Table 4 Model comparison and fitness parameter outputs

Community level variance

1.62 [95% CI: 1.27, 2.08]

1.2 [95% CI: 0.90, 1.60]

0.83 [95% CI:

0.61,1.12]

0.76 [95% CI:

0.55,1.07]

Community level variance(se)

0.2043788

0.1738411

0.1282981

0.1310076

ICC

33%

26.8%

20%

18.8%

MOR

3.35 [95% CI: 2.92, 3.94]

2.83 [95% CI: 2.46, 3.32]

2.38 [95% CI: 2.10, 2.73]

2.3 [95% CI: 2.0, 2.7]

PCV (%)

baseline

25.9%

48.8%

53%

 Log- likelihood ratio(LLR)

− 2332

− 2069.6

2236.5

−2006.5

  DIC(−2LLR)

4664

4139.2

4473

4013

  AIC

4668

4183

4503

4082.9

  BIC

4681

4327

4603

4312.8