
(GCPs)
3. Add control points by clicking the GCP in the unknown
image first
4. Choose the corresponding location on the image or
map with known coordinates
5. Add and remove GCPs
6.
Transform the image
What does GCP stand for
Ground Control Point
The min number of GCPs for a zero-order-shift
Requires 1
Zero Order Shift
shifts the map, no change in scale or rotation
First order affine
can shift, scale, and rotate a map
The min number of GCPs for a first order affine
requires 3
Four common transformations using GCPs and the minimum amount of GCPs they need
• 1 for a zero-order shift (shifts the map, no change in scale or
rotation)
• 3 for a first-order affine (can shift, scale, and
rotate )
• 6 for a second-order (can “bend” the image)
• 10
for a third-order (can “twist” the image)
Residual Error (Georeferencing)
• Calculated when a transformation is applied
• Difference
between where the georeferenced point is and the specified
location.
• Assessment of the transformation accuracy.T
The Residual
The difference between the user-defined (observed) point and the
modelled
(predicted) point
Root Mean Square Error (RMSE)

the square root of the mean value of all the squared errors (residuals)
The minimum GCPs that are needed to calculate the RMSE
Minimum of 4
The amount of Residual Error is heavily influenced by this factor.
The quality of GCPs
How does a poorly selected GCP affect RMSE
Causes a higher derived RMSE value
Forward Residual
Shows the error in the same units as the data frame
Inverse Residual
Shows you the error in pixel units
Forward-Inverse Residual
Measure of overall accuracy measured by pixels
Resampling
• During transformation, an empty cell matrix is computed
• Each
cell is then given a new value based on its location
Three common methods of Resampling
• Nearest neighbor
• Bilinear interpolation
• Cubic convolution
Nearest Neighbor

• Does not alter original values
• Adopts the value of the
nearest pixel
• Best for discrete data (Land use, zoning, roads…)
Two disadvantages of Nearest Neighbor
• Some values may be duplicated or lost
• May result in
blocky/disjointed images
Bilinear Interpolation

• Weighted average of four pixels in the original grid nearest the
new pixel
• Creates a new pixel value in the output
• Used
for continuous data (Elevation, precipitation…)
Cubic Convolution

• Calculates a distance-weighted average of 16 pixels from the
original grid that surrounds the new output pixel.
• Creates a
new pixel value in the output
• Used for continuous data
•
Elevation, precipitation…
Which Resampling methods are not suited for use with discrete data?
Bilinear Interpolation and Cubic Convolution
What is an advantage of using Bilinear interpolation and Cubic Convolution
They produce sharper image quality and are preferred for remote-sensing data
Spatial analysis
Describes how features are spatially related to one another
Constraints (spatial analysis)
Selections and queries to identify features that meet certain criteria
Proximity (spatial analysis)
How close one feature is to another feature
Networks (spatial analysis)
• What is the shortest route to a location?
• How large of an
area can a location serve?
Clustering (spatial analysis)
Are nearby features similar to one another?
Thiessen Polygons

a map that shows the area around a point that is closer to that point than any other point
5 step process for making a Thiessen polygon
1. Point data
2. Connect points with thin lines
3. Mark the
center point of each line
4. Draw perpendicular lines
5.
Erase your thin lines
Buffers

• A spatial proximity built around a point, line, or polygon
•
Everything that falls within a buffer is within the set distance
• Buffer uses Euclidean distance
• Straight line
• Ignores
networks such as roads
Network Analyst

• Measured Manhattan Distance
• Analyze routes
• Analyze a
service area
• Use distance or time
Manhattan Distance

• Distance between two points on a grid
• Requires a network
(typically, road)
Near

• Near features can be points, lines, or polygons
• Measures the
distance between input features and near features
• Distance is
stored in the input feature
• The Near Tool will add a new attribute field called “near
distance”
• Users set a search distance
• No changes in the
visual output
Kernel Density (KDE)

•Kernel Density (KDE) calculates the density of point features around
each output raster cell
• Creates an output raster and calculates
the density of points around each raster cell
Feature types that can be used in KDE
Point and Line Features
Possible uses of KDE
House density, crime reports, roads, wildlife habitat, etc
What does a KDE 'window' do?

Counts the number of points within it to determine the density.
What can fill a Raster Cell
Integers, Real Numbers, or Null (NODATA)
Vertical Datum
baseline used for measuring elevation
• Based on mean sea level
determined by the shape of the geoid
Represents elevation on a topographic map
contour lines
For topographic maps to be scanned to create and apply digital elevations, two things are required of the topographic map.
It must be Georeferenced and Digitized
Photogrammetry
Stereo pairs used to calculate elevation manually or digitally
Light Detection and Ranging (LiDAR)

•Emits a laser pulse to the Earth’s surface and measures the
return
•Satellite, aircraft, or drone-based
•Accuracy ranges
from 3 to 30 cm
Radio Detection and Ranging (Radar)
Emits a radio wave to measure the Earth's surface
Digital Elevation Model (DEM)
Representation of the surface of the Earth
• Bare Earth model
• Does not include features on the
surface
• Raster-based approach with one value
Triangulated Irregular Network (TIN)

• Vector-based approach to creating Digital Elevation
Models
•Allows for non-equally spaced elevation
points
•Adjacent points are connected by lines to create a
network of nonoverlapping triangles
• Calculate interpolated
values between points using trigonometry
Advantages of TIN
• Accepts randomly sampled data
• Displays linear features such
as contours and break lines
• Accepts point features
(peaks)
• Can vary the density of points according to terrain
Advantages of DEM
• Accepts data directly from a matrix of cells
• Less complex
and faster processing
Disadvantages of TIN
• Data intense and longer processing time
• Each vertex stores
x, y, z coordinates
Disadvantages of DEM
• Must be resampled if irregular data is used
• May miss complex
topography
• May include redundant data in low-relief areas
Digital Surface Model (DSM)

• A measurements of ground elevation heights as well as the objects
on the ground.
• May be thought of as a full 3-D model of the surface.
Watershed Analysis
• DEMS are used to delineate watersheds, calculate flow accumulation
and direction.
•Impacts political agreements, downstream
agriculture, and communities.
Predictive Surfaces
Using measurements at a set of locations to predict values in locations that were not measured.
Predictive Surfaces can be used to do two things
Interpolate and/or Extrapolate
Interpolate
is the process of predicting values between known points
Extrapolate
predicts values outside of known sample points
Exact interpolation method

Creates a surface that passes through all known points
Approximate interpolation method

Creates a surface that may vary from known values
Local Interpolation method
Use spatially defined data subsets
Global Interpolation method
Use all data in the study area
4 possible predictive surfaces
• Inverse Distance Weighting (IDW)
• Natural Neighbor
•
Spline
• Trend
Inverse Distance Weighting (IDW)

• IDW predicts values using a weighted combination of sample
points
• Weight decreases with distance from the grid cell
•
Follows an inverse power function
• The Power controls the
significance of points based on their distance.
• Increased power
puts more emphasis on the nearest points (Default = 2)
Tobler's First law of Geography
“Everything is related to everything else, but near things are more
related than
distant things."
Benefits of using IDW
• There is a known influence of proximity
• Uniform distribution
of points
• Can control the smoothness
Limitations of IDW
• Doesn’t handle sharp changes in data
• Can create a bullseye
pattern around points
• Does not extrapolate
Fixed Search Radius (IDW)
Fixed search radius will remain constant unless a minimum number of points is not met
Variable Search Radius (IDW)
Variable search radius will change to include a minimum number of sample points
Barriers (IDW)
• Breaklines that limit the search for samples
• Cliff or ridge line
Natural Neighbor

• Finds the nearest input samples to a grid cell and weights them
based on proportionate areas overlapping the grid cell area.
•
Local interpolation
• Exact interpolation
Benefits of Natural Neighbor
• Ideal for irregularly spaced data
• Resistant to cluster bias
or overrepresentation
Limitations of Natural Neighbor
• Does not represent peaks, ridges or valleys
• Computationally
intensive
• Does not extrapolate
Spline
• Minimizes the curvature to create a smooth surface
• Local
interpolation
• Exact interpolation that exceeds the minimum and
maximum values
• Users can control the number of points used to calculate each
interpolated cell value.
• More points = smoother surface
Benefits of Spline
• Estimates beyond the max & min
• Captures subtle
variations
• Best for gently varying surfaces
• Extrapolates
based on the last trend
Limitations of Spline
• Can miss sharp changes (cliffs, fault lines…)
• Can create
unrealistic values
• Not ideal for dense points with extreme differences
Regularized Spline
allows users to adjust the weight parameter to smooth the
surface.
• Higher weight = smoother surface
Tension Spline
allows users to adjust the weight parameter to stiffen the
surface.
• Creates a less smooth surface constrained by the
sample points.
Overlay
A layer that reveals more information about an underlying map
Trend

• Global polynomial interpolation method used to capture coarse-scale
patterns
• Global interpolation
• Approximate
interpolation
• Passing a piece of paper through raised
points
• Mathematical formulas can increase the “bending” of the s
First order polynomial
linear
Second order polynomial
one bend
Third order polynomial
two bends
Benefits of Trend
• Large-scale pattern recognition
• Extrapolates data
Limitations of Trend
• Oversimplifies data
• Miss local variability
• Inaccurate
for small-scale analysis