
An isochrone map in
geography
Geography (from Ancient Greek ; combining 'Earth' and 'write', literally 'Earth writing') is the study of the lands, features, inhabitants, and phenomena of Earth. Geography is an all-encompassing discipline that seeks an understanding o ...
and
urban planning
Urban planning (also called city planning in some contexts) is the process of developing and designing land use and the built environment, including air, water, and the infrastructure passing into and out of urban areas, such as transportatio ...
is a map that depicts the area accessible from a point within a certain time threshold.
An
isochrone (iso = equal, chrone = time) is defined as "a line drawn on a map connecting points at which something occurs or arrives at the same time". In
hydrology
Hydrology () is the scientific study of the movement, distribution, and management of water on Earth and other planets, including the water cycle, water resources, and drainage basin sustainability. A practitioner of hydrology is called a hydro ...
and
transportation planning
Transportation planning is the process of defining future policies, goals, investments, and spatial planning designs to prepare for future needs to move people and goods to destinations. As practiced today, it is a collaborative process that i ...
isochrone maps are commonly used to depict areas of equal travel time. The term is also used in
cardiology
Cardiology () is the study of the heart. Cardiology is a branch of medicine that deals with disorders of the heart and the cardiovascular system. The field includes medical diagnosis and treatment of congenital heart defects, coronary artery di ...
as a tool to visually detect abnormalities using body surface distribution.
History

Early examples of Isochrone maps include the
Galton's ''Isochronic Postal Charts'' and ''Isochronic Passage Charts'' of 1881 and 1882,
Bartholomew's ''Isochronic Distance Map and Chart'' first published 1889,
and
Albrecht Penck's ''Isochronenkarte'' first published 1887.
Where as Galton and the Bartholomews published maps depicting the days or weeks it took to travel long distances, Albrecht further developed the idea to not only depict long distances and world travel but also smaller areas. Penck also created a series of maps that only depict the travel times of a certain transportation mode, for example
rail transport
Rail transport (also known as train transport) is a means of transport using wheeled vehicles running in railway track, tracks, which usually consist of two parallel steel railway track, rails. Rail transport is one of the two primary means of ...
. Isochrone maps are commonly used in the UK in connection with
development control.
Isochrones are currently typically computed by via generating
shortest-path tree
In mathematics and computer science, a shortest-path tree rooted at a vertex ''v'' of a connected, undirected graph ''G'' is a spanning tree ''T'' of ''G'', such that the path distance from root ''v'' to any other vertex ''u'' in ''T'' is the sho ...
s on network
graphs
Graph may refer to:
Mathematics
*Graph (discrete mathematics), a structure made of vertices and edges
**Graph theory, the study of such graphs and their properties
* Graph (topology), a topological space resembling a graph in the sense of discre ...
, and then generating a
convex hull
In geometry, the convex hull, convex envelope or convex closure of a shape is the smallest convex set that contains it. The convex hull may be defined either as the intersection of all convex sets containing a given subset of a Euclidean space, ...
around the accessible nodes. Increases in computation, data storage, and improvements in algorithms have facilitated the rapid generation of isochrones.
Recent techniques in visualization include linking travel times to network edges to show the paths accessible from a point rather than show the area accessible from a point.
Usage
Hydrology
Isochrone and related maps are used to show the time taken for
runoff water within a
drainage basin
A drainage basin is an area of land in which all flowing surface water converges to a single point, such as a river mouth, or flows into another body of water, such as a lake or ocean. A basin is separated from adjacent basins by a perimeter, ...
to reach a lake, reservoir or outlet, assuming constant and uniform effective rainfall.
An early example of this method was demonstrated by Clark in 1945.
Transport planning
Isochrone maps have been used in transportation planning since at least 1887.
Isochrone maps in the context of transport planning are essentially maps of
accessibility where travel time is used as the cost metric. Isochrone maps can be created for different
modes of transportation,
e.g. foot, bicycle, motor vehicle. Put simply, the output of an isochrone map for transport will show how far (in distance) is reachable from a start point, including the parameter of time.
Such maps for private motor transport were widely used in a 1972 study into airport accessibility in
Hampshire
Hampshire (, ; abbreviated to Hants.) is a Ceremonial counties of England, ceremonial county in South East England. It is bordered by Berkshire to the north, Surrey and West Sussex to the east, the Isle of Wight across the Solent to the south, ...
,
South East England
South East England is one of the nine official regions of England, regions of England that are in the ITL 1 statistical regions of England, top level category for Statistics, statistical purposes. It consists of the nine counties of england, ...
.
At that time, their use was disadvantaged by being time-consuming to create.
The term isodapane map is used to refer to a map were the contour represent transportation ''cost'' instead of transportation ''time''.
General public
Journey time websites have been built using mapping technologies and
open data
Open data are data that are openly accessible, exploitable, editable and shareable by anyone for any purpose. Open data are generally licensed under an open license.
The goals of the open data movement are similar to those of other "open(-so ...
.
Isochrones can be used by house hunters wishing to evaluate
residential area
A residential area is a land used in which housing predominates, as opposed to industrial and commercial areas.
Housing may vary significantly between, and through, residential areas. These include single-family housing, multi-family residen ...
s.
An isochrone map of the
London Underground
The London Underground (also known simply as the Underground or as the Tube) is a rapid transit system serving Greater London and some parts of the adjacent home counties of Buckinghamshire, Essex and Hertfordshire in England.
The Undergro ...
network was made available in 2007.
Services and applications
Several digital tools exist which can generate isochrone maps.
openstreetmap
OpenStreetMap (abbreviated OSM) is a free, Open Database License, open geographic database, map database updated and maintained by a community of volunteers via open collaboration. Contributors collect data from surveying, surveys, trace from Ae ...
-based solutions:
* CommuteTimeMap – Build and visualize isochrones worldwide
* Geoapify Isochrone API – API service to build isochrones for drive, truck, bicycle, walk and transit modes. Worldwide.
*
GraphHopper
GraphHopper is an open-source routing library and server written in Java and provides a routing API over HTTP. It runs on the server, desktop, Android, iOS or Raspberry Pi. By default OpenStreetMap data for the road network and elevation data fro ...
can be used to calculate a detailed time information for every point within a certain time or distance reach.
* GRASS v.net.iso module
* instaGIS
* Iso4App – Public Transport Isochrone maps (Isochrones based on GTFS data)
* Mapbox Isochrone API (interactive Mapbox example)
*
Mapumental
* OpenRouteService Isochrones Service – uses OSM data and map, shows isochrones worldwide (no source code available)
* OpenTripPlanner – a development branch has work on an Analytics Extension, which currently provides isochrones based on the OSM network and
GTFS data (source code available)
* OSRM Isochrone – Generate drivetime isochrones from OSM using
OSRM.
* pgRouting – The creation of journey time isochrones to airports in
Finland
Finland, officially the Republic of Finland, is a Nordic country in Northern Europe. It borders Sweden to the northwest, Norway to the north, and Russia to the east, with the Gulf of Bothnia to the west and the Gulf of Finland to the south, ...
has been explained using the
GIS software
A GIS software program is a computer program to support the use of a geographic information system, providing the ability to create, store, manage, query, Spatial analysis, analyze, and Cartographic design, visualize Geographic data and informati ...
QGIS
QGIS is a geographic information system (GIS) software that is free and open-source. QGIS supports Windows, macOS, and Linux. It supports viewing, editing, printing, and analysis of geospatial data in a range of data formats. Its name comes from ...
and pgRouting (an extension of
PostGIS
PostGIS ( ) is an open source software program that adds support for geographic objects to the PostgreSQL object-relational database. PostGIS follows the Simple Features for SQL specification from the Open Geospatial Consortium (OGC).
PostGIS is ...
).
* pysochrone is a
Python script and simple web interface for computing and displaying isochrones from an
OGR-supported data source (e.g.
PostGIS
PostGIS ( ) is an open source software program that adds support for geographic objects to the PostgreSQL object-relational database. PostGIS follows the Simple Features for SQL specification from the Open Geospatial Consortium (OGC).
PostGIS is ...
)
* Reachability Analysis – An application (built using WhereOS and OSM data) which calculates reachability (isochrone) from given set of addresses.
*
Safe Routes to School Mapping Toolkit – working to create travel distance/time web app for pedestrians and bicyclists using OSM data (source code available)
* TargomoAPI – Travel times, Routing, Points of Interests, Isochrones – developer tools to build state-of-the-art geospatial analytics applications, enhance location search, and personalize user experience. (Interactive Demo)
* TravelTime API Uses some OSM Data and has a free isochrone generator tool using public transport, cycling, walking, driving and combined bike and train. Available as a plugin for QGIS and ArcGIS.
* Valhalla isochrone service
* Walkscore Travel Time API – uses
GTFS and OSM data for maps of Seattle, San Francisco, and Washington DC. Built on the open source Graphserver library. (no source)
* WNYC Transit Time – public transit isochrones for NYC
* Stadia Maps Isochrone API (tutorial with an interactive
JSFiddle)
[https://docs.stadiamaps.com/routing/isochrones/]
GTFS-based solutions:
* Mapnificent
Proprietary data solutions:
*
Google Maps
Google Maps is a web mapping platform and consumer application offered by Google. It offers satellite imagery, aerial photography, street maps, 360° interactive panorama, interactive panoramic views of streets (Google Street View, Street View ...
API
An application programming interface (API) is a connection between computers or between computer programs. It is a type of software interface, offering a service to other pieces of software. A document or standard that describes how to build ...
* PedCatch
See also
*
Daily urban system
*
Public transport timetable
A public transport timetable (also timetable and North American English schedule) is a document setting out information on public transport service times. Both public timetables to assist passengers with planning a trip and internal timetables ...
*
Traffic congestion map
*
Transit map
A transit map is a topological map in the form of a schematic diagram used to illustrate the routes and stations within a public transport system—whether this be bus, tram, rapid transit, commuter rail or ferry routes. Metro maps, subway maps, ...
*
Walking distance measure
References
External links
{{commons category, Isochrone maps
Further Exploration #9: Isochrone Maps (Travel Time Maps)Travel time between American counties: 1880 and 1900
Urban planning
Hydrology models
Cardiology
Thematic maps
Transportation planning