Geometric Evolution of Polygonal Terrain Networks in the Canadian High Arctic: Evidence of Increasing Regularity over Time

Polygon networks are usually described qualitatively as becoming more regular through time, but such a concept has yet to be demonstrated numerically. The aim of this study is to address this question quantitatively in order to determine if polygonal terrain networks actually become more regular as they develop. Spatial point pattern analysis (SPPA), which can quantify overall network geometries based on the randomness or regularity exhibited by the spatial arrangement of polygon-bounding trough intersections, was used at three ice-wedge polygon sites in the Canadian High Arctic. SPPA was applied in two ways: (i) on the present-day networks observed in the field; and (ii) on historical arrangements derived by distinguishing primary from secondary troughs. In all cases, the polygonal networks had undergone a statistically significant regularisation over the course of their development. Although the method was applied only to terrestrial ice-wedge polygons, such an approach may also be useful for interpreting the evolution of Antarctic sublimation polygons and geometrically similar polygonal networks on Mars. Copyright © 2012 John Wiley & Sons, Ltd. and Her Majesty the Queen in Right of Canada.

[1]  B. Hallet,et al.  Resurfacing time of terrestrial surfaces by the formation and maturation of polygonal patterned ground , 2003 .

[2]  D. Grattan,et al.  Erosion of the Geodetic Hills Fossil Forest, Axel Heiberg Island, Northwest Territories , 1995 .

[3]  Mathias Ulrich,et al.  Polygon pattern geomorphometry on Svalbard (Norway) and western Utopia Planitia (Mars) using high-resolution stereo remote-sensing data , 2011 .

[4]  B. Werner,et al.  Self-Organization of Sorted Patterned Ground , 2003, Science.

[5]  B. T. Werner,et al.  Nonlinear dynamics of ice-wedge networks and resulting sensitivity to severe cooling events , 2002, Nature.

[6]  J. Head,et al.  The role of thermal contraction crack polygons in cold-desert fluvial systems , 2008, Antarctic Science.

[7]  J. R. Mackay,et al.  Thermally induced movements in ice-wedge polygons, western arctic coast: a long-term study , 2002 .

[8]  M. Mellon,et al.  Periglacial landforms at the Phoenix landing site and the northern plains of Mars , 2008 .

[9]  E. de K. Leffingwell,et al.  Ground-Ice Wedges: The Dominant Form of Ground-Ice on the North Coast of Alaska , 1915, The Journal of Geology.

[10]  J. R. Mackay.  The Closing of Ice-wedge Cracks in Permafrost, Garry Island, Northwest Territories , 1975 .

[11]  B. Werner,et al.  Fracture networks in frozen ground , 2001 .

[12]  M. Dominik,et al.  The PLANET microlensing follow-up network: results and prospects for the detection of extra-solar planets , 1999 .

[13]  D. Sugden,et al.  Formation of patterned ground and sublimation till over Miocene glacier ice in Beacon Valley, southern Victoria Land, Antarctica , 2002 .

[14]  Pedro Pina,et al.  A multi-layer approach for the analysis of neighbourhood relations of polygons in remotely acquired images , 2010, Pattern Recognit. Lett..

[15]  S. V. Gasselt,et al.  Deposition and degradation of a volatile-rich layer in Utopia Planitia, and implications for climate history on Mars. , 2007 .

[16]  James W. Head,et al.  Antarctic dry valleys: Microclimate zonation, variable geomorphic processes, and implications for assessing climate change on Mars , 2007 .

[17]  J. Head,et al.  Distribution and origin of patterned ground on Mullins Valley debris-covered glacier, Antarctica: the roles of ice flow and sublimation , 2006, Antarctic Science.

[18]  D. Ming,et al.  H2O at the Phoenix Landing Site , 2009, Science.

[19]  A. Lachenbruch.  Mechanics of Thermal Contraction Cracks and Ice-Wedge Polygons in Permafrost , 1962 .

[20]  P. Dutilleul,et al.  Analysis of polygonal terrain landforms on Earth and Mars through spatial point patterns , 2009 .

[21]  P. Dutilleul,et al.  Comparison of ground- and aerial-based approaches for quantifying polygonal terrain network geometry on Earth and Mars via spatial point pattern analysis , 2010 .

[22]  J. Head,et al.  Thermal contraction crack polygons on Mars: Classification, distribution, and climate implications from HiRISE observations , 2009 .

[23]  S. Maurice,et al.  Spatial relationships between patterned ground and ground ice detected by the Neutron Spectrometer on Mars , 2004 .

[24]  Hugh M. French,et al.  The Periglacial Environment: French/The Periglacial Environment , 2007 .

[25]  Daniel C. Fortier,et al.  Late Holocene syngenetic ice-wedge polygons development, Bylot Island, Canadian Arctic Archipelago , 2004 .

[26]  M. Mellon,et al.  Crater floor polygons: Desiccation patterns of ancient lakes on Mars? , 2010 .

[27]  J. R. Mackay,et al.  The first 20 years (1978-1979 to 1998–1999) of ice-wedge growth at the Illisarvik experimental drained lake site, western Arctic coast, Canada , 2002 .

[28]  Raymond E. Arvidson,et al.  The periglacial landscape at the Phoenix landing site , 2009 .

[29]  L. A. Rossbacher.  Nearest-Neighbour Analysis: A Technique for Quantitative Evaluation of Polygonal Ground Patterns , 1986 .

[30]  N. Mangold.  High latitude patterned grounds on Mars: Classification, distribution and climatic control , 2005 .

[31]  J. R. Mackay.  Ice-Wedge Cracks, Garry Island, Northwest Territories , 1974 .

[32]  J. R. Mackay,et al.  Periglacial features developed on the exposed lake bottoms of seven lakes that drained rapidly after 1950, Tuktoyaktuk Peninsula area, western Arctic coast, Canada , 1999 .

[33]  A. McEwen,et al.  Observations of periglacial landforms in Utopia Planitia with the High Resolution Imaging Science Experiment (HiRISE) , 2009 .