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《Journal of Glaciology and Geocryology》 1983-04
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Approach to the Mathematical Model of Zonality of High-Altitude Permafrost

Cheng Guodong and Wu Bangjun (Lanzhou Institute of Glaciology and Cryopedology, Academia Sinica)  
The changing trends of timberline, snow line, boundary line of mountain cold desert soil and permafrost lower limit with latitude are quite similar. By using the method of curve-fitting,the empirical relationship between lower limit of high-altitude permafrost(H) and latitude (φ) has been obtained. H = 3650 exp[-0.003( -25.37)2] + 1428. Tentatively applied, the results are satisfactory. This function has an extreme value and an inflection point, which is different from those mathematical models obtained before. As indicated by this function, starting from equator, the permafrost lower limit rises with increase of latitude, and reaches its extreme value of 5078 m a.s.l. at the latitude of 25°22'N, then it descends with increase of latitude; at the initial stage, the descending slope is steep, and reaches its maximum at the latitude of 38°N, then becomes gentle with increase of latitude. These features of the function are closely related to the features of mean latitudinal distribution of earth's radiation budget.
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