From cockroaches to tanks: The same power-mass-speed relation describes both biological and artificial ground-mobile systems

This paper explores whether artificial ground-mobile systems exhibit a consistent regularity of relation among mass, power, and speed, similar to that which exists for biological organisms. To this end, we investigate an empirical allometric formula proposed in the 1980s for estimating the mechanical power expended by an organism of a given mass to move at a given speed, applicable over several orders of magnitude of mass, for a broad range of species, to determine if a comparable regularity applies to a range of vehicles. We show empirically that not only does a similar regularity apply to a wide variety of mobile systems; moreover, the formula is essentially the same, describing organisms and systems ranging from a roach (1 g) to a battle tank (35,000 kg). We also show that for very heavy vehicles (35,000–100,000,000 kg), the formula takes a qualitatively different form. These findings point to a fundamental similarity between biological and artificial locomotion that transcends great differences in morphology, mechanisms, materials, and behaviors. To illustrate the utility of this allometric relation, we investigate the significant extent to which ground robotic systems exhibit a higher cost of transport than either organisms or conventional vehicles, and discuss ways to overcome inefficiencies.

Allometric Optimization of Enrofloxacin Dosage in Growing Male Turkeys: Empirical Evidence for Improved Internal Exposure

Rapid weight gain in turkeys causes a major change in the pharmacokinetics of drugs, leading to age-dependent variability in the internal exposure and, possibly, treatment failure and/or selection for antimicrobial resistance in young individuals. The aim of the study was to investigate whether a non-linear dosing protocol that accounts for the previously established allometric relation between enrofloxacin clearance and body weight (BW) may optimize the internal exposure to enrofloxacin in growing male turkeys. Enrofloxacin was administered four times, between the age of 5 and 16.5 weeks, when the turkeys’ BW increased from 1.47 to 14.92 kg. Enrofloxacin was given intravenously (i.v.) or orally at the dose calculated as follows: Dose = 30 × BW0.59. After i.v. administration, the internal exposure to the drug—quantified as the area under the concentration–time curve (AUC)—was showing little age-related variation. The coefficient of variation (CV) for AUC in all individuals (15.7%) was only slightly higher than within the age groups (5.4–13.7%). After oral drug administration, CV for AUC in all individuals (22.1%) was similar as within the age groups (8.7–32.2%). These results show that intra-species allometric scaling may be efficiently implemented in the non-linear approach to enrofloxacin dosage in turkeys in order to obtain a precise internal exposure for the optimal antimicrobial effect.

Using photography to estimate above-ground biomass of small trees

Quantifying tree biomass is an important research and management goal across many disciplines. For species that exhibit predictable relationships between structural metrics (e.g. diameter, height, crown breadth) and total weight, allometric calculations produce accurate estimates of above-ground biomass. However, such methods may be insufficient where inter-individual variation is large relative to individual biomass and is itself of interest (for example, variation due to herbivory). In an East African savanna bushland, we analysed photographs of small (<5 m) trees from perpendicular angles and fixed distances to estimate above-ground biomass. Pixel area of trees in photos and diameter were more strongly related to measured, above-ground biomass of destructively sampled trees than biomass estimated using a published allometric relation based on diameter alone (R2 = 0.86 versus R2 = 0.68). When tested on trees in herbivore-exclusion plots versus unfenced (open) plots, our predictive equation based on photos confirmed higher above-ground biomass in the exclusion plots than in unfenced (open) plots (P < 0.001), in contrast to no significant difference based on the allometric equation (P = 0.43). As such, our new technique based on photographs offers an accurate and cost-effective complement to existing methods for tree biomass estimation at small scales with potential application across a wide variety of settings.

Fuzzy Modeling of the Weight - Length Allometric Relationship of the Fish Species Plagioscion Squamosissimus

As part of a project to iniciate an Enviromental Engineering undergraduate student in the scientifict world of advance researchers, the purpose of this study is to model the allometric relationship between weight and length of the species Plagioscion squamosissimus, a Brazilian Cerrado region fish, commonly known as Cerrado croaker. This fish, among other species, is the reason for the research project “Peixe Vivo” (Fish Alive), launched by a Brazilian company, whose data is the source for this research. The motivation to use the fuzzy set theory comes from the fact that, when the objective is to determine the curve that defines the allometric relation of the fish, the path between the measured weight-length measurement until the simulation of the model is reached, is full of inaccuracies. In order to solve this problem and make the modeling more consistent with reality, an important tool of the fuzzy theory is used: the Zadeh Extension Principle. In this way, a pertinence to the deterministic allometric relation is incorporated, inserting the variations that actually occur in the real data and in the course of the modeling process. As a computational tool, it is used the free software GeoGebra that provides a simple way to develped the model and a simultaneous its graphical interpretation.

Quadruped locomotion

This chapter considers locomotion in living machines, focusing particularly on mammals and on the possibility of designing mammal-like quadrupedal robots. Locomotion is the movement of an organism or a machine from one place to the other, covering a defined minimal distance. In organisms, locomotion usually is driven by a central element and/or appendices. Vertebrates are characterized by the existence of a spine and the mechanics of an endoskeletal system. The amphibio-reptile type of vertebrate locomotion shows oscillations of the body stem mainly in the horizontal, which are coupled to the ground by legs with two long segments. The vertical oscillations of the body stem in the mammal type of quadrupedal locomotion are coupled to the ground by legs with three long segments. For any size of animal and any allometric relation between mass and ground reaction force the resonance mechanisms of gravitational and spring-mass-pendula are tuned to one each other. Elongated feet allow torque exchange with the substrate.

Allometric analysis of a morphological anti-predator trait in geographic populations of Japanese crucian carp

Costly anti-predator traits tend to be expressed only in high-predation conditions. For the cyprinid fish genus Carassius, deeper body depth is more adaptive to avoid predation by gape-limited piscivorous fish, but it raises swimming costs. It is therefore predicted that the relative body depth will decrease when the prey fish has reached a size larger than the predator gape-size. This prediction was tested by allometric analysis of the relation between body depth and standard length of triploid asexual females of the Japanese crucian carp (Carassius auratus sspp.) sampled from 13 geographic populations. The overall allometric relation was not significantly different from isometry. The estimate of the common major-axis slope was close to 1 (near-isometry). The mean relative body depth differed significantly among populations. A significant positive correlation was found with the mean annual air temperature. The geographic variation suggests that local selection pressures vary. In conclusion, the hypothesis that larger fish will have lower body depth was not supported, perhaps indicating that deep body depth in large fish is adaptive for some reason other than defense against piscivorous fish.

Physiological rates in different classes of sizes of Perna perna (Linnaeus, 1758) submmited to experimental loboratory conditions

Physiological studies of the mussel Perna perna in Brazil are almost 30 years behind those of other, more exhaustively investigated species, such as Mytilus edulis. Little is known about the variations in physiological rates due to size and the consequences of maintaining P. perna in laboratory conditions. This work investigated the variations in respiration, clearance, excretion and absorption efficiency rates of P. perna, classified by size and acclimatized in a laboratory, monitoring the mussels’ respiration rates and biometry over a period of 30 days, in laboratory conditions. The respiration, clearance and excretion rates presented an allometric relation with the dry weight of the organisms, with b values of 0.66, 0.48 and 0.91 respectively. On the other hand, these same rates, when considered by weight (specific rates) showed a relationship that was inverse to the size of the organisms. Only the absorption efficiency was independent of the weight of the mussel. In terms of acclimatization, it was observed that it takes 10 days for the respiration rate of the mussel P. perna to stabilize in laboratory conditions, after which it follows a routine metabolism.

Relationship between body mass and body length in capybaras (Hydrochoerus hydrochaeris)

As a part of a management program we captured 39 capybaras (Hydrochoerus hydrochaeris) in an agroecosystem at the east central region of the State of São Paulo, Brazil from March 2001 to May 2002. Average adult male body mass was 54.1 ± 8.05 kg, and average adult female body mass was 62.0 ± 12.03 kg. Average juvenile male body mass was 23.0 ± 8.28 kg, and average juvenile female body mass was 26.7 ± 5.86 kg. Males and females presented a significant variation in the allometric relation between body mass and body length. Body mass and body length had a high correlation for both adult males and adult females. These results from capybaras in agroecosystem might be relevant for further management programs.