By Ross H. Crozier, Pekka Pamilo

ISBN-10: 0198549423

ISBN-13: 9780198549420

Colonial residing is characterised via department of work and finely coordinated association; although, many occasions inside a colony are the results of conflicts among members trying to maximize their very own pursuits. This interaction of cooperation and clash has raised many questions in evolutionary biology, in particular how cooperative habit is maintained within the absence of direct replica by means of employees. How, then, is that this habit handed on? Authors Crozier and Pamilo's learn the genetic foundation of the styles of replica and source allocation present in social insect colonies - bees, wasps, ants, and termites. This entire examine has larger intensity and perception than any earlier paintings, and is an important breakthrough within the fields of social evolution and inhabitants genetics.

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Extra resources for Evolution of Social Insect Colonies: Sex Allocation and Kin Selection (Oxford Series in Ecology & Evolution)

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M}, t ∈ ∂ gjk (t + τ, ·) dτ Kα ϕ∗ (x) = ∂t ∆t m 0 ∆t = l=1 = 0 pjl glk (t + τ, ·) dτ Kα ϕ∗ (x) = F −1 [glk (t + τ, ·)Kα pjl ϕ∗ ](x) dτ = l=1 0 m ∆t l=1 (α) sjk (t, ·) ∗ ϕ∗ , fk∗ , ¸ (α) (sjk (t + ∆t, ·) ∗ ϕ∗ − sjk (t, ·) ∗ ϕ∗ )(x) = F −1 = F −1 ¹ º m sjk (t, ·) ∗ fk , ϕ ϕ∗ (x) = ϕ(−x), fk∗ (x) = fk (−x)º ∈ [0, T ], ∆t = 0 (t + ∆t ∈ [0, T ])¸ x∈R ¸ (α) Rα (t)f t ∈ [0, T ] (α) uj (t), ϕ =  (α) slk (t + τ, ·) ∗ pjl i ¾¸ ∂ ϕ∗ (x) dτ ∂x t ∈ [0, T ] (j = 1, . . , m), ¾ º þº¸ þ m d (α) u (t), ϕ = dt j m (α) = l=1 k=1 −i slk (t, ·) ∗ fk , pjl m (α) = k=1 l=1 m ∂ ϕ ∂x (α) slk (t, ·) ∗ pjl i (α) −i ul (t) , pjl = l=1 ∂ ϕ∗ , fk∗ ∂x ∂ ϕ .

M), ϕ ∈ Sα,A º ¾ º ï¿ º ÁÁ ¾℄ Xpm , p ∈ [1, ∞]¸ ´½µ ´ µ ϕ∈  p ∈ [1, ∞]¸ ´½µ ¸ ´½µ fδ β,B ′ Sα,A º ï¾ Kα ¸ f − fδ Xpm Xpm ¸ β,B Sα,A Xpm , u(t) − Rα (t)fδ ¿ ººº º ÁÁ ¾℄¸ p ∈ [1, ∞]¸ ¸ ≤ u(t) − Kα ∗ u(t) Xpm Xpm º ½¸ Xpm , p ∈ [1, ∞]¸ ≤δ ≤ u(t) − Rα (t)f ¹ Xp u(t) f¸ + Rα (t)f − Rα (t)fδ Xpm + Rα (t) δ º ≤ ´ µ Kα (x) dx = 1¸ R ¸ u(t) − Kα ∗ u(t) Xpm ≤ R u(t) − uy (t) ´½¼µ (y) y ∈ R¸   ´½µ t ∈ [0, T ] Mp , p ∈ [1, ∞]¸ Xpm ¸ u(t) ∂ uj (t) (j = 1, . . , m), t ∂x [0, T ]º u(t) R Xp ¿º  sup ω(u(t0 ), y) ≤ 0≤t0 ≤T u(t) ∈ Mp , p ∈ [1, ∞]¸ 2M1 |y|, 2M, |y| ≤ M/M1 , |y| > M/M1 , M = sup 0≤t≤T M1 = sup 0≤t≤T º ω(u(t0 ), y)º ½µ  y∈R ω(u(t0 ), y) ≤ u(t0 ) u(t0 ) − uy (t0 ) ∂ − u(t0 ) y ∂x ¸ = nδ, n ∈ N u(t) ¹ ¹ ¹ ∈ Xpm , ∂ u(t) ∂x Xpm .

1 ¸ M ¸ ¹ ¿ ºýº ½℄ þ ¾℄ ¿℄ ℄ ℄ º¹ º¸ üº º  ¹  »» ¾¼¼¿º º º ¿¹ ¿º Ǻ Ö ÒÓ¸ º ¨eÖ ¸ ÅÓÖ ÓÒ ÓÖ Ò ÖÝ Ö ÒØ Ð ÕÙ Ø ÓÒ× Û Ý Ð Ô Ö Ó ×ÓÐÙØ ÓÒ× Ó Ö ÒØ Ð Ð Ý ÕÙ Ø ÓÒ×»» º Å Ø Ñ Ø Ð Ò ÐÝ× × Ò ÔÔÐ Ø ÓÒ׺ ½ ¿º κ½ ¼º í ¾º Ⱥ¿ ½¹ ¿ º ÓÛ Ëº ƺ¸ Ï ÐØ Ö Àº¹Çº Ö Ø Ö ×Ø ÑÙÐØ ÔÐ Ö× Ò ×Ø Ð ØÝ Ó ×ÝÑÑ ØÖ Ô Ö Ó ×ÓÐÙØ ÓÒ× ˙ = g(x(t − 1))»» ÌÖ Ò× Ø ÓÒ× Ó Ø ºÅºËº ½ º κ¿¼ º í½º Ⱥ ½¾ ¹½ ¾º Ó x(t) Ñ ÒÒ Çº¸ Ú Ò Ð× Ëº¸ Î Ö ÙÝÒ ÄÙÒ Ð Ëº ź¸ Ò Ï ÐØ Ö ÀºÇº¸ Ð Ý ÕÙ Ø ÓÒ× ÙÒ
Ø ÓÒ Ð¹¸ ÓÑÔРܹ ¸ Ò ÆÓÒÐ Ò Ö Ò ÐÝ× ×¸ ËÔÖ Ò Ö¸ Æ Û ÓÖ ¸ ½ º Ë Ù Ú× ºÄº¸ Ï ÐØ Ö Àº¹Çº ÇÒ Ø ÐÓÕÙ Ø ÑÙÐØ ÔÐ Ö× Ó Ô Ö Ó ×ÓÐÙØ ÓÒ× ØÓ ÒÓÒÐ Ò Ö ÙÒ
Ø ÓÒ Ð Ö ÒØ Ð ÕÙ Ø ÓÒ×»» º Ó Ò Ñ × Ò Ö ÒØ Ð ÕÙ Ø ÓÒ× ¾¼¼ º κ ½ ¸ í¾º È ¾ ¹¿ º ½ º ½º ½¿º ¸ ½ º ½ º ú º º¸ º ü º¸ º û ü ü ü º º üþü ý  þ ¸ ¹ º ¹ ¹  º þ º º ½ º ½º þ ¹ ¸ ¼ º º º ´ µ ¸ ½  º ´ ¸ º ºµº ¸ ¸ ºþ ¸  ¾º ú ¾º½º þ ¸ ¸ ¹ ¹ ¹ º ¸ º º ü  ¹ ¹ ¸ ¸ ¸ º º þ ¸ ¸ º ´ º ¸ ¸ ¸ ׸ ÁÒ
º  º  ¹ ¹ ¹ º ¹ ¾º¾º ÁÒØ Ð Ì ÒÓÐÓ ¹ û ¸ ½ ¹ ¹ ¹  ¸  ¹ º º º ¹ ü  µ¸ ¹ ¹ ¹ ¹   ´ ¼ ¹¼½¹¼¼½ ½¸ ¼ ¹¼½¹¼¼¾½½µ ¿ º ú ûº þ ºý ¸ º¸ º º¸ º º ¹  º ¿℄ ø  ¸ º ¾º¿º Ω A0 = Ö Ñ Ò S(A, δ0 ) Ω¸ ø Ω þ ´ ý µ  ËÁË S(A, δ) ¾º º º  º A ∈ Λº δ0 ∈ Ω A´ ËÁË ´ º ø  º ¸ º ¹ º ¹ ¹ ¹ º º ´ ¹ µ ¸ ´¾µ  º º µº  ´ ¸  {+, −, ×, /}º  º ¸   ¹ ¸  º ´½µ  ¸ ¸ ºý ¾º º ¹ º ý º º ¹ ¸ º ¸ ´¿µ µ¸ ¸     ℄µ¸ Λ ´½ º ý º þ ¹ ¹ ¸ º ¸ ¸ Λ S(A, δ0 ) Λµº δ0 A ∈ Λº ý ¸  ý ¹ ¹ º µ ´ ¸ ¹ ¹ ¹ ¹ ºý µ ´ ¸ ¹ ¹ º ¿ º ´ µº ´ µ ¸ ¸ º þ º ¸ µ¸ º º ¸ ø º ý º P1 (δ), P2 (δ) .

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Evolution of Social Insect Colonies: Sex Allocation and Kin Selection (Oxford Series in Ecology & Evolution) by Ross H. Crozier, Pekka Pamilo


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