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 **Group 5**
-<html><font size=6 face="Arial">Sex ratio shift as an invasion strategy</font></html>
+<html><font size=6 face="Arial">Third wheeling as an invasion strategy</font></html>
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-Invasions of whitefly //B. tabaci// (left imagem, from Wikipedia) destroy plantations in the south of USA, Australia, China, among other countries. Several mechanisms have been isolated and tested in an experimental settings to reveal their contribution to invasion.
+Infestations of the whitefly //Bemisia tabaci// (left image, from Wikipedia) destroy plantations in the South of USA, Australia, China, among other countries. Several mechanisms have been isolated and tested in experimental settings to reveal how they contribute to this plague's success.
-Twelve different biotypes of whitefly have already been distinguished through phylogenetics analysis. One of these biotypes, referred to as 'B biotype', is native from Mediterranean asia and has been reported invading rapidly worldwide populations of whitefly of other biotypes. For instance, B biotype entered in both China and Australia in the 90s, where the native biotypes are ZHJ1 and AN, respectively.
+Twelve different biotypes of whitefly have already been distinguished through phylogenetic analysis. One of these biotypes, referred to as 'B biotype', is native from Mediterranean Asia and has been reported rapidly invading worldwide populations of whitefly of other biotypes. For instance, B biotype entered in both China and Australia in the 90s, where the native biotypes are ZHJ1 and AN, respectively.
-Interestingly, mating experiments between B and ZHJ1 and between B and AN indicated that neither could interbreed. The whitefly species is haplodiploid, therefore fertilized eggs generate diploid females and unfertilized eggs generate haploid males.
 Liu //et al.//  detected significant changes in sex ratio in both the indigenous and alien populations in both regions. In China, when populations of either B or ZHJ1 occurred alone, B usually had female
-ratios of 60~70%, which were higher than the 50~60% female ratios in ZHJ1. Very similar results also happened to AN biotype. This difference was even higher when the two different biotypes coexisted during the invasions. Then, the same group, decided to reproduce this behavior in controlled environments. Their results included a B biotype domination in mixed cohorts: "The relative proportion of B increased steadily with time and had totally supplanted ZHJ1 after 225 days." And also, it confirms the data of sex ratios in nature: "Each cohort was initiated with 50% females, and divergences in sex ratio among the different cohorts occurred with time. In cohorts with B only, the female ratio increased in the first 50 days and remained at 60~70% thereafter; in cohorts with ZHJ1 only, the female ratio remained at 50~60% throughout. In contrast, the female ratio of B in the mixed cohorts increased and reached 70~80% from days 50 to 150 when displacement was actively taking place, while that of ZHJ1 decreased to mostly 30~40%." And once again, very similarly happened to AN biotype.
+ratios of 60~70%, which were higher than the 50~60% female ratios in ZHJ1. Very similar results also happened to AN biotype. This difference was even higher when the two different biotypes coexisted during the infestations. Then, the same researchers decided to reproduce this behavior in controlled environments, and observed similar data as in nature, as well as B biotype invasion of indigenous biotypes.
-Scientists noticed some interference behavior in whiteflies was acting as a mechanism to change sex ratios within biotypes. Although identification of the progeny produced using nuclear DNA markers detected no hybrids, demonstrating reproductive isolation between B and ZHJ1 and between B and AN, effects inter-biotypes still happened, as it was showed that B interacting with an indigenous biotype could increase
+Interestingly, mating experiments between B and ZHJ1 and between B and AN indicated that neither could interbreed, although they could interfere in the frequency of copulation of the other biotype. For instance, in the presence of B biotype indigenous biotype couples could decrease their copulations. Oddly enough,  B-couple increases their frequency copulation in the presence of the indigenous biotype. Measurements of frequency of copulation and some other nice information are reported in the Supporting Online Material of Liu //et al//.
-production of female progeny by increasing its frequency of copulation, and at the same time could reduce the production of female progeny by the indigenous females through reducing copulation by the latter.
-This manipulation happened when two males from different biotypes and a female of a given biotype were placed together, the female was frequently courted by both males and courting and copulation could be interrupted by the second male - literally a third wheel.
-The most significant changes occur in the following scenarios (data from Supporting Online Material of Liu //et al//):
+This manipulation happens, literally, as a third wheel - the different biotype is able to court the female, but not to copulate with her. Moreover, copulation by indigenous individuals is partly blocked by B males that readily attempt to court with females of either biotype — a behavior not reciprocated by the indigenous males.
-  * (B♂)(B♀):     6.1 copulations;
-  * (B♂)(B♀)(B♂): 9.3 copulations;
-  * (B♂)(B♀)(Z♂): 8.9 copulations;
-  * (Z♂)(Z♀):     3.9 copulations;
+===== Assignment =====
-  * (Z♂)(Z♀)(B♂): 2.1 copulations;
-  * (Z♂)(Z♀)(Z♂): 3.9 copulations;
-Similar behavior to data occurred with B and AN biotypes, although numbers changed. Moreover, copulation by indigenous individuals is partly blocked by B males that readily attempt to court with females of either biotype — a behavior not reciprocated by the indigenous males.
+Propose and analyze a mathematical model for whitefly populations to investigate the strategy of changing copulation frequency in whiteflies biotypes.
+===== Suggested questions =====
-===== Assignment =====
-Propose a mathematical model at the level of populations to investigate the strategy of changing copulation frequency in whiteflies biotypes, the possible mechanism discussed above.
+  - Which conditions of frequency of copulation ensures biotype B's capacity to invade and displace indigenous populations? Under what circumstances do you observe B invasion in your model?
+  - Which conditions verify the sex ratio shifts, given this mating behavior and the fact that whiteflies are haplodiploid?
-===== Questions & Suggestions =====
-  - Can these mating observations alone help to explain the B biotype’s capacity to invade and displace indigenous populations? Under what circumstances do you observe B invasion in your model?
+Further well-grounded questions from the group are welcome.
-  - Can you reproduce the sex ratio shifts based on mating bahavior and the fact that whiteflies are haploids?
 ===== References =====
 Shu-Sheng Liu, P. J. De Barro, Jing Xu, Jun-Bo Luan, Lian-Sheng Zang, Yong-Ming Ruan, Fang-Hao Wan. **Asymmetric Mating Interactions Drive Widespread Invasion and Displacement in a Whitefly** Science (2007), Vol. 318, Issue 5857, pp. 1769-1772. [[https://science.sciencemag.org/content/318/5857/1769]].