title: Measurement of the time required for a termite to pass through tunnels with different curvatures.
abstract: The subterranean termite, Reticulitermes speratus kyushuensis (Isoptera: Rhinotermitidae), excavate complex tunnel networks below the ground for foraging. The tunnels are either curved or meandering. In our previous study, results showed that termites passed smooth-rounded corners faster than they did around sharp corners. Smooth-rounded corners can be mathematically quantified by the curvature, representing the amount by which a geometric object deviates from a straight line. The present study explored how the time spent inside a tunnel changes in accordance with the degree of tunnel curvature. To do so, artificial tunnels with different curvatures were constructed in acryl substrates. Tunnels were 5 cm in length with widths of W - 2, 3, or 4 mm, and the distance between the two ends of the tunnel was D = 2, 3, 4, or 5 cm. A higher value of D signified a lower curvature. The time (τ) taken by a termite to pass through the tunnel was measured. In the case of W = 2 mm, the values of τ were statistically equal for D = 2, 3, or 4 cm, while τ for D = 5 cm was significantly lesser. In the case of W = 3, τ was statistically more for D = 2 and 3 cm than it was for D = 4 and 5 cm. For W = 4, τ was statistically equal for D = 2 and 3 cm, while τ for D = 4 cm was relatively shorter. Interestingly, the value of τ when D = 5 cm was statistically the same as D = 3 or 4 cm. These resulted from two types of termite behavior: biased walking and zigzag walking.
authors.affiliation: Division of Fusion Convergence of Mathematical Sciences, National Institute for Mathematical Sciences, Daejeon, South Korea. swsim@nims.re.kr
authors.forename: Seungwoo
authors.initials: S
authors.lastname: Sim
authors.forename: Sang-Hee
authors.initials: SH
authors.lastname: Lee
mesh_terms: D000818:Animals; D020049:Isoptera; D008124:Locomotion; D013997:Time Factors