No, they're not the same. Story of Seasons is a new series that developed from the Harvest Moon franchise but has some distinct features and gameplay differences.
They aren't identical. Harvest Moon was the original, and Story of Seasons is a continuation with its own tweaks and improvements. The worlds, quests, and overall feel can vary between the two.
Well, growth is a common theme. The main characters usually grow as individuals, learning new farming techniques or becoming more responsible. Family is also often a theme, whether it's about starting a new family or dealing with family members in the village. And nature is a theme too, with descriptions of the beautiful landscapes and how they impact farming.
The story of Harvest Moon Back to Nature typically revolves around a young protagonist who moves to a rural town. They inherit a farm and start a new life there. They engage in farming activities like planting crops, raising livestock, and building relationships with the local villagers. It's a story of growth, self - discovery, and the joys of rural living.