Main

The Cretaceous–Paleogene (K–Pg) boundary (66 Ma) is marked by a mass extinction event1 that altered Earth’s terrestrial and marine biosphere profoundly. Both the emplacement of the Deccan Trap8 and the Chicxulub asteroid impact on the Yucatán carbonate platform were recognized as the potential drivers of this mass extinction. However, overwhelming evidence supports the latter triggering the marine extinction through abrupt environmental changes9,10. The bolide impact and associated wildfires released silicate dust, soot and sulfur aerosols into the atmosphere9, blocking solar radiation and causing the reduction of light and global cooling11. Simultaneously, global wildfires and the vaporization of carbonate-rich target rock increased CO2 concentrations by approximately 700 ppm across K–Pg12.

Despite advances in reconstructing the sequence of events across the K–Pg boundary, it is still unclear how environmental changes caused observed extinction patterns13. In the ocean, nearly all nannoplankton, planktic foraminifera, all rudist bivalve and ammonoid cephalopod molluscs went extinct14,15,16. By contrast, dinoflagellates, diatoms, radiolarians and benthic foraminifera were less affected17,18. Notably, high-latitude nannoplankton7, particularly in the Southern Ocean, have exhibited lower extinction rates than their low-latitude counterparts, and a similar pattern might exist for planktic foraminifera19. However, Northern Hemisphere high-latitude data remain limited7 and such a latitude-dependent extinction was not found in molluscs20. Furthermore, surviving nannoplankton and foraminifera were small and opportunistic4,21, with similar size reductions found in other marine organisms22.

Several hypotheses have been proposed to explain these ecological and geographical selective extinction patterns across the K–Pg boundary. Alvarez and colleagues23 suggested a dramatic loss of marine primary production due to reduced solar radiation, leading to a cascading trophic collapse. However, subsequent observations show that the reduction in productivity across the K–Pg was relatively modest24 and spatially heterogeneous25. The basin-dependent productivity change across the K–Pg also does not match the latitude-dependent extinction25. Instead, ocean acidification might have contributed to the higher extinction rate of calcifying organisms compared with silicifying organisms26. However, ocean acidification at the K–Pg was limited12 compared with other geological events27, similar to the Paleocene-Eocene Thermal Maximum where comparable acidification levels did not result in a global extinction of calcifiers28. These studies show that a mechanistic understanding is still lacking to reconcile the ecological and geographical selectivity observed in the fossil record of the K–Pg extinction.

Mechanistic ecosystem and biogeochemical models within Earth system models provide a powerful tool for linking K–Pg environmental changes to marine plankton dynamics. However, existing marine biogeochemical models do not simulate mass extinction explicitly, as these models focus typically on biogeochemical cycling and allow plankton populations to recover immediately under favourable conditions, even from extremely low biomass levels, which could obscure true extinction4,29. Furthermore, extinction thresholds for different marine groups remain poorly constrained30, hindering the reproduction and consequent investigation of observed patterns of extinction selectivity.

Body size is recognized widely as a master trait that shapes organism biology and strongly influences extinction thresholds of marine organisms in the Phanerozoic31. Larger organisms tend to be more vulnerable during mass extinctions due to their higher energy demands, lower population density and slower mass-specific metabolic rates32,33. This suggests that body size-dependent extinction thresholds could provide a mechanistic link between climate change, plankton ecology and extinction risk, yet these are not explored for the end-Cretaceous crisis.

Here we use a size-based mechanistic ecosystem model (EcoGENIE) to investigate the causes of observed extinction patterns in plankton communities across the K–Pg. EcoGENIE resolves size-dependent plankton ecophysiological processes explicitly within a three-dimensional ocean circulation and biogeochemistry framework (Supplementary Fig. 1). To overcome limitations of previous modelling approaches, we implement an extinction mechanism in EcoGENIE based on a size-dependent biomass threshold, defined as the biomass of a single individual of a given size. Larger plankton thus have higher biomass threshold and higher extinction vulnerability. We initialize the model with a diverse plankton community (32 phytoplankton, 32 generic zooplankton, 32 mixotrophs and 16 foraminifera functional types across size classes; Supplementary Table 1)34,35. This model allows environmental conditions to select which Late Cretaceous plankton functional types to go extinct in response to K–Pg environmental changes (Fig. 1). Such an approach enables us to examine extinction selectivity across the entire plankton community, including those without mineralized shells and hence absent from the fossil record. Furthermore, the explicit inclusion of planktic foraminifera within the zooplankton group offers an opportunity to validate model results directly against fossil data.

Fig. 1: Modelled plankton extinction selectivity in response to K–Pg climate changes.
Fig. 1: Modelled plankton extinction selectivity in response to K–Pg climate changes.
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a,b, PFT richness before (a) and after (b) the K–Pg impact. c, Percentage of plankton survivors. d, Diversity of various PFTs before and after the K–Pg impact; this excludes the Arctic Ocean, which the model does not represent due to limited grid resolution. e, Size distribution across all existing plankton types before and after impact. Dashed vertical lines represent 2, 20 and 200 µm. Note that the colour scale varies between a, b and c to highlight geographical patterns.

Late Cretaceous climate and diversity

We applied the cGENIE model to a Late Cretaceous climate state (834 ppm CO2) and paleogeographic configuration (Supplementary Fig. 2 and Methods). The spin-up simulation produced a global mean sea surface temperature of around 26.4 °C, closely matching the latest data compilation based on TEX86 and δ18O proxies36 (Extended Data Fig. 1). The modelled deep-water temperature (deeper than 2,000 m) and surface pH are 9.3 °C and 7.7, respectively, both in line with Late Cretaceous oxygen and boron isotope estimates (9 °C and 7.7–7.8 pH units)12,37. In contrast to other models29,38, cGENIE succeeds in simulating a reduced equator-to-pole temperature gradient, in agreement with proxy data. Hence, it provides a realistic climatic environment to test extinction selectivity.

In the spin-up experiment, 99 plankton functional types survived, representing around 88% of the initial community. The emergent plankton diversity (defined as the coexisting number of plankton functional types) was highest in equatorial and coastal upwelling regions and at high latitudes (Fig. 1a). This spatial pattern aligns with the theory that the number of supported plankton size classes increases with nutrient supply rate39, which captures modern plankton observations successfully40. Therefore, although fossil data are spatially incomplete and biased towards groups with tests or shells, our model provides a plausible estimate of global plankton functional diversity in the Late Cretaceous.

Modelling the K–Pg extinction

We then perturbed the Late Cretaceous baseline simulation for 100 years following the impact, using a 7.30-h timestep for ecosystem dynamics. Three K–Pg climatic forcings derived from previous studies11,12 were applied to ensure consistency (Supplementary Information): (1) a CO2 pulse of 700 ppm, based on boron isotope data from foraminifers12; (2) a reduction in solar radiation (Extended Data Fig. 2); and (3) an ejecta-derived nutrient (iron and phosphorus) flux (Extended Data Fig. 3). The CO2 perturbation affects both climate and seawater carbonate chemistry (for example, pH); however, we note that potential acidification impacts on plankton are missing as the model does not incorporate directly the effect of pH on plankton physiology and biomineralization (Methods). The solar radiation forcing follows estimates from Senel and colleagues11, which combined sedimentological evidence with a climate model capturing the effects of sulfur, soot and silicate dust. The projectile-derived nutrient flux and distribution were re-gridded from a previous modelling study29, with peak deposition concentrated near the Chicxulub impact site.

The transient experiment shows that global annual mean sea surface temperature dropped from 26.4 °C to a minimum of 12.3 °C within the first 3 years post-impact (Fig. 2 and Extended Data Fig. 4). Recovery to pre-impact temperatures took around 30 years, resulting in a prolonged global impact winter, despite an intense CO2 release (1,750 Pg C; Fig. 2a). This abrupt cooling nearly eliminated the vertical seawater density gradient (Supplementary Fig. 3), leading to the global mean ocean mixed layer depth (MLD) deepening dramatically to 750 m after 2 years (Fig. 2c). Such a loss of a stratified ocean would have impacted the vertical niche separation of plankton dramatically. The deepest mixed layer occurs at approximately 60° N/S, similar to results from a more complex ocean model41 (Supplementary Fig. 4). This increased vertical mixing, combined with enhanced dust-derived nutrient fluxes, led to a substantial rise in surface nutrient availability (Fig. 2d), with modelled PO4 concentrations increasing by 17 times within the first 2 years following the impact (from 0.07 to 1.2 μmol P kg−1).

Fig. 2: Ocean environmental and plankton community responses to abrupt K–Pg climate change within a century (100 years) of the Chicxulub impact.
Fig. 2: Ocean environmental and plankton community responses to abrupt K–Pg climate change within a century (100 years) of the Chicxulub impact.
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a, Global mean surface ocean temperature. b, Global mean insolation. c, Global mean MLD. d, Ice-free global mean phosphate concentration. e, Global mean ocean surface pH. f, Global coexisting PFTs. g, Total marine annual primary productivity. h, Annual particular carbon export (at 80.8 m). POC, particulate organic carbon. i, δ13C difference between surface (80.8 m) and benthic (deeper than 2,000 m) layers. Shaded areas, pre-impact Cretaceous.

In response to environmental changes, the model shows strong extinction selectivity, with a 78% loss of plankton functional types (PFTs; Fig. 2f) and a consequent 99.5% reduction in global primary production and carbon export (Fig. 2g,h). Only small-sized plankton (less than or equal to 2.5 μm) survived, particularly in the high latitudes (Fig. 1b,c). Extinction magnitude also varied across plankton functional types (Fig. 1d), with foraminifera experiencing complete extinction (100%), followed by other zooplankton (84%), with the lowest rates in mixotrophs (69%) and phytoplankton (65%). Although the model resolves functional diversity rather than taxonomic diversity, these results reproduce the extinction severity observed in the fossil records7,19,21 and the collapse in CaCO3 flux export13. The simulated extinction ratio of planktic foraminifera and nannoplankton is slightly overestimated, probably due to the lack of coastal/neritic trait in the model. The preferential survival of small plankton at high latitudes also agrees with the fossil record4,5 (Extended Data Fig. 5). Crucially, these results appear in the model only when extinction thresholds scale with body size. Simulations using uniform thresholds across all plankton types fail to reproduce the observed extinction-selectivity patterns (Extended Data Fig. 6). These findings demonstrate the key role of body size in determining the extinction pattern of marine plankton ecosystems across the K–Pg boundary.

Despite the simulated loss in functional diversity, plankton biomass and export production recovered rapidly with the return of light, causing a global plankton bloom (Fig. 2g,h). This bloom is driven primarily by mixotrophs, which outcompeted phytoplankton (Extended Data Fig. 5), even though the model assumes their photosynthesis and grazing efficiency to be 70% lower than those of specialized autotrophs or heterotrophs. This rapid resurgence in productivity and community structure change within years of the K–Pg boundary are in line with organic biomarker records5,8,42 and sedimentary evidence5, indicating that cyanobacteria outcompeted other eukaryotic phytoplankton in the earliest Danian6,42,43,44.

The collapse of plankton size structure reduces the biological pump efficiency by 30% in the model (Supplementary Information), resulting in greater nutrient retention in the upper ocean than pre-impact conditions (Extended Data Fig. 7). However, we do not observe the primary and export production overshoot reported by Brugger and colleagues29. We attribute this difference to the lack of explicit plankton extinction mechanism in their model, as EcoGENIE showed a similar productivity overshoot when the newly introduced plankton extinction mechanism is disabled (Supplementary Information and Extended Data Fig. 7).

EcoGENIE also compares well with carbon cycle proxies. The model reproduces the carbon isotope record of the Late Cretaceous (Supplementary Fig. 5) and captures a K–Pg carbon isotope excursion of similar magnitude to that seen in the δ13C proxy data10 (Extended Data Fig. 8). Henehan and colleagues12 combined carbon isotope and pH data to constrain the post-extinction carbon export production level to 50% of the pre-impact level. This is close to our result of 61% based on a dynamic plankton model. Finally, the model suggests an increase of benthic alkalinity (deeper than 2,000 m) after the K–Pg (Extended Data Fig. 9), which aligns with the observed high foraminifera preservation and low fragmentation in the early Danian45. These agreements with multi-faceted K–Pg observations further confirm the validity of our transient K–Pg extinction experiments.

Drivers of selective extinction

The overall model–data agreements allow us to explore the climatic drivers of the K–Pg extinction in detail. Specifically, we ran sensitivity experiments isolating the impacts of solar radiation and CO2 forcing to evaluate their individual contributions (Fig. 3). The results show that solar radiation alone reproduces most of the extinction patterns present in the combined forcing experiment, whereas CO2 forcing has a negligible impact despite a pronounced emission rate. This indicates the primary role of reduced solar radiation in causing the K–Pg extinction. However, we acknowledge that our model may underestimate the overall impact of volatile gas due to the lack of an explicit mechanistic calcification process and sulfuric and nitric acids46.

Fig. 3: Breakdown of the drivers of K–Pg extinction patterns.
Fig. 3: Breakdown of the drivers of K–Pg extinction patterns.
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ac, Extinction intensity (main result (a), solar forcing (b) and CO2 forcing (c)) is measured by the ratio of extinct PFTs to the pre-impact plankton diversity. d,e, Subplots further disentangle the light (d) and temperature (e) effects from solar radiation change by forcing the plankton ecosystem with unchanged sea surface temperature (light effect only) and PAR (temperature effect only). These figures show that light was the ultimate driver of K–Pg extinction.

The influences of solar radiation change on plankton responses are multi-dimensional, affecting temperature, light availability and ocean mixing through changes in the density of the ocean. To further understand the contributions of these different factors, we first forced the whole plankton community with a constant pre-impact annual mean sea surface temperature while keeping other parameters the same, exploring the impacts of the global winter. Against expectations, temperature had a limited impact on extinction patterns (Fig. 3e), despite temperature’s exponential effect on growth rates47 and the well-documented correlation between temperature change and extinction risk31. By contrast, when the plankton community was forced with pre-impact photosynthetic activity radiation (PAR), pre-K–Pg plankton diversity was sustained except in high latitudes such as the Southern Ocean and North Pacific, where temperature change also contributed to extinction. This result indicates the primary role of light limitation in causing productivity loss and subsequent mass extinction through trophic cascades (Fig. 3d).

As light deficiency emerges as the primary driver of the simulated extinction, regional differences in light reduction explain the highest extinction risk in the tropics, where irradiance drops the most (Fig. 4a,b). This mechanism also accounts for the higher extinction rates of modelled zooplankton compared with mixotrophs and phytoplankton (Fig. 1d), reflecting their different ability in using light energy. Planktic foraminifera, which belongs to the microzooplankton community, have additional metabolic costs associated with calcification, making them particularly vulnerable relative to other zooplankton. For phytoplankton, light demand seems to be more important than body size, because smaller nannoplankton went extinct, whereas larger diatoms survived the extinction, probably due to different light demand and geographical distribution.

Fig. 4: Latitudinal selectivity of plankton extinction in the model.
Fig. 4: Latitudinal selectivity of plankton extinction in the model.
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a, Zonal mean survivor percentage of total PFTs. b, Absolute solar radiation reduction in the first year following the K–Pg, which is highest in the low latitudes. c, Zonal mean of all plankton survivor’s richness. d, Zonal mean total chlorophyll-to-carbon ratio implies the plankton survivors’ ability to live in low-light environments.

Besides the difference in absolute light change, the pre-impact distribution and photo-acclimatization of phytoplankton might also contribute to the extinction selectivity. For instance, the simulated plankton survivors tend to live in the high latitudes and have high chlorophyll-to-carbon ratios (Fig. 4c,d), indicating a greater energy investment in light absorption and pre-acclimatization to low-light conditions48. This observation corroborates previous hypotheses for nannoplankton extinction selectivity7,15, and corresponds to fossil evidence of higher extinctions in groups reliant on high light conditions, including coccolithophores, symbiont-bearing foraminifera21, colonial corals49 and photosymbiotic rudist bivalves49, whereas diatoms and dinoflagellates are less impacted due to their tolerance to low-light turbulent environments50.

Darkness and body size-based thresholds collectively explain the observed marine plankton extinction selectivity. These drivers can be unified within an energy balance framework: darkness results in a reduced environmental energy supply, whereas body size sets energy demands. This framework can be applied across organisms, including unexamined traits and higher trophic levels. For instance, many diatoms and dinoflagellates enter dormancy to reduce their metabolic cost, and hence their energy demand, thereby increasing their chance of survival51. All foraminiferal and calcareous nannoplankton survivors in the fossil record have several energy pathways (for example, mixotroph and detritus feeding)4,21. Similarly, traits of surviving sharks, rays, molluscs (for example, feeding mode and mobility)52,53 and benthic foraminifera (for example, size)54 also reflect strategies of energy (food) acquisition and requirement. These examples highlight that differential energy supply, acquisition and demand provide a universal explanation for the selective pattern of the K–Pg marine extinction.

Reconciling with previous studies

Our results of light loss and the subsequent productivity collapse in causing marine extinction is consistent with the ‘impact winter’ theory initially proposed by Alvarez and colleagues23. However, studies based on benthic foraminiferal community55 and fish teeth data56 suggest limited evidence for productivity decline in deeper ocean communities. This apparent discrepancy can be reconciled by our model results, which show a rapid (year-scale) post-K–Pg productivity recovery29,42,57 (Fig. 2), probably too brief to be fully captured by the relatively coarse temporal resolution of most geological proxies, which often average over several millennia due to low sedimentation rates or non-deposition after the boundary combined with mixing due to bioturbation. Once the model reaches a quasi-steady state (5,000 years after the impact), the simulated productivity trends agree with observational data25,43,45 and reveal similar spatial heterogeneity (Extended Data Fig. 10). In the subtropical gyres, carbon export increases due to enhanced mixing and nutrient supply to the surface (Extended Data Fig. 10). By contrast, the upwelling regions and high latitudes which were already eutrophic, experienced biodiversity loss, reducing nutrient uptake and carbon export efficiency (Extended Data Fig. 10).

Previous studies have used the vertical δ13C gradient to infer changes in the biological pump at the K–Pg boundary13,21,58. However, this proxy is influenced not only by biological pump efficiency but also by other processes. For instance, our simulated changes in the δ13C gradient across the K–Pg do not solely reflect variations in carbon export productivity but is also affected by the injection of isotopically light carbon from wildfire and/or fossil carbon burning (Extended Data Fig. 7). Such an argument is supported by the recent evidence of rapid warming during the first decade of Danian59 and was proposed in earlier studies29,46. Note this argument is not in conflict with a previous study12 suggesting the impacts of weakening biological pump on δ13C gradient at millions of years after the boundary, because the solubility effect could be buffered by photosynthesis or sedimentary burial within the million-year window. Therefore, we suggest relying solely on δ13C data as a proxy for marine productivity may underestimate the timing of recovery of the biological pump60.

Our results do not support ocean acidification as the primary driver of the K–Pg extinction12. The EcoGENIE model reproduces the observed trends in foraminiferal and nannofossil extinction successfully without implementing any acidification impact. Moreover, the modelled saturation state of calcite and aragonite remains above 1 in most regions (Extended Data Fig. 4), similar to a previous modelling study that relied on a more comprehensive analysis of CO2 and SO2 forcings29 and more simplistic box models46. Modelled acidification is most pronounced in the polar regions, whereas some calcifiers (for example, coccolithophores7) experienced lower extinction in high latitudes. Overall, although we cannot rule out a potential synergistic effect of ocean acidification, our results suggest that, rather than changes in carbonate chemistry alone, darkness and starvation probably played a dominant role in the extinction of marine calcifiers at the K–Pg boundary.

Conclusion

We address the long-standing question of the physiological drivers underlying extinction patterns in the aftermath of the K–Pg mass extinction using a coupled a trait-based ecosystem model with independent climatic forcings to simulate marine plankton community dynamics at century scale. By introducing a body-size-dependent extinction threshold, our model reproduces successfully key features observed in the K–Pg fossil record. We are therefore able to reconcile selective extinction patterns and the dominance of small plankton and mixotrophs in the post-K–Pg ocean. Sensitivity experiments identify darkness arising from global atmospheric aerosol cover and the size-based extinction threshold as the primary drivers of marine extinction selectivity. The pre-impact distribution of taxa and their photo-acclimatization during the impact winter modulated ecological and geographical outcomes. Trait-based ecosystem modelling provides a powerful hypothesis generator for investigating past events with fossil constraints, identifying mechanisms that drive vulnerability and drivers for selective survival in response to environmental changes.

Methods

cGENIE Earth System Model

We use the cGENIE Earth System Model of Intermediate Complexity (EMIC) to simulate the climate changes and plankton ecosystem dynamics across the K–Pg boundary. The cGENIE model comprises three-dimensional ocean physics (GOLDSTEIN) and marine biogeochemistry (BIOGEM) (for example, C, P, O, Fe, Si), a two-dimensional atmosphere (EMBM), a trait-based plankton ecosystem model (EcoGENIE) and a sediment component (SEDGEM). The application of this model to the modern climate has demonstrated its ability to capture realistic ocean physics including deep-water formation and large-scale ocean circulation (Supplementary Figs. 6 and 7).

Previous K–Pg studies have used the cGENIE model to constrain the post-impact carbon cycle (on million-year timescales) using proxy data12 and to assess the impact of volcanic sulfur deposition from flood basalt eruptions61. These studies provide an important foundation for us because the Late Cretaceous model has been tuned to reproduce realistic climate (Extended Data Fig. 1), ocean circulation (Supplementary Fig. 8) and ocean biogeochemistry (Supplementary Figs. 5 and 9). However, these studies were assessed in steady-state conditions and without an explicit ecosystem component. In this work, we ran the cGENIE model with transient solar radiation, pCO2 and nutrient forcings and coupled with EcoGENIE at a century scale, expanding on these studies. The ecosystem model has a small timestep (7.3 h) to capture the trophic cascaded suggested by Alvarez and colleagues23. The plankton ecosystem, as the base of the marine food web, also provides an indication of the status of, and changes to, higher trophic levels.

Trait-based plankton ecosystem model

EcoGENIE is a trait-based mechanistic (forward) plankton ecosystem model integrated within the cGENIE framework. ‘Traits’ here refer to organism characteristics that influence ecophysiological processes and fitness. EcoGENIE receives environmental inputs, such as temperature, light availability and nutrient concentrations, from cGENIE’s physical (GOLDSTEIN) and biogeochemical (BIOGEM) modules. These inputs inform plankton food web dynamics within a variable mixed layer, driving the biomass evolution for each plankton functional type.

EcoGENIE captures ecosystem dynamics explicitly by simulating each plankton’s metabolic processes including photosynthesis, grazing, respiration and mortality (Supplementary Information). These processes are governed by abiotic factors (temperature, nutrient availability and light), plankton traits (for example, size, heterotrophy, calcification and Chl:C ratio based on the photo-acclimatization model of Geider and colleagues62) and biotic interactions (for example, competition and predator–prey relationships) (Supplementary Information). Through these interactions, the plankton community structure emerges naturally, reflecting resource competition and adaptation to specific local environmental conditions. Because the model aggregates species into functional types (defined by similar traits), the diversity represented in this study is functional rather than species-specific and arises directly from environmental selection rather than imposed a priori.

The emergent plankton ecosystem structure influences organic matter export. Specifically, larger plankton typically have a higher particulate organic carbon (POC) to dissolved organic carbon (DOC) export ratio relative to smaller plankton (Supplementary Fig. 1), thereby affecting the efficiency of the biological carbon pump and the overall biogeochemical cycling of the marine environment.

EcoGENIE simulates the plankton community as vertically integrated over the mixed layer. This simplified strategy improves the computational efficiency and reflects the nature that most plankton abundance63 and diversity (particularly phytoplankton diversity64) are found in the upper ocean. The MLD is calculated using a Kraus–Turner scheme and influences nutrient supply and light availability (with deeper MLD corresponding to higher nutrient supply and lower light availability). In the modern ocean, the model’s MLD compares well with the ECCOv.4 data product (Supplementary Fig. 6). A recent study35 further supports the use of this simplified strategy, showing similar model performance compared with higher-complexity plankton models in response to climate change. However, EcoGENIE does not explicitly resolve the direct impact of water structure change (for example, destratification) on plankton specific vertical habitats. This represents a potentially important limitation, as the physical loss of depth habitats with higher mixing may have contributed to the K–Pg extinction selectivity, particularly for deep-dwelling zooplankton65.

A key advantage of EcoGENIE is its trait-based feature, which uses allometric (size-based) relationships to parameterize plankton ecology (for example, growth rate; Supplementary Fig. 1), thereby avoiding subjective bias or over-reliance on modern taxa, making it particularly well-suited for deep-time studies66. The trait-based framework also allows us to account for the trait diversity of marine plankton in our model. For instance, the recent development of the calcification trait enables us to model calcareous zooplankton (that is, foraminifera) by modifying generic zooplankton’s ecological parameters given assumed trade-offs3. The model also shows realistic trait distributions in the modern3 and the Last Glacial Maximum35 oceans, constraining the simulated latitudinal distribution of functional diversity and extinction selectivity in taxon distributions (Supplementary Fig. 10). However, the model does not yet explicitly simulate shell mineralogy and sensitivity to changes in carbon chemistry. As a result, our interpretation of calcareous plankton’s extinction risk is probably conservative. Instead, calcite production in our model is parameterized using a constant CaCO3:POC rain ratio.

Extinction process

Marine biogeochemical models typically simulate plankton population biomass without explicitly including the extinction process. To address this limitation, we incorporate a size-dependent extinction mechanism into EcoGENIE based on a population biomass threshold. We link extinction to biomass because many potential surviving strategies (for example, adaptation) are dependent inherently on the effective population size.

For a population, extinction occurs when the last individual disappears. Therefore, to sustain ecosystem functions, the plankton population size must be greater than one individual, and biomass must exceed a critical threshold (referred to as the extinction threshold), equivalent to the minimum carbon biomass per individual. Such a minimal biomass threshold is size dependent67, reflecting the nature that minimal energy demand (for resting metabolic activities) of an individual scales with its body size47,68 (Supplementary Fig. 1). In our size-based model, such implementation is natural because the model pre-defines the biomass content of each cell (termed as cell quota) for each plankton functional type, which is linked to its biovolume using an observed scaling law67. When biomass falls below the extinction threshold, the model functionally ‘kills’ the plankton group by disabling key processes such as photosynthesis and grazing. We do not include the re-diversification process due to the uncertainty surrounding the mechanisms of evolution and thus do not assess the potential impact of adaptive evolution. We also do not assess the role of ocean transport in causing the extinction pattern as the K–Pg oceans were characterized with strong mixing and previous study69 has suggested environmental selection places stronger constraints than dispersal.

It is critical to note that body size and trophic strategy are the main traits used to characterize our plankton community. We do not assign differential sensitivities to temperature or light across plankton functional types, nor do we impose a pre-defined environmental niche range. Consequently, extinction risk is determined solely by the emergent biomass. However, the model does allow the differentiation of photosynthetic ability through the photo acclimatization processes, which dynamically adjust the Chl:C ratio of autotrophic plankton according to light environments. We expand and the extinction mechanism details in the Supplementary Information.

Reporting summary

Further information on research design is available in the Nature Portfolio Reporting Summary linked to this article.