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Chapter 4

Data Sources

Syllabus & Marks Distribution

DetailInformation
Chapter4 — Data Sources
Teaching Hours3 hours
Marks Allocation6 marks
Total Course Marks80 marks
Weight7.5% 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.

ExamMarks
2071 Bhadra—
2071 Magh9
2072 Ashwin5
2072 Magh12
2073 Bhadra—
2073 Magh6
2074 Bhadra—
2074 Magh—
2075 Bhadra6
2075 Magh—
2076 Bhadra3
2078 Chaitra4
2079 Chaitra4
2080 Chaitra—
2081 Chaitra4
2082 Shrawan8

Frequently Asked Topics

TopicTimes AskedFrequency
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

TopicImportanceKey Points / Exam Tips
Data input methods (digitizing, scanning)HighExplain manual digitizing vs scanning with advantages/disadvantages. Know point-mode vs stream-mode digitizing.
Data quality componentsHighFive components: positional accuracy, attribute accuracy, completeness, logical consistency, temporal accuracy. Give examples for each.
Sources of error in GIS dataMediumErrors in data collection, input, storage, manipulation, and output stages.
MetadataMediumDefine metadata, explain its importance, list key metadata elements (who, what, when, where, why, how).
Major data feeds to GISMediumMaps, GPS, satellite imagery, field surveys, existing databases. Characteristics of each source.
Data formats (vector and raster)LowKnow common formats: Shapefile, GeoTIFF, KML, GeoJSON.
GPS as data sourceMediumOften 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:

  1. 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:

2. Location Errors vs. Topological Errors (4 Marks)

This is a critical distinction in GIS data quality:

AspectLocation (Positional) ErrorsTopological Errors
DefinitionCoordinates of a feature do not match its true position on the groundSpatial relationships between features are logically incorrect
What is affectedGeometric accuracy (position)Logical consistency (connectivity, adjacency, containment)
CauseGPS error, poor georeferencing, datum mismatch, digitizing inaccuracyCareless digitizing, snapping tolerance issues, edge-matching errors
ExamplesA well plotted 15m from its true location; a road shifted 5m eastOvershoots, undershoots (dangles), slivers, unclosed polygons, gaps between adjacent polygons
DetectionComparing with ground truth (GPS survey, control points); RMSE calculationTopology validation rules in GIS software
CorrectionRubber-sheeting, affine transformation, re-georeferencingSnapping, extending lines, removing slivers, closing polygons
ImpactWrong distances, areas, and spatial relationshipsNetwork analysis fails; area calculations wrong; overlay produces errors
[!] Overshoot Main Road Node Side road Excess (dangling arc) Line extends past the node Creates a "dangling arc" beyond the intersection Fix: Snap / Trim tolerance [!] Undershoot Main Road Node Side road Gap! (no connection) Line stops short of the node Breaks network connectivity– routing fails at this junction Fix: Extend / Snap tolerance [!] Sliver Polygon Parcel A Parcel B Sliver (gap) Tiny gap between polygons Created when adjacent edges don't perfectly align/snap Fix: Topology rules / Snap
Fig 4.1 – Common Topological Digitizing Errors: Overshoot (excess arc past node), Undershoot (gap before node), and Sliver Polygon (misaligned boundary gap)

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:

GPS Data Integration Pipeline — 5 Steps Step 1 GPS Field Collection Handheld GPS / Rover Waypoints + Attributes Output: .GPX / .CSV Step 2 Import to GIS (XY Data) Add XY Data tool Table → Point layer Tool: Display XY Data Step 3 Define CRS (WGS 1984) Assign coordinate ref EPSG:4326 (Lat/Long) Tool: Define Projection Step 4 Project to MUTM (meters) Convert to local CRS ° → meters (planar) Tool: Project Raster/FC Step 5 Spatial Analysis Buffer, Overlay, Query, Map Output Ready Field Office Define Project Analyze
Fig 4.2 – Workflow: Integrating GPS Data into GIS (5-step pipeline from field collection to spatial analysis)

Part 2: Major Data Feeds to GIS and Their Characteristics (Section 4.2)

PAST EXAM QUESTIONS ON THIS TOPIC:

  1. Explain the major data sources for Geographic Information System [6] (2072 Magh, Q4)
  2. Write the sources of data feed to GIS and their characteristics [5] (2072 Ashwin, Q2a)
  3. 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:

GIS Data Sources Overview Primary Sources Directly collected from the real world GNSS / GPS Field Surveys Point-based, highly accurate. Manholes, boundary pegs, utilities. Output: .GPX / .CSV → Import as XY data Remote Sensing (Satellites & Drones) Continuous raster coverage. NDVI, land-use classification. Landsat, Sentinel, DJI drones → GeoTIFF Total Station / Conventional Survey Millimeter-level precision. Dam layouts, building setouts. EDM + Theodolite → Electronic survey data Secondary Sources Derived from existing data Digitized / Scanned Maps Cost-effective for historical data. Prone to paper shrinkage. Scan → Georeference → Heads-up digitize Digital Elevation Models (DEMs) 3D raster surfaces for slope, watershed, terrain analysis. SRTM / ASTER GDEM → free global coverage Tabular Census / Survey Data Non-spatial attributes joined to polygons via common ID. Population, tax records → Table Join to wards
Fig 4.3 – Primary vs. Secondary GIS Data Sources: direct field collection versus derived/existing data

Primary Data Sources (Directly Collected):

Secondary Data Sources (Derived / Existing):

Three Types of Errors (Textbook p.287)

  1. 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.
  2. 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.
  3. 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:

  1. 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:

VS Positional Accuracy "Is it in the right place?" High accuracy = tight cluster Closeness of map coordinates to true ground positions Measured by: • RMS Error (meters) • Comparison to GPS control pts Road mapped at exact GPS coordinates = High Positional Accuracy Attribute Accuracy "Is the description correct?" ROAD_ID TYPE LANES RD-101 Pitched 4 RD-202 Pitched 4 Actual: Dirt road 2 lanes Table says "4-lane pitched" but it's "2-lane dirt" = Low Attribute Accuracy
Fig 4.4 – Positional Accuracy (spatial location) vs. Attribute Accuracy (descriptive data correctness)

4.3 Maps, GPS, Images, Databases (Sources & Importance)

PAST EXAM QUESTIONS ON THIS TOPIC:

  1. What are the basic sources of data for GIS? [3] (2076 Bhadra, Q1b)
  2. Explain the data sources of GIS. Why acquisition of data is considered an important task in GIS? [2+2] (2079 Chaitra, Q1b)
  3. 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:

2. Why is Data Acquisition/Collection the Most Important Process?

PAST EXAM QUESTIONS ON THIS TOPIC:

  1. Explain the data sources of GIS. Why acquisition of data is considered an important task in GIS? [2+2] (2079 Chaitra, Q1b)
  2. 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 80% Data Collection & Cleaning 20% Analysis ⏱ Time Collection & entry dominate Budget Most funds → data work In real GIS projects, data acquisition consumes 80% of time & budget — analysis is only 20%. GIGO Principle Garbage In → Garbage Out [!] Bad Input Flawed DEM GIS Bad Output GIS software is just a calculator. It assumes your input data is perfect. Bad DEM → wrong flood plain → bridges at wrong elevation → budget explosion
Fig 4.5 – The 80/20 Rule (data dominates project time/budget) and GIGO Principle (bad input = bad output)

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:

Evaluating Data Quality

Once located, data must be evaluated before use. Key evaluation criteria include:

CriterionWhat to Check
Positional AccuracyHow close are the coordinates to true ground positions? (RMSE value)
Attribute AccuracyAre the non-spatial attributes (land use type, elevation value) correct?
Temporal CurrencyWhen was the data collected? Is it recent enough for the project?
CompletenessDoes the dataset cover the entire study area? Are there missing features?
Logical ConsistencyAre there topological errors (gaps, overlaps, dangles)?
Scale/ResolutionIs the data detailed enough? A 1:50,000 map won't work for a building-level analysis.
LineageWhat was the original data source and how was it processed?
Format CompatibilityCan the data be imported into your GIS software (Shapefile, GeoJSON, GeoTIFF)?
Practical Tip: Always check the metadata before using any dataset. Metadata tells you the coordinate system, accuracy, date of collection, and source — critical information for assessing fitness-for-use. A dataset without metadata should be treated with caution.

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:

  1. 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)
  2. Describe briefly about the macro -level components of data quality [6] (2075 Bhadra, Q4)
  3. Write short notes on: Metadata [3] (2071 Magh, Q6a)

1. Direct vs. Indirect Methods of Spatial Data Capture

PAST EXAM QUESTIONS ON THIS TOPIC:

  1. 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)
Spatial Data Capture Methods Direct Capture Original data from the real world GPS Survey Field waypoints Property corners → .GPX / .CSV Drone / UAV Aerial photography Orthomosaics → GeoTIFF Total Station mm-level precision Engineering sites → EDM data High accuracy | Current data | Expensive & time-consuming You are physically present in the field Indirect Capture Derived from existing sources Digitizing Tracing over scanned maps → Shapefile Conversion Paper contours → digital DEM → Raster grid Scanning Paper blueprints → georeferenced → Raster image Cost-effective | Historical data | Error-prone & dated Working at the computer with existing sources
Fig 4.6 – Direct vs. Indirect Spatial Data Capture Methods

Data Quality in SDTS (Lectures pp.18–19)

The Spatial Data Transfer Standard (SDTS) defines five components of data quality:

  1. Lineage: Source materials, methods of derivation, and transformations applied. Includes temporal information.
  2. Positional Accuracy: Accuracy of the spatial component, subdivided into horizontal and vertical accuracy.
  3. Attribute Accuracy: Accuracy of the thematic component. Tests vary by measurement scale.
  4. Logical Consistency: Fidelity of relationships encoded in the database (valid attribute values, topological consistency).
  5. 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:

  1. 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)
  2. Describe briefly about the macro -level components of data quality [6] (2075 Bhadra, Q4)
  • If a surveyor collects data using GPS, how can this data be integrated into a GIS system? (2081 Chaitra)
  • Explain the accuracy of GIS Data in terms of positional, logical, attribute, temporal accuracy and data completeness. (2082 Shrawan)
  • If a surveyor collects data using GPS, how can this data be integrated into a GIS system? (2081 Chaitra)
  • Explain the accuracy of GIS Data in terms of positional, logical, attribute, temporal accuracy and data completeness. (2082 Shrawan)
  • 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.

    Data Quality 5 Macro Components 1 Positional Accuracy Is feature at correct location? Measured by RMS error (m) 2 Attribute Accuracy Is description data correct? Table values match reality 3 Logical Consistency Do features follow rules? Topology, no gaps/overlaps 4 ⏱Temporal Accuracy Is data current / relevant? 2015 map ≠ 2026 reality 5 [OK] Data Completeness Is everything captured? No missing features?
    Fig 4.7 – The Five Macro-Level Components of Data Quality (hub-spoke model)
    1. 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?)
    2. 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?)
    3. 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?)
    4. 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.)
    5. 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:

    1. Write short notes on: Metadata [3] (2071 Magh, Q6a)
    What is Metadata? "Data about the Data" Analogy: Like a nutrition label on a can of soup — it tells you what's inside before you open it. Format: .XML file attached to shapefile Standards: ISO 19115 / FGDC-CSDGM [!]Why it matters: Without metadata, engineers cannot legally or ethically trust a dataset for critical projects. Metadata Record (Example) Title: Kathmandu Ward Boundaries 2023 Creator: Survey Department, Government of Nepal Date: 2023-06-15 (Published) CRS: EPSG:32645 — WGS 84 / UTM Zone 45N Accuracy: RMS ±2.5m (GPS control points) Format: ESRI Shapefile (.shp/.dbf/.shx/.prj)
    Fig 4.8 – Metadata: "Data about the Data" — concept and example record layout

    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

    ExamQ No.QuestionMarksType
    2079 ChaitraQ2aAllowable RMS error for 1:20,000 scale map3Type 1
    2079 ChaitraQ2bDistance between A(24.5°N, 83.5°E) and B(24.6°N, 84.5°E), R = 6378 km3Type 2
    2078 ChaitraQ2aAllowable RMS error for 1:25,000 scale map3Type 1
    2076 BhadraQ2bAllowable RMS error for 1:25,000 scale mapPart of 3Type 1
    2076 BhadraQ2cDifference between 1° latitude and 1° longitude distance (WGS84)—Type 3
    2075 BhadraQ2bAllowable RMS error for 1:2,500 (UTM) → answer 1.29 m—Type 1
    2074 MaghQ2bAllowable errors for 1:30,000 and 1:5,000 mapsPart of 5Type 1
    2071 BhadraQ2cAllowable RMS error in 1:15,000 and 1:5,000 maps2Type 1

    Solution Type 1: Allowable RMS Error Calculation

    PAST EXAM QUESTIONS ON THIS TOPIC:

    1. What is the allowable RMS error for 1:20000 scale map? [3] (2079 Chaitra, Q2a)
    2. What is the allowable RMS error for 1:25,000 scale map? [3] (2078 Chaitra, Q2a)
    3. Explain about accuracy and precision [Part of 3] (2076 Bhadra, Q2b)
    4. Calculate allowable RMS error for a map of scale at 1:2500 [2] (2075 Bhadra, Q2b)
    5. Calculate the allowable errors for 1:30,000 and 1:5,000 scale maps [Part of 5] (2074 Magh, Q2b)
    6. Calculate the allowable RMS error in 1:15,000 & 1:5,000 map [2] (2071 Bhadra, Q2c)
    The Hidden IOE Rule: Examiners use the U.S. National Map Accuracy Standards (NMAS). The rule depends on whether the map scale is larger or smaller than 1:20,000.
    ConditionScale RangeCE90 AllowanceCE90 in mm
    Condition 1Scales larger than 1:20,000 (e.g., 1:2,500, 1:5,000, 1:15,000)1/30th of an inch0.84667 mm
    Condition 2Scales 1:20,000 and smaller (e.g., 1:20,000, 1:25,000, 1:30,000)1/50th of an inch0.508 mm
    RMSE = CE90 / 1.6449
    Verification: For a 1:2,500 map (Condition 1), CE90 = 0.84667 mm × 2500 = 2.1167 m. Thus, RMSE = 2.1167 / 1.6449 = 1.29 m — matching the answer given in the 2075 Bhadra question exactly.

    Example A — Solving for 1:5,000 scale map

    PAST EXAM QUESTIONS ON THIS TOPIC:

    1. Explain accuracy and precision in GIS [Part of 5] (2074 Magh, Q2b)
    2. Calculate the allowable RMS error in 1:15,000 & 1:5,000 map [2] (2071 Bhadra, Q2c)
    Question: Calculate the allowable RMS error for a 1:5,000 scale map.

    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.

    Map Error Limit (CE90) = 1/30 inch = 0.84667 mm = 0.00084667 m

    Step 3: Convert to Ground Distance.

    Ground CE90 = 0.00084667 m × 5,000 = 4.233 m

    Step 4: Calculate RMSE.

    RMSE = 4.233 / 1.6449 = 2.57 meters

    Example B — Solving for 1:25,000 scale map

    PAST EXAM QUESTIONS ON THIS TOPIC:

    1. What is the allowable RMS error for 1:25,000 scale map? [3] (2078 Chaitra, Q2a)
    2. Explain about accuracy and precision [Part of 3] (2076 Bhadra, Q2b)
    Question: What is the allowable RMS error for a 1:25,000 scale map? [3 marks]

    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.

    Map Error Limit (CE90) = 1/50 inch = 0.508 mm = 0.000508 m

    Step 3: Convert to Ground Distance.

    Ground CE90 = 0.000508 m × 25,000 = 12.70 m

    Step 4: Calculate RMSE.

    RMSE = 12.70 / 1.6449 = 7.72 meters

    Example C — Solving for 1:20,000 scale map

    PAST EXAM QUESTIONS ON THIS TOPIC:

    1. What is the allowable RMS error for 1:20000 scale map? [3] (2079 Chaitra, Q2a)
    Question: What is the allowable RMS error for a 1:20,000 scale map? [3 marks]

    Step 1: Scale = 1:20,000. Since 20,000 ≥ 20,000 → Condition 2 applies.

    Ground CE90 = 0.000508 m × 20,000 = 10.16 m
    RMSE = 10.16 / 1.6449 = 6.18 meters

    Quick Reference Table: All Scale Answers

    Map ScaleConditionCE90 (ground)RMSE (answer)
    1:2,5001 (larger)2.117 m1.29 m
    1:5,0001 (larger)4.233 m2.57 m
    1:15,0001 (larger)12.70 m7.72 m
    1:20,0002 (smaller)10.16 m6.18 m
    1:25,0002 (smaller)12.70 m7.72 m
    1:30,0002 (smaller)15.24 m9.27 m

    Solution Type 2: Distance Between Two Points on a Sphere

    PAST EXAM QUESTIONS ON THIS TOPIC:

    1. 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)
    Question: 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.

    This requires the Spherical Law of Cosines.

    Given:

    Step 1: Convert Degrees to Radians.

    φ1 = 24.5° × (π / 180) = 0.42761 rad
    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.

    d = R · arccos[ sin(φ1) · sin(φ2) + cos(φ1) · cos(φ2) · cos(Δλ) ]

    Step 3: Calculate Each Term.

    TermCalculationValue
    sin(24.5°) · sin(24.6°)0.41469 × 0.416280.17263
    cos(24.5°) · cos(24.6°) · cos(1.0°)0.90996 × 0.90923 × 0.999850.82724
    Sum0.17263 + 0.827240.99987
    arccos(0.99987)—0.01597 rad

    Step 4: Calculate Distance.

    d = 6378 km × 0.01597 rad = 101.86 km

    Solution Type 3: Difference Between 1° Latitude and 1° Longitude

    PAST EXAM QUESTIONS ON THIS TOPIC:

    1. 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)
    Question: 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 6,378,137 m and the radius of Earth along poles is 6,356,752.3142 m for WGS 1984 system?

    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):

    Step 1: Distance of 1° Longitude (at the Equator).

    The equator is a perfect circle with radius a.

    1° Longitude = (2πa) / 360 = (π × 6,378,137) / 180 = 111,319.49 m

    Step 2: Average Distance of 1° Latitude.

    The meridian (pole-to-pole) uses the polar radius b.

    1° Latitude = (2πb) / 360 = (π × 6,356,752.3142) / 180 = 110,946.26 m

    Step 3: Calculate the Difference.

    Difference = 111,319.49 m − 110,946.26 m = 373.23 meters
    Shortcut formula for the exam:
    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.