# A new experimental design to uncorrelate visual cues in honeybees' altitude control

Aimie Berger Dauxère, Gilles Montagne, Julien Serres

► To cite this version:

Aimie Berger Dauxère, Gilles Montagne, Julien Serres. A new experimental design to uncorrelate visual cues in honeybees' altitude control. 19ème Colloque de Biologie de l'Insecte (CBI 2019), Jun 2019, Albi, France., 2019. [hal-03793033](https://hal.science/hal-03793033)

HAL Id: hal-03793033

https://hal.science/hal-03793033

Submitted on 30 Sep 2022

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<figure><img src="image_1.png" /></figure>

Distributed under a Creative Commons Attribution 4.0 International License
Experimental set up's aim: is baseline's splay angle rate of change involved in altitude control in *Apis mellifera* ?

two optical invariants:

- optical scrolling speed $\dot{S} = 0$

- base lines' splay angle rate of change $\dot{\omega} = 0$

--> optical invariants can be uncorrelated

--> optical invariants can be individually suppressed

--> optical invariants can be distorted

## Optical scolling speed (OSS) experienced by a flying agent

altitude (z)

<figure><img src="image_2.png" /></figure>

$$\omega = \frac{V_x}{z}$$

$$\dot{\omega} = 0$$

[1, 2, 3, 4, 7]

## Splay angle's rate of change experienced by a flying agent

$S = 1/2$ angle formed by base lines

$S_R$ = right splay ; $S_L$ = left splay

$S_R = S_L = S$ for a centered bee

$L$ = path width

$$\begin{aligned} \dot{S} &= \arctan \left( \frac{L/2}{z} \right) \\ \dot{S} &= 0 \end{aligned}$$

<figure><img src="image_3.png" /></figure>

<figure><img src="image_4.png" /></figure>

horizon
base line

agent's forward
direction

flying agent

based on [6] in humans

[5, 6]

## Experimental set up

<figure><img src="image_5.png" /></figure>

OSS available
Narrowed splay angle

OSS available
Real splay angle

<figure><img src="image_6.png" /></figure>

No OSS available
Narrowed splay angle

No OSS available
Real splay angle

## Predictive bee's altitude in response to an apparent splay angle rate of change

<figure><img src="image_7.png" /></figure>

$$\dot{S} = - \frac{L}{z^2 + \left(\frac{L}{2}\right)^2} \dot{z}$$

<figure><img src="image_8.png" /></figure>

Question : ? < S < ? (°. S⁻¹)

<footnote>[1] J. Lecoeur, M. Dacke, D. Floreano and E. Baird (2019), Scientific Reports (9) 7707</footnote>

<footnote>[2] G. Portelli, J.R Serres and F.Ruffier (2017), Scientific Reports (7) 9231</footnote>

<footnote>[3] J.R Serres and F.Ruffier (2017), Arthropod Structure & Development (46) 5, 703-717</footnote>

<footnote>[4] M.V Srinivasan (2011), Current Opinion in Neurobiology (24) 4, 535-543</footnote>

<footnote>[5] A.P Duchon and W.H Warren (2002), Psychological Sciences (13) 3, 272-278</footnote>

<footnote>[6] J.M Flach, R. Warren, S.A Garness, L. Kelly and Terry Stanard (1997)), Journal of Experimental Psychology (23) 6, 1764-1782</footnote>

<footnote>[7] J.R Serres, A.H.P. Morice, C. Blary, G. Montagne and F. Ruffier. Honeybees flying over a mirror crash irremediably. In the 4th International Conference on Invertebrate Vision (ICIV), Bäckaskog Castle, Suède, 2019</footnote>