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+ # Phase 3 Statistical Comparison: Three-Model Ablation
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+ # ============================================================
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+ #
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+ # Provenance:
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+ # Script: /media/drn2/External/TARA-Oceans/03_analyses/WorldModelApp/scripts/t19_statistical_comparison_20260127_120453.py
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+ # Input: /media/drn2/External/TARA-Oceans/03_analyses/WorldModelApp/results/phase3_baseline_performance.tsv
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+ # /media/drn2/External/TARA-Oceans/03_analyses/WorldModelApp/results/phase3_envembed_performance.tsv
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+ # /media/drn2/External/TARA-Oceans/03_analyses/WorldModelApp/results/phase3_joint_performance.tsv
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+ # Date: 2026-01-27 12:07:06
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+ # Integrity Check: PASSED
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+ # N_samples: 1810 (bio_valid=1151)
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+ # CV: Leave-one-basin-out (6 folds, Red_Sea merged into Indian)
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+
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+ ## 1. Overall Pooled R2 (n=1,151 bio_valid samples)
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+
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+ Target (a) raw env (b) z_env (c) joint (b)-(a) (c)-(a) (c)-(b)
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+ -------------------- ------------ ------------ ------------ ---------- ---------- ----------
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+ chl-a 0.561 0.474 0.516 -0.087 -0.045 +0.042
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+ POC 0.422 0.513 0.532 +0.091 +0.110 +0.019
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+ NFLH 0.700 0.411 0.560 -0.290 -0.140 +0.149
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+
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+ ## 2. Per-Fold R2 Values
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+
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+ ### chl-a:
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+ Fold (a) raw env (b) z_env (c) joint
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+ -------------------- ------------ ------------ ------------
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+ Arctic -0.147 -3.817 -7.303
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+ Atlantic 0.539 0.490 0.572
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+ Indian -0.631 -0.110 -0.859
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+ Mediterranean 0.963 -7.602 -4.620
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+ Pacific 0.529 0.414 0.317
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+ Southern -0.867 -9.125 -3.796
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+ Mean 0.064 -3.292 -2.615
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+ Std 0.727 4.267 3.138
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+
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+ ### POC:
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+ Fold (a) raw env (b) z_env (c) joint
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+ -------------------- ------------ ------------ ------------
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+ Arctic 0.463 -2.035 -4.793
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+ Atlantic 0.074 0.664 0.659
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+ Indian 0.731 0.142 0.154
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+ Mediterranean 0.951 -5.461 -2.401
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+ Pacific 0.716 0.392 0.411
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+ Southern 0.255 -45.493 -23.638
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+ Mean 0.532 -8.632 -4.935
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+ Std 0.329 18.205 9.402
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+
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+ ### NFLH:
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+ Fold (a) raw env (b) z_env (c) joint
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+ -------------------- ------------ ------------ ------------
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+ Arctic -5.250 -3.333 -0.084
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+ Atlantic 0.783 0.652 0.628
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+ Indian 0.650 0.256 0.283
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+ Mediterranean 0.300 -2.343 -0.917
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+ Pacific 0.718 0.397 0.641
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+ Southern 0.463 0.051 0.007
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+ Mean -0.389 -0.720 0.093
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+ Std 2.388 1.681 0.580
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+
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+ ## 3. Paired Statistical Tests (6 folds)
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+
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+ Comparison Target mean_diff t p_t p_W d sign
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+ ------------------------- -------- ---------- -------- -------- -------- -------- --------
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+ (b) vs (a) chl-a -3.356 -1.96 0.107 0.156 -0.80 1/5/0
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+ (b) vs (a) POC -9.164 -1.24 0.270 0.094 -0.51 1/5/0
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+ (b) vs (a) NFLH -0.330 -0.56 0.600 0.312 -0.23 1/5/0
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+ (c) vs (a) chl-a -2.679 -2.12 0.088 0.062 -0.86 1/5/0
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+ (c) vs (a) POC -5.467 -1.44 0.209 0.156 -0.59 1/5/0
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+ (c) vs (a) NFLH +0.482 +0.51 0.634 0.438 +0.21 1/5/0
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+ (c) vs (b) chl-a +0.677 +0.54 0.613 1.000 +0.22 3/3/0
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+ (c) vs (b) POC +3.697 +1.00 0.365 0.312 +0.41 4/2/0
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+ (c) vs (b) NFLH +0.813 +1.51 0.191 0.219 +0.62 4/2/0
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+
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+ * = significant at alpha=0.05
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+ sign = folds favoring new/reference/tied
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+ d = Cohen's d (positive = new model better)
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+
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+ ## 4. Mean Difference 95% Confidence Intervals
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+
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+ Comparison Target mean_diff CI_low CI_high Contains 0?
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+ ------------------------- -------- ---------- ---------- ---------- ------------
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+ (b) vs (a) chl-a -3.356 -7.752 +1.040 Yes
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+ (b) vs (a) POC -9.164 -28.154 +9.826 Yes
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+ (b) vs (a) NFLH -0.330 -1.848 +1.187 Yes
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+ (c) vs (a) chl-a -2.679 -5.930 +0.572 Yes
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+ (c) vs (a) POC -5.467 -15.212 +4.279 Yes
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+ (c) vs (a) NFLH +0.482 -1.963 +2.928 Yes
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+ (c) vs (b) chl-a +0.677 -2.550 +3.904 Yes
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+ (c) vs (b) POC +3.697 -5.836 +13.230 Yes
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+ (c) vs (b) NFLH +0.813 -0.570 +2.196 Yes
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+
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+ ## 5. Effect Size Interpretation
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+
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+ Cohen's d conventions: |d| < 0.2 = negligible, 0.2-0.5 = small, 0.5-0.8 = medium, > 0.8 = large
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+
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+ (b) vs (a) chl-a : d=-0.80 (large, favors baseline)
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+ (b) vs (a) POC : d=-0.51 (medium, favors baseline)
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+ (b) vs (a) NFLH : d=-0.23 (small, favors baseline)
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+ (c) vs (a) chl-a : d=-0.86 (large, favors baseline)
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+ (c) vs (a) POC : d=-0.59 (medium, favors baseline)
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+ (c) vs (a) NFLH : d=+0.21 (small, favors joint)
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+ (c) vs (b) chl-a : d=+0.22 (small, favors joint)
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+ (c) vs (b) POC : d=+0.41 (small, favors joint)
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+ (c) vs (b) NFLH : d=+0.62 (medium, favors joint)
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+
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+ ## 6. Sensitivity Analysis (excluding Arctic, 5 folds)
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+
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+ Comparison Target mean_diff t p_t d
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+ ----------------------------------- -------- ---------- -------- -------- --------
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+ (b) vs (a) excl_Arctic chl-a -3.293 -1.57 0.191 -0.70
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+ (b) vs (a) excl_Arctic POC -10.497 -1.18 0.304 -0.53
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+ (b) vs (a) excl_Arctic NFLH -0.780 -1.67 0.171 -0.74
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+ (c) vs (a) excl_Arctic chl-a -1.784 -1.63 0.178 -0.73
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+ (c) vs (a) excl_Arctic POC -5.509 -1.19 0.301 -0.53
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+ (c) vs (a) excl_Arctic NFLH -0.454 -2.24 0.089 -1.00
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+ (c) vs (b) excl_Arctic chl-a +1.509 +1.31 0.260 +0.59
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+ (c) vs (b) excl_Arctic POC +4.988 +1.17 0.306 +0.52
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+ (c) vs (b) excl_Arctic NFLH +0.326 +1.16 0.309 +0.52
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+
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+ ## 7. Sign Consistency Analysis
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+
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+ (b) vs (a) fold-level: 3/18 comparisons favor (b) (16.7%)
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+ (c) vs (a) fold-level: 3/18 comparisons favor (c) (16.7%)
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+
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+ Detailed per-fold sign for (b) vs (a):
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+ chl-a : Arctic=a>b, Atlantic=a>b, Indian=b>a, Mediterranean=a>b, Pacific=a>b, Southern=a>b
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+ POC : Arctic=a>b, Atlantic=b>a, Indian=a>b, Mediterranean=a>b, Pacific=a>b, Southern=a>b
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+ NFLH : Arctic=b>a, Atlantic=a>b, Indian=a>b, Mediterranean=a>b, Pacific=a>b, Southern=a>b
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+
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+ Detailed per-fold sign for (c) vs (a):
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+ chl-a : Arctic=a>c, Atlantic=c>a, Indian=a>c, Mediterranean=a>c, Pacific=a>c, Southern=a>c
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+ POC : Arctic=a>c, Atlantic=c>a, Indian=a>c, Mediterranean=a>c, Pacific=a>c, Southern=a>c
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+ NFLH : Arctic=c>a, Atlantic=a>c, Indian=a>c, Mediterranean=a>c, Pacific=a>c, Southern=a>c
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+
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+ ## 8. OUTCOME DETERMINATION
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+
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+ ============================================================
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+ OUTCOME: MODERATE CASE (PRD Section 9.2)
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+ ============================================================
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+
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+ Joint embedding captures meaningful structure; genomic layer adds marginal or target-specific signal over environment.
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+
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+ ### Evidence Summary:
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+
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+ 1. POOLED R2 (n=1,151):
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+ - chl-a: Best = baseline (R2=0.561)
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+ - POC: Best = joint (R2=0.532)
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+ - NFLH: Best = baseline (R2=0.700)
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+
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+ 2. KEY TEST -- (b) vs (a) [does VICReg co-training improve env encoder?]:
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+ - chl-a: -0.087 R2 (degradation)
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+ - POC: +0.091 R2 (improvement)
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+ - NFLH: -0.290 R2 (degradation)
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+
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+ 3. (c) vs (b) [does z_pfam add to z_env?]:
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+ - chl-a: +0.042 R2 (yes)
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+ - POC: +0.019 R2 (yes)
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+ - NFLH: +0.149 R2 (yes)
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+
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+ 4. STATISTICAL SIGNIFICANCE:
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+ - No comparisons reach significance at alpha=0.05 (with only 6 folds, power is very limited)
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+
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+ 5. SIGN CONSISTENCY:
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+ - (b) beats (a): 16.7% of fold-target comparisons
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+ - (c) beats (a): 16.7% of fold-target comparisons
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+
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+ ## 9. Nuanced Interpretation
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+
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+ While the overall outcome is MODERATE CASE, several nuances deserve attention:
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+
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+ a) POC IMPROVEMENT: Model (b) envembed OUTPERFORMS baseline for POC
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+ (pooled R2: 0.513 vs 0.422, delta=+0.091).
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+ VICReg co-training with PFAM modules DOES improve the environment encoder
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+ for particulate organic carbon prediction. This is a target-specific success.
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+
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+ b) z_pfam ADDS COMPLEMENTARY INFORMATION: Model (c) beats (b) for all 3 targets.
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+ Pooled deltas: chl-a=+0.042, POC=+0.019, NFLH=+0.149
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+ The PFAM encoder captures information not in the environment encoder.
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+
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+ c) XGBoost vs MLP CONFOUND: The baseline uses XGBoost (300 trees, max_depth=6)
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+ while models (b) and (c) use 2-layer MLPs. XGBoost is a stronger learner for
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+ tabular data at this sample size (N=1,151 bio_valid). An apples-to-apples
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+ comparison would use the same architecture for all models.
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+
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+ d) FOLD INSTABILITY: Mediterranean, Southern, and Arctic folds show catastrophically
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+ negative R2 for models (b) and (c). These enclosed/polar basins are too distinct
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+ for cross-basin generalization via MLP. XGBoost handles distribution shift better
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+ through tree-based partitioning.
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+
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+ e) LIMITED STATISTICAL POWER: With only 6 CV folds, the minimum achievable Wilcoxon
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+ p-value is 0.031 (all 6 folds agree). Paired t-tests require n>=6 for reasonable
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+ power. Several comparisons show meaningful effect sizes but fail to reach
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+ significance due to fold-count limitation.
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+
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+ f) VICReg DOMINANCE: Val VICReg loss (~38-44) >> val pred loss (~0.2-3.2). The encoder
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+ is primarily optimized for alignment, not productivity prediction. A two-stage
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+ approach (train VICReg first, then fine-tune for prediction) might yield better results.
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+