Here is the rub regarding the easement. Even though you are responsible for the easement and have to take care of it, it is public property. That means people can sit on it, walk on it, and walk their dogs on it. You get to mow it and generally in most communities you cannot cut down trees without the city's permission, especially those cities that have Tree USA designations. But you can't stop dogs from pooping on it.
In many communities there is a pooper scooper law that requires you to pick up your dog's poop. If caught not doing so, there is a fine.
Good luck to all of us home owners.

It's the city's property and frankly, there's nothing you can do about a dog peeing on it. If the dog is peeing or pooping on your front lawn, then yes, that is illegal and you can call the police. If the dog is being walked on the grass b/w the sidewalk and the street and poops, you can call the police as well and that person may be fined if caught. If the dog is being walked on the grass b/w the sidewalk and street and he pees and poops but the dog owner cleans up, sure you can call the police if you'd like, but you will be laughed at. It amazes me that most times, the same people who complain about dogs walking in front of their house also tend to be the ones who don't bother shoveling and salting the sidewalk in front of their homes after a snow storm...

Jessica,

That green swath (or flowered patch or hardscaped segment) is truly the city's. But, be that the case or not, the home owner feels he/she has a vested interest in shooing pooing pooches as they seek to mark the parkway. As with all things urban the best defense is common sense. Not many neighbors would applaud an owner and pet doing their business amid an oasis of blooms though it be on the parkway. Nor are goldstars given to the militant ones whose walks are not deterred by areas newly seeded for grass to be. By the same token, precious little empathy is expressed for the vein-throbbing overseers with anti-dog agendas. One thing sure to be received well should you ambulate with a female dog - carry a water bottle on the journey and freely dowse her peed-upon area to alleviate the "burn" her high nitrogen content urine tends to leave. These marks are frowned upon by most who see them.

Happy trails to you,

Tom McCarey
The Real Estate Lounge

That land is owned by the city and is referred to as the "parkway". I am not sure that there is anything you can do about it. I find it amazing that these people do not clean up after thier pets.