Submitted:
06 October 2025
Posted:
07 October 2025
You are already at the latest version
Abstract

Keywords:
1. Introduction
2. Materials and Methods
2.1 Design and participants
2.2 Outcome measures
2.3 Missing data
2.4 Homogeneity across groups
2.5 Outcome analysis
2.6 Economic assessment
2.6.1. Standardization of change
2.6.2. Mapping to QALY gain
2.6.3. Accounting for statistical significance and inclusion
2.6.4. Multivariate combination
2.6.5. Monetization
2.6.6. Uncertainty analysis
3. Results and Discussion
3.1. Data imputation
3.2. Pairwise group homogeneity
3.3. Pairwise comparison of effects
3.4. Economic assessment
3.5. Limitations
4. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| CEAC | Cost-effectiveness acceptability curve |
| FH | Fully homogenous |
| KNN | k-nearest neighbors |
| POMS | Profile of Mood States |
| POMS-esteem | Profile of Mood States – self-esteem |
| POMS-TMD | Profile of Mood States – total mood disturbance |
| QALY | Quality-adjusted life years |
| SAC | Special Area of Conservation |
| SG | Self-guided |
| SI | Small imbalance |
| SPA | Special Protection Area |
| STAI | State-Trait Anxiety Inventory |
| STAI-S | State-Trait Anxiety Inventory – state |
| STAI-T | State-Trait Anxiety Inventory – trait |
| TG | Therapist-guided |
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| Site identification | Coordinates g | Site characteristic | Vegetation | Session | Weather | |||||
| ID | Location | Latitude | Longitude | Altitude h | Climb i | Length j | Dominant forestry species | Date | T | Cloudiness k |
| (name) | (°N) | (°E) | (m a.s.l.) | (m) | (m) | (dd-mmm-yy) | (°C) | (/8) | ||
| S1 | Pordenone Refuge a | 46.383 | 12.498 | 1177 | 25 | 2060 | Spruce; mountain pine; birch; white willow; alder | 04-Sep-21 | 18 | 1 |
| S2 | Mincio Park b | 45.168 | 10.807 | 18 | 28 | 1570 | Willow; poplars; oak; turkey oak; alder | 18-Sep-21 | 22 | 3 |
| S3 | Tovel Lake c | 46.259 | 10.954 | 1240 | 135 | 2180 | Larch; beech; silver fir; sycamore maple; aspen | 19-Jun-22 | 23 | 0 |
| S4 | Consuma Pass | 43.783 | 11.588 | 945 | 118 | 1780 | Beech; silver fir; Douglas fir; sequoia | 13-Jul-24 | 25 | 0 |
| S5 | Borbotto Spring d | 43.883 | 11.688 | 1242 | 132 | 1280 | Beech; silver fir | 21-Jul-24 | 25 | 0 |
| S6 | Ratoio Hillock d | 43.853 | 11.637 | 1053 | 160 | 1800 | Black pine; silver fir; beech | 28-Jul-24 | 25 | 2 |
| S7 | Partenio Park e | 40.982 | 14.698 | 1170 | 89 | 1690 | Beech | 22-Jun-25 | 23 | 0 |
| S8 | Mount Cimino f | 42.411 | 12.204 | 1010 | 45 | 1000 | Beech | 20-Sep-25 | 23 | 0 |
| Site_Session | Participants | |||||||
| ID_Type | Gender a | Age classes (%) b | ||||||
| n total; M-F | M (%) | F (%) | ≤29 | 30-44 | 45-54 | 55-69 | ≥70 | |
| S1_TG | 22; 5, 16 | 23.8 | 76.2 | 4.5 | 36.4 | 27.3 | 27.3 | 4.5 |
| S1_SG | 24; 11, 12 | 47.8 | 52.2 | 8.3 | 20.8 | 12.5 | 41.7 | 16.7 |
| S2_TG | 16; 3,10 | 23.1 | 76.9 | 6.3 | 0.0 | 12.5 | 43.8 | 37.5 |
| S2_SG | 15; 7, 6 | 53.8 | 46.2 | 0.0 | 33.3 | 6.7 | 46.7 | 13.3 |
| S3_TG | 29; 7, 5 | 19.2 | 80.8 | 7.1 | 7.1 | 7.1 | 39.3 | 39.3 |
| S3_SG | 13; 2, 8 | 20.0 | 80.0 | 25.0 | 0.0 | 16.7 | 41.7 | 16.7 |
| S4_TG | 13; 7, 5 | 58.3 | 41.7 | 38.5 | 7.7 | 23.1 | 23.1 | 7.7 |
| S4_SG | 13; 3, 8 | 27.3 | 72.7 | 15.4 | 7.7 | 38.5 | 30.8 | 7.7 |
| S5_TG | 13; 1, 9 | 10.0 | 90.0 | 23.1 | 23.1 | 15.4 | 38.5 | 0.0 |
| S5_SG | 11; 5, 4 | 55.6 | 44.4 | 18.2 | 9.1 | 27.3 | 45.5 | 0.0 |
| S6_TG | 11; 2, 6 | 25.0 | 75.0 | 0.0 | 54.5 | 9.1 | 36.4 | 0.0 |
| S6_SG | 15; 5, 7 | 41.7 | 58.3 | 0.0 | 53.3 | 6.7 | 40.0 | 0.0 |
| S7_TG | 21; 6, 11 | 35.3 | 64.7 | 9.5 | 19.0 | 38.1 | 28.6 | 4.8 |
| S7_SG | 14; 6, 7 | 46.2 | 53.8 | 7.1 | 0.0 | 14.3 | 64.3 | 14.3 |
| S8_TG | 26; 5, 19 | 20.8 | 79.2 | 7.7 | 34.6 | 38.5 | 19.2 | 0.0 |
| S8_SG | 26; 2, 21 | 8.7 | 91.3 | 3.8 | 23.1 | 53.8 | 19.2 | 0.0 |
| Sessions | Gender | Age class | STAI-T | Assessment a | |||
| p | Cramer’s V | p | Cramer’s V | p | Cohen’s d | ||
| S1_TG S1_SG |
0.10 | 0.25 | 0.31 | 0.32 | 0.43 | 0.27 | H |
| S2_TG S2_SG |
0.11 | 0.32 | 0.08 | 0.52 | 0.75 | 0.49 | SI |
| S3_TG S3_SG |
0.96 | 0.01 | 0.60 | 0.28 | 0.17 | 0.60 | SI |
| S4_TG S4_SG |
0.13 | 0.31 | 0.75 | 0.27 | 0.05 | 0.70 | SI |
| S5_TG S5_SG |
0.03 | 0.49 | 0.74 | 0.23 | 0.98 | 0.07 | SI |
| S6_TG S6_SG |
0.44 | 0.17 | 0.96 | 0.05 | 0.34 | 0.36 | H |
| S7_TG S7_SG |
0.55 | 0.11 | 0.10 | 0.47 | 0.11 | 0.53 | SI |
| S8_TG S8_SG |
0.24 | 0.17 | 0.66 | 0.18 | 0.77 | 0.04 | H |
| ID | STAI-S | POMS-esteem | POMS-TMD | ||||||
| p | d | p_Welch | p | d | p_Welch | p | d | p_Welch | |
| S1_TG | 0.001 *** |
1.31 ### |
0.008 ** |
0.001 *** |
0.89 ### |
0.417 |
0.004 ** |
0.77 ## |
0.133 |
| S1_SG | 0.028 * |
0.43 # |
0.143 | 0.061 | 0.41 # |
0.176 | 0.009 ** |
0.44 # |
0.489 |
| S2_TG | 0.001 *** |
1.45 ### |
0.079 | 0.001 *** |
0.68 ## |
0.174 | 0.062 |
0.68 ## |
0.479 |
| S2_SG | 0.037 * |
0.45 # |
0.432 | 0.315 | 0.15 | 0.386 | 0.077 | 0.24 # |
0.500 |
| S3_TG | 0.001 *** |
0.42 # |
0.352 | 0.001 *** |
0.89 ### |
0.225 | 0.011 * |
0.73 ## |
0.048 * |
| S3_SG | 0.409 |
0.17 |
0.245 | 0.215 | 0.27 # |
0.248 | 0.112 | 0.29 # |
0.446 |
| S4_TG | 0.014 * |
0.93 ### |
0.225 | 0.043 * |
0.78 ## |
0.388 | 0.079 | 0.45 # |
0.481 |
| S4_SG | 0.002 ** |
1.11 ### |
0.199 | 0.067 | 0.71 ## |
0.398 | 0.079 | 0.54 ## |
0.152 |
| S5_TG | 0.005 ** |
1.49 ### |
0.089 | 0.165 | 0.42 # |
0.200 | 0.047 * |
0.54 ## |
0.324 |
| S5_SG | 0.012 * |
0.73 ## |
0.487 | 0.014 * |
0.44 # |
0.353 | 0.035 * |
0.74 ## |
0.436 |
| S6_TG | 0.256 | 0.28 # |
0.396 | 0.047 * |
0.79 ## |
0.394 | 0.245 |
0.05 | 0.266 |
| S6_SG | 0.062 | 0.38 # |
0.378 | 0.014 * |
0.79 ## |
0.084 | 0.185 | 0.83 ### |
0.134 |
| S7_TG | 0.000 *** |
1.20 ### |
0.391 | 0.013 ** |
0.81 ### |
0.214 | 0.134 | 0.20 # |
0.493 |
| S7_SG | 0.119 | 0.31 # |
0.328 | 0.124 | 0.28 # |
0.388 | 0.147 | 0.31 # |
0.395 |
| S8_TG | 0.010 ** |
0.54 ## |
0.470 | 0.001 *** |
0.99 ### |
0.405 | 0.020 * |
0.52 ## |
0.487 |
| S8_SG | 0.000 *** |
0.79 ## |
0.490 | 0.016 * |
0.60 ## |
0.330 | 0.056 | 0.44 # |
0.467 |
| ID | Mean changes | € per person, annual | |||
| STAI-S | POMS-esteem | POMS-TMD | €20,000/QALY | €50,000/QALY | |
| S1_TG | -8.5 | 2.2 | -6.9 | 4967 (95% C.I. 2832 to 8839, pCEAC = 1.0) |
12,418 (95% C.I. 7080 to 22,098, pCEAC = 1.0) |
| S1_SG | -4.1 | 0.0 | -6.3 | 1537 (95% C.I. 687 to 5118, pCEAC = 1.0) |
3843 (95% C.I. 1717 to 12,794, pCEAC = 1.0) |
| S2_TG | -7.2 | 2.3 | 0.0 | 5313 (95% C.I. 2854 to 12,233, pCEAC = 1.0) |
13,283 (95% C.I. 7137 to 30,583, pCEAC = 1.0) |
| S2_SG | -2.9 | 0.0 | 0.0 | 1167 (95% C.I. 258 to 5034, pCEAC = 1.0) |
2917 (95% C.I. 645 to 12,586, pCEAC = 1.0) |
| S3_TG | -3.5 | 1.6 | -7.4 | 5438 (95% C.I. 2594 to 9050, pCEAC = 1.0) |
13,595 (95% C.I. 6485 to 22,625, pCEAC = 1.0) |
| S3_SG | 0.0 | 0.0 | 0.0 | 0(95% C.I. 0 to 11,428, pCEAC = 0.343) | 0(95% C.I. 0 to 28,569, pCEAC = 0.343) |
| S4_TG | -7.8 | 2.6 | 0.0 | 3765 (95% C.I. 1924 to 7607, pCEAC = 1.0) |
9413 (95% C.I. 4810 to 19,018, pCEAC = 1.0) |
| S4_SG | -6.4 | 0 | 0 | 5221 (95% C.I. 2447 to 9468, pCEAC = 1.0) |
13,052 (95% C.I. 6118 to 23,670, pCEAC = 1.0) |
| S5_TG | -8.2 | 0.0 | -5.8 | 2617 (95% C.I. 2061 to 6472, pCEAC = 1.0) |
6544 (95% C.I. 5153 to 16,180, pCEAC = 1.0) |
| S5_SG | -7.7 | 1.6 | -10.6 | 4588 (95% C.I. 2487 to 10,307, pCEAC = 1.0) |
11,469 (95% C.I. 6217 to 25,767, pCEAC = 1.0) |
| S6_TG | 0.0 | 1.7 | 0.0 | 2909 (95% C.I. 900 to 9225, pCEAC = 0.999) |
7274 (95% C.I. 2249 to 23,063, pCEAC = 0.999) |
| S6_SG | 0.0 | 2.4 | 0.0 | 3386 (95% C.I. 1771 to 10,765, pCEAC = 1.0) |
8467 (95% C.I. 4427 to 26,913, pCEAC = 1.0) |
| S7_TG | -6.2 | 2.4 | 0.0 | 3678 (95% C.I. 2168 to 7574, pCEAC = 1.0) |
9195 (95% C.I. 5419 to 18,935, pCEAC = 1.0) |
| S7_SG | 0.0 | 0.0 | 0.0 | 0(95% C.I. 0 to 4605, pCEAC = 0.351) | 0(95% C.I. 0 to 11,512, pCEAC = 0.351) |
| S8_TG | -4.5 | 2.5 | -6.6 | 4386 (95% C.I. 2634 to 7071, pCEAC = 1.0) |
10965 (95% C.I. 6584 to 17,676, pCEAC = 1.0) |
| S8_SG | -5.8 | 1.6 | 0.0 | 3802 (95% C.I. 2409 to 6116, pCEAC = 1.0) |
9504 (95% C.I. 6021 to 15,291, pCEAC = 1.0) |
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