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PLOS One logoLink to PLOS One
. 2023 Sep 8;18(9):e0291001. doi: 10.1371/journal.pone.0291001

The relationship between age and sex partner counts during the mpox outbreak in the UK, 2022

Julii Brainard 1, Louise E Smith 2,*, Henry W W Potts 3, G James Rubin 2
Editor: Soham Bandyopadhyay4
PMCID: PMC10490899  PMID: 37682827

Abstract

Background

Understanding the dynamics of an infectious disease outbreak linked to sexual activity requires valid expectations of likely counts of unique sex partners during the infectious period. Typically, age is the key demographic trait linked to expected partner count, with many transmission models removing adults from the sexually active pool abruptly at a pre-specified age threshold. Modelling the rate of decline in partner counts with age would benefit from a better description of empirical evidence.

Methods

During the 2022 mpox epidemic in the UK, we asked individuals about their partner counts in the preceding three weeks, which is about the same as usual infectious period for persons with active mpox. We used negative binomial regression (all responses) and Weibull regression (non-zero responses) to analyse the relationship between age and partner counts, adjusted for other demographic data (such as education level and occupation), sub-dividing by three types of respondent: men who have sex with men (MSM), men who have sex with women, and women who have sex with men.

Results

Most respondents had zero or one recent partner, all distributions were skewed. There was a relatively linear declining relationship between age and partner counts for heterosexual partnership groups, but a peak in partner counts and concurrency for MSMs in middle age years (age 35–54), especially for MSM who seemed to be in a highly sexually active subgroup.

Conclusion

Useful data were collected that can be used to describe sex partner counts during the British mpox epidemic and that show distinctive partner count relationships with age, dependent on partnership type.

Introduction

Human mpox is a smallpox-like zoonotic infection caused by a virus in the Orthopoxvirus genus. Outbreaks in multiple countries and continents was identified in 2022 [1], especially in high income countries, almost exclusively in men who have sex with men (MSM). Most 2022 cases were linked to sexual activity within this community. Understanding the dynamics of an infectious disease outbreak linked to sexual activity can benefit from collecting data about social contact patterns, specifically counts of unique sex partners (which for simplicity, we refer to simply as ‘partners’ throughout this report). It is known that high partner counts for just a small minority of individuals are important drivers in sustaining and spreading diseases that have intimate contact as an important transmission pathway [2]. Hence, reliable description of the distribution of unique partner counts during infectious periods is a key parameter for establishing credibility in disease transmission models dependent on intimate contact. Moreover, models that try to evaluate the merits of different infection control strategies in real-world populations may need to rely on plausible assumptions about distributions of partner counts that are known to relate to commonly measured demographic traits, especially age [3,4]. That published data about the relationship between age and partnership counts could be unrepresentative because of sampling methods was suggested previously: for instance, because of broad under-sampling of MSM [5] or because of dependence on Internet Apps that under-sampled older MSM [6].

This study is a secondary analysis of part of a dataset collected in the UK between 5 September and 6 October 2022. The primary aims of the study that collected those data [7] were to survey the general population about mpox knowledge and undertake a randomised and controlled experiment about health messaging and behavioural intentions. The survey oversampled MSM and addressed some aspects of sexual history: partner count of unique males or females in the last three weeks and three months separately. This article uses part of the survey data to describe the distribution of partner counts in three types of partnership groups: MSM, women who have sex with men (WSM), and men who have sex with women (MSW). At the time of the 2022 data collection, the most recent similar surveys and analyses were based on information collected by two National Surveys of Sexual Attitudes and Lifestyles (Natsal) and a single Natsal survey wave as part of the gonococcal resistance to antimicrobials surveillance programme [2,8]. Those three Natsal surveys were last updated in 2012 and had (combined) 1017 MSM respondents. A fourth Natsal survey (www.natsal.ac.uk/natsal-survey/natsal-4) started in 2022 and expects to complete data collection in 2023. The Natsal surveys provide rich data about specific sexual habits, including information about partner counts in lifetime or over prior 12 months [9]. In contrast, the original data that we analyse here apply to a narrower time period, one that was especially important in the context of concurrent public health need to understand and contain the British mpox epidemic.

Our research aim was to use the autumn 2022 survey data in a secondary analysis to explore the relationship between age and the count of unique partners, adjusting for available confounders. It was valuable to explore the relationship between age and partner counts because age is a key determinant of expected partner counts in many models of sexually transmitted diseases. Often in such models, there is no variation in expected partner counts after age 16 or 17. Alternatively, partner count may be expected to decline at a similar rate with increased age for all partnership types [10], or individuals beyond a prespecified age are abruptly retired or removed from the population of interest/considered to be at risk, for instance at age 39–40 years [11,12], 65 years [4,13], or 65–67 years [14]. As at 16 September 2022, the median age of confirmed and highly probable cases from the 2022 UK mpox epidemic [15] was 36 years (IQR 30 to 44). About 6% were age 16–25, about 6% were age 55+. Although most cases (70%) were age 25–44, a large minority of detected UK mpox cases (30%) were outside this central age group and there were fewer cases aged 16–24 than cases age 45+. Our research objectives were to apply statistical models to the autumn 2022 survey data to explore if and how much reported partner counts varied with age for common partnership types, and to see if a sharp decline in partner count at any specific age threshold (as often assumed in existing STI models) was apparent.

Methods

Recruitment strategy

The data were drawn from a cross-sectional survey administered to UK adults from 5 September to 6 October 2022 (inclusive) via a market research company (Savanta) and social media platforms. The survey asked about intended behaviour in a factorial design experiment following exposure to information or motivational messages. Detail on the survey development, recruitment and experiment results are reported elsewhere [7]. Ethical approval for this study was given by the King’s College London Psychiatry, Nursing and Midwifery Research Ethics Panel (reference number: LRS/DP-21/22-32287). Participants gave informed digital written consent before beginning survey materials.

Savanta has registered panels of approximately 150,000 prospective survey respondents. Savanta recruitment was in two cohorts: UK general population and a boosted extra sample of UK MSM (Savanta panel members who self-identified as male and as gay, bisexual, or having sex with men; termed Savanta B for UKMSM “boost”). The Savanta general population survey employed quota sampling based on specific socio-demographic characteristics (age, gender, socio-economic grade and region) that matched the national profile. The Savanta boost recruitment applied the same quotas except for gender (because all respondents had to be male).

Recruitment to the same survey was also via adverts on the online social networks Grindr, Facebook and Instagram. In practice, social media respondents were samples of convenience. Facebook and Instagram adverts were targeted at users based on their known engagement profile and apparent interests that made it likely they were MSM, as identified by proprietary profiling algorithms used on these platforms. These algorithms are likely to be similar on both platforms, because Facebook and Instagram are owned by the same parent-company. As a result, data from respondents recruited via Facebook and Instagram were pooled and are designated in this report by their parent company name, Meta. Grindr is a dating application for members of the MSM community and, at the time of survey, was well-established as a successful network for finding casual gay sex.

Partner count questions and subgroup definitions

Sexual contact was defined as any genital contact. All respondents were asked 4 questions about their counts of recent persons with whom they had sexual contact. Counts were in the last 3 weeks and in last 90 days, and asked separately for male and female partners. Participants typed in the number of partners of each gender with an allowed answer range of 0 to 100 (partners in last 3 weeks) or 0 to 400 (partners in last 90 days).

Women who have sex with women and other partnership types were not investigated because of relatively much smaller (<< 1000) respondent counts. MSM, WSM and MSW populations (partnership groups) as analysed here were defined by reported sexual activity with the stated partner type or reported identity, regardless of any dominant preference. Therefore, candidate MSM (likely MSM population for analysis) were persons with male gender identity who reported on how many male partners they had in the last three weeks (zero or greater) and either had sexual contact with males in the last 3 months or indicated on a separate question that their sexual preference was gay, queer or bisexual. Similarly, MSW were defined as persons with male gender identity who self-identified either as heterosexual or bisexual and gave data (zero or greater) on recent female partner count or who had had sexual contact with any females in the prior 3 months. The definitions for MSM and MSW were not mutually exclusively. A male participant could be both MSM and MSW. WSM were defined as persons with female gender identity who gave a count (zero or greater) of male partners in the last three weeks, and who either self-identified as heterosexual or bisexual or had sexual contact with any males in the prior 3 months.

We did not distinguish between persons based on whether they had the same gender as that assigned to them at birth; it is possible that mpox transmission risks vary with biological sex and possibly specific sex acts, but at the time of our study no data existed to confirm that. Moreover, it seems likely that transmission risks at this time were dominated by lifestyle factors (such as partner finding habits) that were more closely associated with concurrent gender and sexual preference identity than with biology.

These definitions of candidate MSM, WSM and MSW could under-count the true eligible population who belong in each partnership group who answered the survey, as well as omissions due to some respondents who declined to provide partner count. We do not know if missing data was more likely for persons with very low or very high partner counts. Also, we could not count persons who have low frequency of sexual contact (less than every 90 days) with a suggested partner type (M or W) that was outside their dominant preference. This could mean that we under-estimated the proportion of zero partner count persons in each distribution. Whether respondents were sexually active at all is also a consideration. The survey did not ask if people were sexually inactive (by choice or not, either temporarily or chronically); it was therefore possible that we over-counted the individuals of interest in each partnership population by including sexually inactive individuals in each partnership group who still expressed a sexual orientation preference. We addressed this potential problem by excluding respondents with zero counts for a partner type in preceding three weeks in a Weibull regression (see analysis section below).

Data quality and cleaning

A survey attention check and cognition check question were used to help detect and filter out automated (fake) or low attention respondents. Among respondents who gave the correct answer to the attention check question, manual inspection of free-text responses to four questions did not suggest that any of these were nonsensical, illogical in the UK context or formulaic sounding which could happen because they were generated in bad faith or by artificial intelligence algorithms.

Respondents were given choices of male, female, non-binary or other to describe their gender. For “other”, some respondents described their gender as male or female; these were recoded as male/female where indicated by their open-text description (n = 24). Similarly, for sexual preference, some respondents (n = 30) chose “other” and then described themselves as gay, heterosexual or used other descriptors that enabled them to be categorised as candidate MSM, MSW or WSM. Non-binary gender identity persons were not pooled with females or males or otherwise analysed separately here due to their small representation.

Some answer combinations were logically impossible making those responses unreliable. Eight respondents were excluded who had male gender identity that was the same as their gender assigned at birth and who also said they were pregnant. Participants who reported that they had more partners in the last 3 weeks than they had in the previous 90 days were excluded. This affected 39 respondents about their male partners and 18 respondents about their female partners. One person had partner count answers reassigned as missing because they said they had 100 partners of each sex in the last 3 weeks and 400 partners of each sex in the last 90 days; these were the maximum values possible for all questions and seemed more likely to be data entry error or bad faith responses than accurate information.

Analysis

Analysis was done in Stata/MP v. 17.0. Significance threshold was p < 0.05. Descriptive statistics are reported for MSM, MSW and WSM stratified by sample origin (Savanta / general population) versus social media: Grindr and Meta. Models were constructed to predict partner count by the three main partnership types: MSM, MSW, WSM. The dependent variable was partner count in the preceding three weeks. Partner count appeared to have a non-linear (curving) but declining relationship with age in exploratory data analysis. Age (whole years) therefore had trial expressions in the models as linear or quadratic, as well as transformed to equal reciprocal × population mean (to allow for possible bias in age of those sampled, Stata code is in supporting information). Partner counts were highly skewed for MSM, and somewhat skewed for MSW and WSM (S1 Fig in S1 Appendix; S2-S9 Tables in S1 Appendix): most respondents had 0 or 1 partners in the past three weeks, while a relatively small number of respondents had high numbers of partner counts (5 or more). To handle the skew, we apply two plausible distributions: negative binomial (including zero-partner count individuals) and Weibull (non-zero data only). The negative binomial distribution has been used for previous predictions of MSM partner or sex-act counts [4,11,14,16]. Removing zero-partner count responses (in last 3 weeks) from the dataset may be justified to explicitly separate individuals who are not sexually active. The Weibull distribution does not predict zero partner counts and was recently recommended especially in the context of understanding rapid spread during the 2022 mpox epidemic because of a ‘heavy tail’: small numbers of individuals with very high partner counts [2]. These model choices (negative binomial and Weibull) were not intended to comprise a definitive exploration, but rather, their contrast was useful as a sensitivity analysis to indicate if there was consistency in the age-partner count relationship in spite of different modelling approaches.

All models to predict relevant partner count were also adjusted by these other demographic correlates:

  • education (with or without a university degree)

  • occupation (UK standard occupational classifications [17])

  • index of deprivation quintile in resident area [18]

  • reported difficulty in paying bills: 4 categories from not at all to extremely difficult [19]

  • region of UK (12 areas possible)

  • ethnicity, 3 categories: white British; white other; or other (any non-white)

  • if they had a regular individual partner with whom a sexual relationship might be presumed (e.g., if married or in a civil partnership, vs. no regular partner)

  • dependent child in household (with or without).

The model with best expression of the Age variable was chosen on the basis of minimising the Bayesian information criterion because it penalises model complexity and thus tends to prioritise specificity over sensitivity [20]. We reiterate that we were less interested in finding a definitive model form than in exploring the relationship between age and partner count, stratified by partnership type. Therefore, our testing of different statistical models (negative binomial or Weibull) had the purpose of seeing if the results were consistent (for age and partner count) rather than deciding which model or distribution was optimal. Also, for reasons of brevity and focus, this article addresses only results for partner count relationship with age (not with any other candidate correlates).

Exploratory data analysis suggested that median partner count strongly varied with recruitment samples (general population, Savanta UKMSM boost, Grindr, or Meta) as shown in stratified frequency counts (S2-S4 Tables in S1 Appendix). Therefore, we also adjusted by recruitment sample in the final models. From the models, we generated and display graphically the predicted number of partners and probability of partner counts = 0, 1, ≥ 2 (MSW and WSM), and partner counts = 0, 1, ≥ 5 (MSM). For reasons of brevity, we do not present data separately on partner counts = 2–4 for MSM.

How a limited selection of demographic traits related to partner counts, by partnership type, is described in univariate analysis for interested readers in S10 Table in S1 Appendix. The full survey dataset is available for persons interested in focusing on other relationships with demographic traits (not just age), different sub-samples or research questions.

Results

Table 1 shows selected demographic traits of respondents, divided by recruitment sample. Note that recruitment sample totals (final row) are the maximum number of possible respondents, not actual totals that gave data for each question. Grindr respondents were younger on average than all others. Living in a high deprivation area did not vary markedly between recruitment samples (22%-34%). The Grindr and Meta respondents were much more likely to have a university degree, while there were more skilled, semi-skilled, unskilled workers, retired or keeping house persons in the general population recruitment sample. The social media samples were much less likely to have a dependent child or find it very/extremely difficult to pay bills, while being much more likely to be London residents. A small majority (52%) of all respondents had a regular partner, although this was lowest in the Grindr sample (32%) and highest in the general population recruitment sample (58%). Identifying as a non-white ethnicity did not vary greatly by recruitment sample (6.1–9.7%).

Table 1. Demographics of survey respondents by recruitment sample group.

Trait \ Sample Savanta GP
n = 3050
Savanta B
n = 247
Meta
n = 1036
Grindr
n = 831
Total
n = 5164
Male 42% 100% 100% 100% 66%
Age, median: IQR
Full range
49: 34–65
18–98
48: 33–61
18–77
48: 39–56
18–79
44: 35–53
18–82
48: 35–60
18–98
Most deprived quintile 34% 34% 22% 28% 31%
University degree 32% 36% 76% 64% 46%
Has dependent child 32% 15% 2% 4% 21%
Has regular partner 58% 43% 53% 32% 52%
Very or extremely difficult to pay bills
27%

25%

6.6%

12.9%

20.5%
Identify as non-white 9.0% 6.1% 6.1% 9.7% 8.4%
Region
East Midlands 7.6% 6.5% 3.5% 3.8% 6.1%
East of England 10.1% 8.9% 5.5% 6.0% 8.5%
London 10.1% 18.6% 36.6% 23.5% 18.0%
North East 4.4% 4.0% 2.0% 2.0% 3.5%
North West 12.0% 13.0% 8.3% 7.9% 10.6%
Northern Ireland 1.6% 0.8% 0.7% 1.8% 1.4%
Scotland 8.0% 8.1% 4.7% 6.7% 7.1%
South East 13.9% 12.6% 14.6% 12.5% 13.8%
South West 8.5% 6.9% 6.8% 6.4% 7.7%
Wales 5.3% 4.9% 2.7% 2.9% 4.4%
West Midlands 9.5% 9.3% 4.7% 4.9% 7.8%
Yorkshire & Humber 9.0% 6.5% 4.6% 4.3% 7.3%
Missing 0.0% 0.0% 5.2% 17.1% 3.8%
Occupational group
HMAP 6.3% 11% 24% 17% 12%
Int 20% 23% 37% 37% 26%
Sup 21% 21% 19% 21% 20%
Other 24% 14% 5% 11% 17%
Unemp 5.8% 9.8% 2.5% 3.3% 4.9%
Student 1.7% 2.0% 3.1% 3.6% 2.3%
Retired/KH 22% 18% 10% 7% 17%

Notes: Age in years. Occupation groups: HMAP: Higher managerial or administrative professional, Int: Intermediate managerial or administrative professional; Sup: Supervisor, administrative or uniformed professional; Other: Skilled, semi-skilled manual or unskilled workers; Unemp: Unemployed; Student: University or college; Retired/KH: Retired or keeping house. (Savanta) GP: General population; B: Boost sampling of UKMSM.

We identified 2132 MSM, 1201 MSW and 1308 WSM. There was overlap in MSW and MSM, n = 340, 28% of MSW were also MSM. This proportion (28%) is higher than the estimates of how many MSM are also MSW as reported in other recent surveys (13–19%; [2124]). Some of those sources relied on only behaviour or only sexual orientation rather than orientation and reported behaviour, or asked about different time periods (not last 3 months), making it hard to know if our results or their statistics are more indicative of the true overlap in general population.

The proportions of respondents in specific age groups with zero, one, or 2+ partners in preceding three weeks are shown in Fig 1A–1C. MSM are divided in these figures by sample origin, Savanta only (presupposed to be more representative of general population MSM) and other sample (from social media advertising, presumed to be highly sexually active). Denominators are only for respondents who gave an answer (missing data respondents omitted). One similarity between groups is that the proportion with zero partners increased with age, but much faster/higher for WSM than the male groups. WSM have a near linear increase of the percentage with zero partners (Fig 1A), corresponding to a near linear decline in percentage with exactly one partner (Fig 1B) from about age 40 onwards. In contrast, the proportion of MSW and MSM with exactly one partner was fairly consistent at all ages, about 50% for MSW and Savanta sample MSM, but was lower (19–33%) for the social media samples (Fig 1B). Partner concurrency (≥ 2 partners in last 3 weeks) was low for MSW and WSM, maximum 14% at age 18–24 (MSW). Concurrency for MSW and WSM declined with age and was especially low (0–2%) after age 60. Partner concurrency varied by which sample the MSM were in. Just 15% (25/161) Savanta sample MSM had 2 or more recent partners, peaking at 34% partner concurrency for age 18–24. In contrast, partner concurrency for social-media sampled MSM was steadily 45–51% for those aged 18–64, after which reported concurrency percentages declined to 31%.

Fig 1. Percentage of respondents with 0, 1 or 2+ partners, by partnership type.

Fig 1

Table 2 shows the mean partner count for respondents by partnership type, with distinctions by recruitment origin for MSM. Average partner counts were highest for under 30s among MSW and WSM, followed by apparent linear decline with age. In contrast, average partner counts were highest for persons aged 35–54 among MSM (aged 35–64 for MSM recruited via Grindr). Among MSM recruited via social media, persons aged 65–69 had higher average partner counts than persons aged 18–24 years.

Table 2. Average partner count by partnership type, sub samples by recruitment origin for MSM.

Age group (years) n = 369
MSM Savanta
n = 980
MSM Meta
n = 783
MSM Grindr
n = 1201 MSW n = 1285 WSM
18–24 1.61 1.61 2.74 1.23 0.86
25–29 1.21 2.42 2.58 1.19 1.01
30–34 1.24 1.93 2.57 0.90 0.78
35–39 1.80 3.13 2.31 0.87 0.65
40–44 0.74 3.02 3.19 0.75 0.65
45–49 1.07 2.94 2.84 0.77 0.72
50–54 1.23 2.51 3.36 0.61 0.53
55–59 0.61 2.34 2.57 0.54 0.48
60–64 1.00 2.06 3.42 0.49 0.33
65–69 0.83 1.83 3.37 0.50 0.44
70–74 0.69 1.32 1.80 0.50 0.23
75+ 0.82 1.43 1.67 0.52 0.25

Note: Highest values in bold green font.

Tables 35 show the Bayesian Information Criterion (BIC) scores for the respective partnership types and partner count, with different expressions of age as predictor in both univariate and models adjusted for recruitment sample, occupation group, region, ethnic group, deprivation quintile, ability to pay bills, education level, if they had a dependent child, and existence of regular partner or not. Weibull models have the lowest BIC consistently. For all MSM, only the quadratic expression of age had a significant relationship with partner count (Table 3) in all model forms. The strong quadratic relationship indicates higher partner counts for MSM in the mid-life period, as evidenced in Table 2.

Table 3. Bayesian Information Criterion (BIC) values for adjusted models and stated expressions of age variable in partner count prediction models: MSM.

Model form Count of respondents p-value for age expression Age expression BIC
Univariate models
Negative binomial 2132 0.223 Linear 8752
Negative binomial 2132 < 0.001 Quadratic (age × age) 8732
Negative binomial 2132 0.543 Reciprocal × population mean 8753
Weibull 1518 0.496 Linear 4349
Weibull 1518 < 0.001 Quadratic (age × age) 4341
Weibull 1518 0.060 Reciprocal × population mean 4346
Adjusted models
Negative binomial 1928 0.832 Linear 8102
Negative binomial 1928 < 0.001 Quadratic (age × age) 8096
Negative binomial 1928 0.151 Reciprocal × population mean 8100
Weibull 1379 0.192 Linear 4105
Weibull 1379 < 0.001 Quadratic (age × age) 4096
Weibull 1379 0.014 Reciprocal × population mean 4100

Notes for Tables 3–5: Adjusted models were all adjusted by the same demographic variables, as reported in main manuscript. Models are for all age respondents in this partnership type. Count of respondents is dependent on complete information for all correlates and whether zero-partner count observations were excluded. The lowest BIC is highlighted in bold green font.

Table 5. Bayesian Information Criterion (BIC) values for adjusted models and stated expressions of age variable in partner count prediction models: WSM.

Model form Count of respondents p-value for age expression Age expression BIC
Univariate models
Negative binomial 1308 < 0.001 Linear 2519
Negative binomial 1308 < 0.001 Quadratic (age × age) 2521
Negative binomial 1308 < 0.001 Reciprocal × population mean 2544
Weibull 691 0.316 Linear 1238
Weibull 691 < 0.001 Quadratic (age × age) 1222
Weibull 691 0.020 Reciprocal × population mean 1233
Adjusted models
Negative binomial 1306 < 0.001 Linear 2563
Negative binomial 1306 < 0.001 Quadratic (age × age) 2569
Negative binomial 1306 < 0.001 Reciprocal × population mean 2567
Weibull 691 0.562 Linear 921
Weibull 691 0.007 Quadratic (age × age) 919
Weibull 691 0.431 Reciprocal × population mean 920

Notes: See notes for Table 3.

Table 4. Bayesian Information Criterion (BIC) values for adjusted models and stated expressions of age variable in partner count prediction models: MSW.

Model form Count of respondents p-value for age expression Age expression BIC
Univariate models
Negative binomial 1201 < 0.001 Linear 2696
Negative binomial 1201 0.005 Quadratic (age × age) 2701
Negative binomial 1201 < 0.001 Reciprocal × population mean 2700
Weibull 660 < 0.001 Linear 1315
Weibull 660 < 0.001 Quadratic (age × age) 1304
Weibull 660 < 0.001 Reciprocal × population mean 1301
Adjusted models
Negative binomial 1161 < 0.001 Linear 2712
Negative binomial 1161 < 0.001 Quadratic (age × age) 2710
Negative binomial 1161 < 0.001 Reciprocal × population mean 2704
Weibull 642 < 0.001 Linear -687
Weibull 642 0.081 Quadratic (age × age) -686
Weibull 642 < 0.001 Reciprocal × population mean -688

Notes: See notes for Table 3.

Quadratic age also had a somewhat more consistent relationship (than linear or population mean adjusted) with partner count for WSM. For MSW, all trialled expressions of age had significant relationship with expected partner counts, with reciprocal × population mean adjusted having the lowest BIC for each model form tested. This result may reflect over-sampling of older age men in the recruitment strategy. The Weibull model outperformed the negative binomial, indicating a ‘heavy tail’ in partner counts for all partnership types.

Discussion

With increased age, a constant decline in partner count was evident in heterosexual partnership types, but a quadratic (peaking in middle age) relationship describes MSM partner count patterns better. These survey data also suggest that MSM were much more likely to have higher concurrency at all ages, and to be sexually active at age 65+ than WSM or MSW. Peak likelihood of concurrency tended to be about age 35–54 for MSM when taking into account sampling strategies and different models. In addition to improving disease model accuracy, considering more realistic partner count variations arising from age distributions in real populations could be useful when trying to design awareness and intervention strategies.

The survey data we used provide a snapshot of sexual behaviour in the UK in September-October 2022. We encourage others to access the dataset and use it to explore other research questions, but with awareness of many caveats. Among MSM at least, it is possible that partner counts were lower than usual. The survey was administered when risks of catching mpox had been well-publicised in UK and public health campaigns targeting MSM were encouraging them to reduce some forms of sexual activity. 60% of MSM, 30% of MSW and 22% of WSM answering our survey said they had heard “a lot” about mpox [7]. 49% of American MSM answering an Internet survey in August 2022 [25] said they were limiting their partner count to reduce their chances of catching mpox; it seems likely similar partner reduction was true of many of the MSM in our UK survey. Evidence about the dynamics of the mpox epidemic in 2022 in different countries is still emerging, but early opinion was that behaviour change may have been an important reason for decline of the outbreak [26], and probably more important than delivery of the smallpox vaccine (which can prevent disease development and transmission). It is likely that the vaccine did not strongly reduce the epidemic because relatively few vaccine doses were delivered before new mpox diagnoses started to decline in Britain [27]. Behaviour change also would explain observed reduction during the mpox outbreak in new diagnoses of other sexually transmitted infections (STI) in the MSM population [15]. How much activity needs to be reduced to lower numbers of new cases is still to be explored; it may be that only relatively small reductions in partner count, concurrency or sex acts were enough to bring the epidemic under control. Although median partner counts for MSM were higher than for MSW and WSM, many MSM were not recently sexually active: a substantial minority of MSM respondents (26%) reported no partners in the preceding 3 weeks.

The age distributions of our respondents varied by recruitment sample and by partnership group (MSM, MSW or WSM). As described previously, the Savanta sampling strategy was balanced for deprivation, age groups and geographic regions. Hence, the Savanta sampling recruited relatively more persons aged 18 to 24 or 65+ than responded via the social media adverts. The reported partner counts for respondents aged 65+ was significantly lower than for persons aged < 65 years, but the partner counts did not reduce to zero at age 65+. Often in MSM disease transmission modelling, age is treated as a key determinant of sex act frequency. The focus in STI models has been on adults below about age 45 years, so much so that individuals near age 65+ may be retired out of the presumed sexually active population in models of MSM behaviour [3,4,28,29]. Our data and analysis support more sophisticated modelling of partner activity for persons age 65+. We report our complete information across the spectrum of ages surveyed, broken down by MSM, MSW and WSM subgroups, to help modellers make informed decisions based on empirical data about number of partners and total sexual activity related to their age, adjusting for other demographic traits. It is a useful finding that the data indicate a very different relationship between age and partner count for MSM compared to MSW or WSM. It was also useful to note that the median partner count across all groups was one, with a large number of respondents reporting no recent partners.

Limitations

How representative any survey data are for each of MSM, MSW and WSM communities in the general population needs to be considered with regard to the specific demographic distributions obtained and potential sampling biases. Our data were reliant on self-report. This may have led to inflated responses in a very small number of participants (due to mischievousness or error). However, it seems more likely to have led to under reporting, although the anonymity of an online survey should have mitigated this to some extent. Rounding was evident in the partner count responses (a tendency to answer 10, 15, 20, 30 or 40 etc. instead of stating numbers in between). Data cleaning suggested some responses were mistakes; other data entry mistakes probably existed and were not detected. The sample of WSM only found 20 individuals with > 1 partner, which weakens confidence in the suggested correlations in the WSM models. We did not consider many possible interesting sub-groups such as men who only have sex with women, men who have sex with both men and women, and so on. With awareness of caveats we have listed, the survey data that we put in public domain enables others to explore those subgroups at length for other research questions. Probably because of our sampling strategy, most of the MSM in our study who were also MSW had many more male partners or no female partners at all, which means that an analysis of a total partner count for MSW&M using our data would need to be undertaken very carefully. There were demographic differences between the partnership groups that cannot be obviously explained by partnership group membership and that suggest potentially important differences between recruitment samples: for instance, significantly more MSW than MSM were retired (23.5% vs. 9.8%), which is a statistically significant difference: χ2(1) = 81.7, p < 0.001. We do not have data to confirm how representative of the full UK MSM, MSW or WSM population the recruitment samples were with respect to the model outcomes (reported partner counts). We have not tested in transmission models or in an exemplar population if varying expected partner count by age makes significant differences to key outcomes such as total persons made ill or relative effectiveness of possible disease prevention strategies.

A strength of our analysis is that it used an especially large sample, with over 1000 MSW and WSM respondents and over 2000 MSM. For comparison, a recent mpox transmission model was generated using data about partner counts from just a few hundred UK MSM respondents [2]. Our data can be divided into useful sub-samples, some of which (such as the Savanta groups) were purposefully balanced with respect to deprivation, geography and age distribution. The Grindr recruitment sample indicates behaviour patterns by a likely high-risk group at a key moment in the UK mpox outbreak. The data empirically confirm that, contrary to some modelling assumptions, many persons age 65+, especially MSM, have not retired from sex.

Supporting information

S1 Appendix. Distribution of partner counts.

(DOCX)

Acknowledgments

Elizabeth Fearon at the UCL Institute for Global Health suggested collection of data about partner counts, how to phrase the questions and time boundaries to use. Thanks to the Terrence Higgins Trust for support with participant recruitment, and Savanta for hosting the survey. We are grateful to study participants for their honesty and time, and to the Internet for having so many examples of how to do useful things in Stata.

Data Availability

All relevant data are located at https://osf.io/ad7yj/.

Funding Statement

The study was funded by the National Institute for Health and Care Research (NIHR). This work was funded by the National Institute for Health and Care Research Health Protection Research Unit (NIHR HPRU) in Emergency Preparedness and Response, a partnership between the UK Health Security Agency (UKHSA), King’s College London (KCL) and the University of East Anglia (UEA). The views expressed are those of the authors and not necessarily those of the NIHR, UKHSA, Department of Health and Social Care, UEA, KCL, or University College London (UCL). For the purpose of open access, the author has applied a Creative Commons Attribution (CC BY) licence to any Author Accepted Manuscript version arising. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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Decision Letter 0

Soham Bandyopadhyay

11 Jul 2023

PONE-D-23-04595The relationship between age and sex partner counts during the mpox outbreak in the UK, 2022PLOS ONE

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5. Review Comments to the Author

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Reviewer #1: Overall the study is well written and data are presented in a good way. Bellow are some points that the author should follow and correct the manuscript accordingly.

1. The introduction needs to have more literature on this subject.

2. In the introduction, the authors should clearly address the aim and objectives of the study.

3. From lines 45-68 of the introduction, the authors are addressing the methodological part of their work and also list some results. These contents are inappropriately placed in the introduction part and should be removed.

4. In line 45, the authors are explaining the survey they have conducted and are citing an article, what is that reference?

5. How the authors can link their study outcomes to the mpox epidemic?

6. In conclusion, how these results could be used for awareness to control or slow the epidemic?

Reviewer #2: In this manuscript, Dr. Smith and colleagues explored the relationship between age and the number of sexual partners for MSM, MSW and WSM, constructing a larger and more recent database than existing studies. They found all the sexual partnership distributions are skewed but they exhibited different patterns in the relationship between partner counts and age: a linear declining relationship for WSM and a quadratic relationship for MSW and MSM. Overall, the study is well described and I think this study has a potential to be interesting and valuable. However, at present there are several critical issues and minor points that need to be addressed.

[Major comments]

1. The authors undertook a survey in 5 September-6 October, highlighting their survey is more recent than other survey in the UK (e.g., Natsal-3) in the introduction section. However, Natsal-4 (https://www.natsal.ac.uk/natsal-survey/natsal-4) was conducted in September 2022 and is supposed to be more recent than this study. While I understand that it was not possible to include it in this study because this new dataset has not been made public, I encourage the authors not to focus too much on the recency of their data when claiming the merit of the study. (Because, if that is the primary merit of the study, it means that the merit would be lost when Natsal-4 is published; which I believe is not the intention of the authors) If possible, it would also be helpful to briefly mention/discuss Natsal-4 as this will give the readers useful reference and context.

2. Because it is an explanatory data analysis (as stated by the authors), I would recommend that the model selection should be based on BIC, not AIC. AIC is constructed by approximating generalization loss (or predictive performance; i.e. the divergence between the true distribution and predictive distribution) while BIC is based on model evidence, which indicates that BIC is more useful in selecting a correct model while the AIC is more appropriate in finding the best model for predicting future observations (https://doi.org/10.1016/B978-0-444-51862-0.50018-6).

3. I found that the authors’ definitions of MSM/MSW/WSM do not exclude sexually inactive people, who are now also counted as those having zero partner. This means “zero-partner individuals” comprise (i) sexually active persons but with no sexual contact over the study period, and (ii) sexually inactive persons, which may be problematic in the estimation. If the authors can distinguish those two based on the original data, they should simply exclude (ii), sexually inactive persons, from their analyses. If this is not possible, I think there are some options to address this issue. One is to left-truncate the distributions at partner count=1 to ignore zero counts. Alternatively, they can also use zero-inflated distribution, which enable the authors to allow for the sexually inactive persons statistically.

4. For the sentence at P5L128-130 “Among respondents who gave the correct answer to the attention check question, manual inspection of free-text responses to four questions did not suggest that any of these were generated by artificial intelligence algorithms.”, please elaborate on this. How did the authors distinguish human and AI? What kind of AI did they consider?

5. The authors utilized a negative-binomial distribution across all the groups (MSM/MSW/WSM) but using the same ad-hoc distribution for all cases might not be fully justified as each group may have a unique sexual partnership pattern. Besides, sexual distributions have been reported to typically have heavy-tailed or power-law tailed property in the large body of literatures (e.g., Schneeberger et al. https://doi.org/10.1097/00007435-200406000-00012, Endo et al. https://doi.org/10.1126/science.add4507, Ito et al. https://doi.org/10.1371/journal.pone.0221520). These studies suggest that a negative binomial may not fully capture the (extreme) level of heterogeneity in sexual partners. I’d like the authors to reanalyse all the groups, using heavy-tailed distributions such as Pareto or Weibull distributions, visually inspect the fit, and/or select a best-fit model for each group by BIC.

6. What type of distributions did the author employ in the regression models with which they tried such as hurdle regression, zero-inflated models, etc (described around P6L186)? Did the authors only use a negative binomial distribution to the other models? On that note, I do not generally agree with the “data not shown” practice the authors use here, because the statements cannot be interpreted without them along with full description of the methods. Please include in the Supplementary file.

7. Regarding the sentence, “The statistical model form reported here (negative binomial) was preferred because the outputs could be easily reported and replicated, supporting development of realistic mpox and sexually transmitted infection models.” at P7L188-191, I think this does not support their model choice at all since there is no statistical justification matched with data. I’m also not sure about what the authors imply by “because the outputs could be easily reported and replicated, supporting development of realistic mpox and sexually transmitted infection models”. As mentioned above, my understanding is that sexual partner data have been rarely characterized by negative binomial distributions.

8. Although the authors repeatedly highlighted their findings are useful in modelling sexually-associated transmissions, there is no description as to how it would be useful. I would be interested in how the authors’ findings could be plugged into disease models. I am not sure if data-driven network modelling for STIs allowing for age-dependent heterogeneity in sexual contact networks is possible as the authors suggest when there is little empirical data on age assortativity in sexual partner formation.

9. Related to #6; Although the authors said they decided not to present other model approaches (P6L186), I encourage them to show the comparison of all of the fitting including model selection to justify their choice of the final model.

10. It would be very informative to show log-log plots for the sexual partnership distributions. This would make readers easily understand how each distribution is skewed.

11. According to P8L211-212, 28% of MSW are also MSM in the data, which is fairly high compared to the actual proportion of the overlap. This is not surprising because MSM were oversampled due to the nature of the surveys except for Savanta GP, but for this reason I am not sure how we should interpret this 28% figure. I suggest the authors consider alternative ways to characterize the overlap between MSW and MSM.

12. The authors calculated median of partner counts in each cohort but, as I pointed out in the comment #3, the authors may wish to address the issue of people with zero partner counts when analyzing them (because the median would be sensitive to handling of these people). Probably excluding people with zero partner count would be enough for the purpose of quick comparison.

13. In the discussion section (P9L247-P10L265), the authors discussed that the drastic decline in mpox cases would be primarily attributed to behavioural changes citing some papers. However, there is another key factor that would play significant roles in shaping mpox epidemic sizes: that is, depletion of susceptibles effect over heavy-tailed sexual contact networks (Murayama et al. https://doi.org/10.1093/infdis/jiad254; Xiridou et al. https://doi.org/10.1101/2023.01.31.23285294). These studies suggest that accumulation of infection-derived immunity in heavy-tailed sexual networks can dramatically lower the herd immunity threshold and final sizes, and the observed decline in cases may not be primarily attributable to behavioural changes or interventions. I’d like more in-depth discussion in the manuscript that touches on the depletion of susceptibles effect. As a side note, ref 15 also discussed this effect as “the biggest factor”. So, it’d be inappropriate to say “early opinion was that decline in the outbreak was more due to behaviour change (15)”, citing ref 15.

14. I do not think discussing the impact of behavioural changes citing ref 14 without noting its limitations is a good idea. Ref 14 did not well inform the impact of behavioural changes on the transmission dynamics as they did not use quantitative measures, alongside that it is unclear from the study whether the results are representative of people who have many partners and are thus playing roles in mpox transmission.

15. Please discuss the strength of the study more convincingly than the authors currently state at P11L304-306. It is indeed a good point that the existing mpox modeling study (ref 2) relied on relatively limited MSM samples, but the authors did not clarify what changes their new data could bring to such studies. For example, the authors’ data indeed has 4x sample size than the data used in ref 2, but is it enough to significantly improve the results of that study (yes confidence intervals may be slightly narrower but is it just that?)? I would be convinced if the authors’ data can provide detailed information at the tail part of the sexual partner distributions that had not been available with small sample data. Other aspects of the authors’ data, including sub-samples and the presence of active 65+ individuals, would also be potentially useful in modeling but the authors did not discuss how. Meanwhile, it should also be noted that bias in sampling may undermine the strength of a large sample size. Savanta may be representative as they used quota sampling method, but other cohorts, in particular Grindr, are not. Then the sample size in Savanta becomes 369 (=161+208) and it is almost the same order (a few hundreds the authors said to ref 2 at P11L306). Rather than putting too much emphasis on the sample size, I think it’d be better to put more focus on their detailed information about each data (represented in Table S1-S9), which would be beneficial for those who attempt to construct an age-specific network model.

[Minor comments]

1. The authors often described MSM/MSW/WSM as MSMs/MSWs/WSMs, but “s” should be deleted.

2. I recommend the authors make the overall writing more formal, objective, and quantitative throughout. There are a number of instances where the text is rather casual, empty, or vague . I present some examples below:

“We wanted to-” at P2L56,

“Grindr respondents were somewhat younger-“ at P7L195,

“it is quite possible-” at P9L248,

etc.

3. Typo: “low frequency sexual contact” at P4L122 -> “low frequency of sexual contact”

4. Ref 14 is a summary article based on the original research paper. Please cite this original paper instead (http://dx.doi.org/10.15585/mmwr.mm7135e1).

5. In light of the reproducibility of this study and also for the study to make an impact on future research, I hugely encourage the authors to share the data and stata code they made on a platform such as GitHub repository. It is stated that the data will be shared along with another paper but this only makes sense if that paper is published before this paper is published (and I am not fully sure of the point of safeguarding the data when the preprint is already public…?)

6. Please do not use abbreviations in Figures (e.g. ptnrs to partners).

**********

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Reviewer #1: Yes: Jivan Qasim Ahmed

Reviewer #2: No

**********

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PLoS One. 2023 Sep 8;18(9):e0291001. doi: 10.1371/journal.pone.0291001.r002

Author response to Decision Letter 0


10 Aug 2023

Editor comments

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A statement was added to Methods section that stated that consent was digital and written, and names the approval body. The survey was administered only to adults so minors not involved.

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We added this statement to our cover letter

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We added this phrase to our cover letter

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With regard to data availability, we now make this statement:

See file = partner count.dta at https://osf.io/p5f6y/.

Please include your updated Competing Interests statement in your cover letter; we will change the online submission form on your behalf.

We added the necessary phrase to our cover letter

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The introduction now makes clearer that this is a secondary analysis of data collected in a different study (cited); the data collection was originally part of a health messaging experiment (RCT) and cross sectional knowledge survey.

The original study is available in preprint & is undergoing peer-review (we will cite the peer-review version if available in time).

The reason that this submission is not dual publication is that although the same data are available in the primary study, that study does not undertake a remotely similar analysis of partner counts by partnership type.

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The minimal underlying dataset is now on a public repository, indicated with short URL name in manuscript

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The data are available in a declared public repository

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We have no information that indicates any of our cited articles were retracted, therefore no changes were made

Reviewers' comments:

Reviewer #1: Overall the study is well written and data are presented in a good way.

Thank you for this positive comment.

1. The introduction needs to have more literature on this subject.

We added 7 new citations to the Introduction.

2. In the introduction, the authors should clearly address the aim and objectives of the study.

Explicit aim and objectives statements are now in the introduction. This change helps to address many points, including point 3 (next)

3. From lines 45-68 of the introduction, the authors are addressing the methodological part of their work and also list some results. These contents are inappropriately placed in the introduction part and should be removed.

We understand why reviewer said this, and rewrote narrative, especially Introduction, to explicitly explain that our study is a secondary analysis of data collected for another study.

Part of this narrative is about typical assumptions in previous models, and also about the published ages of mpox cases in UK (not our data but rather contextual information to help justify the study). So the information is not about our own data nor states our own results; rather, the information sets context for why exploring relationship (better modelling of) between age and partner count for each partnership type could be good thing

4. In line 45, the authors are explaining the survey they have conducted and are citing an article, what is that reference?

Apologies, this reference (to original study that collected data used in this secondary analysis) was missing/misformed, is now correctly cited.

5. How the authors can link their study outcomes to the mpox epidemic?

The Introduction lists some age statistics about the 2022 mpox cases in the UK, which data support our hypothesis that age may have a complicated relationship with partner counts.

We note in the Limitations that we haven’t applied the study results in our own models (we would like to do that in a follow up study).

6. In conclusion, how these results could be used for awareness to control or slow the epidemic?

We added several sentences that may be relevant, including this one in Discussion:

“In addition to improve disease model accuracy, considering partner count variations arising from age distributions in real populations could be useful when trying to design awareness and intervention strategies.”

Reviewer #2

Overall, the study is well described and I think this study has a potential to be interesting and valuable.

Thank you for this positive comment and for many specific suggestions after thorough reading

Major comments

1. The authors undertook a survey in 5 September-6 October, highlighting their survey is more recent than other survey in the UK (e.g., Natsal-3) in the introduction section. However, Natsal-4 was conducted in September 2022 and is supposed to be more recent than this study. While I understand that it was not possible to include it in this study because this new dataset has not been made public, I encourage the authors not to focus too much on the recency of their data when claiming the merit of the study.

Thank you for this information. The link says that data collection for Natsal-4 will continue into 2023. We have revised our text to not say that our study is more recent than Natsal-4.

Please see revised text 1st paragraph of Introduction

If possible, it would also be helpful to briefly mention/discuss Natsal-4 as this will give the readers useful reference and context.

We have now mentioned Natsal-4 (with URL)

Partly Because its results aren’t published and we didn’t know if the survey instrument was same as Natsal-3, we agree with reviewer that we shouldn’t compare our own survey too much with Natsal, we don’t know enough about what we would be comparing to.

2. Because it is an explanatory data analysis (as stated by the authors), I would recommend that the model selection should be based on BIC, not AIC. AIC is constructed by approximating generalization loss (or predictive performance; i.e. the divergence between the true distribution and predictive distribution) while BIC is based on model evidence, which indicates that BIC is more useful in selecting a correct model while the AIC is more appropriate in finding the best model for predicting future observations (https://doi.org/10.1016/B978-0-444-51862-0.50018-6).

We were happy to use BIC instead.

3.1 I found that the authors’ definitions of MSM/MSW/WSM do not exclude sexually inactive people, who are now also counted as those having zero partner. This means “zero-partner individuals” comprise (i) sexually active persons but with no sexual contact over the study period, and (ii) sexually inactive persons, which may be problematic in the estimation. If the authors can distinguish those two based on the original data, they should simply exclude (ii), sexually inactive persons, from their analyses.

This is a reason we previously tried hurdle models, with zero-truncated negative binomial regression for the 2nd stage: persons with partner count > 1. Technically to exclude the zero-count people would be to make assumptions about them that we couldn’t evidence robustly (we didn’t ask if they are celibate by choice or circumstances), and there was no theoretical or stats basis to prefer the hurdle models otherwise (not a much better AIC/BIC).

We agree on the value of trying to recognise this problem, as well as how excluding the zero-partner count persons could be handled in sensitivity analysis about the apparent relationship between age and partner counts. Therefore the revised article reports on two model approaches : negative binomial regression on full data by partnership type, as well as applying Weibull distribution with several expressions of the age variable, form of which is our primary focus

3.2 If this is not possible, I think there are some options to address this issue. One is to left-truncate the distributions at partner count=1 to ignore zero counts. Alternatively, they can also use zero-inflated distribution, which enable the authors to allow for the sexually inactive persons statistically.

We report on two alternative model forms as suggested, negative binomial regression on full data by partnership type, with several expressions of the age variable which is our primary focus, as well as applying Weibull distribution to non-zero respondents. These models are applied in order to pursue our clarified aim which is to explore the relationship between Age and reported partner counts. We don’t consider a large variety of other models because we didn’t set out to find the best possible model fit. We do provide the underlying dataset to enable other interested researchers to undertake that analysis if they like.

4. For the sentence at P5L128-130 “Among respondents who gave the correct answer to the attention check question, manual inspection of free-text responses to four questions did not suggest that any of these were generated by artificial intelligence algorithms.”, please elaborate on this. How did the authors distinguish human and AI? What kind of AI did they consider?

We Rewrote the sentence as below; it was a subjective judgement based on our previous experiences of learning how to identify ‘bot’ responses in other surveys. To be honest, we don’t like to say too much publicly about how to identify bot answers because that would help the bot writers evade detection.

“Among respondents who gave the correct answer to the attention check question, manual inspection of free-text responses to four questions did not suggest that any of these were nonsensical, illogical in the UK context or formulaic sounding which could happen because they were generated in bad faith or by artificial intelligence algorithms.”

5. The authors utilized a negative-binomial distribution across all the groups (MSM/MSW/WSM) but using the same ad-hoc distribution for all cases might not be fully justified as each group may have a unique sexual partnership pattern. Besides, sexual distributions have been reported to typically have heavy-tailed or power-law tailed property in the large body of literatures (e.g., Schneeberger et al. https://doi.org/10.1097/00007435-200406000-00012, Endo et al. https://doi.org/10.1126/science.add4507, Ito et al. https://doi.org/10.1371/journal.pone.0221520). These studies suggest that a negative binomial may not fully capture the (extreme) level of heterogeneity in sexual partners. I’d like the authors to reanalyse all the groups, using heavy-tailed distributions such as Pareto or Weibull distributions, visually inspect the fit, and/or select a best-fit model for each group by BIC.

We agree on the value of trying to recognise this problem, as well as how excluding the zero-partner count persons could be handled in sensitivity analysis about the apparent relationship between age and partner counts. Therefore the revised article reports on two model approaches : negative binomial regression on full data by partnership type, as well as applying Weibull distribution to non-zero respondents, with several expressions of the age variable which is still our primary interest.

We selected best model by minimising BIC as suggested. The stata scripts to generate the models and figures are included in supporting information.

6. What type of distributions did the author employ in the regression models with which they tried such as hurdle regression, zero-inflated models, etc (described around P6L186)? Did the authors only use a negative binomial distribution to the other models?

On that note, I do not generally agree with the “data not shown” practice the authors use here, because the statements cannot be interpreted without them along with full description of the methods. Please include in the Supplementary file.

With hurdle regression we tried zero-truncated negbin models, but these failed to converge in latest iterations so not mentioned here.

We want to describe and implement well the models that we do describe; our objective was not to exhaustively try every model form or to identify a best form, but rather to focus on apparent relationship between age & partner count.

We do now fully show (including supplemental material) the two alternative model results and 3 age-variable expressions

7. Regarding the sentence, “The statistical model form reported here (negative binomial) was preferred because the outputs could be easily reported and replicated, supporting development of realistic mpox and sexually transmitted infection models.” at P7L188-191, I think this does not support their model choice at all since there is no statistical justification matched with data. I’m also not sure about what the authors imply by “because the outputs could be easily reported and replicated, supporting development of realistic mpox and sexually transmitted infection models”.

As mentioned above, my understanding is that sexual partner data have been rarely characterized by negative binomial distributions

Our aim was not to exhaustively explore the model relationship forms, but rather to focus on the age relationship, with some sensitivity analysis addressing the consistency of that relationship. Hopefully, with clarified aim and objectives and multiple models tried, the analysis approach will now seem more justified.

We encourage readers to use the data to their own purposes to explore other research questions and indeed other relationship forms.

We know that some published models have used negbin distribution for sex partner counts:

doi.org/10.1093/ofid/ofac274

doi.org/10.1089/apc.2020.0151

We weren’t in a position to undertake a systematic review to see if negbin distrbtn was rare. We agree with reviewer that it is useful to see if the apparent variations in relationship between age and partner count, especially for MSM, holds up with diverse model forms/distributions for predicting partner count, and now describe methods in context of that strategy.

8. Although the authors repeatedly highlighted their findings are useful in modelling sexually-associated transmissions, there is no description as to how it would be useful. I would be interested in how the authors’ findings could be plugged into disease models. I am not sure if data-driven network modelling for STIs allowing for age-dependent heterogeneity in sexual contact networks is possible as the authors suggest when…

Simply put, many prior models aged MSMs out of the at-risk group at a rigid age point, eg 39 or 65; our data suggest that is unjustified. Moreover, our data suggest that middle aged MSMs may tend to have the highest partner counts.

We hope that changes we made to the aims and objectives in the Introduction now make it much clearer that our focus is on how age and likely partner counts varies with age, it seems unjustified to assume that partner count is about the same from age 16-65 and then abruptly goes to zero.

We added this sentence to our Limitations section:

“We haven’t tested in transmission models and an exemplar population if varying expected partner count by age makes much difference to outcomes such as total persons made ill or relative effectiveness of possible disease prevention strategies.”

…there is little empirical data on age assortativity in sexual partner formation.

Age dissassortiveness is an active consideration of many studies about disease transmission among both heterosexuals and MSMs, which often draw on survey data of actual people and use this information in modelled exemplar populations :, eg

doi.org/10.3390/ijerph16091592

doi.org/10.1089/aid.2018.0236

DOI: 10.1097/QAI.0000000000002305

doi. org/10.1136/bmjopen-2020- 039896

https://sti.bmj.com/content/96/1/62.abstract

9. Related to #6; Although the authors said they decided not to present other model approaches (P6L186), I encourage them to show the comparison of all of the fitting including model selection to justify their choice of the final model.

We have declined to show all possible model forms that we explored previously because our aims were not an exhaustive exploration, but rather to explore if the relationship between partner count is likely to be static with age (it’s not) or if there was a sharp decline/change for partner counts at any upper age threshold : we could not observe that sharp decline or a static age-partner count relationship in our data so feel that we have demonstrated that these assumptions (often used in other models) were not supported by our data

10. It would be very informative to show log-log plots for the sexual partnership distributions. This would make readers easily understand how each distribution is skewed.

Partly done, we didn’t know what variable would be log-transformed on the x-axis. We do understand the value of histograms to show the skew, so we added those instead to supplemental file, by partnership type and stratified by 3 age groups (9 plots in new Figure)

11. According to P8L211-212, 28% of MSW are also MSM in the data, which is fairly high compared to the actual proportion of the overlap. This is not surprising because MSM were oversampled due to the nature of the surveys except for Savanta GP, but for this reason I am not sure how we should interpret this 28% figure. I suggest the authors consider alternative ways to characterize the overlap between MSW and MSM.

No action taken.

We chose to focus on the relationship between age and partner counts for the three most common partnership types: MSM, MSW and WSM. We do provide data to enable others interested in WSM&W or MSM&W (etc) or differences between MSoM and MSM&W etc. to undertake their own analyses.

We weren’t entirely sure what characterize the overlap meant. The survey under sampled heterosexual males who are also MSM. We would prefer not to imply we can say something confident about MSW who are also MSM and their likely partner counts. Sample size also means that it could be tricky to create an adequately powered model with many confounders. But ultimately, we thought that exploring less common partnership types was too far outside the scope of our original aims and what conclusions the data could support.

We supply the data and encourage readers to use it to explore other research questions.

12. The authors calculated median of partner counts in each cohort but, as I pointed out in the comment #3, the authors may wish to address the issue of people with zero partner counts when analyzing them (because the median would be sensitive to handling of these people). Probably excluding people with zero partner count would be enough for the purpose of quick comparison.

We now test and report an alternative model approach that addresses this issue (Weibull regression)

13. In the discussion section (P9L247-P10L265), the authors discussed that the drastic decline in mpox cases would be primarily attributed to behavioural changes citing some papers. However, there is another key factor that would play significant roles in shaping mpox epidemic sizes: that is, depletion of susceptibles effect over heavy-tailed sexual contact networks (Murayama et al. https://doi.org/10.1093/infdis/jiad254; Xiridou et al. https://doi.org/10.1101/2023.01.31.23285294). These studies suggest that accumulation of infection-derived immunity in heavy-tailed sexual networks can dramatically lower the herd immunity threshold and final sizes, and the observed decline in cases may not be primarily attributable to behavioural changes or interventions. I’d like more in-depth discussion in the manuscript that touches on the depletion of susceptibles effect.

No additional discussion added

The survey data provide a snapshot of sexual behaviour; those are the data we have, analysed and are most justified to comment on.

We haven’t introduced the topic of depletion of susceptibles because those data / that hypothesis are based on modelling by others (with caveat and limitations we don’t understand) and that we can’t adequately describe in a brief format suitable for inclusion in the Discussion.

As a side note, ref 15 also discussed this effect as “the biggest factor”. So, it’d be inappropriate to say “early opinion was that decline in the outbreak was more due to behaviour change (15)”, citing ref 15.

We rephrased our statement to say that behaviour choices were likely important, as below

“early opinion was behaviour change may have been an important reason for decline of the outbreak [15]. …”

14. I do not think discussing the impact of behavioural changes citing ref 14 without noting its limitations is a good idea. Ref 14 did not well inform the impact of behavioural changes on the transmission dynamics as they did not use quantitative measures, alongside that it is unclear from the study whether the results are representative of people who have many partners and are thus playing roles in mpox transmission.

No action taken

This is a fair point but the same and many other potential biases (samples of convenience, recruited on the Internet) apply to most of our own survey data and indeed most modern cross sectional surveys, which we acknowledge in the Methods and Discussion and we believe will be a priori known by readers of this journal. What is not clear that these biases have distorted is the underlying general relationship between age and partner count, allowing for variations by partnership type and age subgroups, so hopefully our analysis about that relationship will sustain further scrutiny and accord with analyses of other large samples in future.

15. Please discuss the strength of the study more convincingly than the authors currently state at P11L304-306. It is indeed a good point that the existing mpox modeling study (ref 2) relied on relatively limited MSM samples, but the authors did not clarify what changes their new data could bring to such studies. For example, the authors’ data indeed has 4x sample size than the data used in ref 2, but is it enough to significantly improve the results of that study (yes confidence intervals may be slightly narrower but is it just that?)?

We hope that with more clearly stated aim and objectives, the statements in discussion about why a more variable relationship between age & partner count is worth considering, are now more convincing. We acknowledge the limitation that we haven’t tested the difference in our own transmission models. We believe that such testing would need to be done to answer the reviewer’s question, and ideally done with a variety of modelling approaches and research questions in order to say definitive things.

I would be convinced if the authors’ data can provide detailed information at the tail part of the sexual partner distributions that had not been available with small sample data. Other aspects of the authors’ data, including sub-samples and the presence of active 65+ individuals, would also be potentially useful in modelling …

It is not clear that we have that much more data about the heavy tail (we haven’t done an exhaustive comparison with other datasets to know), but we do supply the data and explicitly encourage readers to use the data in other analyses to provide more information in their own analyses about heavy-tailed networks or other topics.

Meanwhile, it should also be noted that bias in sampling may undermine the strength of a large sample size. Savanta may be representative as they used quota sampling method, but other cohorts, in particular Grindr, are not. Then the sample size in Savanta becomes 369 (=161+208) and it is almost the same order (a few hundreds the authors said to ref 2 at P11L306).

Bias in sampling strategy (which we mention repeatedly) is a reason why we haven’t undertaken exhaustive sub group analyses : we aren’t sure what the results would mean. We prefer subgroup analysis only with the larger (> 1000) and most real-world- relevant partnership (most common) types.

Rather than putting too much emphasis on the sample size, I think it’d be better to put more focus on their detailed information about each data (represented in Table S1-S9), which would be beneficial for those who attempt to construct an age-specific network model.

We slightly disagree with the referee, In that we argue that The large sample is what enables the rich data to have plausible generalisability. We supply the data and explicitly encourage readers to use the data to test generalisability or predict likely behaviour

Minor comments

1. The authors often described MSM/MSW/WSM as MSMs/MSWs/WSMs, but “s” should be deleted.

We deleted the s in all cases

2. I recommend the authors make the overall writing more formal, objective, and quantitative throughout. There are a number of instances where the text is rather casual, empty, or vague . I present some examples below:

“We wanted to-” at P2L56,

“Grindr respondents were somewhat younger-“ at P7L195,

“it is quite possible-” at P9L248,

etc.

We reviewed the manuscript for informal language. Wanted was changed to explored. We removed the word somewhat. We removed the word quite.

3. Typo: “low frequency sexual contact” at P4L122 -> “low frequency of sexual contact”

“of” was inserted

4. Ref 14 is a summary article based on the original research paper. Please cite this original paper instead (http://dx.doi.org/10.15585/mmwr.mm7135e1).

This reference was replaced with the one indicated

5. In light of the reproducibility of this study and also for the study to make an impact on future research, I hugely encourage the authors to share the data and stata code they made on a platform such as GitHub repository. It is stated that the data will be shared along with another paper but this only makes sense if that paper is published before this paper is published (and I am not fully sure of the point of safeguarding the data when the preprint is already public…?)

The stata code is now included with each fully reported model in the supporting information

The stata code to generate the figures is also included

6. Please do not use abbreviations in Figures (e.g. ptnrs to partners).

The figures no longer have abbreviations

Attachment

Submitted filename: Response to reviewers.docx

Decision Letter 1

Soham Bandyopadhyay

21 Aug 2023

The relationship between age and sex partner counts during the mpox outbreak in the UK, 2022

PONE-D-23-04595R1

Dear Dr. Brainard,

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Soham Bandyopadhyay

Academic Editor

PLOS ONE

Acceptance letter

Soham Bandyopadhyay

29 Aug 2023

PONE-D-23-04595R1

The relationship between age and sex partner counts during the mpox outbreak in the UK, 2022

Dear Dr. Brainard:

I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department.

If your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information please contact onepress@plos.org.

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Thank you for submitting your work to PLOS ONE and supporting open access.

Kind regards,

PLOS ONE Editorial Office Staff

on behalf of

Dr. Soham Bandyopadhyay

Academic Editor

PLOS ONE


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