Glacial cirques are considered as an important indicator in tracing the paleoclimate. Accurate identification and morphometric and allometric analyzes of cirques will separate and clean them from other pseudo-cirque symptoms. The purpose of this research; Identification, classification and analysis of morphometric and allometric parameters of glacial cirques of Dana heights in Kohkiloye and Boyer Ahmad provinces. After identifying 27 glacial sub-basins, 77 glacial cirques were identified in the region and were drawn on the classified slope map in two formats, linear and polygonal. The operation of classifying circuses was carried out based on the methods of Wilburg and Rodberg, Evans and Cooks. For the morphometry of these cirques, parameters such as (L), (W), (H), (L/W), (L/H), (W/H) and the size of the cirque were used and its morphometric characteristics. has been checked. According to the research results, there are 37 N1 category circuses, 15 N2 category circuses, 20 N3 category circuses, and 5 N4 category circuses in these heights. The coefficient b on the longitudinal and transverse axes of N3, N2, and N1 categories is greater than one. As a result, allometric and isometric behavior in these altitudes is positive for circuses of this category. Also, the average coefficient b on the longitudinal axis of N4 category circuses and the average coefficient a on the transverse axis of circuses of this category is less than 1. As a result, in these irregularities, the coefficient is B>1 and A<1 for both. As a result, the allometric and isometric behavior in these altitudes is negative for N4 category cirques.
 

Characterizing the scaling structure of topography is essential for linking observable land-surface morphology to the processes governing landscape evolution. Conventional geomorphometric approaches often describe terrain using self-affine models parameterized by a single roughness exponent, implicitly assuming statistical homogeneity across scales. Such formulations, however, may not adequately capture landscapes shaped by the coupled action of tectonic deformation, climatic forcing, and nonlinear erosional dynamics. In this study, we evaluate the scale dependence of surface roughness using high-resolution digital elevation data from the Iranian Plateau, a morphotectonically diverse region representative of actively evolving continental domains in West Asia. Fractal analysis based on box-counting yields a dimension of Df≈2.20, while spectral analysis of elevation fields provides a Hurst-type roughness exponent of α≈0.48. The lack of agreement with the canonical self-affine relation Df=3−α indicates that the terrain cannot be characterized by a single scaling descriptor. To investigate this departure, we compute higher-order statistical measures of elevation variability, including generalized structure functions, multiscale height–height correlations, and scale-dependent curvature metrics. These analyses reveal that the scaling exponents vary systematically with statistical moment, demonstrating clear multiscaling and supporting a multifractal description of the surface. The results suggest that topographic organization in tectonically active settings reflects heterogeneous process interactions operating over a hierarchy of spatial scales, rather than uniform rough-surface behavior. This work underscores the limitations of single-exponent geomorphic parameterizations and highlights the value of multifractal diagnostics for quantitative terrain analysis, comparative morphotectonic studies, and improved representation of landscape complexity in Earth-surface models.