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Table 1 Influence of the four input parameters on geometric kinematic parameters.

From: Walking on inclines: how do desert ants monitor slope and step length

Parameter

Leg

α Speed [m/s] mean ± s.d.

β Species [Cf, Fp] mean ± s.d.

γ Head width [mm] mean ± s.d.

δ Inclination [°]mean ± s.d.

ε Intercept mean ± s.d.

log-likelihood

Step length (2) [mm]

f(3)

29.8 ± 1.4****(1)

-0.51 ± 0.22*

0.55 ± 0.34n.s.

-0.005 ± 0.003n.s.(2)

3.96 ± 0.77****

-1322

 

m(3)

28.7 ± 1.2****

-0.50 ± 0.20*

0.85 ± 0.30**

-0.004 ± 0.003n.s.(2)

3.53 ± 0.68****

-1467

 

h(3)

29.7 ± 1.2****

-0.33 ± 0.20t.

0.72 ± 0.30*

-0.006 ± 0.003*(2)

3.55 ± 0.69****

-1424

Step length [mm]

f

30.1 ± 1.4****

-0.46 ± 0.22*

0.57 ± 0.34t.

-0.0005 ± 0.0019n.s.

3.67 ± 0.76****

-1324

 

m

29 ± 1.3****

-0.45 ± 0.2*

0.87 ± 0.3**

-0.0002 ± 0.0017n.s.

3.29 ± 0.68****

-1469

 

h

30.1 ± 1.3****

-0.27 ± 0.2n.s.

0.74 ± 0.31*

-0.0007 ± 0.0017n.s.

3.21 ± 0.69****

-1427

AEP [mm] (cranial)

f

3.99 ± 1.07***

-0.74 ± 0.16****

0.58 ± 0.25*

0 ± 0.0014n.s.

4.23 ± 0.56****

-1459

 

m

3.13 ± 1.2**

0.38 ± 0.18*

0.47 ± 0.27t.

-0.0002 ± 0.0015n.s.

0.65 ± 0.61n.s.

-1653

 

h

0.1 ± 1.09n.s.

1.78 ± 0.17****

-0.33 ± 0.25n.s.

-0.0019 ± 0.0014n.s.

-4.05 ± 0.57****

-1446

AEP [mm] (distal)

f

-0.6 ± 0.81n.s.

-1.18 ± 0.12****

-0.07 ± 0.18n.s.

-0.0022 ± 0.001*

2.9 ± 0.41****

-1309

 

m

3.02 ± 0.83***

-2.02 ± 0.13****

0.16 ± 0.2n.s.

0.0001 ± 0.0011n.s.

5.39 ± 0.45****

-902

 

h

0.86 ± 0.8n.s.

-1.19 ± 0.12****

0.3 ± 0.19n.s.

0.0011 ± 0.0011n.s.

3.39 ± 0.42****

-1115

PEP [mm] (cranial)

f

0.68 ± 0.71n.s.

-0.81 ± 0.11****

0.46 ± 0.17**

0.0014 ± 0.0009n.s.

1.42 ± 0.37****

-950

 

m

-1.83 ± 0.84*

0.63 ± 0.13****

0.2 ± 0.19n.s.

0.0001 ± 0.0011n.s.

-2.47 ± 0.43****

-1311

 

h

-0.4 ± 1.03n.s.

2.01 ± 0.16****

-0.59 ± 0.25*

-0.0008 ± 0.0014n.s.

-7.24 ± 0.56****

-1104

PEP [mm] (distal)

f

-1.44 ± 0.74t.

-1.4 ± 0.11****

-0.06 ± 0.17n.s.

-0.0031 ± 0.001**

3.1 ± 0.38****

-1182

 

m

4.09 ± 0.82****

-1.68 ± 0.13****

0.23 ± 0.2n.s.

0.0009 ± 0.0011n.s.

4.86 ± 0.44****

-961

 

h

-0.29 ± 0.86n.s.

-1.45 ± 0.13****

0.28 ± 0.2n.s.

0.0005 ± 0.0011n.s.

3.71 ± 0.45****

-1289

  1. (1)) Levels of significance: **** p < 0.0001; *** p < 0.001; ** p < 0.01; * p < 0.05; t. p < 0.1; n.s. p ≥ 0.1.
  2. (2)) absolute values.
  3. (3)) f: front, m: middle, h: hind.
  4. Each line represents one statistic model. The output parameter is given in via the two left columns – e.g. step length of the front leg. The values given in the columns of the four input parameters speed, species, head width, and inclination represent the strength of their influence on the variation of the output parameter. The statistic significance reflects upon the validity of the fit. (Input parameters: 258 degrees of freedom, intercept: 613 degrees of freedom)
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Frontiers in Zoology

ISSN: 1742-9994