Ranching is a very different activity which in the west usually involves a cheap grazing lease on thousands of acres of public land... it is the governments land and they balance the concerns of all stakeholders.
Or your city could provide you with better services now that they have five extra millions each year. Better roads would allow you to move your cattle faster or to export your products better. So you lose some, but win some also.
Or maybe you will not need it, now that the new local restaurants opened want to buy your meat to feed the tourists. More competence and lower expenses to put your product in the market will allow you to sell your meat at a better price.
Tourists will want to buy souvenirs also. Maybe in stores owned by members of your family.
Your city will attract researchers. Science has a curious proven effect; each single researcher position creates tens of auxiliary jobs around to sustain their research.
In resume, the young adults in your city will have a range of new opportunities to settle, work and start a live project in their own city if they would desire so.
Or you can forget all of this and keep your cow
Be honest, do you really liked so much that stupid cow?
Wolves had proven again and again that produce more money that they remove. Had proven also that can save human lives reducing car collisions and that they positively protect agriculture and fixate water sources in the area.
Why should a few farmers (I agree that I should be more precise and use ranchers instead) force their will over the whole population and block the development of a local area?. Isn't this a democracy?. Who are this people to decide that their village can't receive tourism and that everybody in the area must be a rancher or migrate?
Environmental services aren't free. Some resources will need to be sacrificed to keep the machine working, and in any case cattle owners can reduce their losses to an acceptable level by several traditional and well tested ways.
To reply to your new point, an important part of democracy is the right of self-determination, and people get very upset when faraway majorities impose their wills despite the local majority disagreeing. Consider Catalonia, or other independence movements throughout history, or any number of instances of imperialism throughout history: should a national majority be able to force a local majority to give up their way of life / national independence / raison d'etre? That's how local residents who've been there for 20, 30, 60 years feel about outsiders coming in to diversify the economy or introduce wolves to eat their lambs -- why are the outsiders coming in and imposing their negatives on their apparently perfectly good way of life?
You need to check again the definition of democracy. This self-determination fairy tale has been repeated a thousand times but is still false.
> should a national majority be able to force a local majority to give up their way of life / national independence / raison d'etre?
Hum, yeeees? This is exactly the point of having a central government making the laws for the entire nation
Why? Because is their country also. Is --their-- land also.
They have exactly the same right to enjoy a well adjusted National park as any local