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Table 5 Quantitative relationship between trilateral parameters and NO3−–N content in petioles

From: Estimation of nitrate nitrogen content in cotton petioles under drip irrigation based on wavelet neural network approach using spectral indices

Trilateral parameters

Functional model

Regression equation

R2

RMSE (g/L)

Dr

Linear

y = − 1E + 06x + 21,084

0.64

1.40

Exponential

y = 59,355e−160.9x

0.61

1.45

Quadratic

y = − 2E + 08x2 + 6E + 06x − 23990

0.67

2.93

SDr

Linear

y = − 12,321x + 13,673

0.52

2.28

Exponential

y = 18,355e−1.876x

0.47

2.59

Quadratic

y = − 58,926x2 + 48,072x − 895.38

0.60

2.53

Dy

Linear

y = − 1E + 08x + 1114.1

0.72

1.08

Exponential

y = 2691.4e−17931x

0.67

1.82

Quadratic

y = − 4E + 12x2 − 5E + 08x − 9212.4

0.84

2.73

SDy

Linear

y = − 193,244x − 1139.4

0.73

2.91

Exponential

y = 1924.3e−29.42x

0.67

2.54

Quadratic

y = − 8E + 06x2 − 905,730x − 16273

0.79

2.51

Db

Linear

y = 4E + 06x − 836.47

0.80

1.04

Exponential

y = 2036.5e619.48x

0.72

1.50

Quadratic

y = − 3E + 09x2 + 2E + 07x − 14359

0.89

1.64

SDb

Linear

y = 498,071x − 9405.9

0.81

1.45

Exponential

y = 492.37e78.986x

0.80

1.53

Quadratic

y = 9E + 06x2 − 84,605x − 199.84

0.82

1.98

  1. E stands for scientific counting; e is the base of natural logarithm