These models and simulations have been tagged “NRES 470”.
What are the effects of connectivity of subpopulations on population viability?
ΔF = i•f(1-f) – pe(f)
pi = i•F
ΔF = pi(1-f) – pe(f)
ΔF = pi(1-f) – e(1-f)•f
pe = e(1-f)
![[shared, don’t modify] patch rates p(e/i) are variables informed by rates e/i for Internal Colonization model ΔF = i •f(1-f) – pe(f) pi = i •F](https://insightmakercloud-files.storage.googleapis.com/0251dab7-689e-483a-8f17-22694011c547/images/cover.jpg?X-Goog-Algorithm=GOOG4-RSA-SHA256&X-Goog-Credential=insightmakercloud-file-access%40insightmakercloud.iam.gserviceaccount.com%2F20250802%2Fauto%2Fstorage%2Fgoog4_request&X-Goog-Date=20250802T202800Z&X-Goog-Expires=3600&X-Goog-SignedHeaders=host&X-Goog-Signature=18bb2dcb0b79453e08dbebe2791a454bb6a1529b478a810bcaad09378a957fa22bd088ef4e0df76f18ea6e4d5dbfa346220880484efbe228962218e2920e19b596032143ee2230ee91d7371ddc0e5ff9c9997e1fa934e8f52fbd39c373f6f05f8b3947a1c72a5f0a78e273c94cf97b349040af8a7a4169baa21b49ecf2bd6c6486d0b750e3dddb58c8771166d8909bbab199e9527160d9b225c5a8f9a42af6f7017e496d3d3a0211a1c230526595e8bd421ee25ef8e817f037903340964a88cfcce51e02991061806f0918b83b967c9abfbd5713f8cd4e8696337db0c3f99ffa98a0f85d5c3eb7f10ed8fc292774b0857e64e0a2a41dd2214049e7ade13472f4)
![[shared, don't modify]](https://insightmakercloud-files.storage.googleapis.com/850b81e4-f570-42ec-9820-7d09710eab07/images/cover.jpg?X-Goog-Algorithm=GOOG4-RSA-SHA256&X-Goog-Credential=insightmakercloud-file-access%40insightmakercloud.iam.gserviceaccount.com%2F20250802%2Fauto%2Fstorage%2Fgoog4_request&X-Goog-Date=20250802T202800Z&X-Goog-Expires=3600&X-Goog-SignedHeaders=host&X-Goog-Signature=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)
![[shared, don’t modify] patch rates p(e/i) constant under Island-Mainland model. ΔF = pi(1-f) – pe(f)](https://insightmakercloud-files.storage.googleapis.com/ee239372-1877-4448-8a27-991890006e6d/images/cover.jpg?X-Goog-Algorithm=GOOG4-RSA-SHA256&X-Goog-Credential=insightmakercloud-file-access%40insightmakercloud.iam.gserviceaccount.com%2F20250802%2Fauto%2Fstorage%2Fgoog4_request&X-Goog-Date=20250802T202800Z&X-Goog-Expires=3600&X-Goog-SignedHeaders=host&X-Goog-Signature=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)
![[shared, don't modify]](https://insightmakercloud-files.storage.googleapis.com/5bb8c3b6-3574-4ad0-aa6e-ed04848e9340/images/cover.jpg?X-Goog-Algorithm=GOOG4-RSA-SHA256&X-Goog-Credential=insightmakercloud-file-access%40insightmakercloud.iam.gserviceaccount.com%2F20250802%2Fauto%2Fstorage%2Fgoog4_request&X-Goog-Date=20250802T202800Z&X-Goog-Expires=3600&X-Goog-SignedHeaders=host&X-Goog-Signature=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)
![[shared, don't modify]](https://insightmakercloud-files.storage.googleapis.com/0de47b27-ee94-47f8-b111-61db4380af10/images/cover.jpg?X-Goog-Algorithm=GOOG4-RSA-SHA256&X-Goog-Credential=insightmakercloud-file-access%40insightmakercloud.iam.gserviceaccount.com%2F20250802%2Fauto%2Fstorage%2Fgoog4_request&X-Goog-Date=20250802T202800Z&X-Goog-Expires=3600&X-Goog-SignedHeaders=host&X-Goog-Signature=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)
![[shared, don’t modify] ΔF = pi(1-f) – e(1-f)•f pe = e(1-f)](https://insightmakercloud-files.storage.googleapis.com/02ee7bd9-2d37-4731-a62e-3da9ff2ffd38/images/cover.jpg?X-Goog-Algorithm=GOOG4-RSA-SHA256&X-Goog-Credential=insightmakercloud-file-access%40insightmakercloud.iam.gserviceaccount.com%2F20250802%2Fauto%2Fstorage%2Fgoog4_request&X-Goog-Date=20250802T202800Z&X-Goog-Expires=3600&X-Goog-SignedHeaders=host&X-Goog-Signature=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)
