I think the task is not difficult, but requires more "initial conditions" for its decision. My team and I will help with pleasure, but we need numbers, criteria and targets for the final result.

its very interested project ,good luck

Hi Benoit,  I'm not sure if your question refers to the benefits of national parks to humans living near them or to communities of organisms.   For humans, I think the literature is quite large and if you dig into you'll find what you're looking for.  IUCN worked issues similar to this in the past 

https://portals.iucn.org/library/efiles/documents/2005-007.pdf

We developed a framework for considering the benefits of protected areas to locations outside of them, but in the context of migratory species.

https://www.researchgate.net/publication/305045492_How_do_migratory_species_add_ecosystem_service_value_to_wilderness_Calculating_the_spatial_subsidies_provided_by_protected_areas

Article How do migratory species add ecosystem service value to wild...

Thank you for your three answers. The type of information that I am looking for is similar to the Hoffman article (very interesting, thank you), where animals move outside of a PA, but on a smaller scale. How do a PA can increase the quality of hunting or trapping in a 10 km radius zone around a national park?

From your short description I take that the Canadian NPs with huntable species are unfenced. Correct? All? Elsewhere NPs may be fenced (Etosha, Namibia; Hoge Veluwe, Netherlands). It would also seem the Canadian cases have a hunting ban within their perimeter. In other regions hunting rights within NP and other protected areas (PA) occur or apply both in and outside the NP/PA. Unfenced protected areas in Africa and Europe often represented cost for bordering villages and farms through livestock kills and crop field damages (e.g. elephant; wild boar; lion). The owner of the NP/PA (public or private) therefore has to compensate such costs. In case of public ownership, the damage compensation is so burocratic and delayed that it becomes irrelevant for the farmer.  

See my African elephant papers and some other contributions to RG Q&A on the topic for some perspective.

Dear Mr. Gils

I was not so precise in my question, i admit. But thank you anyway for your reflection.

In fact, I saw many studies on the effect of the spill over from marine protected areas on fisheries. I am looking for the same type of data, but in terrestrial (Canadian) ecosystems. In my case, mooses, dears, bears, wild turkeys, lynx, weasels... are hunted or trapped in the peripheral zone of national parks. How the quality of these activities is improved by the protected area spill over?

you could interview the public about their values for the national Parks using a choice experiment. An attribute of the experiment cold be potential spill over effects.

K. Zander, I think you have suggested the only way to get credible data.

Thanks