Elevation-Relief Ratio, Hypsometric Integral, and Geomorphic Area-Altitude Analysis

Research Article| April 01, 1971 Elevation-Relief Ratio, Hypsometric Integral, and Geomorphic Area-Altitude Analysis RICHARD J PIKE; RICHARD J PIKE U.S. Geological Survey, 345 Middlefield Road, Menlo Park, California 94025 Search for other works by this author on: GSW Google Scholar STEPHEN E WILSON STEPHEN E WILSON U.S. Geological Survey, 345 Middlefield Road, Menlo Park, California 94025 PRESENT ADDRESS: (WILSON) DEPARTMENT OF MATHEMATICS, UNIVERSITY OF WASHINGTON, SEATTLE, WASHINGTON 98105 Search for other works by this author on: GSW Google Scholar Author and Article Information RICHARD J PIKE U.S. Geological Survey, 345 Middlefield Road, Menlo Park, California 94025 STEPHEN E WILSON PRESENT ADDRESS: (WILSON) DEPARTMENT OF MATHEMATICS, UNIVERSITY OF WASHINGTON, SEATTLE, WASHINGTON 98105 U.S. Geological Survey, 345 Middlefield Road, Menlo Park, California 94025 Publisher: Geological Society of America Received: 26 Jun 1970 Revision Received: 30 Oct 1970 First Online: 02 Mar 2017 Online ISSN: 1943-2674 Print ISSN: 0016-7606 Copyright © 1971, The Geological Society of America, Inc. Copyright is not claimed on any material prepared by U.S. government employees within the scope of their employment. GSA Bulletin (1971) 82 (4): 1079–1084. https://doi.org/10.1130/0016-7606(1971)82[1079:ERHIAG]2.0.CO;2 Article history Received: 26 Jun 1970 Revision Received: 30 Oct 1970 First Online: 02 Mar 2017 Cite View This Citation Add to Citation Manager Share Icon Share Facebook Twitter LinkedIn Email Permissions Search Site Citation RICHARD J PIKE, STEPHEN E WILSON; Elevation-Relief Ratio, Hypsometric Integral, and Geomorphic Area-Altitude Analysis. GSA Bulletin 1971;; 82 (4): 1079–1084. doi: https://doi.org/10.1130/0016-7606(1971)82[1079:ERHIAG]2.0.CO;2 Download citation file: Ris (Zotero) Refmanager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentBy SocietyGSA Bulletin Search Advanced Search Abstract Mathematical proof establishes identity of hypsometric integral and elevation-relief ratio, two quantitative topographic descriptors developed independently of one another for entirely different purposes. Operationally, values of both measures are in excellent agreement for arbitrarily bounded topographic samples, as well as for low-order fluvial watersheds. By using a point-sampling technique rather than planimetry, elevation-relief ratio (defined as mean elevation minus minimum elevation divided by relief) is calculated manually in about a third of the time required for the hypsometric integral. This content is PDF only. Please click on the PDF icon to access. First Page Preview Close Modal You do not have access to this content, please speak to your institutional administrator if you feel you should have access.