This investigation considered the problem of determining irrigation conditions under which the impact of water deficit stress on a blueberry plant would be minimal. Specifically, and as a first methodological step, we solved the problem of simulating numerically the soil-water-plant system, assuming a scenario of water stress resulting from drought. The main justification for this investigation is the difficulty of obtaining experimental data, and the almost total absence of applications of this methodology to stress conditions for this crop. The simulations are based on the Richards equation with an explicit term, which models blueberry root water uptake, and were executed with HYDRUS-1D software. This software, the Richards equation, and the numerical values used have been widely validated by agronomists in experimental studies of similar crops. Two soil types were simulated: a clay soil and a sandy loam. It was possible to simulate realistic irrigation conditions for a blueberry crop in a scenario of water stress resulting from drought. The results obtained provided sufficient justification of the methodology for subsequent application in field studies.
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Albasha R, Mailhol JC, Cheviron B (2015) Compensatory uptake functions in empirical macroscopic root water uptake models – experimental and numerical analysis. Agric Water Manag 155:22–39
Bear J (1988) Dynamics of fluids in porous media. Dover Publications Inc., New York
Bryla DR (2011) Crop evapotranspiration and irrigation scheduling in blueberry. In: Gerosa G (ed) Evapotranspiration. From measurements to agricultural and environmental applications. Intech, Rijeka, pp 167–186
Bryla DR, Gartung JL, Strik B (2006) Evaluation of irrigation methods for highbush blueberry. I. Growth and water requirements of young plants. Hortic Sci 46:95–101
Cariaga E, Martínez R, Sepúlveda M (2015) Hydraulic parameter estimation under non-saturated flow conditions in copper heap leaching. Math Comput Simul 109:20–31
Davies FS, Flore JA (1986) Flooding, gas exchange and hydraulic root conductivity of highbush blueberry. Physiol Plant 67:545–551
Egea G, Muñiz J, Diaz-Espejo A (2017) Optimization of an automatic irrigation system for precision irrigation of blueberries grown in sandy soil. Adv Anim Biosci 8(2):551–556
Estrada F, Escobar A, Romero-Bravo S, González-Talice J, Poblete- Echeverría C, Caligari P, Lobos GA (2015) Fluorescence phenotyping in blueberry breeding for genotype selection under drought conditions, with or without heat stress. Sci Hortic 181:147–161
Eusufzai MK, Fujii K (2012) Effect of organic matter amendment on hydraulic and pore characteristics of a clay loam soil. Open J Soil Sci 2:372–381
Feddes RA, Kowalik PJ, Zaradny H (1978) Simulation of field water use and crop yield. Simulation monograph Pudoc, Wageningen
van Genuchten MT (1980) A closed form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44:892–898
Gong D, Kang S, Zhang L, Du T, Yao L (2006) A two-dimensional model of root water uptake for single apple trees and its verification with sap flow and soil water content measurements. Agric Water Manag 83:119–129
González MG, Ramos TB, Carlesso R, Paredes P, Petry MT, Martins JD, Aires NP, Pereira LS (2015) Modelling soil water dynamics of full and deficit drip irrigated maize cultivated under a rain shelter. Biosyst Eng 132:1–18
Gou S, Miller G (2014) A groundwater–soil–plant–atmosphere continuum approach for modelling water stress, uptake, and hydraulic redistribution in phreatophytic vegetation. Ecohydrology 7:1029–1041
Gough RE (1980) Root distribution of ‘Coville’ and ‘Lateblue’ highbush blueberry under sawdust mulch. J Am Soc Hortic Sci 105:576–578
Holzapfel E, Jara J, Coronata AM (2015) Number of drip laterals and irrigation frequency on yield and exportable fruit size of highbush blueberry grown in a sandy soil. Agric Water Manag 148:207–212
Inostroza-Blancheteau C, Reyes-Díaz M, Arellano A, Latsague M, Acevedo P, Loyola R, Arce-Johnson P, Alberdi M (2014) Effects of UV-B radiation on anatomical characteristics, phenolic compounds and gene expression of the phenylpropanoid pathway in highbush blueberry leaves. Plant Physiol Biochem 85:85–95
Jarvis NJ (1989) A simple empirical model of root water uptake. J Hydrol 107:57–72
Keen B, Slavich P (2012) Comparison of irrigation scheduling strategies for achieving water use efficiency in highbush blueberry. N Z J Crop Hortic Sci 40:3–20
Kumar R, Jat MK, Shankar V (2013) Evaluation of modeling of water ecohydrologic dynamics in soil–root system: a review. Ecol Model 269:51–60
Kutílek M, Nielsen DR (1994) Soil hydrology. Catena Verlag, Cremlingen-Destedt
Lobos TE, Retamales JB, Ortega-Farías S, Hanson EJ, López-Olivari R, Mora ML (2016) Pre-harvest regulated deficit irrigation management effects on post-harvest quality and condition of V. corymbosum fruits cv. Brigitta. Sci Hortic 207:152–159
Luna-Flores W, Estrada-Medina H, Morales-Maldonado E, Álvarez-Rivera O (2015) Plant stress by water deficit: a review. Chilean J Agric Anim Sci, ex Agro-Ciencia 30:61–69
Marquez D, Faúndez C, Aballay E, Haberland J, Kremer C (2017) Assessing the vertical movement of a nematicide in a sandy loam soil and its correspondence using a numerical model (HYDRUS 1D). J Soil Sci Plant Nutr 17:167–179
Masseroni D, Facchi A, Gandolfi C (2016) Is soil water potential a reliable variable for irrigation scheduling in the case of peach orchards? Soil Sci 181:232–240
Peters A (2016) Modified conceptual model for compensated root water uptake - a simulation study. J Hydrol 534:1–10
Qin H, Peng Y, Tang Q, Yu S (2016) A HYDRUS model for irrigation management of green roofs with a water storage layer. Ecol Eng 95:399–408
Richards LA (1931) Capillary conduction of fluid through porous médiums. Physics 1:318–333
Salvo S, Muñoz C, Ávila J, Bustos J, Cariaga E, Silva C, Vivallo G (2011) Sensitivity in the estimation of parameters fitted by simple linear regression models in the ratio of blueberry buds to fruits in Chile using percentage counting. Sci Hortic 130(2):404–409
Šimůnek J, Hopmans JW (2009) Modeling compensated root water and nutrient uptake. Ecol Model 220:505–521
Šimůnek J, Šejna M, Saito H, Sakai M, van Genuchten MT (2008) The HYDRUS-1D software package for simulating the movement of water, heat, and multiple solutes in variably saturated media, Version 4.0, HYDRUS Software Series 3. Department of Environmental Sciences, University of California Riverside, Riverside, p 315
Singh P (2008) Modeling crop production systems: principles and application, 1st edn. Routledge Ltd., Abingdon
Sperry JS, Donnelly JR, Tyree MT (1988) A method for measuring hydraulic conductivity and embolism in xylem. Plant Cell Environ 11:35–40
Spiers JM (1983) Irrigation and peatmoss for the establishment of rabbiteye blueberries. Hortscience 18:936–937
Spiers JM (1986) Root distribution of ‘Tifblue’ rabbiteye blueberry as influenced by irrigation, incorporated peatmoss, and mulch. J Am Soc Hortic Sci 111:877–880
Teh C (2006) Introduction to mathematical modeling of crop growth: how the equations are derived and assembled into a computer program. Brown Walker Press, Boca Raton
Valenzuela-Estrada LR, Richards JH, Diaz A, Eissensat DM (2009) Patterns of nocturnal rehydration in root tissues of Vaccinium corymbosum L. under severe drought conditions. J Exp Bot 60:1241–1247
Vargas O, Bryla D, Weiland J, Strik B, Sun L (2015) Irrigation and fertigation with drip and alternative micro irrigation systems in northern highbush blueberry. Hortscience 50:897–903
EC thanks the Department of Mathematical and Physical Sciences of Universidad Católica de Temuco for partial the support for this project.
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Cariaga, E., Vásquez, L., Jerez, J. et al. A Numerical Simulation Model for Highbush Blueberry Under Drought Stress. J Soil Sci Plant Nutr 19, 98–107 (2019). https://doi.org/10.1007/s42729-019-0015-y