Outcomes
Proportions of phylogenetically related pairings across age groups
Between 35 and 40 annum of simulation hours, the typical beliefs of lots of correct pairings (amount of frames of men/women phylogenetically connected along to women/men) in relaying circle for all the HIV constructive individuals were given from inside the dining table 1. By coming purchase of phylogenetic pairings in age brackets, we certainly have: guy aged 25a€“39 a very long time with girls elderly 15a€“24 a very long time (30 pairs), accompanied by men elderly 40a€“49 many years and women aged 15a€“24 a very long time (15 couples), people elderly 40a€“49 age and girls aged 25a€“39 a very long time (14 couples), guy outdated in 25a€“39 a very long time and females of the same age-group (six pairs), and guy outdated 15a€“24 a very long time and lady of the identical age-group (six pairs). We owned zero mean worth for couples between guy elderly 15a€“24 a long time and ladies aged 25a€“39 a long time, guy aged 15a€“24 years and women elderly 40a€“49 many years, people elderly 25a€“39 a long time and females aged 40a€“49 decades, and guy outdated 40a€“49 many years and women elderly 40a€“49 several years.
At the top left-hand side of Fig 1, for any MCAR eating solution, an average of, the proportion of females outdated 15a€“24 ages who have been phylogenetically linked with boys of the identical age-group had been lower (around 10%) set alongside the symmetry of males elderly 15a€“24 a very long time who have been phylogenetically linked with females of the same age group (100%) right at the the most effective right-hand area. In one shape, across all sample coverages, around 55per cent of younger women (15a€“24 age) are phylogenetically associated with males between 25 and 39 a very long time, and 28% of these young women (15a€“24 ages) are phylogenetically linked with males between 40 and 49 yrs . old. But, boys aged 25a€“39 age and 40a€“49 a very long time comprise phylogenetically linked to younger women (15a€“24 a long time) about 90% (the actual price got around 80%) and 70% (the true appreciate would be around 50per cent) proportions, correspondingly. Although these prices happened to be 10% and 20% in excess of the true beliefs, they’d a reliable trend from the 50percent sampling policy and previously.
On top left-hand side certainly is the amount of women in age bracket A phylogenetically linked with guy in generation B, and on best hand part is the symmetry of males in generation B linked to feamales in age bracket A. towards the bottom left and right give back, are considered the differences between the actual values regarding the dimension of pairings at 100per cent insurance coverage and these extracted from various absent definitely at random (MCAR) testing coverages for many different age-group linkages between men and women.
For females through the 25a€“39 years cluster, normally, around 67percent of these happened to be phylogenetically connected to men between 40 and 49 yrs . old, and, on the average, around 25per cent of the people are phylogenetically connected to males of the identical age-group (25a€“39 a long time). The dimension of men outdated 40a€“49 several years, and 25a€“39 several years who have been phylogenetically linked to people elderly 25a€“39 a long time are on the average around 27percent and 7percent, respectively, across all eating coverages, nonetheless true beliefs had been 47per cent and 17per cent, respectively. The trend of this dimension of pairings between people for the 25a€“39 years old team and guy aged 25a€“39 many years and 40a€“49 years got quasi-symmetric.
By contrasting the 2 rates of proportions of pairings between gents and ladies across age brackets near the top of Fig 1, due to the fact sampling insurance improved, the estimates happened to be increased into the true beliefs towards proportions of females of the age group phylogenetically associated with boys in every some other age bracket. Generally, starting up at 55percent for the sampling insurance, the dimension of females phylogenetically connected to guys happened to be already near to the real principles followed at 100%. But this was not the case for any proportions of males of every age bracket have been phylogenetically associated with women, actually at 95per cent of eating protection, the offers are definately not the real prices as discovered from the right-hand side on the top Fig 1.
In terms of the scale associated with the portion principles for ladies phylogenetically linked to people, on the average, one would be for women between 25 and 39 a very long time connected to people aged 40a€“49 ages, followed closely by ladies aged 15a€“24 a very long time connected to guy aged 25a€“39 ages, people outdated 15a€“24 age linked with boys aged 40a€“49 decades, females aged 25a€“39 several years linked to people of the identical generation, and female aged 15a€“24 decades associated with men of the identical generation.
For dimension of males phylogenetically associated with female, the best scale was actually for males outdated 15a€“24 years associated with females of the same age group, followed by people aged 25a€“39 age associated with ladies elderly 15a€“24 a very long time, men outdated 25a€“39 ages linked with ladies of the same generation, men aged 40a€“49 age connected to people outdated 25a€“39 age, and boys aged 40a€“49 a very long time linked with girls aged 15a€“24 age.
For RMSE ideals, involving the correct proportions at 100percent on the eating insurance and these in numerous sample coverages of MCAR eating system, you observed a lessening craze as we increased the eating policy as seen at the base of Fig 1. The greatest efficiency is when it comes to dimension of women linked with guys (left hand half in the bottom of Fig 1), once we compared to men linked with female (right hand part in the bottoom of Fig 1).
For sample system, wherein missing sequences comprise gone at random (impair), the trend from the amount values over the eating coverages to all of three MAR problems (with at most of the 30per cent, 50percent, and 70percent of females were inside the samples) were different from the MCAR example, that is definitely discussed by your age bracket and sex instability during the trials. The entire styles associated with the RMSE for the proportions diminished if the sample coverage enhanced in all three scenarios, 
exactly where most of us believed that at most of the 30percent, 50%, and 70per cent of females had been into the design.
The contrast from the median values of dimension of pairings in MCAR example plus blemish three circumstances by Wilcoxon experience at Fig 2, showed that the majority of the average standards associated with the dimension of pairings across various age brackets between people happened to be from different distributions.