Table 2 Significance tests

From: Discerning the thermodynamic feasibility of the spontaneous coexistence of multiple functional vegetation groups

Site

Funct. group

\(H_{A1}\)

\(H_{A2}\)

\(H_{A3}\)

\(H_{A4}\)

p value

Reject \(H_0\)?

p value

Reject \(H_0\)?

p value

Reject \(H_0\)?

p value

Reject \(H_0\)?

SRM

UN

0.004

Yes

  

\(\sim\) 0

Yes

  

OT

0.017

Yes

0.002

Yes

WCR

UN

\(\sim\) 0

Yes

  

\(\sim\) 0

Yes

  

OT

0.606

No

0.394

No

0.934

No

0.915

No

TAP

UN

\(\sim\) 0

Yes

  

\(\sim\) 0

Yes

  

MT

\(\sim\) 0

Yes

\(\sim\) 0

Yes

OT

\(\sim\) 0

Yes

\(\sim\) 0

Yes

L

\(\sim\) 0

Yes

\(\sim\) 0

Yes

  1. \(H_0\) is rejected if \(p<0.05\) at the 5% significance level.
  2. Entropy—Miller Jackknife test of variance
  3. \(H_{A1}\): The entropy flux results from multiple functional groups have a variance larger than the single-functional-group.
  4. \(H_{A2}\): The entropy flux results from multiple functional groups have a variance smaller than the single-functional-group.
  5. Work efficiency—two-sample Kolmogorov–Smirnov test
  6. \(H_{A3}\): The work efficiency results from multiple functional groups have a CDF smaller than the single-functional-group (i.e. values are generally larger).
  7. \(H_{A4}\): The work efficiency results from multiple functional groups have a CDF larger than the single-functional-group (i.e. values are generally smaller).