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Table 4 Simulation equation and eigenvalue of cotton reproductive organs 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 = 22 511.358 8/(1 + 1 445.296 9e−0.074 1t)

80.5

116.0

35.6

365.4

416.8

98.3

I1MC2

Y = 21 120.509 2/(1 + 1 382.209 2e−0.073 8t)

80.1

115.8

35.7

341.8

389.9

97.9

I1MC3

Y = 20 119.317 6/(1 + 1 250.212 8e−0.072 9t)

79.8

115.9

36.2

321.3

366.5

97.9

I1MT

Y = 22 050.645 7/(1 + 1 534.209 9e−0.074 4t)

80.9

116.3

35.4

359.7

410.3

98.6

I2MC1

Y = 26 395.453 4/(1 + 1 068.453 1e−0.069 8t)

81.0

118.7

37.7

404.1

460.9

99.8

I2MC2

Y = 30 172.298 6/(1 + 1 231.556 7e−0.071 0t)

81.6

118.7

37.1

469.8

535.8

100.2

I2MC3

Y = 25 556.184 8/(1 + 1 175.044 6e−0.071 1t)

80.9

118.0

37.1

398.1

454.1

99.5

I2MT

Y = 28 897.582 1/(1 + 1 148.916 5e−0.070 4t)

81.4

118.8

37.4

445.8

508.5

100.1

I3MC1

Y = 24 018.515 1/(1 + 783.244 8e−0.066 6t)

80.3

119.9

39.6

350.4

399.6

100.1

I3MC2

Y = 24 950.285 5/(1 + 740.774 1e−0.065 7t)

80.5

120.6

40.1

359.5

410.0

100.5

I3MC3

Y = 29 424.402 3/(1 + 1 061.732 0e−0.069 3t)

81.5

119.6

38.0

447.0

509.8

100.5

I3MT

Y = 26 181.298 3/(1 + 1 081.177 4e−0.070 3t)

80.6

118.1

37.5

403.5

460.2

99.3

2014

I1MC1

Y = 21 580.530 0/(1 + 1 328.056 0e−0.074 6t)

78.8

114.1

35.3

352.7

402.3

96.4

I1MC2

Y = 20 875.538 5/(1 + 1 290.362 1e−0.073 9t)

79.1

114.7

35.6

338.1

385.7

96.9

I1MC3

Y = 19 922.948 9/(1 + 1 295.216 3e−0.074 5t)

78.5

113.8

35.3

325.5

371.2

96.2

I1MT

Y = 21 268.013 3/(1 + 1 540.686 6e−0.076 3t)

78.9

113.4

34.5

355.8

405.8

96.2

I2MC1

Y = 27 738.252 6/(1 + 739.984 8e−0.064 2t)

82.3

123.3

41.0

390.6

445.5

102.8

I2MC2

Y = 33 415.680 6/(1 + 920.665 9e−0.064 7t)

85.2

125.9

40.7

473.8

540.3

105.5

I2MC3

Y = 30 662.918 8/(1 + 662.765 5e−0.061 0t)

85.0

128.2

43.2

409.7

467.3

106.6

I2MT

Y = 32 431.538 0/(1 + 736.777 2e−0.063 1t)

83.8

125.5

41.7

448.6

511.7

104.6

I3MC1

Y = 23 028.804 6/(1 + 483.036 2e−0.061 3t)

79.3

122.3

43.0

309.5

353.0

100.8

I3MC2

Y = 25 551.585 3/(1 + 633.041 6e−0.063 0t)

81.4

123.2

41.8

353.0

402.6

102.3

I3MC3

Y = 31 055.285 1/(1 + 666.848 2e−0.062 6t)

82.9

125.0

42.1

425.8

485.7

103.9

I3MT

Y = 26 422.088 0/(1 + 652.396 0e−0.064 0t)

80.7

121.9

41.2

370.6

422.7

101.3

  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