As we gallop towards a future marked by relentless technological progression and evolving consumer needs, a sector that is bound to experience significant transformation is that of horse-transport services. With this in mind, we delve into the trajectory of forthcoming trends and make a few informed predictions about what lies ahead in this niche but critical market.

First and foremost, the horse-transport industry operates in a unique space, blending elements of livestock management and logistics, making it particularly susceptible to changes in both sectors. It is essential to understand that equine transportation is not merely a mechanical process but one that directly affects the health and wellbeing of animals. Thus, a balance needs to be struck between efficiency and sensitivity to equine needs.

One of the primary predictions for the future of horse-transport services is the increased incorporation of technology. Already, we have seen GPS tracking and real-time updates becoming commonplace in this industry. This technological infusion aids in efficient route planning, ensuring minimal travel time, while also allowing for quick adjustments in case of unanticipated road conditions or emergencies. It is foreseeable that advancements in AI and machine learning may further refine this process, learning from past data to predict the most efficient routes and best times for travel.

However, it is crucial to juxtapose this prediction against the tradeoff that may be involved. A key concern is the possibility of over-reliance on technology, which may lead to negligence of the horses' physical condition during transit. A business calculus that privileges logistic efficiency over equine health would not only be ethically questionable but could also lead to legal and financial repercussions under animal welfare laws.

Hence, the integration of health monitoring systems in horse-transport services is another emerging trend to watch. We anticipate an increase in the usage of biometric sensors and wearable technology that can provide real-time information about a horse's vital signs. Such emerging technologies will allow for better monitoring of the horses, ensuring they are not unduly stressed or uncomfortable during the journey.

But we also need to consider the economic factors that could potentially shape these trends. The implementation of such technology, while beneficial, would inevitably increase the cost of service. This could potentially price out certain demographic groups, creating an unintended elitist market. For this reason, we may also see a rise in shared or cooperative horse-transport models to distribute the financial burden and make the service accessible to a broader customer base.

Furthermore, the future of horse-transport services will also be shaped by broader socio-political and environmental trends. As society becomes more environmentally conscious, the demand for sustainable practices will permeate this industry as well. Bio-fuelled or electric horse-transport vehicles could become more prevalent in a bid to reduce carbon emissions.

Simultaneously, the landscape of international relations and trade agreements will also impact this industry. Changes in cross-border regulations, animal welfare laws, and import/export duties will dictate the course of international horse-transport services.

In conclusion, while we cannot predict the future with absolute certainty, our analysis suggests that the future of horse-transport services will be marked by increased incorporation of technology, a greater emphasis on equine health monitoring, a potential shift towards shared transport models, and a growing commitment to environmental sustainability. However, we must always remember that this industry operates at the intersection of complex legal, ethical, and economic domains, making it a fascinating study of how diverse forces shape its evolution.