Scientia Agricultura Sinica ›› 2026, Vol. 59 ›› Issue (14): 3105-3120.doi: 10.3864/j.issn.0578-1752.2026.14.009

• SOIL & FERTILIZER·WATER-SAVING IRRIGATION·AGROECOLOGY & ENVIRONMENT • Previous Articles     Next Articles

Construction of a Critical Nitrogen Dilution Curve Model and Nitrogen Nutrition Diagnosis for Dryland Foxtail Millet Under Film Mulching with Micro-Drip Irrigation

LIU JiaXuan1(), CAO HongXia1(), REN LiYu2, MA LiNa3, ZHANG Bin2, SHEN JiaQi1, LI ZhiJun1   

  1. 1 Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas of Ministry of Education, Northwest A&F University, Yangling 712100, Shaanxi
    2 Shaanxi Chongren Water Conservancy Engineering Co., Ltd., Xi’an 710000
    3 Yulin Agricultural Technology Service Center, Yulin 719000, Shaanxi
  • Received:2025-09-02 Accepted:2025-10-21 Online:2026-07-16 Published:2026-07-21
  • Contact: CAO HongXia

Abstract:

【Objective】To quantify the effects of different fertilization rates and basal-to-topdressing ratios on nitrogen uptake and aboveground biomass accumulation of foxtail millet under film-mulched micro-drip irrigation within the “four-in-one” system in northern Shaanxi; to establish critical nitrogen dilution curves under different basal-to-topdressing ratios; to evaluate the applicability of a Bayesian hierarchical model for parameter estimation of the curves; and to determine the optimal fertilization rate and basal-to-topdressing ratio based on the nitrogen nutrition index and yield response, thereby providing a theoretical basis for precise nitrogen management under integrated water-fertilizer conditions in dryland regions of northern Shaanxi.【Method】A two-year field experiment (2023-2024) was conducted in Yulin, Shaanxi Province, using drip irrigation and fertigation treatments. Three basal-to-topdressing fertilizer ratios were set: B82 (8:2), B64 (6:4), and B46 (4:6), along with four fertilizer application levels of N-P2O5-K2O (0-0-0, 90-45-45, 120-60-60, and 150-75-75 kg·hm-2). The effects of NPK rates and basal-to-topdressing ratios on the aboveground dry matter and nitrogen concentration of millet under supplemental irrigation were investigated. Classical statistical analysis and Bayesian hierarchical modeling were employed to establish critical nitrogen dilution curves and to determine optimal fertilization strategies.【Result】The B64 treatment effectively promoted nitrogen uptake and aboveground biomass accumulation, with overall trends of B64>B82>B46 treatment for both dry matter and nitrogen concentration. Although the basal-to-topdressing ratio had no statistically significant effect on the parameters of the critical nitrogen dilution curve, years with lower precipitation resulted in higher dilution coefficient (A2) values and increased parameter uncertainty in the B46 treatment. On this basis, the critical nitrogen dilution curves under different basis tracking treatments in 2023, 2024 were proposed: B82: Nc=3.58W-0.48, Nc=3.14W-0.36; B64: Nc=3.51W-0.40, Nc=3.65W-0.37; and B46: Nc=3.79W-0.62, Nc=2.71W-0.36 under different basis tracking treatments. The nitrogen nutrition index (NNI) calculated from these curves increased with fertilization rate, approaching 1.0 at 120-60-60 kg·hm-2, where relative yield (RY) also reached its maximum. Considering both biomass and yield performance, the optimal fertilizer application rate for millet under these conditions was 120-60-60 kg·hm-2, with the best basal-to-topdressing ratio of 6:4.【Conclusion】Critical nitrogen dilution curves for foxtail millet under different basal-to-topdressing ratios in northern Shaanxi were developed using both Bayesian and classical statistical methods. The Bayesian approach yielded lower uncertainty and higher precision. By integrating multiple indicators, the optimal basal-to-topdressing ratio was determined to be 6:4, with an N-P2O5-K2O rate of 120-60-60 kg·hm-2 recommended as the suitable fertilization regime for local foxtail millet production.

Key words: foxtail millet, critical nitrogen concentration, basal-to-topdressing ratio, nitrogen nutrition index (NNI), aboveground biomass, critical nitrogen dilution curve (CNDC), Bayesian statistical model

Fig. 1

Average daily temperature and daily precipitation during the growth period of millet in the experimental plots in 2023, 2024"

Fig. 2

Effects of NPK fertilization on the biomass of aboveground part of foxtail millet under different base-fertilizer application ratios in 2023, 2024 Different lowercase letters above the bars indicate significant differences among fertilizer application rates under the same base-fertilizer application ratio within a year (P<0.05), while uppercase letters denote significant differences among base-fertilizer application ratios within a year (P<0.05). Y: Year; B: Base-fertilizer application ratio; F: Fertilizer application rate. *, **, and *** indicate significance at P<0.05, P<0.01, and P<0.001 levels respectively; ns denotes non-significance. The same as below"

Fig. 3

Effects of different NPK fertilization rates on the nitrogen concentration in the aboveground part of foxtail millet under base-fertilizer application ratios in 2023, 2024"

Fig. 4

Critical nitrogen dilution curves for foxtail millet under different base-fertilizer application ratios in 2023, 2024, constructed using classical statistical methods and Bayesian statistical methods, along with their 95% confidence intervals"

Fig. 5

Parameters A1 and A2 and their 95% confidence intervals were estimated under different treatments based on Bayesian method in 2023, 2024"

Fig. 6

NNI of foxtail millet at different growth stages under different base-fertilizer application ratios in 2023, 2024"

Fig. 7

Relationship between relative yield (RY) and average nitrogen nutrient index (NNI) of millet under different base-fertilizer application ratios and all bases in each year in 2023, 2024"

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