Fishing charters represent a confluence of several disciplines, from economics to marine biology, each playing a critical role in the operation and success of this fascinating industry. A fishing charter is, in essence, a service provided by boat owners which allows individuals to experience fishing in areas they might not typically access. The operation of these charters is not a simple task; it relies on an intricate blend of science, logistics, and economics, all intertwined with a healthy respect for the unpredictability of nature.

Economics plays a significant role in the operation of fishing charters. To understand this, we need to appreciate the basic economic principle of supply and demand. The demand for fishing charter services is fueled by consumers - fishing enthusiasts, tourists, researchers, and even locals - seeking unique fishing experiences. On the supply side, charter companies offer an array of services that cater to different clients' preferences, including various fishing techniques, species targeted, and durations. The interplay of supply and demand, coupled with external factors such as weather and fishing seasons, shapes the pricing structures and availability of these services.

On a purely operational level, fishing charters revolve around marine biology. Understanding the behavior of various aquatic species - their habitats, migration patterns, feeding habits - is paramount to ensure a successful fishing expedition. This knowledge helps charter operators determine the most productive fishing spots, the best time to fish, and the most effective bait and tackle to use. The science of Ichthyology, the study of fish, therefore, is of vital importance to the fishing charter industry.

Additionally, charter operators must have a thorough understanding of maritime laws and regulations. These vary greatly depending on the jurisdiction and can impact everything from the fishing methods permitted to the species and sizes of fish that can be legally caught. Compliance with these laws is not just a legal obligation; it is also vital for the sustainability of fish populations and the preservation of marine ecosystems.

Fishing charters also incorporate advanced technologies to improve their operations. Modern fishing vessels often come equipped with state-of-the-art equipment like GPS, sonar fish finders, and weather forecasting tools. These technologies facilitate precise navigation, efficient fish location, and prediction of weather conditions - all crucial to a successful and safe fishing trip.

However, the use of technology in fishing charters is not without its trade-offs. For instance, while sonar can detect fish, excessive or improper use can disrupt marine life, causing detrimental effects on fish behavior and potentially impacting the fishing experience over time. Similarly, relying heavily on GPS can lead to overfishing in certain areas, negatively affecting marine biodiversity. It is thus incumbent upon charter operators to utilize technology judiciously, striking a balance between operational efficiency and ecological responsibility.

To visualize this from a mathematical or statistical perspective, consider the route optimization problem. Charter operators often employ mathematical models to determine the most efficient route that will maximize the likelihood of a successful catch while minimizing fuel consumption and travel time. This problem is analogous to the famous 'travelling salesman problem' in operations research and is often solved using similar optimization algorithms.

In terms of social sciences, fishing charters also play a role in fostering community ties and promoting cultural exchange. They serve as a platform for individuals from diverse backgrounds to interact and learn from one another, be it discussing different fishing techniques or sharing folklore related to the sea.

In conclusion, fishing charters are a comprehensive confluence of various disciplines. The economic principle of supply and demand dictates their financial viability, while marine biology guides the practical implementation. Maritime laws provide the regulatory framework, and technology offers tools for operational efficiency. However, with these tools comes the responsibility of maintaining ecological balance. Mathematical and statistical concepts come into play in optimizing routes for fishing expeditions, and finally, the social impact is seen in the cultural exchanges and community bonds that these charters foster. Therefore, fishing charters are not only about providing a unique fishing experience but also about maintaining a delicate balance between commerce, science, technology, and social responsibility.