Table 3 Results of logistic regression of the probability of high species mingling using tree dbh as the explanatory variable. \(k\) denotes the number of nearest neighbors used to calculate the mingling index. 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. Negative or non-significant slope parameters are bold

0.026**

1.351

0.023**

1.075

0.016**

0.883

0.009

0.735

0.031***

1.334

0.020**

1.140

0.018**

0.916

0.017**

0.728

0.017**

0.542

0.017**

0.335

0.018***

0.173

0.019***

0.026

0.063***

1.009

0.068***

0.636

0.069***

0.410

0.061***

0.271

0.017*

1.825

0.026***

1.365

0.027***

1.072

0.031***

0.815

0.085***

1.386

0.082***

0.896

0.087***

0.539

0.076***

0.284

0.047***

0.653

0.052***

0.350

0.046***

0.195

0.043***

0.057

0.044***

0.175

0.046***

 − 0.065

0.050***

 − 0.231

0.055***

 − 0.409

0.050***

0.937

0.050***

0.632

0.052***

0.390

0.053***

0.201

0.024***

0.859

0.022***

0.586

0.024***

0.351

0.021***

0.185

0.026***

0.810

0.023***

0.512

0.023***

0.318

0.019***

0.179

0.038***

0.485

0.043***

0.201

0.042***

0.004

0.038***

 − 0.145

 − 0.002

0.453

0.002

0.233

0.005

0.054

0.006

 − 0.080

0.010

0.249

0.014*

0.058

0.021**

 − 0.134

0.030***

 − 0.304

0.031***

0.516

0.037***

0.273

0.039***

0.121

0.042***

 − 0.025

0.002

0.701

0.011

0.392

0.016**

0.199

0.019**

0.025

0.129***

0.952

0.153***

0.558

0.172***

0.257

0.170***

0.107

0.053***

0.808

0.064***

0.332

0.069***

0.043

0.070***

 − 0.139

0.023*

1.930

0.041***

1.355

0.049***

1.013

0.052***

0.758

 − 0.018

1.519

 − 0.012

1.061

 − 0.017**

0.810

 − 0.019**

0.598

0.005

1.989

0.009

1.551

0.010

1.277

0.011

1.052

0.161***

1.964

0.155***

1.364

0.147***

0.974

0.139***

0.714