For the uninitiated, the concept of pet sitting services may seem a novel, perhaps even frivolous concept. However, a closer analysis of the dynamics of today’s increasingly busy lifestyle, coupled with the undying affection for our furry friends, puts the need for such services into perspective.

Pet sitting services stand at the intersection of convenience and care, providing comprehensive solutions for pet owners facing the dilemma of leaving their pets alone at home. These services, often backed by professionals with formal training in animal behavior and care, offer a broad spectrum of facilities ranging from daily walks to overnight stays, medical care, and even grooming.

The hallmark of these services is the undivided attention and personalized care they offer, a marked contrast from traditional solutions like kennels or day-care centers where the care is, by necessity, divided among several pets. This one-on-one focus allows the pet sitter to cater to the unique needs of each pet, thus ensuring their physical and emotional well-being in the owner's absence.

The workings of pet sitting services are structured, yet flexible, designed to meet the variable needs of different pets and their owners. Typically, the process begins with a preliminary meeting between the owner, pet, and sitter. This meet-and-greet allows the sitter to comprehend the pet’s needs, temperament, and routines, and the owner to evaluate the sitter’s capability.

Subsequently, a schedule is drawn up based on the pet's routines and the owner's requirements. This could involve several visits a day for feeding, walking, playing, or even overnight stays for pets needing constant companionship. The best pet sitting services also offer real-time updates to the owner, providing peace of mind about their pet’s well-being.

The 'why' behind the growing demand for pet sitting services is multi-faceted. In the modern era characterized by nuclear families and demanding work lives, pet owners often struggle with providing consistent, quality care for their pets. Moreover, increasing awareness and sensitivity towards the emotional needs of pets have led to a reluctance to opt for impersonal solutions like kennels.

Here, pet sitting services bridge the gap, providing professional care without compromising on the personal touch. The result is a stress-free owner and a happy, well-cared-for pet.

While the benefits of pet sitting services are innumerable, it’s crucial for pet owners to make informed choices. Evaluating the sitter's qualifications, referrals, and compatibility with the pet can make all the difference to the experience.

From an economic perspective, the emergence and growth of pet sitting services are indicative of the shift from a market economy to a service economy. Where the pet industry once revolved around tangible goods like food and toys, the demand has expanded to intangible services aimed at improving the quality of life for pets. It's a classic example of the economic principle of derived demand - the demand for pet sitting services stems from the demand for pet well-being.

In conclusion, pet sitting services represent a robust solution to a modern problem. Leveraging professional expertise, these services cater to the physical and emotional needs of pets, providing them with personalized care in familiar surroundings. For pet owners, they offer the invaluable comfort of knowing their pets are in capable, caring hands. As the dynamics of our lives continue to evolve, services like these are a testament to our ability to adapt and innovate for the sake of our beloved pets.