Syllabus & Marks Distribution
| Detail | Information |
|---|---|
| Chapter | 4 — Data Sources |
| Teaching Hours | 3 hours |
| Marks Allocation | 6 marks |
| Total Course Marks | 80 marks |
| Weight | 7.5% of total |
Syllabus Topics
- Data Input and Data Quality
- Major data feeds to GIS and their characteristics
- Maps, GPS, images, databases
- Commercial data
- Locating and evaluating data
- Data formats
- Data quality
- Metadata
Importance & Frequently Asked Topics MEDIUM
Marks Distribution by Each Exam
Asked 12 times across past exams. Total marks: 61. Average marks per exam: ~6.
| Exam | Marks |
|---|---|
| 2071 Bhadra | — |
| 2071 Magh | 9 |
| 2072 Ashwin | 5 |
| 2072 Magh | 12 |
| 2073 Bhadra | — |
| 2073 Magh | 6 |
| 2074 Bhadra | — |
| 2074 Magh | — |
| 2075 Bhadra | 6 |
| 2075 Magh | — |
| 2076 Bhadra | 3 |
| 2078 Chaitra | 4 |
| 2079 Chaitra | 4 |
| 2080 Chaitra | — |
| 2081 Chaitra | 4 |
| 2082 Shrawan | 8 |
Frequently Asked Topics
| Topic | Times Asked | Frequency |
|---|---|---|
| Data Formats, Data Quality, Metadata | 4 | |
| Major Data Feeds to GIS and Their Characteristics | 3 | |
| Maps, GPS, Images, Databases, Commercial Data | 3 | |
| Data Input and Data Quality | 2 |
Topic-wise Importance & Exam Tips
| Topic | Importance | Key Points / Exam Tips |
|---|---|---|
| Data input methods (digitizing, scanning) | High | Explain manual digitizing vs scanning with advantages/disadvantages. Know point-mode vs stream-mode digitizing. |
| Data quality components | High | Five components: positional accuracy, attribute accuracy, completeness, logical consistency, temporal accuracy. Give examples for each. |
| Sources of error in GIS data | Medium | Errors in data collection, input, storage, manipulation, and output stages. |
| Metadata | Medium | Define metadata, explain its importance, list key metadata elements (who, what, when, where, why, how). |
| Major data feeds to GIS | Medium | Maps, GPS, satellite imagery, field surveys, existing databases. Characteristics of each source. |
| Data formats (vector and raster) | Low | Know common formats: Shapefile, GeoTIFF, KML, GeoJSON. |
| GPS as data source | Medium | Often linked with Chapter 10. How GPS data feeds into GIS. |
Part 1: Data Input and Digitizing Errors (Section 4.1)
PAST EXAM QUESTIONS ON THIS TOPIC:
- What are the primary data source for digitizing? Explain the difference between location errors and topological errors [2+4] (2072 Magh, Q6)
Data Capture Definitions (Textbook pp.271–280)
- Primary Data: Data captured directly from the environment (field surveys, GPS measurements, remote sensing, aerial photography). (Textbook p.272)
- Secondary Data: Any data not captured directly — derived from existing sources (digitized maps, scanned documents, purchased datasets, census records). (Textbook p.274)
- Image vs. Raster: An image is a raw array of digital numbers from a sensor (no interpretation). A raster contains thematic values that have been interpreted (e.g., land use classes). (Textbook pp.272–273)
- Vectorization Process: Scanning → Thinning → Centerline extraction → Coordinate pairs → Feature formation → Error correction. (Textbook pp.277–278)
1. Primary Data Sources for Digitizing (2 Marks)
Digitizing is the process of converting analog (physical) information into digital GIS formats (points, lines, polygons). The primary sources you trace over to create this digital data are:
- Scanned Hardcopy Maps: Historical topographic maps or cadastral (parcel) blueprints that have been scanned and georeferenced.
- Satellite Imagery & Aerial Photography: High-resolution orthophotos where the digitizer visually traces roads, rivers, and building footprints directly from the image.
2. Location Errors vs. Topological Errors (4 Marks)
This is a critical distinction in GIS data quality:
| Aspect | Location (Positional) Errors | Topological Errors |
|---|---|---|
| Definition | Coordinates of a feature do not match its true position on the ground | Spatial relationships between features are logically incorrect |
| What is affected | Geometric accuracy (position) | Logical consistency (connectivity, adjacency, containment) |
| Cause | GPS error, poor georeferencing, datum mismatch, digitizing inaccuracy | Careless digitizing, snapping tolerance issues, edge-matching errors |
| Examples | A well plotted 15m from its true location; a road shifted 5m east | Overshoots, undershoots (dangles), slivers, unclosed polygons, gaps between adjacent polygons |
| Detection | Comparing with ground truth (GPS survey, control points); RMSE calculation | Topology validation rules in GIS software |
| Correction | Rubber-sheeting, affine transformation, re-georeferencing | Snapping, extending lines, removing slivers, closing polygons |
| Impact | Wrong distances, areas, and spatial relationships | Network analysis fails; area calculations wrong; overlay produces errors |
- Location (Positional) Errors: This relates to geometric accuracy. It occurs when the geographic coordinates of a feature in the GIS do not match its true physical location on the Earth.
- Example: A GPS error places a water well 15 meters away from its actual physical location. The point is structurally perfect, but it is in the wrong place.
- Topological Errors: This relates to logical relationships. It occurs when the geometry is drawn incorrectly, breaking the mathematical rules of how features connect and interact, regardless of their absolute coordinates.
- Examples:
- Overshoots/Undershoots: A digitized road line goes too far and crosses an intersection (overshoot), or stops just short of connecting to the next road (undershoot).
- Slivers: Tiny, microscopic gap polygons created when two adjacent boundaries (like two forest stands) don't perfectly snap together.
- Unclosed Polygons: A lake boundary whose start and end points do not perfectly connect.
- Examples:
3. Workflow: Integrating GPS Data into GIS (10 Marks)
This is a highly practical scenario question. Here are the exact steps a surveyor takes to bring field data into a GIS for analysis:
- Step 1: Data Collection & Export: The surveyor uses a handheld GPS or a Rover to collect waypoints (coordinates) and attributes in the field. This data is exported from the device usually as a .GPX file or a comma-separated .CSV Excel file.
- Step 2: Importing into GIS (Add XY Data): In the GIS software (like ArcGIS or QGIS), the surveyor uses the "Add Delimited Text" or "Display XY Data" tool. They map the spreadsheet's Longitude column to the X-axis and Latitude to the Y-axis.
- Step 3: Defining the Coordinate System: Because raw GPS data is collected globally, the surveyor must define the incoming spatial reference as GCS WGS 1984.
- Step 4: Conversion & Projection: The temporary plotted points are exported and saved permanently as a Point Shapefile or Feature Class. To prepare for engineering measurements, the "Project" tool is used to convert the data from WGS 1984 (degrees) into a local projected coordinate system like MUTM (meters).
- Step 5: Spatial Analysis: The data is now ready. The surveyor can buffer the GPS points, overlay them with municipal wards, or interpolate them to create a continuous surface.
Part 2: Major Data Feeds to GIS and Their Characteristics (Section 4.2)
PAST EXAM QUESTIONS ON THIS TOPIC:
- Explain the major data sources for Geographic Information System [6] (2072 Magh, Q4)
- Write the sources of data feed to GIS and their characteristics [5] (2072 Ashwin, Q2a)
- What are the main sources of data feed to GIS? What is positional and attribute accuracy? [4+2] (2073 Magh, Q4)
1. Major Data Sources (Feeds) to GIS (5 to 6 Marks)
To secure full marks on this recurring question, divide your answer into Primary (direct measurement) and Secondary (derived) sources:
Primary Data Sources (Directly Collected):
- GNSS / GPS Field Surveys:
- Characteristics: Highly accurate, point-based discrete data. Excellent for mapping utilities, manholes, and property corners.
- Remote Sensing (Satellites & Drones):
- Characteristics: Provides massive, continuous raster coverage. Great for land-use classification, NDVI, and tracking environmental changes over time.
- Total Station / Conventional Surveying:
- Characteristics: Offers millimeter-level precision. Ideal for small-scale, highly detailed engineering sites like a dam construction layout.
Secondary Data Sources (Derived / Existing):
- Digitized / Scanned Maps:
- Characteristics: Cost-effective way to get historical data into GIS, but heavily prone to human digitizing errors and paper shrinkage.
- Digital Elevation Models (DEMs):
- Characteristics: Continuous 3D raster surfaces downloaded from global missions (like SRTM or ASTER) used for watershed and slope analysis.
- Tabular Census / Survey Data:
- Characteristics: Purely attribute data (non-spatial Excel sheets like population counts) that must be "joined" to existing spatial polygons (like ward boundaries) using a common ID.
Three Types of Errors (Textbook p.287)
- Gross Errors (Blunders): Caused by human mistakes during data collection or entry (e.g., transposing digits, misidentifying features). These are detectable and should be eliminated.
- Systematic Errors: Caused by instruments or procedures. They accumulate in a consistent pattern (e.g., a miscalibrated total station always measuring 2cm too long). Detectable when ∑δx ≠ 0 or ∑δy ≠ 0.
- Random Errors: Due to natural variation and limitations of measurement. They follow a normal distribution and cannot be eliminated, only minimized by repeated observations.
Epsilon (ε) Band / Perkal Band (Textbook p.294)
A confidence limit band at a fixed distance on either side of a digitized line, reflecting the probable location error. Points within this band are considered to have uncertain position. This concept is important in understanding positional uncertainty of vector features.
2. Positional Accuracy vs. Attribute Accuracy (2 Marks)
PAST EXAM QUESTIONS ON THIS TOPIC:
- What are the main sources of data feed to GIS? What is positional and attribute accuracy? [4+2] (2073 Magh, Q4)
GIS data quality is measured in two distinct ways:
- Positional Accuracy: Answers "Is it in the right place?" It is the statistical closeness (usually measured by RMS error) of the map features to their true ground coordinates.
- Attribute Accuracy: Answers "Is the description correct?" It is the correctness of the non-spatial data table attached to the geometry.
- Example: A road line is perfectly mapped in the correct location (High Positional Accuracy), but the attribute table lists it as a "4-lane pitched highway" when it is actually a "2-lane dirt road" (Low Attribute Accuracy).
4.3 Maps, GPS, Images, Databases (Sources & Importance)
PAST EXAM QUESTIONS ON THIS TOPIC:
- What are the basic sources of data for GIS? [3] (2076 Bhadra, Q1b)
- Explain the data sources of GIS. Why acquisition of data is considered an important task in GIS? [2+2] (2079 Chaitra, Q1b)
- What are the major data sources of GIS data? Why data collection is the most important process in GIS analysis? [4] (2078 Chaitra, Q1b)
1. The Basic Sources of Data for GIS
While we touched on this earlier, if an exam question specifically asks for the "basic sources" under this chapter's context, group them into these four distinct categories:
- Maps (Analog to Digital): Hardcopy topographic or cadastral maps that are scanned and georeferenced. A technician then manually digitizes (traces) the features into vector formats.
- GPS/GNSS: Field surveys using handheld receivers or high-precision RTK rovers. This provides exact point data for infrastructure like manholes, light poles, or boundary pegs.
- Images (Remote Sensing): Passive satellite imagery (Landsat, Sentinel) or active sensors (LiDAR, Radar) and drone orthophotos. These provide continuous raster data for tracking land-use changes or extracting elevation.
- Databases & Commercial Data: Non-spatial tabular data (like national census population tables or municipal tax records) that are linked to spatial polygons (like ward boundaries) using a common ID number.
2. Why is Data Acquisition/Collection the Most Important Process?
PAST EXAM QUESTIONS ON THIS TOPIC:
- Explain the data sources of GIS. Why acquisition of data is considered an important task in GIS? [2+2] (2079 Chaitra, Q1b)
- What are the major data sources of GIS data? Why data collection is the most important process in GIS analysis? [4] (2078 Chaitra, Q1b)
You must mention these two specific principles to get full marks:
- The 80/20 Rule: In any real-world GIS engineering project, data collection, entry, and cleaning consume 80% of the project's total time and budget. The actual spatial analysis and map making only take the remaining 20%.
- The GIGO Principle (Garbage In, Garbage Out): GIS software is just a calculator. It assumes the data you feed it is perfect. If you input a heavily flawed Digital Elevation Model (DEM) into an advanced hydrological model, the software will confidently output a completely incorrect flood plain. In civil engineering, bad input data doesn't just make a bad map; it causes bridges to be built at the wrong elevation and budgets to explode.
Commercial & Government Data Sources (Lectures p.21)
- Government sources: Institutions like the Department of Hydrology and Meteorology (under Ministry of Energy, Water Resources and Irrigation) collect and sell geographic data from hydrometeorological stations throughout the country.
- Private companies: Maxar Technologies, SkyWatch, OneAtlas, etc., collect high-resolution satellite imagery from their private satellites and sell these to organizations.
4.4 Locating and Evaluating Data
No direct past exam questions have been asked from this section, but it is part of the syllabus and may appear in future exams.
Before starting any GIS project, engineers must find appropriate spatial data and assess whether it is fit for purpose. This process involves locating available datasets and evaluating them against project requirements.
Locating Data Sources
GIS data can be found through several channels:
- National Mapping Agencies: Survey Department of Nepal, USGS, Ordnance Survey — provide official topographic maps, DEMs, and boundary data
- Spatial Data Infrastructures (SDI): National and international portals (e.g., Nepal's National Geoportal, INSPIRE in Europe) that catalog and distribute standardized spatial datasets
- Open Data Portals: OpenStreetMap (OSM), NASA EarthData, DIVA-GIS, Natural Earth — free and community-maintained datasets
- Commercial Providers: DigitalGlobe (satellite imagery), Esri Living Atlas, Google Earth Engine
- In-house Survey: Primary data collected through GPS surveys, total station, drone/LiDAR flights, or field observations
- Metadata Catalogs: Searching metadata records that describe the content, quality, extent, and access conditions of spatial datasets
Evaluating Data Quality
Once located, data must be evaluated before use. Key evaluation criteria include:
| Criterion | What to Check |
|---|---|
| Positional Accuracy | How close are the coordinates to true ground positions? (RMSE value) |
| Attribute Accuracy | Are the non-spatial attributes (land use type, elevation value) correct? |
| Temporal Currency | When was the data collected? Is it recent enough for the project? |
| Completeness | Does the dataset cover the entire study area? Are there missing features? |
| Logical Consistency | Are there topological errors (gaps, overlaps, dangles)? |
| Scale/Resolution | Is the data detailed enough? A 1:50,000 map won't work for a building-level analysis. |
| Lineage | What was the original data source and how was it processed? |
| Format Compatibility | Can the data be imported into your GIS software (Shapefile, GeoJSON, GeoTIFF)? |
Common GIS Data Formats (Lectures p.21)
Vector Data Formats:
- Coverage: ESRI’s original format with built-in topology. Uses a split system to store geometry and attributes.
- Shapefile: Standard non-topological format used by ESRI products. No inherent spatial relationship initially.
- TIN: Triangulated Irregular Network format for surface representation.
Raster Data Formats: PNG, JPEG 2000, TIFF, GeoTIFF (geo-tagged image), DEM, GDAL Virtual format (allows virtual data derived from other datasets).
4.5 Data Capture Methods, Data Quality, and Metadata
PAST EXAM QUESTIONS ON THIS TOPIC:
- What are the direct and indirect methods of spatial data capture? List them. And explain any three data quality parameters [3+3] (2071 Magh, Q2b)
- Describe briefly about the macro -level components of data quality [6] (2075 Bhadra, Q4)
- Write short notes on: Metadata [3] (2071 Magh, Q6a)
1. Direct vs. Indirect Methods of Spatial Data Capture
PAST EXAM QUESTIONS ON THIS TOPIC:
- What are the direct and indirect methods of spatial data capture? List them. And explain any three data quality parameters [3+3] (2071 Magh, Q2b)
- Direct Data Capture: Collecting original data directly from the physical real world.
- Examples: Standing in a field with a GPS rover to record property corners; flying a drone to capture fresh aerial photography; running a Total Station survey.
- Indirect Data Capture: Creating new GIS data by extracting or converting information from existing data sources.
- Examples: Heads-up digitizing (tracing over a scanned historical map on your computer screen); converting an existing paper contour map into a digital DEM; scanning a hardcopy blueprint.
Data Quality in SDTS (Lectures pp.18–19)
The Spatial Data Transfer Standard (SDTS) defines five components of data quality:
- Lineage: Source materials, methods of derivation, and transformations applied. Includes temporal information.
- Positional Accuracy: Accuracy of the spatial component, subdivided into horizontal and vertical accuracy.
- Attribute Accuracy: Accuracy of the thematic component. Tests vary by measurement scale.
- Logical Consistency: Fidelity of relationships encoded in the database (valid attribute values, topological consistency).
- Completeness: Relationship between database objects and the abstract universe of all such objects.
2. The 5 Macro-Level Components of Data Quality
PAST EXAM QUESTIONS ON THIS TOPIC:
- What are the direct and indirect methods of spatial data capture? List them. And explain any three data quality parameters [3+3] (2071 Magh, Q2b)
- Describe briefly about the macro -level components of data quality [6] (2075 Bhadra, Q4)
When examiners ask for data quality parameters or macro-level components, they want you to list these exact five metrics. If a dataset fails even one of these, it is considered poor quality.
- Positional Accuracy: How closely the coordinate ($X, Y, Z$) of a feature in the GIS matches its true physical location on the Earth. (e.g., Is the water pipe actually where the map says it is?)
- Attribute Accuracy: The correctness of the descriptive tabular data attached to the geometry. (e.g., The pipe is drawn in the right place, but does the table correctly list it as PVC, or mistakenly list it as Cast Iron?)
- Logical Consistency (Topology): Do the geometric features follow mathematical and logical rules? (e.g., Do the road lines perfectly connect at the intersection, or is there a microscopic gap preventing the network routing tool from working?)
- Temporal Accuracy: Is the data relevant for the current time period? (e.g., Using a 2015 land-use map to plan a 2026 highway alignment has terrible temporal accuracy because thousands of new houses have likely been built since then.)
- Data Completeness: Is anything missing from the dataset? (e.g., Did the surveyors map 100% of the ward's fire hydrants, or did they stop early and only map 85%?)
3. The Significance of Data Accuracy in GIS Analysis
In civil engineering, spatial analysis is used for legally binding decisions. If a cadastral map lacks positional accuracy, land ownership disputes arise. If a utility network lacks logical consistency, excavation crews might strike an unmapped gas line. Accuracy ensures safety, legal compliance, and economic efficiency.
4. What is Metadata? (3 Marks)
PAST EXAM QUESTIONS ON THIS TOPIC:
- Write short notes on: Metadata [3] (2071 Magh, Q6a)
- Definition: Metadata is simply "data about the data."
- Explanation: Think of it like the nutrition label on a can of soup. When you download a shapefile from the internet, you have no idea where it came from. The Metadata file (usually an .XML file attached to the shapefile) tells you the crucial history: Who created it? When was it published? What coordinate system does it use? What is its positional accuracy?
- Importance: Without metadata, a professional engineer cannot legally or ethically trust a dataset for a critical design project because they cannot verify its accuracy or origin.
Solved Numerical Examples (Past Exam Questions)
The following are fully worked solutions from IOE past examination papers. Three unique solution types cover every numerical variant that has appeared in this chapter.
List of All Numerical Questions from Past Papers
| Exam | Q No. | Question | Marks | Type |
|---|---|---|---|---|
| 2079 Chaitra | Q2a | Allowable RMS error for 1:20,000 scale map | 3 | Type 1 |
| 2079 Chaitra | Q2b | Distance between A(24.5°N, 83.5°E) and B(24.6°N, 84.5°E), R = 6378 km | 3 | Type 2 |
| 2078 Chaitra | Q2a | Allowable RMS error for 1:25,000 scale map | 3 | Type 1 |
| 2076 Bhadra | Q2b | Allowable RMS error for 1:25,000 scale map | Part of 3 | Type 1 |
| 2076 Bhadra | Q2c | Difference between 1° latitude and 1° longitude distance (WGS84) | — | Type 3 |
| 2075 Bhadra | Q2b | Allowable RMS error for 1:2,500 (UTM) → answer 1.29 m | — | Type 1 |
| 2074 Magh | Q2b | Allowable errors for 1:30,000 and 1:5,000 maps | Part of 5 | Type 1 |
| 2071 Bhadra | Q2c | Allowable RMS error in 1:15,000 and 1:5,000 maps | 2 | Type 1 |
Solution Type 1: Allowable RMS Error Calculation
PAST EXAM QUESTIONS ON THIS TOPIC:
- What is the allowable RMS error for 1:20000 scale map? [3] (2079 Chaitra, Q2a)
- What is the allowable RMS error for 1:25,000 scale map? [3] (2078 Chaitra, Q2a)
- Explain about accuracy and precision [Part of 3] (2076 Bhadra, Q2b)
- Calculate allowable RMS error for a map of scale at 1:2500 [2] (2075 Bhadra, Q2b)
- Calculate the allowable errors for 1:30,000 and 1:5,000 scale maps [Part of 5] (2074 Magh, Q2b)
- Calculate the allowable RMS error in 1:15,000 & 1:5,000 map [2] (2071 Bhadra, Q2c)
| Condition | Scale Range | CE90 Allowance | CE90 in mm |
|---|---|---|---|
| Condition 1 | Scales larger than 1:20,000 (e.g., 1:2,500, 1:5,000, 1:15,000) | 1/30th of an inch | 0.84667 mm |
| Condition 2 | Scales 1:20,000 and smaller (e.g., 1:20,000, 1:25,000, 1:30,000) | 1/50th of an inch | 0.508 mm |
Example A — Solving for 1:5,000 scale map
PAST EXAM QUESTIONS ON THIS TOPIC:
- Explain accuracy and precision in GIS [Part of 5] (2074 Magh, Q2b)
- Calculate the allowable RMS error in 1:15,000 & 1:5,000 map [2] (2071 Bhadra, Q2c)
Step 1: Identify the Condition.
Scale = 1:5,000. Since 5,000 < 20,000, this is a larger scale map → Condition 1 applies.
Step 2: Calculate CE90 at Map Scale.
Step 3: Convert to Ground Distance.
Step 4: Calculate RMSE.
Example B — Solving for 1:25,000 scale map
PAST EXAM QUESTIONS ON THIS TOPIC:
- What is the allowable RMS error for 1:25,000 scale map? [3] (2078 Chaitra, Q2a)
- Explain about accuracy and precision [Part of 3] (2076 Bhadra, Q2b)
Step 1: Identify the Condition.
Scale = 1:25,000. Since 25,000 ≥ 20,000, this is a smaller scale map → Condition 2 applies.
Step 2: Calculate CE90 at Map Scale.
Step 3: Convert to Ground Distance.
Step 4: Calculate RMSE.
Example C — Solving for 1:20,000 scale map
PAST EXAM QUESTIONS ON THIS TOPIC:
- What is the allowable RMS error for 1:20000 scale map? [3] (2079 Chaitra, Q2a)
Step 1: Scale = 1:20,000. Since 20,000 ≥ 20,000 → Condition 2 applies.
Quick Reference Table: All Scale Answers
| Map Scale | Condition | CE90 (ground) | RMSE (answer) |
|---|---|---|---|
| 1:2,500 | 1 (larger) | 2.117 m | 1.29 m |
| 1:5,000 | 1 (larger) | 4.233 m | 2.57 m |
| 1:15,000 | 1 (larger) | 12.70 m | 7.72 m |
| 1:20,000 | 2 (smaller) | 10.16 m | 6.18 m |
| 1:25,000 | 2 (smaller) | 12.70 m | 7.72 m |
| 1:30,000 | 2 (smaller) | 15.24 m | 9.27 m |
Solution Type 2: Distance Between Two Points on a Sphere
PAST EXAM QUESTIONS ON THIS TOPIC:
- Find the distance between points A(24.5░N, 83.5░E) and B(24.6░N, 84.5░E) in km, for the radius of the earth 6378 km assuming earth's shape as a sphere [3] (2079 Chaitra, Q2b)
This requires the Spherical Law of Cosines.
Given:
- Radius (R) = 6378 km
- φ1 (Latitude of A) = 24.5°
- φ2 (Latitude of B) = 24.6°
- Δλ (Longitude difference) = 84.5° − 83.5° = 1.0°
Step 1: Convert Degrees to Radians.
φ2 = 24.6° × (π / 180) = 0.42935 rad
Δλ = 1.0° × (π / 180) = 0.01745 rad
Step 2: Apply the Spherical Law of Cosines Formula.
Step 3: Calculate Each Term.
| Term | Calculation | Value |
|---|---|---|
| sin(24.5°) · sin(24.6°) | 0.41469 × 0.41628 | 0.17263 |
| cos(24.5°) · cos(24.6°) · cos(1.0°) | 0.90996 × 0.90923 × 0.99985 | 0.82724 |
| Sum | 0.17263 + 0.82724 | 0.99987 |
| arccos(0.99987) | — | 0.01597 rad |
Step 4: Calculate Distance.
Solution Type 3: Difference Between 1° Latitude and 1° Longitude
PAST EXAM QUESTIONS ON THIS TOPIC:
- What would be the difference between the distance on earth presented by 1-degree latitude and 1-degree longitude if the radius of the earth at the equator is 6378137 m and the radius of earth along poles is 6356752.3142 m for WGS1984 system? [4] (2076 Bhadra, Q2c)
This question tests your understanding of Earth as an oblate ellipsoid. Since the Earth bulges at the equator and flattens at the poles, the distance covered by 1° of longitude (measured along the equatorial circle) is slightly longer than 1° of latitude (measured along the polar meridian).
Given (WGS 84):
- Equatorial radius: a = 6,378,137 m
- Polar radius: b = 6,356,752.3142 m
Step 1: Distance of 1° Longitude (at the Equator).
The equator is a perfect circle with radius a.
Step 2: Average Distance of 1° Latitude.
The meridian (pole-to-pole) uses the polar radius b.
Step 3: Calculate the Difference.
Difference = (π / 180) × (a − b) = (π / 180) × (6,378,137 − 6,356,752.3142) = (π / 180) × 21,384.6858 = 373.23 m
Chapter Summary
This chapter covers data input methods and data quality in GIS. Major data feeds include: maps (digitized via scanning or manual digitizing), GPS (field-collected coordinates), images (satellite and aerial imagery), and existing databases. Data input methods encompass keyboard entry, manual digitizing (point-mode and stream-mode), scanning, coordinate geometry (COGO), and photogrammetry. The chapter discusses commercial data providers and how to locate and evaluate spatial data. Data formats are covered including vector formats (Shapefile, GeoJSON, KML, GML) and raster formats (GeoTIFF, JPEG, IMG). Data quality is critical — involving positional accuracy, attribute accuracy, completeness, logical consistency, and temporal currency. Metadata (data about data) documents lineage, accuracy, and format information essential for proper data usage and sharing.