Mathematical Evaluation of Carrot Yield under Sprinkler Irrigation Using the B.A. Dospekhov Method

This study provides a comprehensive mathematical evaluation of carrot yield under various sprinkler irrigation regimes, utilizing the B.A. Dospekhov methodology to ensure the statistical reliability of the research findings. Conducted between 2023 and 2025 on the "Mirzoyi Kizil" carrot variety, the research employed Analysis of Variance (ANOVA) to assess the impact of varying pre-irrigation soil moisture thresholds (80-75-60% of Field Capacity) and rainfall intensities (0.3, 0.4, and 0.5 mm/min). Statistical analysis showed high experimental precision, with a Least Significant Difference (LSD0.05) of 0.68 t/ha for the multi-year mean data. Results demonstrate that sprinkler irrigation significantly outperforms traditional furrow irrigation, with the highest mean yield of 29.2 t/ha achieved at a rainfall intensity of 0.4 mm/min (Variant 3). This represents a statistically significant increase of 6.5 t/ha over the control variant, confirming that optimized technical parameters reduce soil compaction and enhance root system development. Ultimately, the mathematical validation underscores that an intensity of 0.4 mm/min is the most effective and reliable parameter for maximizing carrot productivity and water-use efficiency in the Tashkent region.

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