Mapping the Earth Objectives • • • • • • • • • • • • • • • Differentiate between planimetric and hypsometric maps List and recognize the ways in which 3 dimensions can be portrayed on a paper (2 dimensional) map. Define/describe map projections Identify common projection shapes Define/describe an undevelopable surface Identify where distortion is minimized and maximized in a projection Describe why a Mercator projection distorts area towards the poles. Define/describe: cartographic scale, ecological scale, grain, extent, representative fraction Explain why maps are models Explain the differences between a large and small cartographic scale in terms of detail and surface area represented. Match locations according to their latitude and longitude State the latitude and longitude for Lexington State the latitude and longitude for the Tropics of Cancer, Capricorn and for the Arctic and Antarctic circles. Explain how time zones are designed Explain UTC time Describe the difference between geographic and magnetic north Activities • Make a map catalog showing the following types of maps: – – – – – – – – – – Topographic Bathymetric Isohyets Isopachs Isotachs Isobars Geopotential heights Cylindrical projection map Conic projection map Planar projection map What is a map? • A map is a model used to convey patterns of physical or human processes and patterns • Maps are idealized representations of reality. • General map formats: – Mental or cognitive maps – Hardcopy (paper) maps – Virtual (digital code) maps Mental maps Paper maps Digital maps Digital maps Map information • Planimetric – Two-dimensional information • Hypsometric – Two dimensions plus a third dimension – Third dimension is typically relief or topography – Ways of depicting relief • Shading • Contour lines 9. Maps invoke symbolism Uphill direction Rapid change in elevation. Contour lines close together. Slow change in elevation. Contour lines far apart. The contour interval is 20 ft. Point elevations are: A = 700 ft B = 740 ft C = 770 ft D = 820 ft Types of contour maps • • • • • • • Topographic (terrestrial elevation) Bathymetric (sea floor elevation) Isohyets (rainfall) Isopachs (rock or sediment thickness) Isotachs (wind speed) Isobars (air pressure) Geopotential heights (altitude of a given air pressure) Topographic map Match the letter and number Bathymetric maps (ocean floor relief) Isobaric maps (air pressure) Individual lines are called isobars. Isobars (solid yellow lines) This is a strong low pressure system, which produced large amounts of snow and wind across the eastern US. In an isobaric map, where isolines are close together, winds are the strongest. Winds are strongest in Virginia, North Carolina, and West Virginia. Isohyets(precipitation) Isotach (wind speed) Colored areas represent isotachs, lines encompassing areas of equal windspeed. Contour interval = 10 knots Green lines are geopotential heights, the altitude at which one reaches 300 mb in air pressure. For example, 9720 represents 9720 meters. 300 mb in air pressure is reached when altitude is 9720 meters or about 32,000 ft. Geopotential height maps (constant pressure surface) Geopoential heights The blue lines are geopotential heights. Contour interval is 60 meters How high would you have to go up to reach 300 mb over Kentucky? Note that the wind barbs in this map convey the direction of wind flow. Isopach map (contour interval = 5 ft) show the thickness of rock layers or some subsurface feature. In this map they show the thickness of a rock layer known to produce oil. The round symbols are oil well locations and the depths (6000 – 7000 ft) drilled to reach oil. Why would oil drillers want to know the thickness of an oilbearing rock layer? Isopach map showing thickness of the limestone comprising the Florida Aquifer Isopach map showing thickness of hydrocarbonbearing strata in western Kentucky. Map projections • A projection is any number of cartographic models used to project the Earth’s curved surface as a flat surface Why don’t we just use a globe instead of flat maps? • Globes are virtually ideal models of the world: – – – – Correct shape Correct area Correct distances Correct direction Because, globes are: • Impractical • Expensive to manufacture • Difficult to plot routes on a curved surface • Users are overhead of a single point (perspective view), not an orthographic view (directly overhead of all points) • Instead, we use: Map projections What are the tradeoffs for projecting the globe onto a map? • A sphere is an undevelopable surface. An undevelopable surface cannot be flattened into two dimensions without some distortion. Types of projections Cylindrical projection 38 Conic projection 39 Planar projection 40 Distortion from projection • Every map projection distorts at least three and sometimes all four, of the following properties: shape, area, distance, and direction • No projected maps can have both true shape (conformality) and true area (equivalence). distortion ellipses The Mercator projection distorts area (look at Greenland), but shape is true Conformal (true shape) map projection 43 Equivalent (true area) map projection 44 Cartographic scale Cartographic scale • Map scale is the ratio of the size of an object on a map to its actual size • Map scale is expressed with a representative fraction (RF): – 1:50,000 – 1:10,000 • These can be interpreted as: 1 inch = 10,000 inch or 1 cm = 10,000 cm. Any unit can be used so long as they are on both sides of the equation. Cartographic scale • Assuming that you have two maps of the same paper size, which of the two RFs shows the most detail and the smaller surface area? 1:50,000 1:10,000 Impact of cartographic scale on representation of data 1:250,000 1:50,000 1:2,500 Operational scale Spatial and temporal dimension of an object or process Ecological scale Scale at which observations and measurements take place The geographic grid Parallels run EW but are measured NS. Meridian run NS but are measured EW Meridians (lines of longitude) converge at poles The distance spanned by a degree of longitude varies enormously between the Equator and the poles. True north vs magnetic north Magnetic declination: the difference in angle between a magnetic pole and a geographic pole (true north). Arctic Circle: 66.5 degrees N Antarctic Circle: 66.5 degrees S Tropic of Cancer: 23.5 degrees N Tropic of Capricorn: 23.5 degrees S Time zones (24 hours divided by 360 degrees equals 15 degree span for each time zone). UTC time – Coordinated Universal Time Calculating UTC time from LST in Lexington • From March 13 to Nov 6 2016 – This is during daylight savings time, when we have set our clocks ahead one hour to take advantage of the longer hours of daylight UTC = LST minus 4 hours • From Nov 6 up until March 13, 2016 – We set our clocks behind one hour UTC = LST minus 5 hours Practice • On Sept 3 (2016) if it is 10 am on the prime meridian (10Z), then it is 6 am here in Lexington. • On Dec 3 (2016) if it is 10 am on the prime meridian (10Z) then it is 5 am in Lexington. • Today, Jan 26, at 18Z is ____ in LST 1/23/16 00UTC 048 HR FCST VALID MON 1/25/16 00 UTC NCEP/NWS/NOAA When was this forecast model made in local Lexington time/day/date? When is this prediction valid in local Lexington time/day/date Match the locations with their lat and long: Romford, England Ropsha, Russia Rosales, Mexico Rosetown, Canada 51" 35' N 0" 11' E 59" 44' N 29" 53‘ E 28" 15' N 100" 43' W 51" 33' N 108" 00' W What is the latitude and longitude for Lexington in minutes and degrees?