Abstract: Since mathematical sociology was firmly established in the 1960s, it has grown tremendously. Today it has an impressive scope and deals with topical problems of social structure and social change. A distinctive feature of today's use of mathematics in sociology is the movement toward a synthesis between process, structure, and action. In combination with an increased attention to social mechanisms and the problems of causality and temporality, this synthesis can add to its relevance for sociology in general. The article presents recent advances and major sociological research streams in contemporary sociology that involve the application of mathematics, logic, and computer modeling.

Abstract: An early training procedure commonly termed “foal imprint training” is widely promoted in the horse industry. However, there have been no published scientific investigations of its efficacy. This study determined the effects of a training procedure on foals and their reaction to stimuli used in the early training procedure, and to a novel stimulus, at 1, 2 and 3 months of age. Twenty-five foals received a standard training procedure at 2, 12, 24, and 48 h after birth. After the training procedure, the foals received minimal additional handling that included veterinary treatments and occasional relocation. Twenty-two foals born over the same time period served as controls. All 47 (25 trained, 22 control) foals were tested at 1 month of age. Only 20 were available for testing at 2 months of age, and nine were available at 3 months. Percentage change from baseline heart rate, time required to complete exposure to each stimulus (foals that were more reactive took longer) and the behavior of each foal during the introduction of each stimulus were recorded. Overall, the control foals tended to receive lower (better) behavioral scores at 1 and 2 months of age. Foals that underwent the training procedure tended to require less time to complete exposure to the stimulus and had lower heart rates during exposure to the stimuli at 1 and 2 months of age. By 3 months of age, there were no significant differences between trained and control foals for any measures. Early training was not efficacious in this study.

Abstract: The evolution of the horse began some 65 million years ago. The horse"s survival has depended on adapative behaviour patterns that enabled it to exploit a diverse range of habitats, to successfully rear its young and to avoid predation. Domestication took place relatively recently in evolutionary time and the adaptability of equine behaviour has allowed it to exploit a variety of domestic environments. Though there are benefits associated with the domestic environment, including provision of food, shelter and protection from predators, there are also costs. These include restriction of movement, social interaction, reproductive success and maternal behaviour. Many aspects of domestication conflict with the adaptive behaviour of the horse and may affect its welfare through the frustration of highly motivated behaviour patterns. Horse behaviour appears little changed by domestication, as evidenced by the reproductive success of feral horse populations around the world.

Abstract: The horse is a social species living in herds and spending the majority of its time roaming and foraging in a diverse and seasonally-varying environment. As a non-ruminant herbivore it is well suited to a high fibre, low starch diet. Domestication has resulted in a number of benefits to the horse, reflected in its continued prevalence and apparently increased life expectancy, but it has not been without its price. Especially in developed countries, horses kept for leisure purposes (which includes all competition and racing horses) are often confined, possibly away from conspecifics, within a stable for a large proportion of the day. Due to increased energy requirements many horses now receive one to two large meals a day, consisting of feedstuffs with a low water content and often a radically different nutritional profile from the diet that they would be able or would choose to select in the wild. These modern practices have benefits but also potential disadvantages to the horse both nutritionally and behaviourally which may have an impact on welfare. This chapter highlights areas where dietary imbalances or inappropriate feeding practices may potentially have an adverse effect on welfare and gives suggestions on how these may be ameliorated.

Abstract: Apparently functionless, repetitive behaviour in horses, such as weaving or crib-biting has been difficult to explain for behavioural scientists, horse owners and veterinarians alike. Traditionally activities such as these have been classed amongst the broad descriptor of undesirable stable vices and treatment has centred on prevention of the behaviours per se rather than addressing their underlying causes. In contrast, welfare scientists have described such activities as apparently abnormal stereotypics, claiming they are indicative of poor welfare, citing negative emotions such as boredom, frustration or aversion in the stable environment and even suggesting prevention of the activities alone can lead to increased distress. Our understanding of equine stereotypics has advanced significantly in recent years with epidemiological, developmental and experimental studies identifying those factors closely associated with the performance of stereotypics in stabled horses. These have allowed the development of new treatments based on removing the causal factors, improving the horses“ social and nutritional environment, re-training of horses and their owners and redirection of the activities to less harmful forms. Repetitive activities conventionally seen as undesirable responses to the stable environment, their causal basis and the effectiveness of different approaches to treatment are discussed, both in terms of reducing the behaviour and improving the horse”s quality of life.