{"action":"opened","issue":{"url":"https://api.github.com/repos/briandconnelly/nicheconstruct/issues/86","labels_url":"https://api.github.com/repos/briandconnelly/nicheconstruct/issues/86/labels{/name}","comments_url":"https://api.github.com/repos/briandconnelly/nicheconstruct/issues/86/comments","events_url":"https://api.github.com/repos/briandconnelly/nicheconstruct/issues/86/events","html_url":"https://github.com/briandconnelly/nicheconstruct/issues/86","id":98450958,"number":86,"title":"Simulations with Costs for Increased Population Size","user":{"login":"briandconnelly","id":658158,"avatar_url":"https://avatars.githubusercontent.com/u/658158?v=3","gravatar_id":"","url":"https://api.github.com/users/briandconnelly","html_url":"https://github.com/briandconnelly","followers_url":"https://api.github.com/users/briandconnelly/followers","following_url":"https://api.github.com/users/briandconnelly/following{/other_user}","gists_url":"https://api.github.com/users/briandconnelly/gists{/gist_id}","starred_url":"https://api.github.com/users/briandconnelly/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/briandconnelly/subscriptions","organizations_url":"https://api.github.com/users/briandconnelly/orgs","repos_url":"https://api.github.com/users/briandconnelly/repos","events_url":"https://api.github.com/users/briandconnelly/events{/privacy}","received_events_url":"https://api.github.com/users/briandconnelly/received_events","type":"User","site_admin":false},"labels":[{"url":"https://api.github.com/repos/briandconnelly/nicheconstruct/labels/experiment","name":"experiment","color":"5319e7"},{"url":"https://api.github.com/repos/briandconnelly/nicheconstruct/labels/paper","name":"paper","color":"d4c5f9"}],"state":"open","locked":false,"assignee":{"login":"briandconnelly","id":658158,"avatar_url":"https://avatars.githubusercontent.com/u/658158?v=3","gravatar_id":"","url":"https://api.github.com/users/briandconnelly","html_url":"https://github.com/briandconnelly","followers_url":"https://api.github.com/users/briandconnelly/followers","following_url":"https://api.github.com/users/briandconnelly/following{/other_user}","gists_url":"https://api.github.com/users/briandconnelly/gists{/gist_id}","starred_url":"https://api.github.com/users/briandconnelly/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/briandconnelly/subscriptions","organizations_url":"https://api.github.com/users/briandconnelly/orgs","repos_url":"https://api.github.com/users/briandconnelly/repos","events_url":"https://api.github.com/users/briandconnelly/events{/privacy}","received_events_url":"https://api.github.com/users/briandconnelly/received_events","type":"User","site_admin":false},"milestone":null,"comments":0,"created_at":"2015-07-31T18:56:52Z","updated_at":"2015-07-31T18:56:52Z","closed_at":null,"body":"Reviewer 1 commented:\r\n\r\n>L172 / Eq 4 The costs and benefits of cooperation are always crucial in models like this, but while the costs are clear, the benefits are spread out using this equation. I feel like this should be clarified a little more - can the effects of this equation be reproduced in equation 2 such that both the costs and benefits of cooperation are explicitly expressed through effects on individual fitness?\r\n\r\nA simple way to address this might be to use diminishing benefits, which can be done by raising the `p` parameter in the `S(p)` equation (Equation 4) to some power γ (a.k.a. gamma). Although it doesn't directly affect fitness, it does affect the c/b ratio.\r\n\r\n![gamma-cost](https://cloud.githubusercontent.com/assets/658158/9014937/75d0182c-377a-11e5-9bdc-8e13146e2e6a.png)\r\n\r\nIn this plot, the green line shows `S(p)` as we have been using it in both papers. The red and ugly yellow-green lines show some diminishing returns. For a more complete picture, we could also do some runs with *accelerating* returns, which are the blue and purple lines.\r\n\r\n- [ ] Do simulations with diminishing returns. gamma={0.25, 0.5}\r\n- [ ] Do simulations with accelerating returns. gamma={1.5, 2.0}\r\n- Combine data and create figure(s)\r\n    - [ ] Time series plot \r\n    - [ ] Integral in each of the treatments? We haven't used the integral in this paper yet, so would require explanation\r\n- Add relevant things to repository\r\n    - [ ] Configuration file(s)\r\n    - [ ] Data set\r\n    - [ ] Analysis scripts\r\n    - [ ] Figures"}}