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Ninth International Conference on Permafrost ... - IARC Research

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Alpine <strong>Permafrost</strong> Distributi<strong>on</strong> at Massif Scale: Assessment of Mean SurfaceTemperatures During Winter Equilibrium Period Thanks to Topoclimatic andGeomorphological Data (Combeynot Massif, French Alps)Xavier BodinUniversity Paris Diderot-Paris 7/Institute of Alpine Geography, Joseph Fourier University, Grenoble, FrancePhilippe SchoeneichInstitute of Alpine Geography, Joseph Fourier University, Grenoble, FranceM<strong>on</strong>ique FortUMR 8586 PRODIG, University Paris Diderot-Paris 7Introducti<strong>on</strong>Statistical modeling using BTS (Bottom Temperature of theSnow cover; Haeberli 1985) have been attempted by authors(e.g., Hoelzle 1992, Gruber & Hoelzle 2001, Lewkovicz& Ednie 2004) to model mountain permafrost distributi<strong>on</strong>.Field validati<strong>on</strong>s generally show good agreement with rockglaciers, which are the most comm<strong>on</strong> geomorphologicalevidences of the permafrost. The main limit of this approachis the necessity of well-distributed BTS data over the studiedarea.In the Combeynot massif (Hautes Alpes, France – around45.0°N, 6.4°E), numerous rock glaciers may be observed<strong>on</strong> various topoclimatic c<strong>on</strong>texts, whereas BTS datasets areavailable <strong>on</strong> some limited areas (Bodin 2007). In order to geta spatialized overview of the surface temperature, and henceof the permafrost presence, a linear relati<strong>on</strong>ship betweenthe main topoclimatic parameters (air temperature and solarradiati<strong>on</strong>) and the WEqT is proposed.A Spatial Model of the WEqTStarting hypothesisIn order to quantify respective influences of the mainparameters, the following hypotheses are made:• The WEqT is equal to the mean annual air temperature(MAAT), to which is added, or subtracted, the influences ofthe solar radiati<strong>on</strong> and the debris cover.• The thermal influence of the solar radiati<strong>on</strong> (α),positive, is linearly related to the potential solar incomingradiati<strong>on</strong> (PSIR) during summer (June–July–August) andproporti<strong>on</strong>al to the PSIR/PSIRmax ratio.• The thermal influence of the openwork debris mantles(β) is negative and, <strong>on</strong> yearly average, homogeneousindependently of other factors.• For similar topoclimatic c<strong>on</strong>diti<strong>on</strong>s, WEqT is equalfrom <strong>on</strong>e place to the other.Parameterizati<strong>on</strong> of the linear modelWithin the linear model of WEqT, the α and β parameterswere parameterized by minimizing the sum of residuals intwo steps:1. First, for rock glaciers with topoclimatic c<strong>on</strong>diti<strong>on</strong>sclose to those of the root of the Laurichard rockglacier, where BTS in 2004 shows a mean WEqT of-3.44°C. Due to very low PSIR, α was minimal, andthe adjustment led to β = -3.9°C.Figure 1. Processing steps (1 = calibrati<strong>on</strong> of α and β by numerical adjustment; 2 = GIS processing) to model WeqT.27

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