In arid regions, mountain catchments are the major contributor to the total natural water yield. Due to generally low groundwater tables, subsurface underflow - referred to as mountain-front recharge - is important in distinction to the surface runoff at the mountain front. The extent of the groundwater basin is hereby often vague. Approaches to assess mountain-front recharge are mostly based on groundwater data and integrate over time and space. This, however, cannot provide prognostic and time-dependent estimates of subsur- face inflow to the adjacent alluvial basin aquifer. Consequently, the proposed strategy builds on rainfall based approaches. Temporal and spatial resolution is in this case mostly limited by data scarcity regarding hydrological characteristics of the catchment area and high-resolution rainfall data. The proposed novel strategy combines three approaches to tackle these challenges. A newly developed conceptual hydrologic model provides time-dependent estimates based on fully distributed monthly rainfall. For distinct response units and seasons, non-linear relationships between rainfall and recharge describe the hydrogeologic response. The deri- vation of the response functions is based on a mass balance and considers the principal recharge mechanisms. Parameterisation makes use of available expert knowledge on geo- morphology and seasonal rainfall characteristics. As an efficient tool to assess uncertain- ties, fuzzy arithmetic is used for complementary long-term average water balance esti- mates. This technique allows considering fuzziness in rainfall input, crop water use in mountain oases, and best available assumptions on recharge as portion of rainfall. Uncer- tainty regarding the potential, albeit unknown extent of groundwater basins is portrayed based on continuous surfaces which represent the degree of membership to a distinct geo- graphical entity (termed as fuzzy regions). Distinct subsets of these fuzzy regions represent potential groundwater basins for water balance assessment. The proposed strategy was applied on the large scale in an arid karst mountain range in northern Oman. The two complementary assessment approaches result in similar ranges of values. They are in good agreement with inversely computed inflow to a steady state groundwater model for the adjacent basin aquifer. The results of the conceptual hydrologic model are confirmed by the plausibility of average recharge rates for distinct response units and seasons. This shows that less intense winter rainfall contributes mainly to groundwater recharge. Uncertainties due to the vague extent of the groundwater basin are about 30 % of the total mean annual value. An option to mitigate this uncertainty is the complementary consideration of adjacent aquifer systems in future studies. Hydrogeologic survey and observation of groundwater levels in the alluvial basin aquifer in near distance to the mountains is a way to underpin these findings in future studies. This recommend- dation applies not only to the discussed study area, but also to mountain block systems in general.

In arid regions, mountain catchments are the major contributor to the total natural water yield. Due to generally low groundwater tables, subsurface underflow - referred to as mountain-front recharge - is important in distinction to the surface runoff at the mountain front. The extent of the groundw...