TY - Data T1 - A1 - Documentation Information Center DO - 10.12389/ariddc.01786 PY - 2026 DA - 2026-09-18 PB - Arid Land Ecology and Resources Science Data Center AB - Over the past two decades, the “explosion” of quantitative and mathematical research in slope geomorphology has been particularly striking, giving rise to intense debate and discussion. All of these debates revolved around a single question: What can mathematics contribute to geomorphology? Numerous arguments were advanced both in support of and against its application, yet no consensus emerged. Now that the controversy has largely subsided, the time has come to reflect calmly on the advantages and disadvantages of using mathematical methods in geomorphology. There is no need to enumerate all the studies that have employed such methods, as they are both numerous and highly diverse. One major drawback of these approaches is the absence of a common conceptual basis and an overarching framework capable of integrating individual studies into a rigorous scientific theory. The formation of such a theory has been hindered by a particular circumstance. On the one hand, the aforementioned “explosion” attracted the attention of a large number of researchers; on the other hand, it led to such diversity in methods and research results within slope geomorphology that they could not be unified into a single direction, either theoretically or practically. Consequently, the accumulation of facts did not result in the creation of a unified theory. Although this situation is discouraging in itself, its positive aspect is that, within this diversity, one can clearly identify a number of studies whose systematization may contribute to the further development of a unified theory of geomorphology, a theory grounded in the substantive analysis of theoretical propositions, experimental data, and field observations.During the past ten to fifteen years, we have developed and published a large number of mathematical models describing different types of slopes, slope-forming processes, and the development of other landforms. A wide variety of mathematical tools have been employed for this purp DB - EGIDC UR - https://data.dcxjegi.cn/portal/metadata/5bdf647f-dcae-4651-8245-c4f4ecef60bb ER -