Salinity tolerance threshold in greenhouse cucumber cultivation: a comparative analysis of mathematical models
摘要
Water scarcity and salinity are major challenges for sustainable irrigation in arid regions, particularly in greenhouse production. This study ascertained the salinity tolerance of cucumber (Cucumis sativus L., c.v. ‘Talisya F1’) during two growth periods, autumn-winter 2022–2023 and spring-summer 2023. Plants were exposed to four irrigation water salinity levels, including S1: <3, S2: 3, S3: 6, and S4: 9 dS m− 1 in a randomized complete block design. Key traits assessed included fruit weight (WoF), total fresh biomass (TFB), and total dry biomass (TDB). Results revealed that salinity up to 3 dS m− 1 had minimal effects, but higher salinity significantly lowered yield and growth, up to 62.8% in TFB and 49.5% in WoF. Salinity thresholds were estimated using linear and nonlinear models. The Maas and Hoffman model identified a threshold of around 1.5 dS m− 1, with steep yield reductions beyond it. The Van Genuchten model indicated EC50 values of 6.43 dS m− 1 for WoF and 6.02 dS m− 1 for TDB, with strong fits (R2 > 0.90). A modified Van Genuchten model further improved the fit (R2 > 0.97) by using dual shape parameters. Further, a piecewise regression model segmented the yield response into three threshold-based phases, reflecting osmotic stress onset (T1), physiological adaptation (T2), and severe stress effects (T3). For TDB, thresholds were T1 = 1.57, T2 = 1.71, T3 = 6.85 dS m− 1; for WoF, T1 = 1.51, T2 = 1.82, T3 = 5.86 dS m− 1. This model best captured the plant’s dynamic response to salinity and provides a useful framework for managing irrigation under saline conditions. These results identify clear salinity thresholds for greenhouse cucumber production and demonstrate that multi-phase modeling approaches better capture plant responses than traditional models. The findings provide a practical basis for developing adaptive irrigation strategies that account for water-quality constraints while maintaining productivity in greenhouse systems.