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TEC-DATA85-09 · Lesson 2 · 10 clock hours · theory

Coordinate Reference Systems and Projections

Objective. Students will select an appropriate projected coordinate reference system (CRS) for a given analytical task and reproject a dataset in QGIS without geometric distortion errors.

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What Is a Coordinate Reference System?

A coordinate reference system (CRS) is a framework that ties every point in a spatial dataset to a real location on Earth. Without a CRS, a pair of numbers like (−87.63, 41.88) is meaningless — you cannot know whether it represents a street corner in Chicago or a point in the ocean. Every layer you load into QGIS carries a CRS, and that CRS must be understood before you measure, analyze, or publish anything.

There are two broad families of CRS that you will use constantly in GIS work.

Geographic Coordinate Systems

A geographic coordinate system (GCS) locates points using angular measurements: latitude (degrees north or south of the equator) and longitude (degrees east or west of the prime meridian). The most widely used GCS is WGS 84, registered as EPSG:4326. GPS receivers output WGS 84 coordinates, and most web basemaps reference data to it.

Because a GCS treats Earth as an ellipsoid and measures angles rather than flat distances, it is unsuitable for calculations that require real-world linear units. If you try to measure the area of a park or the length of a road while your data sits in WGS 84, your software will produce results in square degrees — a unit that has no consistent meaning on the ground. This is one of the most common errors beginning analysts make.

Projected Coordinate Systems

A projected coordinate system (PCS) applies a mathematical transformation — a map projection — to convert the curved surface of the Earth onto a flat plane. The result is coordinates expressed in linear units such as meters or feet, which makes distance, area, and direction calculations straightforward.

Every projection distorts at least one of four spatial properties: area, shape (conformality), distance, and direction. No single projection preserves all four simultaneously. Choosing the right projection means deciding which property matters most for your task:

UTM and State Plane

Two projected systems dominate US local and regional GIS work.

Universal Transverse Mercator (UTM) divides the world into 60 north–south zones, each 6° of longitude wide. The contiguous US spans roughly zones 10N through 19N. UTM uses meters and is well-suited for regional datasets that span hundreds of kilometers. For example, Chicago falls in UTM Zone 16N (EPSG:32616).

State Plane Coordinate System (SPCS) divides the US into over 100 zones designed to keep distortion very low within each state or region. Coordinates are in feet (US survey feet in most zones) or meters. State Plane is the standard for local government, surveying, and civil engineering work. Look up the correct EPSG code for your state's zone at epsg.io — for example, Illinois East is EPSG:26971 (NAD83).

On-the-Fly Reprojection in QGIS

QGIS can display layers with different CRSs together by reprojecting them on the fly — it converts coordinates temporarily for display without altering the stored data. This is helpful for a quick visual check, but it does not fix your data for analysis. When layers with mismatched CRSs are overlaid for measurement or geoprocessing, you must permanently reproject each layer to a common CRS using Vector → Data Management Tools → Reproject Layer (or the equivalent raster tool for raster data).

Always confirm the CRS of every layer before you begin analysis. In QGIS, right-click a layer, choose Properties, and open the Information or Source tab to read the assigned CRS. If a layer has no CRS assigned, QGIS may misplace it entirely — you must assign the correct CRS before reprojecting.

Identifying and Fixing CRS Mismatches

A reliable workflow for multi-layer projects:

1. Open each layer's properties and record its EPSG code.

2. Choose a target CRS appropriate for your analytical task and region (use epsg.io to confirm the code).

3. Reproject all layers to the target CRS and save the outputs as new files.

4. Load the reprojected layers and overlay them — features should align. A streets layer should follow the edges of parcels; coastlines should match census boundaries.

5. Document your chosen CRS and your rationale in your project notes.

Safety and Data Integrity Notes

GIS errors rarely create physical hazards, but they can cause serious analytical failures. Incorrect CRS selection has contributed to real-world errors in land management, utility siting, and emergency response routing. Treat CRS validation as a data quality checkpoint that must be completed before any output is shared or used for decisions. Never deliver a map or spatial dataset to a client or agency without verifying that all layers share a documented, appropriate CRS. Always keep original source files unchanged and save reprojected outputs as new files so the source data can be audited later.

Key terms10

Coordinate Reference System (CRS)A framework that links spatial data coordinates to actual locations on Earth, defined by a datum, a coordinate system, and (for projected systems) a map projection.
Geographic Coordinate System (GCS)A CRS that expresses locations as angular measurements — latitude and longitude — on an ellipsoidal model of the Earth; WGS 84 (EPSG:4326) is the most widely used example.
Projected Coordinate System (PCS)A CRS that applies a mathematical map projection to convert Earth's curved surface to a flat plane, expressing locations in linear units such as meters or feet.
Map ProjectionThe mathematical transformation used to represent Earth's curved surface on a flat map; every projection introduces distortion in area, shape, distance, or direction.
EPSG CodeA standardized numeric identifier assigned to a specific CRS by the EPSG Geodetic Parameter Dataset, used to unambiguously specify a CRS in GIS software (e.g., EPSG:4326 for WGS 84).
Universal Transverse Mercator (UTM)A worldwide projected coordinate system divided into 60 six-degree-wide zones; coordinates are in meters and distortion is low within each zone, making UTM suitable for regional GIS analysis.
State Plane Coordinate System (SPCS)A set of US regional projected CRS zones designed to minimize distortion within each state or sub-state region; commonly used in local government, surveying, and engineering.
On-the-Fly ReprojectionA QGIS feature that temporarily converts layers to a common display CRS for visualization only, without changing the underlying stored data or making the data suitable for accurate spatial analysis.
Equal-Area ProjectionA map projection that preserves the relative sizes of areas across the map, making it appropriate for tasks that compare or measure land areas.
DatumA reference surface — defined by the shape and size of an ellipsoid and its orientation to Earth — that underpins a CRS; common US datums include WGS 84 and NAD83.
In class: Instructor-led demonstration comparing geographic (latitude/longitude, WGS84 EPSG:4326) versus projected CRS (e.g., State Plane, UTM zones) using QGIS 'on-the-fly' reprojection; students sketch a diagram of how a globe is 'unwrapped' onto a flat plane. · Guided lab: students load three layers with mismatched CRSs, identify the mismatch using the QGIS layer properties panel, reproject all to a common projected CRS appropriate for their state (using EPSG lookup at epsg.io), and verify alignment by overlaying a streets layer. · Pair activity: each pair receives a spatial scenario card (e.g., 'measure acreage of city parks,' 'map sea-level rise risk') and must argue in writing which CRS is most appropriate and why, referencing distortion properties (area, shape, distance, direction).
Materials: QGIS 3.x, epsg.io reference site, US Census TIGER/Line shapefiles (publicly available), projection comparison handout adapted from USGS 'Map Projections—A Working Manual' public domain content, printed CRS cheat sheet
Check: Students submit a QGIS project file with three layers correctly reprojected to a single CRS and a one-paragraph explanation of their CRS choice. Instructor checks that the layer extents align visually and that the CRS choice is defensible; pass mark: correct reprojection plus justification scoring 3/4 on a rubric.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

Data Analysis and Visualization
1. A GIS analyst loads a parcel layer in WGS 84 (EPSG:4326) and uses the QGIS field calculator to compute each parcel's area. What is the most likely problem with the result?
Data Analysis and Visualization
2. Which projection property is most important to preserve when the analytical task is to compare the acreage of nature preserves across an entire US state?
Data Collection and Management
3. A student loads three shapefiles into QGIS. Two layers align correctly, but the third is offset by hundreds of kilometers. What is the most likely cause?
Data Analysis and Visualization
4. A city engineer in Illinois needs to measure road lengths with high accuracy. Which CRS is most appropriate?
Data Collection and Management
5. What does the EPSG code 4326 specifically identify?
Data Analysis and Visualization
6. A student uses QGIS on-the-fly reprojection to overlay a roads layer and a parcels layer from different CRSs. They look aligned on screen. Is it safe to run a spatial join between the two layers now?
Data Analysis and Visualization
7. A data analyst needs to create a map showing sea-level rise risk along a 200-mile coastal stretch. Which type of projection would be the best starting point for this task?
Data Collection and Management
8. When working in QGIS and permanently reprojecting a layer to a new CRS, which best practice protects the integrity of the original data?
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