Table 2 Simulated curve parameters for density-relative single plant yield for maize.

From: Density resistance evaluation of maize varieties through new “Density–Yield Model” and quantification of varietal response to gradual planting density pressure

Model

Parameter

SD

R 2

a

b

c

d

y = ab(1/x)xc

6.3283

0.1224

−1.0341

 

0.0778

0.9425**

y = e(a+b/x+clnx)

1.8450

−2.1002

−1.0341

 

0.0778

0.9425**

y = (a + bx)/(1 + cx + dx2)

−55.4524

68.1952

13.0568

11.8894

0.0779

0.9426**

\({\rm{y}}={\rm{a}}-{{\rm{be}}}^{(-{{\rm{cx}}}^{{\rm{d}}})}\)

1.0896

0.9565

11.4042

−1.4205

0.0781

0.9422**

y = a + bx + cx2 + dx3

1.3766

−0.1462

0.0063

−0.0001

0.0791

0.9407**

y = a + bx + cx2

1.3349

−0.1275

0.0040

 

0.0792

0.9405**

y = a + bcos(cx + d)

2.8548

2.5391

0.0584

2.2226

0.0794

0.9403**

y = 1/(a + bxc)

0.7559

0.0544

1.3890

 

0.0795

0.9399**

y = 1/(a + bx + cx2)

0.6892

0.0922

0.0046

 

0.0801

0.9390**

y = (a + bx)(−1/c)

0.8241

0.0596

0.4824

 

0.0802

0.9389**

  1. x and y in the model denote density and relative single-plant yields, respectively. **Significant at the 0.01 probability level.
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