Table 2 Interaction ratio of odds ratios (ROR) of contact with nature on the associations between social inclusivity, perceived overcrowding, and population density and momentary loneliness.

	ROR (95% CI)	ROR (95% CI)	ROR (95% CI)	ROR (95% CI)	ROR (95% CI)
Overall sample	25% response rate^a (n = 756)	50% response rate^a (n = 397)	75% response rate^a (n = 113)	50% response rate^b (n = 397)	50% response rate^c (n = 397)
Nature * Social Inc	1.13*** (1.07, 1.18)	1.18*** (1.11, 1.25)	1.20*** (1.08, 1.33)	1.18*** (1.11, 1.25)	1.09*** (1.04, 1.14)
Nature * Overcrowded	0.95 (0.74, 1.21)	0.90 (0.67, 1.21)	0.73 (0.42, 1.26)	0.90 (0.67, 1.21)	1.05 (0.79, 1.40)
England and Wales sample	25% response rate^a (n = 274)	50% response rate^a (n = 138)	75% response rate^a (n = 32)	50% response rate^b (n = 138)	50% response rate^c (n = 138)
Nature * Population density	1.03 (0.98, 1.08)	1.02 (0.96, 1.08)	1.08 (0.97, 1.19)	1.02 (0.96, 1.08)	1.02 (0.96, 1.08)

Ratio of odds ratio (ROR) and 95% confidence intervals (CI) between self-reported momentary loneliness scores and (1) feelings of social inclusivity by contact with nature (2) crowdedness by contact with nature (3) population density by contact with nature at the 25%, 50%, and 75% response rates.
*p < 0.05.
**p < 0.01.
***p < 0.001.
^aUnadjusted interactions between momentary loneliness scores and (1) feelings of social inclusivity by contact with nature; (2) crowdedness by contact with nature; (3) population density by contact with nature.
^bAdjusted interactions controlled for age, gender, ethnicity, education and occupation.
^cAdjusted interactions controlled for age, gender, ethnicity, education and occupation, plus the Multiple Imputations Chained Equations (MICE) procedure was employed for the main sample who completed more than 50% of the momentary assessments.

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