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Table 5 Results of logistic regression of the probability of high species mingling using tree size differentiation as the explanatory variable. \(k\) denotes the number of nearest neighbors used to calculate the mingling and size differentiation indices. High mingling was defined as \({M}_{i}^{(k)}\ge \frac{k-1}{k}\). \({\beta }_{1}\) and \({\beta }_{0}\) represent the slope and intercept parameters in the regressions. ***/**/* indicate \(p\) values < 0.001/ < 0.01/ < 0.05, respectively

From: Localized neighborhood species mingling is correlated with individual tree size inequality in natural forests in South China

Forest region

Plot

k = 4

k = 6

k = 8

k = 10

\({\beta }_{1}\)

\({\beta }_{0}\)

\({\beta }_{1}\)

\({\beta }_{0}\)

\({\beta }_{1}\)

\({\beta }_{0}\)

\({\beta }_{1}\)

\({\beta }_{0}\)

Dms

a

4.084***

 − 0.069

3.393***

 − 0.158

2.878***

 − 0.215

2.179***

 − 0.130

b

5.482***

 − 0.599

4.212***

 − 0.466

3.781***

 − 0.560

3.020***

 − 0.454

Dys

a

3.766***

 − 1.075

3.512***

 − 1.226

3.194***

 − 1.259

3.004***

 − 1.328

b

3.419***

 − 0.271

3.549***

 − 0.730

3.891***

 − 1.133

4.051***

 − 1.404

c

3.377***

0.321

3.207***

 − 0.046

2.727***

 − 0.115

2.856***

 − 0.427

d

3.200***

0.283

3.284***

 − 0.281

3.388***

 − 0.673

3.121***

 − 0.854

Hp

a

4.005***

 − 0.774

4.100***

 − 1.154

3.903***

 − 1.283

3.697***

 − 1.364

b

3.523***

 − 1.051

3.465***

 − 1.306

3.260***

 − 1.388

3.299***

 − 1.579

c

2.460***

0.107

2.343***

 − 0.170

2.224***

 − 0.362

2.238***

 − 0.561

d

2.351***

 − 0.010

1.992***

 − 0.169

2.120***

 − 0.460

2.083***

 − 0.634

Jws

a

2.825***

 − 0.361

3.161***

 − 0.863

2.997***

 − 1.005

2.827***

 − 1.097

b

3.549***

 − 0.653

3.090***

 − 0.778

2.756***

 − 0.866

2.509***

 − 0.950

c

3.577***

 − 0.844

3.187***

 − 0.948

2.666***

 − 0.935

2.336***

 − 0.951

Ml

a

4.029***

 − 1.468

3.685***

 − 1.564

3.474***

 − 1.642

3.294***

 − 1.692

b

3.971***

 − 1.149

3.650***

 − 1.291

3.710***

 − 1.493

3.695***

 − 1.636

c

2.693***

 − 0.530

2.587***

 − 0.772

2.556***

 − 0.942

2.446***

 − 1.058

Sws

a

3.796***

 − 0.140

3.983***

 − 0.561

4.148***

 − 0.884

4.501***

 − 1.208

b

4.179***

 − 0.802

3.952***

 − 1.173

3.901***

 − 1.434

4.079***

 − 1.703

c

2.181***

1.051

2.363***

0.458

2.735***

 − 0.027

2.724***

 − 0.273

d

3.182***

0.170

2.741***

 − 0.115

2.618***

 − 0.352

2.546***

 − 0.557

e

2.466***

0.903

2.519***

0.443

2.519***

0.160

2.604***

 − 0.107

Wyl

a

4.942***

0.279

5.157***

 − 0.508

5.211***

 − 0.983

5.272***

 − 1.319