Has a lot of the same elements as urban EDC I think:

• Fake wallet with not much money and bogus cards, pictures.
• Real wallet, with cash, cards, ID, emergency contact info.
• Cheaper watch - timex, casio, etc.
• Reflective and light colored clothing - nothing expensive looking to draw attention. Consider one or two LED based reflective signal lights.
• Walking stick
• Whistle around neck.
• Flashlight - bright enough to blind temporarily
• Pepper Spray or equivalent.... you just never know, even in "safe" areas.
• fold-away hat and jacket, the kind that fold into their own pocket + poncho for heavy rain
• Water + sugary snack
• cell phone
• pocket knife
• Meds for any medical conditions
• Good walking shoes

I suppose a compass if you are exploring or don't konw the territory well.