Data Analysis (gcb-data-analysis)
GCB reviewers are quantitatively sophisticated, and because data and code are archived publicly with
a DOI (see gcb-reporting-and-data-policy), the analysis must be reproducible by a third party.
Analyze as if both are true — because they are. This skill covers execution and reporting norms; design
decisions live in gcb-study-design.
When to trigger
- Running main and supporting analyses; building the results
- Choosing the right model for nested/repeated/spatial ecological data
- Synthesizing effect sizes for a meta-analysis or evaluating a process model
- Making the analysis reproducible before deposit
Analysis norms GCB expects
- Respect the data structure. Use mixed / hierarchical models (
lme4, glmmTMB, brms, INLA)
for nested, repeated-measures, and spatially/temporally autocorrelated data; do not ignore random
effects or autocorrelation.
- Report uncertainty honestly. Effect sizes with confidence/credible intervals, not just p-values
or stars; state the magnitude and its ecological/biogeochemical meaning.
- Quantify, propagate, and partition uncertainty. For models, separate parameter, structural,
and scenario uncertainty; prefer ensembles; show measurement error where it matters.
- Meta-analysis discipline. Appropriate effect size (log response ratio, Hedges' g), random/mixed
effects, heterogeneity (I^2, tau^2), moderators pre-specified, and a publication-bias check.
- Evaluate models against observations. Report skill metrics and where the model fails, not only
where it succeeds.
- Right inference for the unit. Match the analysis to the experimental/sampling unit; avoid
pseudoreplication carrying through from design.
Reproducibility while you work (not at the end)
- One master script regenerates every table and figure from raw/constructed data.
- Set and report seeds for any stochastic step (bootstrap, MCMC, simulation, model ensembles).
- Pin software/package versions (
renv.lock, conda/requirements.txt, model version + forcing).
- Keep manuscript table/figure numbers matched to script outputs — they will be archived together.
Matching the method to the global-change question
GCB referees expect the analysis to fit the data-generating process. Use this as a routing table from
question shape to the inferential machinery a quantitatively literate reviewer will look for.
| Question shape |
Expected machinery |
What a reviewer checks |
| Effect of a manipulated driver across randomized plots |
Mixed model with plot/block random effects |
Random structure matches the design; no pseudoreplication |
| Trend in a flux time series |
Autocorrelation-aware regression / state-space |
Residual autocorrelation modelled, not ignored |
| Spatial pattern across a gradient |
Spatial random field (INLA/spaMM) |
Spatial dependence handled; CRS and area stated |
| Synthesis across many studies |
Random/mixed-effects meta-analysis |
Effect-size choice, I^2/tau^2, bias check |
| Future projection from a process model |
Multi-model ensemble |
Structural + parameter + scenario spread shown |
Worked micro-example (illustrative)
A warming-experiment meta-analysis pools log response ratios (lnRR) of aboveground biomass from 64
studies. A defensible GCB workflow: fit a random-effects model, report the pooled lnRR back-transformed
to a percentage with its interval, and quantify heterogeneity. Illustrative output — pooled lnRR 0.12,
i.e. a +13% biomass response (95% CI 6–20%), I^2 = 71% with tau^2 = 0.04, and a moderator showing the
effect halves in water-limited sites. The funnel plot and trim-and-fill leave the sign unchanged. The
71% heterogeneity is the result, not noise: it motivates the moisture moderator. All numbers illustrative.
Referee pushback patterns and the GCB-appropriate fix
- "Pseudoreplication: chamber treated as replicate" → move the treatment effect to a random-effect or
split-plot structure at the true unit of inference.
- "Heterogeneity ignored in the synthesis" → report I^2/tau^2 and pre-specified moderators, not a single
pooled mean.
- "Projection has no uncertainty band" → run an ensemble and partition parameter, structural, and
scenario spread rather than reporting one trajectory.
- "Skill claimed but never tested out-of-sample" → report validation against held-out observations and
the conditions where the model fails.
Anti-patterns
- Treating nested/repeated/spatial data as independent observations
- Stars-only results with no effect sizes, intervals, or ecological magnitude
- A single model run reported as if it had no structural or scenario uncertainty
- A meta-analysis with no heterogeneity or publication-bias assessment
- Code that cannot reproduce the printed tables/figures ("works on my machine")
Output format
【Main estimate】effect size + interval + ecological/biogeochemical meaning
【Data structure】random effects / autocorrelation handled? [Y/N]
【Uncertainty】measurement + parameter + structural + scenario partitioned?
【Model evaluation / heterogeneity】skill metrics or I^2 reported?
【Reproducible】master script + seeds + pinned versions? [Y/N]
【Next】gcb-figures-and-tables
Supplementary resources
1---2name: gcb-data-analysis3description: Use when executing and reporting the analysis for a Global Change Biology (GCB) manuscript — mixed/hierarchical models, time-series and spatial analysis, meta-analysis, and model evaluation with honest uncertainty. GCB reviewers and data archiving demand reproducible, well-quantified inference. Guides analysis norms; it does not fabricate results.4---56# Data Analysis (gcb-data-analysis)78GCB reviewers are quantitatively sophisticated, and because **data and code are archived publicly with9a DOI** (see `gcb-reporting-and-data-policy`), the analysis must be reproducible by a third party.10Analyze as if both are true — because they are. This skill covers execution and reporting norms; design11decisions live in `gcb-study-design`.1213## When to trigger1415- Running main and supporting analyses; building the results16- Choosing the right model for nested/repeated/spatial ecological data17- Synthesizing effect sizes for a meta-analysis or evaluating a process model18- Making the analysis reproducible before deposit1920## Analysis norms GCB expects21221. **Respect the data structure.** Use mixed / hierarchical models (`lme4`, `glmmTMB`, `brms`, `INLA`)23 for nested, repeated-measures, and spatially/temporally autocorrelated data; do not ignore random24 effects or autocorrelation.252. **Report uncertainty honestly.** Effect sizes with confidence/credible intervals, not just p-values26 or stars; state the magnitude and its ecological/biogeochemical meaning.273. **Quantify, propagate, and partition uncertainty.** For models, separate **parameter, structural,28 and scenario** uncertainty; prefer **ensembles**; show measurement error where it matters.294. **Meta-analysis discipline.** Appropriate effect size (log response ratio, Hedges' g), random/mixed30 effects, heterogeneity (I^2, tau^2), moderators pre-specified, and a publication-bias check.315. **Evaluate models against observations.** Report skill metrics and where the model fails, not only32 where it succeeds.336. **Right inference for the unit.** Match the analysis to the experimental/sampling unit; avoid34 pseudoreplication carrying through from design.3536## Reproducibility while you work (not at the end)37- One **master script** regenerates every table and figure from raw/constructed data.38- **Set and report seeds** for any stochastic step (bootstrap, MCMC, simulation, model ensembles).39- Pin software/package versions (`renv.lock`, `conda`/`requirements.txt`, model version + forcing).40- Keep manuscript table/figure numbers matched to script outputs — they will be archived together.4142## Matching the method to the global-change question4344GCB referees expect the analysis to fit the data-generating process. Use this as a routing table from45question shape to the inferential machinery a quantitatively literate reviewer will look for.4647| Question shape | Expected machinery | What a reviewer checks |48|----------------|--------------------|------------------------|49| Effect of a manipulated driver across randomized plots | Mixed model with plot/block random effects | Random structure matches the design; no pseudoreplication |50| Trend in a flux time series | Autocorrelation-aware regression / state-space | Residual autocorrelation modelled, not ignored |51| Spatial pattern across a gradient | Spatial random field (INLA/`spaMM`) | Spatial dependence handled; CRS and area stated |52| Synthesis across many studies | Random/mixed-effects meta-analysis | Effect-size choice, I^2/tau^2, bias check |53| Future projection from a process model | Multi-model ensemble | Structural + parameter + scenario spread shown |5455## Worked micro-example (illustrative)5657A warming-experiment meta-analysis pools log response ratios (lnRR) of aboveground biomass from 6458studies. A defensible GCB workflow: fit a random-effects model, report the pooled lnRR back-transformed59to a percentage with its interval, and quantify heterogeneity. Illustrative output — pooled lnRR 0.12,60i.e. a +13% biomass response (95% CI 6–20%), I^2 = 71% with tau^2 = 0.04, and a moderator showing the61effect halves in water-limited sites. The funnel plot and trim-and-fill leave the sign unchanged. The6271% heterogeneity is the result, not noise: it motivates the moisture moderator. All numbers illustrative.6364## Referee pushback patterns and the GCB-appropriate fix6566- "Pseudoreplication: chamber treated as replicate" → move the treatment effect to a random-effect or67 split-plot structure at the true unit of inference.68- "Heterogeneity ignored in the synthesis" → report I^2/tau^2 and pre-specified moderators, not a single69 pooled mean.70- "Projection has no uncertainty band" → run an ensemble and partition parameter, structural, and71 scenario spread rather than reporting one trajectory.72- "Skill claimed but never tested out-of-sample" → report validation against held-out observations and73 the conditions where the model fails.7475## Anti-patterns7677- Treating nested/repeated/spatial data as independent observations78- Stars-only results with no effect sizes, intervals, or ecological magnitude79- A single model run reported as if it had no structural or scenario uncertainty80- A meta-analysis with no heterogeneity or publication-bias assessment81- Code that cannot reproduce the printed tables/figures ("works on my machine")8283## Output format8485```86【Main estimate】effect size + interval + ecological/biogeochemical meaning87【Data structure】random effects / autocorrelation handled? [Y/N]88【Uncertainty】measurement + parameter + structural + scenario partitioned?89【Model evaluation / heterogeneity】skill metrics or I^2 reported?90【Reproducible】master script + seeds + pinned versions? [Y/N]91【Next】gcb-figures-and-tables92```9394## Supplementary resources9596- [`../../resources/external_tools.md`](../../resources/external_tools.md) — mixed-model, meta-analysis, spatial, and modelling packages97- [`../../resources/official-source-map.md`](../../resources/official-source-map.md) — data/code archiving policy