Abstract
How we allocate time to activities impacts our health. Daily times spent in activities are interrelated because they compete for time-shares within a finite 24 h window. If more time is spent in one activity, time must be taken from one or more of the remaining activities to maintain the fixed total of 24 h. Thus, time-use data have a relative nature and can be analysed accordingly using compositional data analysis. In this chapter, we demonstrate exploratory and cross-sectional inferential analyses of an eight-part time-use composition using data from the Longitudinal Study of Australian Children (n = 2224, 52% boys, mean age = 34 months, standard deviation = 3). For inferential analyses, time-use compositions are expressed as a specific choice of balance coordinates to separate between types of activities. Considering the balance coordinates as explanatory variables, we explore the relationship between children’s time-use composition and their socio-emotional health. Subsequently, we consider the balance coordinates as dependent variables and explore the relationship between parental perception of neighbourhood liveability and their child’s time-use composition.
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References
J. Aitchison, The statistical analysis of compositional data. J. Roy. Stat. Soc. B 44(2), 139–160 (1982)
J. Aitchison, M. Greenacre, Biplots of compositional data. J. Roy. Stat. Soc.: Ser. C (Appl. Stat.) 51, 375–392 (2002)
Australian Government Department of Health, Australian 24-hour movement guidelines for children and young people (5–17 years) – an integration of physical activity, sedentary behaviour and sleep (2019), https://www1.health.gov.au/internet/main/publishing.nsf/Content/health-24-hours-phys-act-guidelines
G.J.H. Biddle, C.L. Edwardson, J. Henson, M.J. Davies, K. Khunti, A.V. Rowlands, T. Yates, Associations of physical behaviours and behavioural reallocations with markers of metabolic health: a compositional data analysis. Int. J. Environ. Res. Public Health 15(10) (2018)
T. Blakemore, L. Strazdins, J. Gibbings, Measuring family socioeconomic position. Aust. Soc. Policy 8, 121–168 (2009)
M.J.Briggs-Gowan, A.S. Carter, Brief infant-toddler social and emotional assessment (BITSEA) manual, version 2.0 (Yale University, New Haven, 2002)
V. Carson, M.S. Tremblay, J.P. Chaput, S.F.M. Chastin, Associations between sleep duration, sedentary time, physical activity, and health indicators among Canadian children and youth using compositional analyses. Appl. Physiol. Nutr. Metab. 41(6), S294–S302 (2016)
V. Carson, M.S. Tremblay, J.P. Chaput, D. McGregor, S. Chastin, Compositional analyses of the associations between sedentary time, different intensities of physical activity, and cardiometabolic biomarkers among children and youth from the United States. PLOS One 14(7) (2019)
DST-NRF Centre of Excellence in Human Development and Laureus “Sport for good”, South African 24-hour movement guidelines for birth to five years: an integration of physical activity, sitting behaviour, screen time and sleep (Cape Town, SA, 2018)
J.-P. Chaput, V. Carson, C.E. Gray, M.S. Tremblay, Importance of all movement behaviors in a 24 hour period for overall health. Int. J. Environ. Res. Public Health 11(12), 12575–12581 (2014)
S.F.M. Chastin, J. Palarea-Albaladejo, M.L. Dontje, D.A. Skelton, Combined effects of time spent in physical activity, sedentary behaviors and sleep on obesity and cardio-metabolic health markers: a novel compositional data analysis approach. PLoS ONE 10(10), e0139984 (2015)
P. Coenen, S.E. Mathiassen, A.J. van der Beek, D.M. Hallman, Correction of bias in self-reported sitting time among office workers – a study based on compositional data analysis. Scand. J. Work Environ. Health 46(1), 32–42 (2020)
J.Corey, J. Gallagher, E. Davis, M. Marquardt, The times of their lives: collecting time use data from children in the longitudinal study of Australian children (LSAC). Technical Paper 13. In: Growing up in Australia. The longitudinal study of australian children (LSAC) (Australian Bureau of Statistics, 2014)
B. del Pozo Cruz, R.M. Alfonso-Rosa, D. McGregor, S.F.M. Chastin, J. Palarea-Albaladejo, J. del Pozo Cruz, Sedentary behaviour is associated with depression symptoms: compositional data analysis from a representative sample of 3233 US adults and older adults assessed with accelerometers. J. Affect. Disord. 265, 59–62 (2020)
D. Dumuid, L.K. Lewis, T.S. Olds, C. Maher, C. Bondarenko, L. Norton, Relationships between older adults’ use of time and cardio-respiratory fitness, obesity and cardio-metabolic risk: a compositional isotemporal substitution analysis. Maturitas 110, 104–110 (2018)
D. Dumuid, T.E. Stanford, J.A. Martin-Fernández, Ž Pedišić, C.A. Maher, L.K. Lewis, K. Hron, P.T. Katzmarzyk, J.P. Chaput, M. Fogelholm, G. Hu, E.V. Lambert, J. Maia, O.L. Sarmiento, M. Standage, T.V. Barreira, S.T. Broyles, C. Tudor-Locke, M.S. Tremblay, T. Olds, Compositional data analysis for physical activity, sedentary time and sleep research. Stat. Methods Med. Res. 27(12), 3726–3738 (2018a)
D. Dumuid, T.E. Stanford, Ž. Pedišić, C. Maher, L.K. Lewis, J.A. Martín-Fernández, P.T. Katzmarzyk, J.P. Chaput, M. Fogelholm, M. Standage, M.S. Tremblay, T. Olds, Adiposity and the isotemporal substitution of physical activity, sedentary time and sleep among school-aged children: a compositional data analysis approach. BMC Public Health 18(311), 1–10 (2018)
D. Dumuid, Ž Pedišić, T.E. Stanford, J.A. Martín-Fernández, K. Hron, C.A. Maher, L.K. Lewis, T. Olds, The compositional isotemporal substitution model: a method for estimating changes in a health outcome for reallocation of time between sleep, physical activity and sedentary behaviour. Stat. Methods Med. Res. 28(3), 846–857 (2019)
D. Dumuid, Ž Pedišić, J. Palarea-Albaladejo, J.A. Martín-Fernández, K. Hron, T. Olds, Compositional data analysis in time-use epidemiology: what why, how. Int. J. Environ. Res. Public Health 17(7), 2220 (2020)
J.J. Egozcue, V. Pawlowsky-Glahn, Groups of parts and their balances in compositional data analysis. Math. Geol. 37(7), 795–828 (2005)
J.J. Egozcue, V. Pawlowsky-Glahn, G. Mateu-Figueras, C. Barcelo-Vidal, Isometric logratio transformations for compositional data analysis. Math. Geol. 35(3), 279–300 (2003)
J.J. Egozcue, J. Daunis-i-Estadella, V. Pawlowsky-Glahn, K. Hron, P. Filzmoser, Simplicial regression. The normal model. J. Appl. Prob. Stat. 6, 87–108 (2011)
S.J. Fairclough, D. Dumuid, S. Taylor, W. Curry, B. McGrane, G. Stratton, C. Maher, T. Olds, Fitness, fatness and the reallocation of time between children’s daily movement behaviours: an analysis of compositional data. Int. J. Behav. Nutr. Phys. Act. 14(64), 1–12 (2017)
S.J. Fairclough, D. Dumuid, S. Taylor, W. Curry, B. McGrane, G. Stratton, C. Maher, T. Olds, Fitness, fatness and the reallocation of time between children’s daily movement behaviours: an analysis of compositional data. Int. J. Behav. Nutr. Phys. Act. 14(1), 64 (2017)
S.J. Fairclough, D. Dumuid, K.A. Mackintosh, G. Stone, R. Dagger, G. Stratton, I. Davies, L.M. Boddy, Adiposity, fitness, health-related quality of life and the reallocation of time between children’s school day activity behaviours: a compositional data analysis. Prev. Med. Rep. 11, 254–261 (2018)
P. Filzmoser, K. Hron, C. Reimann, Principal component analysis for compositional data with outliers. Environmetrics 20, 621–632 (2009)
P. Filzmoser, K. Hron, M. Templ, Applied Compositional Data Analysis: With Worked Examples in R Springer Series in Statistics. (Springer Nature Switzerland AG, Cham, 2018).
L. Foley, D. Dumuid, A.J. Atkin, T. Olds, D. Ogilvie, Patterns of health behaviour associated with active travel: a compositional data analysis. Int. J. Behav. Nutr. Phys. Act. 15(1), 26 (2018)
L. Foley, D. Dumuid, A.J. Atkin, K. Wijndaele, D. Ogilvie, T. Olds, Cross-sectional and longitudinal associations between active commuting and patterns of movement behaviour during discretionary time: a compositional data analysis. PLoS ONE 14(8), e0216650 (2019)
A. Gába, Ž. Pedišić, N. Štefelová, J. Dygrýn, K. Hron, D. Dumuid, M. Tremblay, Sedentary behavior patterns and adiposity in children: a study based on compositional data analysis. BMC Pediatr. 20(1) (2020)
M. Gray, A. Sanson, Growing up in Australia: the longitudinal study of Australian children. Fam. Matters 72, 4–9 (2005)
N. Gupta, S.E. Mathiassen, G. Mateu-Figueras, M. Heiden, D.M. Hallman, M.B. Jørgensen, A. Holtermann, A comparison of standard and compositional data analysis in studies addressing group differences in sedentary behavior and physical activity. Int. J. Behav. Nutr. Phys. Act. 15(1), 53 (2018)
N. Gupta, D. Dumuid, M. KorshØj, M.B. JØrgensen, K. SØgaard, A. Holtermann, Is daily composition of movement behaviors related to blood pressure in working adults? Med. Sci. Sport. Exerc. 50(10), 2150–2155 (2018)
N. Gupta, D.M. Hallman, D. Dumuid, A. Vij, C.L. Rasmussen, M.B. Jørgensen, A. Holtermann, Movement behavior profiles and obesity: a latent profile analysis of 24-h time-use composition among Danish workers. Int. J. Obes. 44(2), 409–417 (2020)
D.M. Hallman, S.E. Mathiassen, A.J. van der Beek, J.A. Jackson, P. Coenen, Calibration of self-reported time spent sitting, standing and walking among office workers: a compositional data analysis. Int. J. Environ. Res. Public Health 16(17) (2019)
T.H. Hejazi, M. Bashiri, J.A. Dı, K. Noghondarian, Optimization of probabilistic multiple response surfaces. Appl. Math. Model. 36(3), 1275–1285 (2012)
K. Hron, P. Filzmoser, K. Thompson, Linear regression with compositional explanatory variables. J. Appl. Stat. 39(5), 1115–1128 (2012)
K. Hron, P. Filzmoser, P. de Caritat, E. Fišerová, A. Gardlo, Weighted pivot coordinates for compositional data and their application to geochemical mapping. Math. Geosci. 49(6), 797–814 (2017)
T. Hunt, M. Williams, T. Olds, D. Dumuid, Patterns of time use across the chronic obstructive pulmonary disease severity spectrum. Int. J. Environ. Res. Public Health 15(3), 533 (2018)
INTUE: International Network of Time-Use Epidemiologists (2020), https://www.intue.org/
D. Jurakic, Ž Pedišić, Croatian 24-hour guidelines for physical activity, sedentary behaviour, and sleep: a proposal based on a systematic review of literature. Medicus 28(2), 143–153 (2019)
J.A. Martín-Fernández, J. Palarea-Albaladejo, R.A. Olea, Dealing with zeros, in Compositional Data Analysis: Theory and Applications, ed. by V. Pawlowsky-Glahn, A. Buccianti (Wiley, Chichester, 2011)
J.A. Martín-Fernández, J. Daunis-i-Estadella, G. Mateu-Figueras, On the interpretation of differences between groups for compositional data. SORT-Stat. Oper. Res. Trans. 39(2), 231–252 (2015)
G. Mateu-Figueras, V. Pawlowsky-Glahn, J.J. Egozcue, The principle of working on coordinates, in Compositional Data Analysis, ed. by V. Pawlowsky-Glahn, A. Buccianti (Wiley, Chichester, 2011), pp. 29-42
L. Matricciani, Y.S. Bin, T. Lallukka, E. Kronholm, M. Wake, C. Paquet, D. Dumuid, T. Olds, Rethinking the sleep-health link. Sleep Health 4(4), 339–348 (2018)
D.E. McGregor, J. Palarea-Albaladejo, P.M. Dall, E. Stamatakis, S.F.M. Chastin, Differences in physical activity time-use composition associated with cardiometabolic risks. Prev. Med. Rep. 13, 23–29 (2019)
D.E. McGregor, J. Palarea-Albaladejo, P.M. Dall, B. del Pozo Cruz, S.F.M. Chastin, Compositional analysis of the association between mortality and 24-hour movement behaviour from NHANES. Eur. J. Prev. Cardiol. (2019)
D.E. McGregor, J. Palarea-Albaladejo, P.M. Dall, K. Hron, S.F.M. Chastin, Cox regression survival analysis with compositional covariates: application to modelling mortality risk from 24-h physical activity patterns. Stat. Methods Med. Res. (2019)
R.H. Myers, D.C. Montgomery, C.M. Anderson-Cook, Response Surface Methodology: Process and Product Optimization Using Designed Experiments (Wiley, Hoboken, 2016)
New Zealand Ministry of Health, Sit less, move more, sleep well: physical activity guidelines for children and young people (2017), https://www.health.govt.nz/system/files/documents/pages/physical-activity-guidelines-for-children-and-young-people-may17.pdf. Accessed 26 Jan 2020
B.J. O’Hara, A. Grunseit, P. Phongsavan, W. Bellew, M. Briggs, A.E. Bauman, Impact of the swap it, don’t stop it Australian national mass media campaign on promoting small changes to lifestyle behaviors. J. Health Commun. 21(12), 1276–1285 (2016)
J. Palarea-Albaladejo, J.A. Martín-Fernández, zCompositions—R package for multivariate imputation of left-censored data under a compositional approach. Chemometr. Intell. Lab. Syst. 143, 85–96 (2015)
V. Pawlowsky-Glahn, J.J. Egozcue, R. Tolosana-Delgado, Modeling and Analysis of Compositional Data (Wiley, Hoboken, 2015).
Ž. Pedišić, Measurement issues and poor adjustments for physical activity and sleep undermine sedentary behaviour research—the focus should shift to the balance between sleep, sedentary behaviour, standing and activity. Kinesiology 46(1), 135–146 (2014)
Ž. Pedišić, D. Dumuid, T. Olds, Integrating sleep, sedentary behaviour, and physical activity research in the emerging field of time-use epidemiology: definitions, concepts, statistical methods, theoretical framework, and future directions. Kinesiology 49(2), 252–269 (2017)
J. Pelclová, N. Štefelová, D. Dumuid, Ž Pedišić, K. Hron, A. Gába, T. Olds, J. Pechová, I. Zając-Gawlak, L. Tlučáková, Are longitudinal reallocations of time between movement behaviours associated with adiposity among elderly women? A compositional isotemporal substitution analysis. Int. J. Obes. 44(4), 857–864 (2020)
V.J. Poitras, C.E. Gray, M.M. Borghese, V. Carson, J.-P. Chaput, I. Janssen, P.T. Katzmarzyk, R.R. Pate, S. Connor Gorber, M.E. Kho, Systematic review of the relationships between objectively measured physical activity and health indicators in school-aged children and youth. Appl. Physiol. Nutr. Metab. 41(6), S197–S239 (2016)
C.L. Rasmussen, J. Palarea-Albaladejo, A. Bauman, N. Gupta, K. Nabe-Nielsen, M.B. Jørgensen, A. Holtermann, Does physically demanding work hinder a physically active lifestyle in low socioeconomic workers? A compositional data analysis based on accelerometer data. Int. J. Environ. Res. Public Health 15(7) (2018)
C.L. Rasmussen, J. Palarea-Albaladejo, M. Korshøj, N. Gupta, K. Nabe-Nielsen, A. Holtermann, M.B. Jørgensen, Is high aerobic workload at work associated with leisure time physical activity and sedentary behaviour among blue-collar workers? A compositional data analysis based on accelerometer data. PLOS One 14(6) (2019)
K. Ridley, T.S. Olds, A. Hill, The multimedia activity recall for children and adolescents (MARCA): development and evaluation. Int. J. Behav. Nutr. Phys. Act. 3(1), 10 (2006)
I. Rodríguez-Gómez, A. Mañas, J. Losa-Reyna, L. Rodríguez-Mañas, S.F.M. Chastin, L.M. Alegre, F.J. García-García, I. Ara, The impact of movement behaviors on bone health in elderly with adequate nutritional status: compositional data analysis depending on the frailty status. Nutrients 11(3) (2019)
M.E. Rosenberger, J.E. Fulton, M.P. Buman, R.P. Troiano, M.A. Grandner, D.M. Buchner, W. Haskell, The 24-hour activity cycle: a new paradigm for physical activity. Med. Sci. Sports. Exerc. 51(3), 454–464 (2019)
N. Štefelová, J. Dygrýn, K. Hron, A. Gába, L. Rubín, J. Palarea-Albaladejo, Robust compositional analysis of physical activity and sedentary behaviour data. Int. J. Environ. Res. Public Health 15(10), 2248 (2018)
M.L. Stevens, P. Crowley, C.L. Rasmussen, D.M. Hallman, O.S. Mortensen, C.H. Nygård, A. Holtermann, Accelerometer-measured physical activity at work and need for recovery: a compositional analysis of cross-sectional data. Ann. Work Expo. Health 64(2), 138–151 (2020)
W. Stone, J. Hughes, Measuring social capital: toward a standardised approach. Paper presented at the Citeseer (2002).
R. Talarico, I. Janssen, Compositional associations of time spent in sleep, sedentary behavior and physical activity with obesity measures in children. Int. J. Obes. 42(8), 1508–1514 (2018)
R.W. Taylor, S.M. Williams, V.L. Farmer, B.J. Taylor, Changes in physical activity over time in young children: a longitudinal study using accelerometers. PLoS ONE 8(11), e81567 (2013)
R.W. Taylor, J.J. Haszard, V.L. Farmer, R. Richards, L. Te Morenga, K. Meredith-Jones, J.I. Mann, Do differences in compositional time use explain ethnic variation in the prevalence of obesity in children? Analyses using 24-hour accelerometry. Int. J. Obes. 44(1), 94–103 (2020)
M. Templ, K. Hron, P. Filzmoser, robCompositions: an R-package for robust statistical analysis of compositional data, in Compositional Data Analysis: Theory and Applications, ed. by V. Pawlowsky-Glahn, A. Buccianti (Wiley, Chichester, 2011)
M.S. Tremblay, Introducing 24-hour movement guidelines for the early years: a new paradigm gaining momentum. J. Phys. Act. Health 17(1), 92–95 (2020)
M.S. Tremblay, V. Carson, J.P. Chaput, S. Connor Gorber, T. Dinh, M. Duggan, G. Faulkner, C.E. Gray, R. Grube, K. Janson, I. Janssen, P.T. Katzmarzyk, M.E. Kho, A.E. Latimer-Cheung, C. LeBlanc, A.D. Okely, T. Olds, R.R. Pate, A. Phillips, V.J. Poitras, S. Rodenburg, M. Sampson, T.J. Saunders, J.A. Stone, G. Stratton, S.K. Weiss, L. Zehr, Canadian 24-hour movement guidelines for children and youth: an integration of physical activity, sedentary behaviour, and sleep. Appl. Physiol. Nutr. Metab. 41(6), S311–S327 (2016)
K.G. van den Boogaart, R. Tolosana-Delgado, “Compositions”: a unified R package to analyze compositional data. Comput. Geosci. 34(4), 320–338 (2008)
P. von Rosen, I.M. Dohrn, M. Hagströmer, Association between physical activity and all-cause mortality: a 15-year follow-up using a compositional data analysis. Scand. J. Work Environ. Health 30(1), 100–107 (2020)
Vu, V.: ggbiplot: a ggplot2 based biplot. R package version 0.55 (2011), https://github.com/vqv/ggbiplot
X. Wang, Y. Li, H. Fan, The associations between screen time-based sedentary behavior and depression: a systematic review and meta-analysis. BMC Public Health 19, 1524 (2019)
S.M. Williams, V.L. Farmer, B.J. Taylor, R.W. Taylor, Do more active children sleep more? A repeated cross-sectional analysis using accelerometry. PLoS ONE 9(4), e93117 (2014)
World Health Organization, Guidelines on physical activity, sedentary behaviour and sleep for children under 5 years of age (2019), https://apps.who.int/iris/handle/10665/311664
J. Yin, X. Jin, Z. Shan, S. Li, H. Huang, P. Li, X. Peng, Z. Peng, K. Yu, W. Bao, Relationship of sleep duration with all-cause mortality and cardiovascular events: a systematic review and dose-response meta-analysis of prospective cohort studies. J. Am. Heart Assoc. 6(9), e005947 (2017)
B. Zhang, On compositional data modeling and its biomedical applications. Columbia University (2013)
J. Zhao, L. Mackay, K. Chang, S. Mavoa, T. Stewart, E. Ikeda, N. Donnellan, M. Smith, Visualising combined time use patterns of children’s activities and their association with weight status and neighbourhood context. Int. J. Environ. Res. Public Health 16(5) (2019)
W. Zhu, B. Ainsworth, Y. Liu, A comparison of urban black and white women's physical activity patterns, in Paper Presented at the 2002 Annual Convention of the American Alliance for Health, Physical Education, Recreation and Dance, San Diego, California, USA, April 9–13 (2002)
Acknowledgements
This chapter uses unit record data from Growing Up in Australia: The Longitudinal Study of Australian Children (LSAC). The LSAC study was conducted in partnership with the Department of Social Services (DSS), the Australian Institute of Family Studies (AIFS) and the Australian Bureau of Statistics (ABS). The findings and views reported in the paper are those of the authors and should not be attributed to DSS, AIFS or the ABS.
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D.D. was supported by the National Health and Medical Research Council Early Career Fellowship (1162166) and the National Heart Foundation of Australia Postgraduate Fellowship (102084). J.P.A. and J.A.M.F. were supported by the Spanish Ministry of Science, Innovation and Universities under the project CODAMET (RTI2018-095518-B-C21, 2019-2021). J.P.A. was partly supported by the Scottish Government’s Rural and Environment Science and Analytical Services Division. K.H. was funded by a research grant from the Czech Science Foundation no. 18-09188S.
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Dumuid, D., Pedišić, Ž., Palarea-Albaladejo, J., Martín-Fernández, J.A., Hron, K., Olds, T. (2021). Compositional Data Analysis in Time-Use Epidemiology. In: Filzmoser, P., Hron, K., Martín-Fernández, J.A., Palarea-Albaladejo, J. (eds) Advances in Compositional Data Analysis. Springer, Cham. https://doi.org/10.1007/978-3-030-71175-7_20
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