the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Spatial patterns in second-order impacts of human activity on climate, land and water
Abstract. In order to assess the full systemic impact of anthropogenic pressures on climate and land, it is crucial to account for second-order impacts mediated by bio-geophysical processes, which typically display a high spatial heterogeneity. In this study, we systematically compare different clustering approaches to capture uni- and multivariate spatial patterns in second-order impacts of human activity on climate, land, and water. In a first step, we estimate effect sizes based on simulations from a spatial global vegetation model. In a second step, we approach the question of suitable spatial clustering. Following a top-down approach first, we map the global pattern of second-order impacts on common natural partitions of the Earth, like climate- or vegetation-zones. Cluster validity indices reveal a close alignment between the second-order impacts of land use change on climate and a biogeographic classification. In contrast, the second-order impacts of climate- and land use change on surface water runoff are best captured by the Köppen-Geiger climate zones. Following a bottom-up approach, we employ multivariate spatially constrained clustering to derive an integrative global partition. Several patches of tropical rainforest on the Indomalayan islands as well as large areas of warm grasslands in Australia are identified as high-impact clusters. The results of this study should be considered illustrative as they are based on only one dynamical vegetation model. Nevertheless, they emphasize the local nature of second-order impacts and elucidate both the potential and risks of spatial aggregation.
Competing interests: At least one of the (co-)authors serves as editor for the special issue to which this paper belongs.
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Status: final response (author comments only)
- RC1: 'Comment on egusphere-2026-3452', Anonymous Referee #1, 30 Jul 2026
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RC2: 'Comment on egusphere-2026-3452', Fabian Stenzel, 05 Aug 2026
Dear authors,
I appreciate the chance to read your present study ("Spatial patterns in second-order impacts of human activity on climate, land and water"), in which you derive 4 grid-cell based interaction strengths between climate and land-use change as drivers, and affecting runoff, carbon storage, and vegetation structure, based on existing simulations from the DGVM LPJmL. To cluster the gridded results for larger units you then apply two classes of clustering approaches. The first (“top-down”) is based on predefined spatial units such as continents or biomes, and the second (“bottom-up”) is based on analyzing the interaction strength maps with a clustering algorithm. You find that the “bottom-up” approach generally gives much better results and then use it, finding 19 clusters with strong effects in at least 2 of the 4 interaction dimensions, and 3 “high impact clusters” where even 3 out of 4 dimensions show strong effects.
The paper is situated in the analysis of regionally resolved interactions between different Earth system processes, and thus especially relevant for the planetary boundaries and tipping points frameworks, as well as more broadly studying Earth system interactions.
The paper generally reads well, and I support the publication in ESD after reviewing some aspects of it. My major comments refer to the details of the selection and description of the LPJmL simulations and their discussion, as well as the balance between different parts of the manuscript, that partially have been also raised by an anonymous reviewer (R1) before me.
1. Please give more details for the LPJmL simulations you used and discuss their limitations:
- Which specific LPJmL version did you use?
- Which land-use input did you use?
- Please mention, how you calculate the carbon storage density. I suppose it should be the sum of vegetation, soil, and litter carbon.
- Please note that using monthly climate inputs (that internally have to be distributed over the days in a month) leads to ambiguity, that can be prevented by using (more up-to-date) daily data e.g. from ISIMIP (GSWP3-W5E5) or TRENDY (CRU-JRA). This is especially relevant, since you compare the differences between runs. I am sure you have checked, that the seed with which monthly values are distributed to days is the same between runs, otherwise you have a climate effect, where you don’t expect one.
- LPJmL4.X.Y as described by Schaphoff et al. 2018 has 11 PFTs. Your text in (p.6 line 99) could be mistaken so that LPJmL4 would have 12. I believe you use barren land as land cover type 12, but strictly speaking this is not a PFT. Please also add how you calculate it, because you need separate grid cell fractions for CFTs for this (barren = 1 – sum(PFT fpc) – sum(CFT fpc).
- With LPJmLv4 instead of v5, you are missing N limitation, thus overestimating the CO2 fertilization effect.
- The sensitivity analysis using 6 more (GCM based) climate input datasets could be integrated better. Currently in the Methods (p. 5 lines 91-92) it is not clear that this is only for sensitivity tests and that the results won’t go into the main analysis.
2. Details of the clustering approaches.
What exactly are the inputs to the “bottom-up” approach? As far as I understood it, the final effect maps are also going in, so naturally much better clusters are derived than for “top-down”. Is that a fair comparison between the two cluster algorithms?
Like this it appears that the result is clear before hand, and only serves as an argument to focus on the bottom-up clustering results. This is not a problem per se, but could be stated more clearly. I would additionally suggest to shorten the analysis of the “top-down” part, if it is then discarded anyways.
At the same time, the policy implications of using dynamic and thus hard to name and locate clusters could be discussed in more detail.
3. Definition of second-order impacts
Like reviewer R1, I also believe that your current definition of “second-order impacts” based on direct and indirect effects is not sufficiently clear. The example you give rather confuses me, as I would say deforestation IS the vegetation cover change, thus zero-order, and everything that follows next would be direct or first-order impact (like runoff/ET changes).
Maybe the notion of local vs. remote effects can help you to improve the definition? I admit that for remote effects besides river discharge, LPJmL offline is not the right tool.
4. Justification of using LPJmL offline
Unlike reviewer R1, I believe that it is still worthwhile doing the analysis with LPJmL. Since the authors are using historical land-use and weather patterns, even if not directly coupled, the climate inputs includes land-atmosphere interactions to the historical land-use changes.
This is however only true for the factual wLUC simulation, and not the counterfactual noLUC simulation that uses the same climate inputs. This limitation needs to be stated clearly.
5. Definition of impacts on climate change
You chose carbon storage density changes as a metric for climate change. Since grid-cells in LPJmL are not the same size, carbon storage density changes in gC/m2 does not impact atmospheric CO2 concentrations in the same way everywhere. Secondly, the translation from carbon storage decline to atmospheric CO2 increase is certainly not linear. These limitations needs to stated more clearly.
I hope my comments (please see some additional inline comments below) can help you to further improve your study.
Best regards,
Fabian Stenzel
Potential conflict of interest: I am affiliated with SRC as a guest researcher and work in a common project together with study co-author Ingo Fetzer.
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Additional comments:
p.2 line 36: If you want to compare with different hierarchical clustering approach, aimed at reducing computational costs please see Ehret et al. 2020 (https://doi.org/10.5194/hess-24-4389-2020) or Priesner et al. 2026 (https://doi.org/10.1140/epjs/s11734-026-02526-1) who additionally compare different distance metrics.
p.4 lines 78-80: The way you define it, you are rather talking about small changes in the land use input, rather than “noise” (numerical non-deterministic behavior?) in the model.
p.8 lines 161-162: And certainly also the different methodology, by regressing values for each year instead of a 30 year average, right?
p.10 lines 191-192: Can you really draw this conclusion from the Figure (and what does “best explain” mean – “highest RS”, or per no. of clusters so “most top-left”)? It is hard to see (you also highlighted “non climate” partitions), maybe plot only 3 colors for different symbols, red for climate and blue for PFT, and orange for biome to confirm this.
p.13 lines 266-267: I don’t find this very surprising, as each PFTs parameters describe a direct relationship with climate, especially in the temperature limits and water/radiation requirements. It would be interesting to single out the climate from the CO2 effect, by increasing CO2 regularly but keeping the climate as 1901-1930 and vice versa.
Fig. 6: Some combinations are hard to distinguish, e.g. same symbol and similar color as in “climates P” and “continents biomes”. In panel B the names are offset from the boxes (which I believe) they belong to. There is no clear method for when to draw boxes, right? It appears a bit arbitrary. In general everything is very small, even when zooming in.
Fig. A8: Labels appear erroneous. “Boreal broadleaved evergreen” does not exist in LPJmL. “Temperate needleleaved evergreen” is missing.
Fig. D1A: The dashed boxes are off.
Citation: https://doi.org/10.5194/egusphere-2026-3452-RC2
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Zoller et al. investigate an important and timely question: how strong and spatially heterogeneous the indirect impacts (so-called second-order impact) of human activities on climate, land, and water are, and how these impacts can be effectively classified into spatial clusters. The authors first quantify these impacts using the LPJmL land surface model and then compare two clustering approaches: a conventional top-down approach based on predefined geographical or ecological units (e.g., continents and plant functional types) and a bottom-up approach based on spatially constrained clustering. Through multiple evaluation metrics, the authors conclude that the bottom-up clustering generally outperforms top-down approach and identify several global hotspots of high-impact clusters.
This is an ambitious and comprehensive study that addresses a challenging problem. However, the manuscript is also technically complex, and after carefully evaluating the methodology and interpretation, I have several fundamental concerns regarding the reliability of the conclusions. I hope the following comments will help improve the manuscript.
Major Comments
Minor Comments