Adjustment of water-crop production models for ratoon sugarcane

Souza, Jorge Luiz Moretti de; Gerstemberger, Emerson; Gurski, Bruno César; Oliveira, Ricardo Augusto de

doi:10.1590/1983-40632015v4537687

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Scientific Articles • Pesqui. Agropecu. Trop. 45 (4) • Oct-Dec 2015 • https://doi.org/10.1590/1983-40632015v4537687 copy

Adjustment of water-crop production models for ratoon sugarcane

Ajuste de modelos de produção água-cultura para cana-soca

Authorship SCIMAGO INSTITUTIONS RANKINGS

ABSTRACT

Production models need to be tested at different locations to be used as an agricultural planning tool. Hydric relations and performances of water-crop production models were used to estimate ratoon sugarcane yield along nine production cycles, in Paranavaí, Paraná State, Brazil. The crop reference and real evapotranspiration, soil water storage, water deficit and surplus were evaluated. The "Stewart" and "Jensen" models showed the best performance to estimate ratoon sugarcane yield. Water availability in the first development phase of ratoon sugarcane has the greatest influence on yield.

KEY-WORDS:
Saccharum spp; evapotranspiration; water relations

Depth	Sand	Silt	Clay	ρ	θ_FC	θ_PWP
Depth	^{__________________} %^{___________________}			kg m^-3	^{________________________}m³ m-3^{________________________}
0-20 cm	83.3	1,1	15.5	1.64	0.10	0.06
20-40 cm	82.9	1.0	16.0	1.61	0.22	0.07
40-60 cm	84.1	1.3	14.5	1.62	0.21	0.07
60-80 cm^* * Estimated parameters	84.1	1.3	14.5	1.62	0.21	0.07

Development phase	Start	End	Duration	Z	kc
Development phase	Start	End	days	m	dimensionless
I	July	October	93	0.6	0.40
II	October	March	160	0.8	1.25
III	March	July	112	0.8	0.75

Season	ETo	ETc	ETr	Precipitation	Deficit	Surplus	ETr/ETc	Yield⁽¹⁾ (1) Source: PMGCA/UFPR/RIDESA (2008)
Season	^{_______________________________________} mm season^{-1_____________________________________________________}						ETr/ETc	t ha^-1
1997/1998	1,279,5	1,180,0	1,067,3	1,625,0	112,7	551,6	0,9	130,6
1998/1999	1,235,3	1,174,0	1,020,6	1,492,6	153,5	443.0	0,87	130,16
1999/2000	1,442,5	1,320,0	913,7	1,251,6	406,3	341,1	0,69	98,99
2000/2001	1,268,0	1,198,6	1,068,3	1,659,0	130,4	586,9	0,89	140,83
2001/2002	1,387,6	1,270,6	1,043,2	1,439,0	227,5	464,2	0,82	127,94
2002/2003	1,330,9	1,233,7	1,056,5	1,479,2	177,2	408,6	0,86	115,79
2003/2004	1,327,8	1,250,5	962.0	1,508,8	288,4	500,3	0,77	141,6
2005/2006	1,294,6	1,203,9	951.0	1,373,8	252,9	433,1	0,79	154,19
2007/2008	1,363,4	1,252,6	791,9	1,003,6	460,7	147,6	0,63	67,92
Mean	1,325,5	1,231,5	986,1	1,425,8	245,5	430,7	0,8	123,11
S⁽²⁾ (2) standard deviation	64,74	47,4	91,87	188,49	114,7	121,93	0,09	26,06
CV (%)⁽³⁾ (3) coefficient of variation	4,90	3,80	9,30	13,20	46,70	28,30	10,90	21,20

Development phase	AWC	ETo	ETc	Precipitation	ETr	Deficit	Surplus
Development phase	mm	^{______________________________________________} mm phase^{-1______________________________________________}
I	65,3	318,7	127,5	270,6	112,3	15,2	146,7
II	93,9	697,2	871,2	753,7	627,9	243,3	144,4
III	93,9	325,8	244,4	308,8	203	41,4	103,7

Coefficient or factor	^{____________________} Phases^{____________________}				Source
Coefficient or factor	I	II	III	All cicle	Source
^{___________________________________________________________________}Recommended in literature^{___________________________________________________________________}
λ	0,43	0,39	0,07	-	Jensen (1968)JENSEN, M. E. Water consumption by agricultural plants. In: KOZLOWSKI, T. T. (Ed.). Water deficits and plant growth. New York: Academic Press, 1968. p. 1-22.
ky	0,75	0,5	0,10	-	Doorenbos & Kassam (1979)DOORENBOS, J.; KASSAM, A. H. Yield response to water. Rome: FAO , 1979.
Total ky	-	-	-	1,20	Doorenbos & Kassam (1979)DOORENBOS, J.; KASSAM, A. H. Yield response to water. Rome: FAO , 1979.
^{___________________________________} Statistically adjusted in single or multiple regression with the season data^{___________________________________}
λ	0,95	0,31	0,17	-	Multiple regression - Jensen (1968)JENSEN, M. E. Water consumption by agricultural plants. In: KOZLOWSKI, T. T. (Ed.). Water deficits and plant growth. New York: Academic Press, 1968. p. 1-22.
λ	1,91	1,55	0,90	-	Multiple regression - Minhas et al. (1974)MINHAS, B. S.; PARIKH, K. S.; SRINIVASAN, T. N. Towards the structure of a production function for wheat yields with dated inputs of irrigation water. Water Resource Research, David, v. 10, n. 3, p. 383-393, 1974.
ky	0,82	0,36	0,15	-	Multiple regression
Total ky	-	-	-	0,92	Simple regression

Model	^________R^2________		Index "d"		^{___________________________}Index "c"^{___________________________}
Model	L	A	L	A	L (Classification)	A (Classification)
Howell & Hiller (1975)HOWELL, T. A.; HILER, E. A. Optimization of water use efficiency under high frequency irrigation. Transactions of the ASAE, Denver, v. 18, n. 5, p. 873-878, 1975.	0,49	0,49	0,65	0,76	0,46 ("bad")	0,53 ("tolerable")
Minhas et al. (1974)MINHAS, B. S.; PARIKH, K. S.; SRINIVASAN, T. N. Towards the structure of a production function for wheat yields with dated inputs of irrigation water. Water Resource Research, David, v. 10, n. 3, p. 383-393, 1974.	0,75	0,74	0,52	0,92	0,45 ("bad")	0,79 ("very good")
Stewart et al. (1976)STEWART, J. I.; HAGAN, R. M.; PRUITT, W. O. Production functions and predicted irrigation programs for a principal crop as required for water resources planning and increased water efficiency: final report. Washington, DC: Elsevier, 1976.proposed by Doorenbos & Kassam (1979)DOORENBOS, J.; KASSAM, A. H. Yield response to water. Rome: FAO , 1979.	0,78	0,81	0,78	0,95	0,69 ("good")	0,86 ("optimum")
Doorenbos & Kassam (1979)DOORENBOS, J.; KASSAM, A. H. Yield response to water. Rome: FAO , 1979.	0,49	0,49	0,68	0,73	0,48 ("bad")	0,51 ("tolerable")
Rao et al. (1988)RAO, N. H.; SARMA, P. B. S.; CHANDER, S. A simple dated water-production function for use in irrigated agriculture. Agricultural Water Management, Austin, v. 13, n. 1, p. 25-32, 1988.	0,77	0,80	0,77	0,93	0,68 ("good")	0,83 ("very good")
Jensen (1968)JENSEN, M. E. Water consumption by agricultural plants. In: KOZLOWSKI, T. T. (Ed.). Water deficits and plant growth. New York: Academic Press, 1968. p. 1-22.	0,75	0,81	0,74	0,95	0,64 ("median")	0,86 ("optimum")

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