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Table 3 Simulation equations and eigenvalues of cotton aboveground biomass accumulation

From: The efficacy of chemical topping in field-grown cotton is mediated by drip irrigation amount in irrigated agricultural area

Year

Treatment

Regression equation

t1/d

t2/d

T/d

Vt/(kg·hm−2·d−1)

Vm/(kg·hm−2·d−1)

Tm/d

2013

I1MC1

Y = 39 189.187 6/(1 + 465.723 9e−0.071 1t)

67.8

104.9

37.0

611.1

697.0

86.4

I1MC2

Y = 37 721.907 3/(1 + 396.890 0e−0.069 0t)

67.6

105.8

38.2

570.8

651.0

86.7

I1MC3

Y = 36 661.550 0/(1 + 331.029 7e−0.066 8t)

67.2

106.6

39.4

536.6

612.0

86.9

I1MT

Y = 38 922.490 8/(1 + 374.496 2e−0.067 2t)

68.6

107.8

39.2

573.4

654.0

88.2

I2MC1

Y = 45 184.819 9/(1 + 298.497 0e−0.065 9t)

66.5

106.5

40.0

652.5

744.2

86.5

I2MC2

Y = 47 738.069 4/(1 + 422.657 8e−0.069 1t)

68.5

106.6

38.1

722.7

824.3

87.5

I2MC3

Y = 43 412.265 5/(1 + 324.714 3e−0.066 1t)

67.5

107.4

39.8

629.1

717.6

87.5

I2MT

Y = 46 227.585 2/(1 + 412.900 5e−0.068 6t)

68.6

107.1

38.4

694.7

792.3

87.9

I3MC1

Y = 44 426.721 0/(1 + 515.977 7e−0.075 0t)

65.8

100.9

35.1

730.0

832.6

83.3

I3MC2

Y = 44 931.277 7/(1 + 494.906 2e−0.073 5t)

66.5

102.3

35.8

724.2

826.0

84.4

I3MC3

Y = 49 579.434 5/(1 + 401.142 2e−0.069 0t)

67.8

106.0

38.2

749.9

855.3

86.9

I3MT

Y = 47 421.597 2/(1 + 534.220 3e−0.073 6t)

67.5

103.3

35.8

764.6

872.0

85.4

2014

I1MC1

Y = 45 098.242 0/(1 + 205.223 2e−0.056 6t)

70.8

117.3

46.5

559.7

638.4

94.0

I1MC2

Y = 43 945.917 3/(1 + 184.797 6e−0.054 8t)

71.2

119.2

48.0

528.2

602.4

95.2

I1MC3

Y = 40 262.221 0/(1 + 181.066 8e−0.055 9t)

69.4

116.6

47.1

493.3

562.7

93.0

I1MT

Y = 40 601.721 4/(1 + 319.224 1e−0.063 9t)

69.6

110.8

41.2

568.7

648.6

90.2

I2MC1

Y = 45 367.516 2/(1 + 252.860 6e−0.063 0t)

67.0

108.8

41.8

626.1

714.1

87.9

I2MC2

Y = 52 455.878 5/(1 + 208.022 6e−0.057 3t)

70.1

116.1

45.9

659.3

752.0

93.1

I2MC3

Y = 46 278.329 3/(1 + 193.341 1e−0.058 2t)

67.8

113.1

45.2

590.5

673.5

90.4

I2MT

Y = 47 501.021 6/(1 + 240.842 6e−0.060 9t)

68.5

111.8

43.3

633.6

722.6

90.1

I3MC1

Y = 42 584.477 7/(1 + 327.189 9e−0.070 0t)

63.9

101.5

37.6

653.5

745.3

82.7

I3MC2

Y = 43 548.103 7/(1 + 333.394 7e−0.069 6t)

64.5

102.3

37.8

664.7

758.1

83.4

I3MC3

Y = 47 725.614 0/(1 + 371.678 4e−0.069 4t)

66.3

104.2

37.9

726.4

828.5

85.2

I3MT

Y = 45 494.754 2/(1 + 361.552 5e−0.069 4t)

65.9

103.9

38.0

692.0

789.2

84.9

  1. I1, I2, and I3 represent 300, 480 and 660, mm drip irrigation amounts, respectively; MT, MC1, MC2, and MC3 represent manual topping as control, 450, 750, and 1 050 mL·hm−2 25% mepiquat chloride emulsion in water, respectively; t1, fast growth start time; t2, fast growth end time; T, duration of fast growth period; Vt, average speed of fast growth period; Vm, maximum speed of fast growth period; Tm, occurrence time of maximum speed in fast growth period