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    Temporal patterns in the soundscape of a Norwegian gateway to the Arctic

    Ellison, W. T., Southall, B. L., Clark, C. W. & Frankel, A. S. A new context-based approach to assess marine mammal behavioral responses to anthropogenic sounds. Conserv. Biol. 26, 21–28 (2012).CAS 
    PubMed 
    Article 

    Google Scholar 
    Williams, R., Clark, C. W., Ponirakis, D. & Ashe, E. Acoustic quality of critical habitats for three threatened whale populations. Anim. Conserv. 17, 174–185 (2014).Article 

    Google Scholar 
    Halliday, W. D., Pine, M. K. & Insley, S. J. Underwater noise and arctic marine mammals: Review and policy recommendations. Environ. Rev. 28, 438–448 (2020).Article 

    Google Scholar 
    Kvadsheim, P. H. et al. Impact of Anthropogenic Noise on the Marine Environment: Status of Knowledge and Management (Springer, 2020).
    Google Scholar 
    Weilgart, L. S. & Whitehead, H. Distinctive vocalizations from mature male sperm whales (Physeter macrocephalus). Can. J. Zool. 66, 1931–1937 (1988).Article 

    Google Scholar 
    Simon, M., Stafford, K. M., Beedholm, K., Lee, C. M. & Madsen, P. T. Singing behavior of fin whales in the Davis Strait with implications for mating, migration and foraging. J. Acoust. Soc. Am. 128, 3200 (2010).ADS 
    PubMed 
    Article 

    Google Scholar 
    Alves, D., Amorim, M. C. P. & Fonseca, P. J. Assessing acoustic communication active space in the Lusitanian toadfish. J. Exp. Biol. 219, 1122–1129 (2016).PubMed 

    Google Scholar 
    Linnenschmidt, M., Teilmann, J., Akamatsu, T., Dietz, R. & Miller, L. A. Biosonar, dive, and foraging activity of satellite tracked harbor porpoises (Phocoena phocoena). Mar. Mamm. Sci. 29, E77–E97 (2013).Article 

    Google Scholar 
    Giorli, G. & Goetz, K. T. Foraging activity of sperm whales (Physeter macrocephalus) off the east coast of New Zealand. Sci. Rep. 9, 12182 (2019).ADS 
    PubMed 
    PubMed Central 
    Article 
    CAS 

    Google Scholar 
    Baumgartner, M. F. & Fratantoni, D. M. Diel periodicity in both sei whale vocalization rates and the vertical migration of their copepod prey observed from ocean gliders. Limnol. Oceanogr. 53, 2197–2209 (2008).ADS 
    Article 

    Google Scholar 
    Urazghildiiev, I. R. & Van Parijs, S. M. Automatic grunt detector and recognizer for Atlantic cod (Gadus morhua). J. Acoust. Soc. Am. 139, 2532–2540 (2016).ADS 
    PubMed 
    Article 

    Google Scholar 
    Ladich, F. Ecology of sound communication in fishes. Fish Fish. 20, 552–563 (2019).Article 

    Google Scholar 
    Radford, C. A., Stanley, J. A., Simpson, S. D. & Jeffs, A. G. Juvenile coral reef fish use sound to locate habitats. Coral Reefs 30, 295–305 (2011).ADS 
    Article 

    Google Scholar 
    Pierpoint, C. Harbour porpoise (Phocoena phocoena) foraging strategy at a high energy, near-shore site in south-west Wales, UK. J. Mar. Biol. Assoc. UK 88, 1167–1173 (2008).Article 

    Google Scholar 
    Pijanowski, B. C. et al. Soundscape ecology: The science of sound in the landscape. Bioscience 61, 203–216 (2011).Article 

    Google Scholar 
    Stanley, J. A., Radford, C. A. & Jeffs, A. G. Location, location, location: Finding a suitable home among the noise. Proc. R. Soc. B Biol. Sci. 279, 3622–3631 (2012).Article 

    Google Scholar 
    Buscaino, G. et al. Temporal patterns in the soundscape of the shallow waters of a Mediterranean marine protected area. Sci. Rep. 6, 1–13 (2016).Article 
    CAS 

    Google Scholar 
    Gasc, A., Francomano, D., Dunning, J. B. & Pijanowski, B. C. Future directions for soundscape ecology: The importance of ornithological contributions. Auk 134, 215–228 (2017).Article 

    Google Scholar 
    Putland, R. L., Constantine, R. & Radford, C. A. Exploring spatial and temporal trends in the soundscape of an ecologically significant embayment. Sci. Rep. 7, 5713 (2017).ADS 
    CAS 
    PubMed 
    PubMed Central 
    Article 

    Google Scholar 
    Pieretti, N., LoMartire, M., Farina, A. & Danovaro, R. Marine soundscape as an additional biodiversity monitoring tool: A case study from the Adriatic Sea (Mediterranean Sea). Ecol. Indic. 83, 13–20 (2017).Article 

    Google Scholar 
    Gillespie, D., Palmer, L., Macaulay, J., Sparling, C. & Hastie, G. Passive acoustic methods for tracking the 3D movements of small cetaceans around marine structures. PLoS ONE 15, e0229058 (2020).CAS 
    PubMed 
    PubMed Central 
    Article 

    Google Scholar 
    Van Parijs, S. et al. Management and research applications of real-time and archival passive acoustic sensors over varying temporal and spatial scales. Mar. Ecol. Prog. Ser. 395, 21–36 (2009).ADS 
    Article 

    Google Scholar 
    Warren, V. E., McPherson, C., Giorli, G., Goetz, K. T. & Radford, C. A. Marine soundscape variation reveals insights into baleen whales and their environment: a case study in central New Zealand. R. Soc. Open Sci. 8, 201503 (2021).ADS 
    PubMed 
    PubMed Central 
    Article 

    Google Scholar 
    Ahonen, H. et al. The underwater soundscape in western Fram Strait: Breeding ground of Spitsbergen’s endangered bowhead whales. Mar. Pollut. Bull. 123, 97–112 (2017).CAS 
    PubMed 
    Article 

    Google Scholar 
    Hildebrand, J. A. Anthropogenic and natural sources of ambient noise in the ocean. Mar. Ecol. Prog. Ser. 395, 5–20 (2009).ADS 
    Article 

    Google Scholar 
    Ross, D. Ship sources of ambient noise. IEEE J. Ocean. Eng. 30, 257–261 (2005).ADS 
    Article 

    Google Scholar 
    Popper, A. N. & Hawkins, A. The Effects of Noise on Aquatic Life Vol. 730 (Springer, 2012).Book 

    Google Scholar 
    Hubert, J. et al. Effects of broadband sound exposure on the interaction between foraging crab and shrimp: A field study. Environ. Pollut. 243, 1923–1929 (2018).CAS 
    PubMed 
    Article 

    Google Scholar 
    Weilgart, L. The Impact of Ocean Noise Pollution on Fish and Invertebrates (Springer, 2018).
    Google Scholar 
    Kvadsheim, H., Sivle, L. D., Hansen, R. R. & Karlsen, H. E. Effekter av Menneskeskapt støy på Havmiljø Rapport til Miljødirektoratet om Kunnskapsstatus FFI-RAPPORT. (2017).Parks, S. E., Johnson, M., Nowacek, D. & Tyack, P. L. Individual right whales call louder in increased environmental noise. Biol. Lett. 7, 33–35 (2011).PubMed 
    Article 

    Google Scholar 
    Meh, F. et al. Humpback whales Megaptera novaeangliae alter calling behavior in response to natural sounds and vessel noise. Mar. Ecol. Prog. Ser. 607, 251–268 (2018).Article 

    Google Scholar 
    Leroy, E. C., Royer, J.-Y., Bonnel, J. & Samaran, F. Long-term and seasonal changes of large whale call frequency in the Southern Indian ocean. J. Geophys. Res. Ocean. 123, 8568–8580 (2018).ADS 
    Article 

    Google Scholar 
    Parks, S. E., Clark, C. W. & Tyack, P. L. Short- and long-term changes in right whale calling behavior: The potential effects of noise on acoustic communication. J. Acoust. Soc. Am. 122, 3725–3731 (2007).ADS 
    PubMed 
    Article 

    Google Scholar 
    Clark, C. et al. Acoustic masking in marine ecosystems: intuitions, analysis, and implication. Mar. Ecol. Prog. Ser. 395, 201–222 (2009).ADS 
    Article 

    Google Scholar 
    PAME. Underwater Noise in the Arctic: A State of Knowledge Report (PAME, 2019).
    Google Scholar 
    Beszczynska-Möller, A., Woodgate, R., Lee, C., Melling, H. & Karcher, M. A synthesis of exchanges through the main oceanic gateways to the Arctic Ocean. Oceanography 24, 82–99 (2011).Article 

    Google Scholar 
    Ramm, T. Hungry During Migration? Humpback Whale Movement from the Barents Sea to a Feeding Stopover in Northern Norway Revealed by Photo-ID Analysis. (MSc thesis. UiT The Arctic University of Norway, 2020).Broms, F. et al. Recent research on the migratory destinations of humpback whales (Megaptera novaeangliae) from a mid-winter feeding stop-over area in Northern Norway. in Recent research on the migratory destinations of humpback whales (Megaptera novaeangliae) from a mid-winter feeding stop-over area in Northern Norway (ed. Wenzel, F. W.) (European Cetacean Society Special Publication Series, 2015).Aniceto, A. S. et al. Arctic marine data collection using oceanic gliders: Providing ecological context to cetacean vocalizations. Front. Mar. Sci. 7, 547 (2020).Article 

    Google Scholar 
    Jourdain, E. & Vongraven, D. Humpback whale (Megaptera novaeangliae) and killer whale (Orcinus orca) feeding aggregations for foraging on herring (Clupea harengus) in Northern Norway. Mamm. Biol. 86, 27–32 (2017).Article 

    Google Scholar 
    Christiansen, J. S., Mecklenburg, C. W. & Karamushko, O. V. Arctic marine fishes and their fisheries in light of global change. Glob. Chang. Biol. 20, 352–359 (2014).ADS 
    PubMed 
    Article 

    Google Scholar 
    Rødland, E. S. & Bjørge, A. Residency and abundance of sperm whales (Physeter macrocephalus) in the Bleik Canyon, Norway. Mar. Biol. Res. 11, 974–982 (2015).Article 

    Google Scholar 
    Nøttestad, L. et al. Prey selection of offshore killer whales Orcinus orca in the Northeast Atlantic in late summer: spatial associations with mackerel. Mar. Ecol. Prog. Ser. 499, 275–283 (2014).ADS 
    Article 

    Google Scholar 
    Bjørge, A., Aarefjord, H., Kaarstad, S., Kleivane, L. & Øien, N. Harbour porpoise (Phocoena phocoena) in Norwegian waters (Springer, 1991).
    Google Scholar 
    Gjøseter, H. et al. Fisken og Havet. https://doi.org/10.1111/maec.12075 (2010).Article 

    Google Scholar 
    ICES. ICES Report on Ocean Climate 2009 No.304. (2010).ICES. Report of the Working Group on Widely Distributed Stocks (WGWIDE). (2010).Rey, F. Phytoplankton: The grass of the sea. In The Norwegian Sea Ecosystem (ed. Skjoldal, H. R.) 97–136 (Academic Press, 2004).
    Google Scholar 
    Huse, G. et al. Effects of interactions between fish populations on ecosystem dynamics in the Norwegian Sea : Results of the INFERNO project. Mar. Biol. Res. 8, 415–419 (2012).Article 

    Google Scholar 
    Godø, O. R., Johnsen, S. & Torkelsen, T. The LoVe ocean observatory is in operation. Mar. Technol. Soc. J. 48, 24–30 (2014).Article 

    Google Scholar 
    Cooke, J. G. Balaenoptera physalus. The IUCN Red List of Threatened Species: e.T2478A50349982 (2018).Leonard, D. & Øien, N. Estimated abundances of Cetacean species in the Northeast Atlantic from Norwegian Shipboard Surveys Conducted in 2014–2018. NAMMCO Sci. Publ. 11, 4694 (2020).
    Google Scholar 
    Øygard, S. H. Simulations of Acoustic Transmission Loss of Fin Whale Calls Reaching the LoVe Ocean Observatory. (MSc thesis. University of Bergen, 2018).Steiner, L. et al. A link between male sperm whales, Physeter macrocephalus, of the Azores and Norway. J. Mar. Biol. Assoc. UK 92, 1751–1756 (2012).Article 

    Google Scholar 
    Olafsen, T., Winther, U., Olsen, Y. & Skjermo, J. Verdiskaping Basert på Produktive hav i 2050 1–76 (Springer, 2012).
    Google Scholar 
    Wenz, G. M. Acoustic ambient noise in the ocean: Spectra and sources. J. Acoust. Soc. Am. 34, 1936–1956 (1962).ADS 
    Article 

    Google Scholar 
    Klinck, H. et al. Seasonal presence of cetaceans and ambient noise levels in polar waters of the North Atlantic. J. Acoust. Soc. Am. 132, 176–181 (2012).Article 

    Google Scholar 
    Burnham, R. E., Duffus, D. A. & Mouy, X. The presence of large whale species in Clayoquot Sound and its offshore waters. Cont. Shelf Res. 177, 15–23 (2019).ADS 
    Article 

    Google Scholar 
    Romagosa, M. et al. Baleen whale acoustic presence and behaviour at a Mid-Atlantic migratory habitat, the Azores Archipelago. Sci. Rep. 10, 61489 (2020).
    Google Scholar 
    Tervo, O. Acoustic Behaviour of Bowhead Whales Balaena mysticetus in Disko Bay, Western Greenland. PhD thesis. (2011).Magnúsdóttir, E. E. & Lim, R. Subarctic singers: Humpback whale (Megaptera novaeangliae) song structure and progression from an Icelandic feeding ground during winter. PLoS ONE 14, e0210057 (2019).PubMed 
    PubMed Central 
    Article 
    CAS 

    Google Scholar 
    Samaran, F. et al. Seasonal and geographic variation of southern blue whale subspecies in the Indian Ocean. PLoS ONE 8, e70 (2013).Article 

    Google Scholar 
    Norris, T. F., Dunleavy, K. J., Yack, T. M. & Ferguson, E. L. Estimation of minke whale abundance from an acoustic line transect survey of the Mariana Islands. Mar. Mammal Sci. 33, 574 (2017).Article 

    Google Scholar 
    Marques, T. A. et al. Estimating animal population density using passive acoustics. Biol. Rev. Camb. Philos. Soc. 88, 287–309 (2013).PubMed 
    Article 

    Google Scholar 
    Dunlop, R. A. The effects of vessel noise on the communication network of humpback whales. R. Soc. Open Sci. 6, 190967 (2019).ADS 
    PubMed 
    PubMed Central 
    Article 

    Google Scholar 
    Christensen, I., Haug, T. & Øien, N. A review of feeding and reproduction in large baleen whales (Mysticeti) and sperm whales Physeter macrocephalus in Norwegian and adjacent waters. ICES J. Mar. Sci. 49, 341–355 (1992).Article 

    Google Scholar 
    Aniceto, A. S. et al. Monitoring marine mammals using unmanned aerial vehicles: quantifying detection certainty. Ecosphere 9, e02122 (2018).Article 

    Google Scholar 
    Pedersen, G., Storheim, E., Sivle, L. D., Godø, O. R. & Ødegaard, L. A. Concurrent passive and active acoustic observations of high-latitude shallow foraging sperm whales (Physeter macrocephalus) and mesopelagic prey layer. J. Acoust. Soc. Am. 141, 1–10 (2017).Article 

    Google Scholar 
    Vogel, E. F. The influence of herring (Clupea harengus) biomass and distribution on killer whale (Orcinus orca) movements on the Norwegian shelf (UiT The Arctic University of Norway, 2020).
    Google Scholar 
    Williams, R. et al. Impacts of anthropogenic noise on marine life: Publication patterns, new discoveries, and future directions in research and management. Ocean Coast. Manag. 115, 17–24 (2015).Article 

    Google Scholar 
    Garibbo, S. et al. Low-frequency ocean acoustics: Measurements from the Lofoten-Vesterålen Ocean Observatory, Norway. (2020). https://doi.org/10.1121/2.0001324.Dekeling, R. P. A. et al. Monitoring Guidance for Underwater Noise in European Seas, Part I: Executive Summary (Springer, 2014).
    Google Scholar 
    Erbe, C. International regulation of underwater noise. Acoust. Aust. 41, 1–10 (2013).
    Google Scholar 
    Halliday, W. D., Insley, S. J., Hilliard, R. C., de Jong, T. & Pine, M. K. Potential impacts of shipping noise on marine mammals in the western Canadian Arctic. Mar. Pollut. Bull. 123, 73–82 (2017).CAS 
    PubMed 
    Article 

    Google Scholar 
    Halliday, W. D. et al. Underwater sound levels in the Canadian Arctic, 2014–2019. Mar. Pollut. Bull. 168, 112437 (2021).CAS 
    PubMed 
    Article 

    Google Scholar 
    Ødegaard, L., Pedersen, G. & Johnsen, E. Underwater Noise From Wind At the High North Love Ocean Observatory. UACE 2019 Conf. Proc. 359–366 (2019).Zhang, G., Forland, T. N., Johnsen, E., Pedersen, G. & Dong, H. Measurements of underwater noise radiated by commercial ships at a cabled ocean observatory. Mar. Pollut. Bull. 153, 110948 (2020).CAS 
    PubMed 
    Article 

    Google Scholar 
    Maystrenko, Y. P., Olesen, O., Gernigon, L. & Gradmann, S. Deep structure of the Lofoten–Vesterålen segment of the Mid-Norwegian continental margin and adjacent areas derived from 3-D density modeling. J. Geophys. Res. Solid Earth 122, 1402–1433 (2017).ADS 
    Article 

    Google Scholar 
    Gillespie, D. et al. PAMGUARD: Semiautomated, open source software for real-time acoustic detection and localization of cetaceans. J. Acoust. Soc. Am. 125, 2547–2547 (2009).ADS 
    Article 

    Google Scholar 
    Hollander, M. & Wolfe, D. A. Nonparametric Statistical Methods (Wiley, 1973).MATH 

    Google Scholar 
    Vogel, E. F. et al. Killer whale movements on the Norwegian shelf are associated with herring density. Mar. Ecol. Prog. Ser. 665, 217–231 (2021).ADS 
    Article 

    Google Scholar 
    Garcia, H. A. et al. Temporal-spatial, spectral, and source level distributions of fin whale vocalizations in the Norwegian Sea observed with a coherent hydrophone array. ICES J. Mar. Sci. 76, 268–283 (2019).Article 

    Google Scholar 
    Davis, G. E. et al. Exploring movement patterns and changing distributions of baleen whales in the western North Atlantic using a decade of passive acoustic data. Glob. Chang. Biol. 26, 4812–4840 (2020).ADS 
    PubMed 
    PubMed Central 
    Article 

    Google Scholar 
    Risch, D. et al. Minke whale acoustic behavior and multi-year seasonal and diel vocalization patterns in Massachusetts Bay, USA. Mar. Ecol. Prog. Ser. 489, 279–295 (2013).ADS 
    Article 

    Google Scholar 
    Le Tixerant, M., Le Guyader, D., Gourmelon, F. & Queffelec, B. How can Automatic Identification System (AIS) data be used for maritime spatial planning?. Ocean Coast. Manag. 166, 18–30 (2018).Article 

    Google Scholar 
    Team, R. C. R: A Language and Environment for Statistical Computing. (R Foundation for Statistical Computing, 2020).Sumner, M. D. The Tag Location Problem. 133 (2011).Sumner, M. D., Wotherspoon, S. J. & Hindell, M. A. Bayesian estimation of animal movement from archival and satellite tags. PLoS ONE 4, e7324 (2009).ADS 
    PubMed 
    PubMed Central 
    Article 
    CAS 

    Google Scholar 
    Halliday, W. D. et al. The coastal Arctic marine soundscape near Ulukhaktok, Northwest Territories, Canada. Polar Biol. 43, 623–636 (2020).Article 

    Google Scholar 
    Ezzet, F. & Pinheiro, J. Linear, generalized linear, and nonlinear mixed effects models. Pharm. Sci. Quant. Pharmacol. 1, 103–135. https://doi.org/10.1002/9780470087978.ch4 (2006).Article 

    Google Scholar 
    Mazerolle, M. J. AICcmodavg: Model Selection and Multimodel Inference Based on (Q)AIC(c). (2020).Wickham, H. ggplot2: Elegant Graphics for Data Analysis (Springer, 2016).MATH 
    Book 

    Google Scholar 
    Pante, E. & Simon-Bouhet, B. marmap: A package for importing, plotting and analyzing bathymetric and topographic data in R. PLoS ONE 8, e73051 (2013).ADS 
    CAS 
    PubMed 
    PubMed Central 
    Article 

    Google Scholar 
    Wessel, P. & Walter, H. F. S. A global self-consistent, hierarchical, high-resolution shoreline database. J. Geophys. Res. 101, 8741–8743 (1996).ADS 
    Article 

    Google Scholar 
    Sueur, J., Aubin, T. & Simonis, C. Equipment review: Seewave, a free modular tool for sound analysis and synthesis. Bioacoustics 18, 213–226 (2008).Article 

    Google Scholar 
    The Mathworks Inc. MATLAB (R2019a). (MathWorks Inc., 2019).Merchant, N. D. et al. Measuring acoustic habitats. Methods Ecol. Evol. 6, 257–265 (2015).PubMed 
    PubMed Central 
    Article 

    Google Scholar  More

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    The dynamical complexity of seasonal soundscapes is governed by fish chorusing

    Data collectionThe acoustic recordings were collected during 2017 off the Changhua coast (24° 4.283 N/120° 19.102 E) (Fig. 5) by deploying a passive acoustic monitoring (PAM) device from Wildlife Acoustics, which was an SM3M recorder moored at a depth of 18–20 m. The hydrophone recorded continuously with a sampling frequency of 48 kHz and a sensitivity of −164.2 dB re:1 v/µPa. The acoustic files were recorded in the.WAV format with a duration of 60 minutes. The hydrophone setup prior to deployment is shown in Fig. 6. Table 2 contains the details for the monitoring period with the corresponding season and the number of hours of recordings each season used in this study. Studies have shown that the presence of seasonal chorusing at this monitoring site in the frequency range of 500–2500 Hz is caused by two types of chorusing15,38, with chorusing starting in early spring, reaching a peak in summer, and starting to decline late autumn, and silencing in winter6. Previous studies6,15,38 at this monitoring site have derived the details of two types of fish calls responsible for chorusing (Type 1 and Type 2); Supplementary Fig. 1 shows the spectrogram, waveform, and power spectrum density of the individual calls. Supplementary Table 1 tabulated are the acoustic features of the two call types. The monitoring region, Changhua, lies in the Eastern Taiwan Strait (ETS). The ETS is ~350 km in length and ~180 km wide64. The ETS experiences diverse oceanographic and climatic variations influenced by monsoons in summer and winter65 and extreme events caused by tropical storms, typhoons in summer, and wind/cold bursts occurring in winter66,67,68.Fig. 5: Study area located off the Taiwan Strait.Map of the Changhua coast located in Taiwan Strait, Taiwan depicting the deployed passive acoustic monitoring recorder at site A1. The map was produced in Matlab 9.11 (The Mathworks, Natick, MA; http://www.mathworks.com/) using mapping toolbox function geobasemap(). Full global basemap composed of high-resolution satellite imagery hosted by Esri (https://www.esri.com/).Full size imageFig. 6: Setup of the SM3M submersible recorder.SM3M recorder fastened to the steel frame (length and breadth = 1.22 m, height = 0.52 m) with plastic cable zip ties prior to deployment.Full size imageTable 2 Passive acoustic monitoring device specifications and monitoring duration during different seasons.Full size tableAcoustic data analysisThe acoustic data were analyzed using the PAMGuide toolbox in Matlab60. The seasonal spectrograms were computed with an FFT size of 1024 points and a 1 s time segment averaged to a 60 s resolution. The sound pressure levels (SPL) were computed in the frequency band of 500–3500 Hz and programmed to provide a single value every hour, thus resulting in 984, 1344, and 1440 data points in spring, summer, and winter, respectively (Supplementary Data 1).Determining the regularity and complexity with the complexity-entropy planeThe complexity-entropy plane was utilized in this study to quantify the structural statistical complexity and the regularity in the hourly acoustical and seasonal SPL time series data. The C-H plane is a 2D plane representation of the permutation entropy on the horizontal axis that quantifies the regularity, and the vertical axis is represented by the statistical complexity quantifying the correlation structure in the temporal series.For a given time series ({{x(t)}}_{t=1}^{N}), the N’ ≡ N − (m − 1) the values of the vectors for the length m  > 1 are ranked as$${X}_{s}=left({x}_{s-(m-1)},{x}_{s-(m-2)},ldots ,{x}_{s}right),s=1,ldots ,,{N}^{{prime} }$$
    (1)
    Within each vector, the values are reordered in the ascending order of their amplitude, yielding the set of ordering symbols (patterns) ({r}_{0},{r}_{1},ldots ,{r}_{m-1}) such that$${x}_{s-{r}_{0}}le {x}_{s-{r}_{1}}le ..,..le {x}_{s-{r}_{(m-1)}}$$
    (2)
    This symbolization scheme was introduced by Bandt and Pompe69. The scheme performs the local ordering of a time series to construct a probability mass function (PMF) of the ordinal patterns of the vector. The corresponding vectors (pi ={r}_{0},{r}_{1},ldots ,{r}_{(m-1)}) may presume any of the m! possible permutations of the set ({{{{{mathrm{0,1}}}}},ldots ,m-1}) and symbolically represent the original vector. For instance, for a given time series {9, 4, 5, 6, 1,…} with length m = 3, provides 3! different order patterns with six mutually exclusive permutation symbols are considered. The first three-dimensional vector is (9, 4, 5), following the Eq. (1), this vector corresponds to ((,{x}_{s-2},{x}_{s-1},{x}_{s})). According to Eq. (2), it yields ({x}_{s-1}le {x}_{s}le {x}_{s-2}). Then, the ordinal pattern satisfying the Eq. (2) will be (1, 0, 2). The second 3-dimensional vector is (4, 5, 6), and (2, 1, 0) will be its associated permutation, and so on.The permutation entropy (H) of order m ≥ 2 is defined as the Shannon entropy of the Brandt-Pompe probability distribution p(π)69$$Hleft(mright)=,-{mathop{sum}limits _{{pi }}}pleft(pi right){{{log }}}_{2}p(pi )$$
    (3)
    where ({pi }) represents the summation over all possible m! permutations of order m, (p(pi )) is the relative frequency of each permutation (pi), and the binary logarithm (base of 2) is evaluated to quantify the entropy in bits. H(m) attains the maximum ({{log }}m!) for (p(pi )=1/m!). Then the normalized Shannon entropy is given by$$0le H(m)/{{{{{rm{ln}}}}}},m!le 1$$
    (4)
    where the lower bound H = 0 corresponds to more predictable signals with fewer fluctuations, an either strictly increasing or decreasing series (with a single permutation), and the upper bound H = 1 corresponds to an unpredictable random series for which all the m! possible permutations are equiprobable. Thus, H quantifies the degree of disorder inherent in the time series. The choice of the pattern length m is essential for calculating the appropriate probability distribution, particularly for m, which determines the number of accessible states given by m!70,71. As a rule of thumb, the length T of the time series must satisfy the condition T (gg) m! in order to obtain reliable statistics, and for practical purposes, Bandt and Pompe suggested choosing m = 3,…,7 69.The statistical complexity measure is defined with the product form as a function of the Bandt and Pompe probability distribution P associated with the time series. (Cleft[Pright]) is represented as33$$Cleft[Pright]=frac{J[P,U]}{{J}_{{max }}}{H}_{s}[P]$$
    (5)
    where ({H}_{s}left[Pright]=Hleft[Pright]/{{log }}m!) is the normalized permutation entropy. (J[P,U]) is the Jensen divergence$$Jleft[P,Uright]=left{Hleft[frac{P+U}{2}right]-frac{H[P]}{2}-frac{H[U]}{2}right}$$
    (6)
    which quantifies the difference between the uniform distributions U and P, and ({J}_{{max }})is the maximum possible value of (Jleft[P,Uright]) that is obtained from one of the components of P = 1, with all the other components being zero:$$Jleft[P,Uright]=-frac{1}{2}left[frac{m!+1}{m!}{{log }}left(m!+1right)-2{{log }}left(2m!right)+{{log }}(m!)right]$$
    (7)
    For each value of the normalized permutation entropy (0le {H}_{s}[P]le 1) there is a corresponding range of possible statistical complexity (Cleft[Pright]) values. Thus, the upper (({C}_{{max }})) and lower ((C_{{min }})) complexity bounds in the C-H plane are formed. The periodic sequences such as sine and series with increasing and decreasing (with ({H}_{s}[P]=0)) and completely random series such as white noise (for which (Jleft[P,Uright]=0) and ({H}_{s}[P]=1)) will have zero complexity. Furthermore, for each given value of the (0le {H}_{s}[P]le 1), there exists a range of possible values of the statistical complexity, ({C}_{{min }}le C[P]le {C}_{{max }}). The procedure for evaluating the complexity bounds ({C}_{{min }}) and ({C}_{{max }}) is given in Martin et al.72. We utilized the R package ‘statcomp’73 to evaluate the statistical complexity (C) and the permutation entropy (H) using the command global-complexity() for the order m = 6, and the command limit_curves(m, fun = ‘min/max’) was utilized to evaluate the complexity boundaries ({C}_{{min }}) and ({C}_{{max }}). In this study, we constructed two C-H planes: (1) C and H was computed for each hourly acoustic file during different seasons. The resulting lengths of C and H during spring, summer, and autumn-winter are similar to the number of hours in the particular season (Table 2). (2) C and H was computed every 4–5 days for the seasonal SPL. The resulting length of C and H obtained during spring was 9 points (each value of C and H for every 109 h), and in summer and autumn-winter was 12 points (each value of C and H for every 112 and 120 h).Determining predictability and dynamics (linear/nonlinear) using EDMIn this study, we utilized EDM to quantify the predictability (forecasting) and distinguish between the linear stochastic and nonlinear dynamics in the seasonal soundscape SPL. EDM involves phase-space reconstruction via delay coordinate embeddings to make forecasts and to determine the ‘predictability portrait’ of time series data40. The first step in EDM is to determine the optimal embedding dimension (E), and this is obtained using a method based on simplex projection41. The simplex projection is carried out by dividing the dataset into two equal parts, of which the first part is called the library and the other part is called the target. The library set is used to build a series of non-parametric models (known as predictors) for the one step ahead predictions for the E varying between 1 and 10. Then the model’s accuracies are determined when the model is applied to the target dataset and the prediction skill (⍴) for the actual and predicted datasets is measured. The embedding dimension with the highest predictive skill is the optimal E.For the appropriate optimal E chosen, the predictability profile of the time series data is obtained by evaluating ⍴ at Tp = 1, 2, 3, … steps ahead. The flat prediction profile of the ⍴–Tp curve indicates that the time series is purely random (low ⍴) or regularly oscillating (high ⍴). In contrast, a decreasing ⍴ as Tp increases may reject the possibility of an underlying uncorrelated stochastic process and indicate the presence of low-dimensional deterministic dynamics. However, the concern with the predictability profile is that it may exhibit predictability even if time series are purely stochastic (such as autocorrelated red noise). Hence, a nonlinear test can be performed by using S-maps (sequential locally weighted global linear maps) to distinguish between linear stochastic and nonlinear dynamics in the time series dataset by fitting a local linear map. S-maps similar to simplex projects provide the forecasts in phase-space by quantifying the degree to which points are weighted when fitting the local linear map, which is given by the nonlinear localization parameter θ. When θ = 0, the entire library set will exhibit equal weights regardless of the target prediction, which mathematically resembles the model of a linear autoregressive process. In contrast, if θ  > 0, the forecasts of the library provided by the S-map depend on the local state of the target prediction, thus producing large weights, and the unique local fittings can vary in phase-space to incorporate nonlinear behavior. Consequently, if the (⍴–θ) dynamics profile shows the highest ⍴ at θ = 0 that is reduced as θ increases, it represents linear stochastic dynamics. If the ⍴ achieves the highest value at θ  > 0, then the dynamics are represented by nonlinear dynamics.In this study, the R package “rEDM”74 was used to evaluate the optimal E, prediction profile (⍴–Tp), and dynamics profile (⍴–θ) for the seasonal SPL dataset. While evaluating these entities, the data points are equally into two parts, and sequentially the first half is chosen as the library set and the other as the target set. The length of the library and the target set for spring, summer, and autumn-winter are 492, 672, and 720. The command EmbedDimension() was used to determine the forecast skill for the E ranging from 1 to 10 and the optimal E with the highest forecast skill (Supplementary Fig. 2) was chosen. In this study, we found that for all seasons, the optimal E was 2. The (⍴–Tp) was evaluated for Tp varying between 1 and 100 using the command PredictInterval() and the (⍴–θ) was evaluated using the command PredictNonlinear() for θ = 0, 0.0001, 0.0003, 0.001, 0.003, 0.01, 0.03, 0.1, 0.3, 0.5,0.75, 1.0, 1.5, 2, and 3 to 20.StatisticsThe nonparametric Kruskal–Wallis test, followed by post hoc Bonferroni’s multiple comparisons, was used to test differences in the seasonal H and C that were obtained directly from the hourly acoustic data during chorusing hours, as well as the H and C obtained for the seasonal SPL and the seasonal forecast skill. The statistical calculations were performed using the R package “agricolae” 75. More

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    Maximizing citizen scientists’ contribution to automated species recognition

    In the current study we utilize an extensive network and data from citizen science in order to test for among taxa variation in biases and value of information (VoI) in image recognition training data. We use data from the Norwegian Species Observation Service as an example dataset due to the generic nature of this citizen science platform, where all multicellular taxa from any Norwegian region can be reported both with and without images. The platform is open to anyone willing to report under their full real name, and does not record users’ expertise or profession. The platform had 6,205 active contributors in 2021 out of its 17,655 registered users, and currently publishes almost 27 million observations through GBIF, of which 1.08 million with one or more images. Observations have been bulk-verified by experts appointed by biological societies receiving funding for this task, with particular focus on red listed species, invasive alien species, and observations out of range or season. Observations containing pictures receive additional scrutiny, as other users can alert reporters and validators to possible mistaken identifications. An advantage of this particular platform is that no image recognition model has been integrated. This ensures that the models trained in this experiment are not trained on the output resulting from the use of any model, but with identifications and taxonomic biases springing from the knowledge and interest of human observers. Moreover, the platform’s compliance with the authoritative Norwegian taxonomy allows for analyses on taxonomic coverage.In an exploration procedure we determined the taxonomic level of orders to be suitable examples of taxa with a sufficiently wide taxonomic diversity, and enough data in the dataset to be evaluated for models in this experiment. Data collection was done by acquiring taxon statistics and observation data from the Global Biodiversity Information Facility (GBIF), the largest aggregator of biodiversity observations in the world37 for the selected orders, as well as the classes used by Troudet et al.5. The authoritative taxonomy for Norway was downloaded from the Norwegian Biodiversity Information Centre38. In the experimental procedure, models were trained for 12 distinct orders (listed in Fig. 4), artificially restricting these models to different amounts of data. In the data analysis stage, model performances relative to the amount of training data were fitted for each order, allowing the estimation of a VoI. Using the number of observations per species on GBIF, and the number of species known to be present in Norway from the Norwegian Species Nomenclature Database, we calculated relative taxonomic biases.ExplorationInitial pilot runs were done on 8 taxa (see Supplementary Information), using different subset sizes of observations for each species, and training using both an Inception-ResNet-v239 as well as an EfficientNetB340 architecture for each of these subsets. These initial results indicated that the Inception-ResNet-v2 performance (F(_1)) varied less between replicate runs and was generally higher, so subsequent experiments were done using this architecture. The number of observations which still improved the accuracy of the model was found to be between 150 and 200 in the most extreme cases, so the availability of at least 220 observations with images per species was chosen as an inclusion criteria for the further experiment. This enabled us to set aside at least 20 observations per species as a test dataset for independent model analysis.From a Darwin Core Archive file of Norwegian citizen science observations from the Species Observation Service with at least one image33, a tally of the number of such observations per species was generated. We then calculated how many species, with a minimum of 220 such observations, would, at a minimum, be available per taxon if a grouping was made based on each taxon rank level with the constraint of resulting in at least 12 distinct taxa. For each taxonomic level, we calculated how many species having at least 220 such observations were available per taxon when dividing species based on that taxon level. When deciding on the appropriate taxon level to use, we limited the options to taxon levels resulting in at least 12 different taxa.A division by order was found to provide the highest minimum number of species (17) per order within these constraints, covering 12 of the 96 eligible orders. The next best alternative was the family level, which would contain 15 species per family, covering 12 of the 267 eligible families.Data collectionWe retrieved the number of species represented in the Norwegian data through the GBIF API, for all observations, all citizen science observations, and all citizen science observations with images for the 12 selected orders and the classes used by Troudet et al.5. We also downloaded the Norwegian Species Nomenclature Database38 for all kingdoms containing taxa included in these datasets. Observations with images were collected from the Darwin Core Archive file used in the exploration phase, filtering on the selected orders. For these orders, all images were downloaded and stored locally. The average number of images per observation in this dataset was 1.44, with a maximum of 17 and a median of 1.Experimental procedureFor each selected order, a list of all species with at least 220 observations with images was generated from the Darwin Core Archive file33. Then, runs were generated according to the following protocol (Fig. 5):Figure 5Data selection and subdivision. Each run is generated by selecting 17 taxonomically adjacent species per order, and randomly assigning all available images of each selected species to that run’s test-, train- or validation set. Training data are used as input during training, using the validation data to evaluate performance after each training round in order to adjust training parameters during training. The test set is used to measure model performance independently after the model is finalized28. For each subsequent model in that run, training and validation data are reduced by 25% (or slightly less than 25% if not divisible by 4). The test set is not reduced, and used for all models within a run.Full size image

    1.

    From a list sorted alphabetically by the full taxonomy of the species, a subset of 17 consecutive species starting from a random index was selected. If the end of the list was reached with fewer than 17 species selected, selection continued from the start of the list. The taxonomic sorting ensures that closely related species (belonging to the same family or genus), bearing more similarity, are more likely to be part of the same experimental set. This ensures that the classification task is not simplified for taxa with many eligible species.

    2.

    Each of the 220+ observations for each species were tagged as being either test, training or validation data. A random subset of all but 200 were assigned to the test set. The remaining 200 observations were, in a 9:1 ratio, randomly designated as training or validation data, respectively. In all cases, images from the same observation were assigned to the same subset, to keep the information in each subset independent from the others. The resulting lists of images are stored as the test set and 200-observation task.

    3.

    The 200 observations in the training and validation sets were then repeatedly reduced by discarding a random subset of 25% of both, maintaining a validation data proportion of (le)10%. The resulting set was saved as the next task, and this step was repeated as long as the resulting task contained a minimum of 10 observations per species. The test set remained unaltered throughout.

    Following this protocol results in a single run of related training tasks with 200, 150, 113, 85, 64, 48, 36, 27, 21, 16 and 12 observations for training and validation per species. The seeds for the randomization for both the selection of the species and for the subsetting of training- and validation datasets were stored for reproducibility. The generation of runs was repeated 5 times per order to generate runs containing tasks with different species subsets and different observation subsetting.Then, a Convolutional Neural Network based on Inception-ResNet-v239 (see the Supplementary Information for model configuration) was trained using each predesignated training/validation split. When the learning rate had reached its minimum and accuracy no longer improved on the validation data, training was stopped and the best performing model was saved. Following this protocol, each of the 12 orders were trained in 5 separate runs containing 11 training tasks each, thus producing a total of 660 recognition models. After training, each model was tested on all available test images for the relevant run.Data analysisThe relative representation of species within different taxa were generated using the number of species present in the GBIF data for Norway within each taxon and the number of accepted species within that taxon present in the Norwegian Species Nomenclature Database38, in line with Troudet et al.5: (R_x = n_x – (n frac{s_x}{s})) where (R_x) is the relative representation for taxon (x), (n_x) is the number of observations for taxon (x), (n) is the total number of observations for all taxa, (s_x) is the number of species within taxon (x), and (s) is the total number of species within all taxa.As a measure of model performance, we use the F(_1) score, the harmonic mean of the model’s precision and recall, given by$$begin{aligned} F_1 = frac{tp}{tp + frac{1}{2}(fp + fn)} end{aligned}$$where (tp), (fp) and (fn) stand for true positives, false positives and false negatives, respectively. The F(_1) score is a commonly used metric for model evaluation, as it is less susceptible to data imbalance than model accuracy28.The value of information (VoI) can be generically defined as “the increase in expected value that arises from making the best choice with the benefit of a piece of information compared to the best choice without the benefit of that same information”32. In the current context, we define the VoI as the expected increase in model performance (F(_1) score) when adding one observation with at least one image. To estimate this, for every order included in the experiment, the increase in average F(_1) score over increasing training task sizes were fitted using the Von Bertalanffy Growth Function, given by$$begin{aligned} L = L_infty (1 – e^{-k(t-t_0)}) end{aligned}$$where (L) is the average F(_1) score, (L_infty) is the asymptotic maximum F(_1) score, (k) is the growth rate, (t) is the number of observations per species, and (t_0) is a hypothetical number of observations at which the F(_1) score is 0. The Von Bertalanffy curve was chosen as it contains a limited number of parameters which are intuitive to interpret, and fits the growth of model performance well.The estimated increase in performance at any given point is then given by the slope of this function, i.e. the result of the differentiation of the Von Bertalanffy Growth Curve, given41 by$$begin{aligned} frac{dL}{dt} = bke^{-kt} end{aligned}$$where$$begin{aligned} b = L_infty e^{kt_0} end{aligned}$$Using this derivative function, we can estimate the expected performance increase stemming from one additional observation with images for each of the species within the order. Filling in the average number of citizen science observations with images per Norwegian species in that order for t, and dividing the result by the total number of Norwegian species within the order, provides the VoI of one additional observation with images for that order, expressed as an average expected F(_1) increase. More

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    My family and other parasites: more worm species are named for loved ones

    Diomedenema dinarctos, a parasitic worm that infests penguins, is named after the Greek deinos, meaning terrible, and arktos, or bear, because of its resemblance to a menacing teddy bear.Credit: Bronwen Presswell and Jerusha Bennett

    What scientists choose to name parasitic worms could say more about the researchers than the organism they are studying.A study1 examining the names of nearly 3,000 species of parasitic worm discovered in the past 20 years reveals a markedly higher proportion named after male scientists than after female scientists — and a growing appetite for immortalizing friends and family members in scientific names.The analysis uncovers ongoing biases in taxonomy — the classification of organisms — and could be used as a jumping-off point for rethinking how scientists name species, says study co-author Robert Poulin, an ecological parasitologist at the University of Otago in Dunedin, New Zealand.“When you name something, it is now named forever. I think it’s worth giving some thought to what names we choose,” he says. The research was published on 11 May in Proceedings of the Royal Society B.As the worm turnsSpecies names often describe how an organism looks or where it was found. But since the nineteenth century, they have also been used to immortalize scientists. The parasite that causes the intestinal disease giardiasis, for instance, was named after French zoologist Alfred Giard.Wondering how naming practices had changed, Poulin and his colleagues combed through papers published between 2000 and 2020 that describe roughly 2,900 new species of parasitic worm. The team found that well over 1,500 species were named after their host organism, where they were found or a prominent feature of their anatomy.Many others were named after people, ranging from technical assistants to prominent politicians (Baracktrema obamai, a species found in Malaysian freshwater turtles, was named after former US president Barack Obama). But just 19% of the 596 species named after eminent scientists were named after women, a percentage that essentially didn’t budge over the decades (see ‘Parasite name game’).

    Source: Ref. 1

    This could be because of a historical dearth of female figures in the field, says Janine Caira, a parasite taxonomist at the University of Connecticut in Storrs. But another possibility is that the work of past female scientists often goes unrecognized, says Tanapan Sukee, a parasitologist at the University of Melbourne in Australia.Sukee has named two species of parasitic worm after now-deceased Australian biologist Patricia Mawson, who was a key player in the characterization of marsupial parasites. For most of her career, Mawson worked part-time as a technician, and she was often designated second author on papers describing species she had discovered, Sukee says. Similar situations could explain why so few parasites are named after women.Poulin and his colleagues also noticed an upward trend in the number of parasites named after friends and family members of the scientists who formally described them. Some researchers even name species after pets: Rhinebothrium corbatai is a freshwater stingray parasite named after the first author’s Welsh terrier, Corbata.Poulin says this should be discouraged. Species are almost never named after the person who described them, and Poulin argues that names honouring parents, children or spouses could be seen as a way to get around this convention.And besides, “I don’t have any friends or family who want a parasite named after them!” says Sukee. More

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    Pollen-mediated transfer of herbicide resistance between johnsongrass (Sorghum halepense) biotypes

    Plant materialsAn ALS-inhibitor-resistant johnsongrass (resistant to nicosulfuron) obtained from the University of Nebraska-Lincoln (source credit: Dr. John Lindquist) was used as the pollen source (male parent), and the natural johnsongrass population present in the experimental field at the Texas A&M University Farm, Somerville (Burleson County), Texas (30° 32′ 15.4″ N 96° 25′ 49.2″ W) with no history of ALS-inhibitor resistance was used as the pollen recipient (female parent). Prior to the initiation of the field experiment, the susceptibility to nicosulfuron of the natural johnsongrass population was verified by spraying Accent Q at the labeled field rate of 63 g ai ha−1 [mixed with 0.25% v/v Crop Oil Concentrate (COC)] on 10 randomly selected 1 m2 johnsongrass patches across the field area at 15–30 cm tall seedling stage. For this purpose, a CO2 pressurized backpack sprayer was calibrated to deliver 140 L ha−1 of spray volume at an operating speed of 4.8 kmph. The natural johnsongrass population was determined to be completely susceptible to nicosulfuron.During spring 2018, the seeds of AR johnsongrass were planted in pots (14-cm diameter and 12-cm tall) filled with potting soil mixture (LC1 Potting Mix, Sungro Horticulture Inc., Agawam, MA, USA) at the Norman Borlaug Center for Southern Crop Improvement Greenhouse Research Facility at Texas A&M University. The environmental conditions were set at 26/22 °C day/night temperature regime and a 14-h photoperiod. In each pot, 5 seeds were planted and thinned to one healthy seedling at 1-leaf stage. Seedlings were supplied with sufficient water and nutrients (Miracle-Gro Water Soluble All Purpose Plant Food, Scotts Miracle-Gro Products Inc., 14111 Scottslawn Road, Marysville, OH 43041). A total of 50 seedlings were established in the greenhouse and were maintained until they reached about 10 cm tall, at which point they were sprayed with 2× the field rate of nicosulfuron (63 × 2 = 126 g ai ha−1) (mixed with 0.25% v/v COC). The herbicide was applied using a track-sprayer (Research Track Sprayer, DeVries, Hollandale, MN) fitted with a flat fan nozzle (TeeJet XR110015) that was calibrated to deliver a spray volume of 140 L ha−1 at 276 kPa pressure, and at an operating speed of 4.8 kmph. All treated seedlings that survived the herbicide application at 21 days after treatment (DAT) were then used as the pollen donor in the field gene flow experiment. All plant materials were handled in accordance with relevant guidelines and regulations. No permissions or licenses were required for collecting the johnsongrass samples from the experimental fields.Dose–response assaysThe degree of resistance/susceptibility to nicosulfuron of the AR and AS johnsongrass biotypes were determined using a classical dose–response experiment. The assay consisted of seven rates (0, 0.0625, 0.125, 0.25, 0.5, 1, and 2×) for the AS population and nine rates (0, 0.25, 0.5, 1, 2, 4, 8, 16, and 32×) for the AR population [1 × (field recommended rate) = 63 g ai ha−1 of Accent Q]. The experimental units were arranged in a completely randomized design with four replications. Seeds of AR and AS plants were planted in plastic trays (25 × 25 cm) filled with commercial potting-soil mix (LC1 Potting Mix, Sungro Horticulture Inc., Agawam, MA, USA) and maintained at 26/22 °C day/night cycle with a 14-h photoperiod in the greenhouse. Seedlings at 1–2 leaf stage were thinned to 20 seedlings per tray; four replications each of 20 seedlings per dose were considered. The seedlings were watered and fertilized as needed. The assay was conducted twice, thus a total of 160 seedlings were screened for each dose.The established seedlings were sprayed with the appropriate herbicide dose at the 10–15 cm tall seedling stage. The herbicide was applied using a track sprayer calibrated to deliver a spray volume of 140 L ha−1 at 4.8 kmph operating speed. Survival (%) and injury (%) were assessed at 28 DAT. Any plant that failed to grow out of the herbicide impact was considered dead. Plant injury was rated for each plot (i.e. on the 20 seedlings per rep) on a scale of 0–100%, where 0 indicates no visible impact compared to the nontreated control and 100 indicates complete death of all plants in the tray. Immediately after the visual ratings were completed, shoot biomass produced by the 20 plants from each tray was determined by harvesting all the tissues at the soil level and drying them in an oven at 60 °C for 72 h. Seedling mortality data were used for fitting dose–response curves that allowed for determining the lethal dose that caused 100% mortality of the susceptible biotype. This dose was used as a discriminant dose to distinguish between a hybrid (that confers resistance to nicosulfuron as a result of gene flow) and a selfed progeny (susceptible to nicosulfuron) in the field gene flow study.Field experimental location and set-upThe field experiment was conducted across two ENVs in 2018 (summer and fall) and one in 2019 (fall) at the Texas A&M University Farm, Somerville (Burleson County), Texas (30° 32′ 15.4″ N 96° 25′ 49.2″ W). The study site is characterized by silty clay loam soil with an average annual rainfall of 98.2 cm. The field experiment followed the Nelder-wheel design40, i.e. concentric donor-receptor design, a widely used method for gene flow studies, wherein the pollen-donors are surrounded by the pollen-receptors (Fig. 1). In this study, the AR plants (planted in the central block of the wheel) served as the pollen-donors, whereas the AS plants (present in the spokes) served as the pollen-receptors.Figure 1Aerial view of the experimental arrangement that was used to quantify pollen-mediated gene flow from ALS-inhibitor resistant (AR) to -susceptible (AS) johnsongrass at the Texas A&M University Research Farm near College Station, Texas. AR johnsongrass plants were transplanted in the pollen-donor block of 5 m diameter at the center of the field. The surrounding pollen-receptor area was divided into four cardinal (N, E, S, W) and four ordinal (NE, SE, SW, NW) directional blocks where naturally-existing AS johnsongrass plants were used as the pollen-recipients. AS panicles exhibiting flowering synchrony with AR plants were tagged at specific distances (5–50 m, at 5 m increments) along the eight directional arms. A tall-growing biomass sorghum border was established in the perimeter of the experimental site to prevent pollen inflow from outside areas.Full size imageThe center of the wheel was 5 m in diameter, and each spoke was 50 m long starting at the periphery of the central circular block. Thirty AR plants (pollen-donors) were transplanted in four concentric rings of 1, 5, 9, and 15 plants in the 5 m diameter central block, surrounded by the pollen-receptors (i.e. AS plants) (Fig. 1). The AR plants were contained within the central block during the 2 years of the field experiment by harvesting and removing all mature seeds and removing any expanding rhizomatous shoots. Further, field cultivation was completely avoided in the central block throughout the study period. Any newly emerging johnsongrass plants (seedling/rhizomatous) other than the transplanted AR plants in the central block were removed periodically by manual uprooting.The wheel consisted of eight spokes (i.e. directional blocks) arranged in four cardinal (N, E, S, W) and four ordinal (NE, SE, NW, SW) directions (Fig. 1). The plots to quantify gene flow frequency were arranged at 0 (border of the central block), 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50 m distances from the central block in all eight directions (Fig. 1). Each plot measured 3 × 2 m and the area surrounding the plots was shredded prior to the booting stage with a Rhino® RC flail shredder (RHINOAG, INC., Gibson City, IL 60936).A tall-growing biomass sorghum border (6 m wide) was established surrounding the experimental area in all directions to prevent potential inflow of pollen from other Sorghum spp. in the nearby areas. Additionally, prevailing weather conditions, specifically wind direction, wind speed, relative humidity, and air temperature measured at 5-min intervals were obtained from a nearby weather station located within the Texas A&M research farm (http://afs102.tamu.edu/). The field did not require any specific agronomic management in terms of irrigation, fertilization, or pest management.Flowering synchrony, tagging, and seed harvestingAt peak flowering, when  > 50% of the plants in the AR block started anther dehiscence (i.e., pollen shedding), ten AS panicles (five random plants × 2 panicles per plant) that showed flowering synchrony with AR plants and displayed protruded, receptive stigma were tagged using colored ribbons at each distance and direction. At seed maturity, the tagged AS panicles were harvested separately for each distance and direction. Panicles were threshed, seeds were cleaned manually, and stored under room conditions until used in the herbicide resistance screening to facilitate after-ripening and dormancy release.Resistance screeningThe hybrid progeny produced on AS plants as a result of outcrossing with AR plants would be heterozygous for the allele harboring nicosulfuron resistance, and would exhibit survival upon exposure to the herbicide applied at the discriminant dose at which all wild type (AS) plants would die. The discriminant dose was determined using the dose–response study described above. Thus, the frequency of resistant plants in the progeny would represent outcrossing/gene flow (%).To effectively detect the levels of gene flow from AR to AS biotypes especially at low frequencies, the minimum sample size required for resistance screening was determined based on the following formula (Eq. 1)41:$${text{N }} = {text{ ln}}left( {{1} – P} right)/{text{ln}}left( {{1} – p} right),$$
    (1)
    where P is the probability of detecting a resistant progeny in the least frequent class and p is the probability of the least frequent class. Based on this formula, a minimum of 298 to as high as 916 plants were screened for each distance within each direction, allowing for a 1% detection level (p = 0.01) with a 95% (P = 0.95) confidence interval.Approximately one-year old progeny seeds harvested from the AS plants were scarified using a sandpaper for 15–20 s to release dormancy. The seeds for each distance within each direction were planted in four replicates of plastic trays (50 × 25 cm) filled with potting soil mixture (LC1 Potting Mix, Sungro Horticulture Inc., Agawam, MA, USA). The plants were raised at the Norman Borlaug Center for Southern Crop Improvement Greenhouse Research Facility at Texas A&M University. The greenhouse was maintained at 28/24 °C day/night temperature regime and a 14-h photoperiod. About 10–15 cm tall seedlings were sprayed with the discriminant dose of the ALS-inhibitor nicosulfuron (Accent Q, 95 g ai ha−1) using a spray chamber (Research Track Sprayer, DeVries, Hollandale, MN) fitted with a flat fan nozzle (TeeJet XR110015) that was calibrated to deliver a spray volume of 140 L ha−1 at 276 kPa pressure, operating at a speed of 4.8 kmph. At 28 DAT, percent seedling survival was determined based on the number of plants that survived the herbicide application out of the total number of plants sprayed. The number of plants in each tray was counted before spraying.Molecular confirmation of hybridsLeaf tissue samples were collected from thirty random surviving plants (putative resistant) in the herbicide resistance screening study for each of the three field ENVs, thus totaling 90 samples. Genomic DNA was extracted from 100 mg of young leaf tissue using the modified CTAB protocol42. The concentration of DNA was determined using a Nanodrop 1000 UV–Vis spectrophotometer (DeNovix DS-II spectrophotometer, DeNovix Inc., Wilmington, DE 19810, USA). DNA was then diluted to a concentration of 20 ng/µl for PCR assay. The nicosulfuron-resistant johnsongrass from Nebraska used in this study possessed the Trp574Leu mutation39. Hence, single nucleotide polymorphism (SNP) primers targeting a unique short-range haplotype of Inzen® sorghum (Val560Ile + Trp574Leu) were performed using the PCR Allele Competitive Extension (PACE) platform to confirm the resistant plants43. The SNP primers and the PACE genotyping master mix were obtained from Integrated DNA Technologies (IDT) Inc. (Coralville, IA) and 3CR Bioscience (Harlow CM20 2BU, United Kingdom), respectively. In addition to the two no-template controls (NTCs), two nicosulfuron-resistant johnsongrass, one wild-type johnsongrass, and one Inzen® sorghum were also used in the PCR.The PCR was performed according to the manufacturer’s protocol (Bio-Rad Laboratories, Inc., Hercules, CA), with denaturation for 15 min at 94 °C, followed by 10 cycles of denaturation at 94 °C for 20 s, annealing and extension at 65–57 °C for 60 s, 30 cycles of denaturation for 20 s at 94 °C, and annealing and extension for 60 s at 57 °C. Fluorescence of the reaction products were detected using a BMG PHERAStar plate reader that uses the FAM (fluorescein amidite) and HEX (hexachloro-fluorescein) fluorophores.Data analysisFor the dose–response assay, three-parameter sigmoidal curves (Eq. 2) were fit on the seedling mortality data for the AS and AR biotypes (with log of herbicide doses), using SigmaPlot version 14.0 (Systat Software Inc., San Jose, CA).$$y=b/[1+{exp}^{left(-(x-eright)/c)}],$$
    (2)
    where, y is the mortality (%), x is the herbicide dose (g ai ha−1), b is the slope around e, c is the lower limit (theoretical minimum for y normalized to 0%), and e = LD50 (inflection point, mid-point or estimated herbicide dose when y = 50%). Windrose plots that represented wind speed and frequency during the flowering window in each of the eight directions were created using a macro in Microsoft Excel. Progeny seedling survival (%) that represents gene flow (%) was determined using Eq. (3).$${text{PMGF }}left( {text{%}} right){ } = { }left( frac{X}{Y} right)_{{i,j{ }}} times { }100,$$
    (3)
    where, X is the number of plants that survived the herbicide application, Y is the total number of plants sprayed for ith distance in jth direction.To test whether gene flow frequencies varied among the directions, ANOVA was conducted using JMP PRO v.14 (SAS Institute, Cary, NC, USA), based on the average gene flow frequency values in each direction; ENVs were considered as replicates in this analysis. A non-linear regression analysis for gene flow rate, describing an exponential decay function (Eq. 4), was fit using SigmaPlot based on the gene flow frequencies observed at different distances pooled across the directions and ENVs.$$y=y0+left[atimes {exp}^{left(-btimes xright)}right],$$
    (4)
    where, y is the PMGF (%), x is the distance (m) from pollen source, y0 is the lower asymptote (theoretical minimum for y normalized to 0%), a is the inflection point, mid-point or estimated distance when y = 50%, and b is the slope around a.A Pearson correlation analysis was conducted to determine potential association between PMGF [overall PMGF, short-distance PMGF (5 m), and long-distance PMGF (50 m)] and the environmental parameters temperature, relative humidity, and dew point. Further, a correlation analysis was also conducted to understand the association between PMGF frequencies and specific wind parameters such as wind frequency, wind speed, and gust speed. The molecular data were analyzed using KlusterCaller 1.1 software (KBioscience). More

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    Fine-scale topographic influence on the spatial distribution of tree species diameter in old-growth beech (Fagus orientalis Lipsky.) forests, northern Iran

    Frelich, L. E. Forest Dynamics and Disturbance Regimes, Study from Every Green and Deciduous Temperate Forest 287 (Cambridge University Press, 2002).Book 

    Google Scholar 
    Hadley, K. S. The role of disturbance, topography, and forest structure in the development of a montane forest landscape. J. Torrey Bot. Soc. 121(1), 47–61 (1994).Article 

    Google Scholar 
    Gracia, M., Montane, F., Pique, J. & Retana, J. Overstory structure and topographic gradients determining diversity and abundance of understory shrub species in temperate forests in central Pyrenees (NE Spain). For. Ecol. Manag. 242, 391–397 (2007).Article 

    Google Scholar 
    Scheller, R. M. & Mladenoff, D. J. Understory species patterns and diversity in old-growth and managed northern hardwood forests. Ecol. Appl. 12(5), 1329–1343 (2002).Article 

    Google Scholar 
    Sagheb-Talebi, K., Sajedi, T. & Pourhashemi, M. Forest of Iran, a Treasure from the Past, a Hope for the Future 145 (Springer, 2014).
    Google Scholar 
    Homami Totmaj, L., Alizadeh, K., Giahchi, P., Darvishi Khatooni, J. & Behling, H. Late Holocene Hyrcanian forest and environmental dynamics in the mid-elevated highland of the Alborz Mountains, northern Iran. Rev. Palaeobot. Palynol. 295, 104507 (2021).Article 

    Google Scholar 
    Vakili, M. et al. Resistance and resilience of Hyrcanian mixed forests under natural and anthropogenic disturbances. Front. For. Glob. Change 4, 98 (2021).Article 

    Google Scholar 
    Aguirre, O., Hui, G., von Gadow, K. & Jiménez, J. An analysis of spatial forest structure using neighbourhood-based variables. For. Ecol. Manag. 183(1–3), 137–145 (2003).Article 

    Google Scholar 
    Li, Y., Hui, G., Zhao, Z., Hu, Y. & Ye, S. Spatial structural characteristics of three hardwood species in Korean pine broad-leaved forest—Validating the bivariate distribution of structural parameters from the point of tree population. For. Ecol. Manag. 314, 17–25 (2014).Article 

    Google Scholar 
    Condit, R. et al. Spatial patterns in the distribution of tropical tree species. Science 288(5470), 1414–8 (2000).ADS 
    CAS 
    PubMed 
    Article 

    Google Scholar 
    Lü, C. et al. Population structure and spatial patterns of Haloxylon ammodendron population along the northwestern edge of Junggar basin. J. Desert Res. 32, 380–387 (2012).ADS 

    Google Scholar 
    Fazlollahi Mohammadi, M., Jalali, S. G., Kooch, Y. & Theodose, T. A. The influence of landform on the understory plant community in a temperate Beech forest in northern Iran. Ecol. Res. 30, 385–394 (2015).Article 

    Google Scholar 
    Fazlollahi Mohammadi, M., Jalali, S. G., Kooch, Y. & Said-Pullicino, D. Slope Gradient and Shape Effects on Soil Profiles in the Northern Mountainous Forests of Iran. Euras. Soil Sci. 49(12), 1366–1374 (2016).ADS 
    Article 

    Google Scholar 
    Fazlollahi Mohammadi, M., Jalali, S. G., Kooch, Y. & Said-Pullicino, D. The effect of landform on soil microbial activity and biomass in a Hyrcanian oriental beech stand. CATENA 149, 309–317 (2017).CAS 
    Article 

    Google Scholar 
    Fazlollahi Mohammadi, M., Jalali, S. G., Kooch, Y. & Theodose, T. A. Tree species composition biodiversity and regeneration in response to catena shape and position in a mountain forest. Scand. J. For. Res. 32(1), 80–90 (2017).Article 

    Google Scholar 
    Harms, K. E., Condit, R., Hubbell, S. P. & Foster, R. B. Habitat association of tree and shrubs in a 50-ha neotropical forest plot. J. Ecol. 89, 947–959 (2001).Article 

    Google Scholar 
    Gunatilleke, C. V. S. et al. Species-habitat associations in a Sri Lank and ipterocap forest. J. Trop. Ecol. 22, 371–378 (2006).Article 

    Google Scholar 
    Rubino, D. L. & McCarthy, B. C. Evaluation of coarse woody debris and forest vegetation across topographic gradients in a southern Ohio forest. For. Ecol. Manag. 183, 221–238 (2003).Article 

    Google Scholar 
    Mohsennezhad, M., Shokri, M., Zal, H. & Jafarian, Z. The effects of soil properties and physiographic factors on plant communities distribution in Behrestagh Rangeland. Rangeland 4(2), 262–275 (2010).
    Google Scholar 
    Sefidi, K., Esfandiary Darabad, F. & Azaryan, M. Effect of topography on tree species composition and volume of coarse woody debris in an Oriental beech (Fagus orientalis Lipsky) old growth forests, northern Iran. IFOREST Biogeosci. For. 9, 658–665 (2016).Article 

    Google Scholar 
    Valipour, A. et al. Relationships between forest structure and tree’s dimensions with physiographical factors in Armardeh forests (Northern Zagros). Iran. J. For. Poplar Res. 21(1), 30–47 (2013).
    Google Scholar 
    Clark, P. J. & Evans, F. C. Distance to nearest neighbor as a measure of spatial relationships in populations. Ecology 35, 445–453 (1954).Article 

    Google Scholar 
    Naqinezhad, A. et al. The combined effects of climate and canopy cover changes on understorey plants of the Hyrcanian forest biodiversity hotspot in northern Iran. Glob. Change Biol. 28(3), 1103–1118 (2022).Article 

    Google Scholar 
    Pelissaria, A. L. et al. Geostatistical modeling applied to spatiotemporal dynamics of successional tree species groups in a natural Mixed Tropical Forest. Ecol. Indic. 78, 1–7 (2017).Article 

    Google Scholar 
    Pretzsch, H. & Zenner, E. K. Toward managing mixed-species stands: From parametrization to prescription. For. Ecosyst. 4, 19 (2017).Article 

    Google Scholar 
    Yousefi, S. et al. Spatio-temporal variation of throughfall in a hyrcanian plain forest stand in Northern Iran. J. Hydrol. Hydromech. 66(1), 97–106 (2018).Article 

    Google Scholar 
    Soil Survey Staff. Keys to Soil Taxonomy 12th edn. (USDA-Natural Resources Conservation Service, 2014).
    Google Scholar 
    Land Info, L. L. C. http://www.landinfo.com/country-iran.html. Accessed (2013).Beven, K. J. & Kirkby, M. J. A. Physically based, variable contributing area model of basin hydrology/Un modèle à base physique de zone d’appel variable de l’hydrologie du basin versant. Hydrol. Sci. J. 24(1), 43–69 (1979).Article 

    Google Scholar 
    Bourgeron, P. S. Spatial aspects of vegetation structure. In Ecosystems of the World 14A—Tropical Rain Forest Ecosystems, Structure and Function (ed. Golley, F. B.) 29–47 (Elsevier, 1983).
    Google Scholar 
    Moeur, M. Characterizing spatial patterns of trees using stem-mapped data. For. Sci. 39(4), 756–775 (1993).ADS 

    Google Scholar 
    Chokkalingam, U. & White, A. Structure and spatial patterns of trees in old-growth northern hardwood and mixed forests of northern Maine. Plant Ecol. 156(2), 139–160 (2001).Article 

    Google Scholar 
    Ferhat, K. A. R. A. Spatial patterns of longleaf pine (Pinus palustris Mill.): A case study. Euras. J. For. Sci. 9(3), 151–159 (2021).
    Google Scholar 
    Pommerening, A. Approaches to quantifying forest structures. Forestry 75(3), 305–324 (2002).Article 

    Google Scholar 
    Pommerening, A. & Särkkä, A. What mark variograms tell about spatial plant interactions. Ecol. Model. 251, 64–72 (2013).Article 

    Google Scholar 
    Goovaerts, P. Geostatistical tools for characterizing the spatial variability of microbiological and physico-chemical soil properties. Biol. Fertil. Soils. 27, 315–334 (1998).CAS 
    Article 

    Google Scholar 
    Landim, P. M. B. & Sturaro, J. R. Krigagem indicativa aplicada à elaboração de mapas probabilísticos de riscos. Geomatematica, Texto didático, 6. DGA, IGCE, Universidade Estadual de São Paulo (UNESP), Rio Claro, São Paulo, Brazil. Available at: http://www.rc.unesp.br/igce/aplicada/textodi.html. Accessed 25/05/13 (2002).Deutsch, C. V. & Journel, A. G. GSLIB: Geostatistical Software Library and User’s Guide 119 (Oxford University Press, 1992).
    Google Scholar 
    Oliver, M. A. & Webster, R. Combining nested and linear sampling for determining the scale and form of spatial variation of regionalized variables. Geogr. Anal. 18, 227–242 (1986).Article 

    Google Scholar 
    Zhao, Z., Ashraf, M. I. & Meng, F. R. Model prediction of soil drainage classes over a large area using a limited number of field samples: A case study in the province of Nova Scotia, Canada. Can. J. Soil Sci. 93(1), 73–83 (2013).Article 

    Google Scholar 
    Brubaker, S. C., Jones, A. J., Lewis, D. T. & Frank, K. Soil properties associated with landscape position. Soil Sci. Soc. Am. J. 57, 235–239 (1993).ADS 
    Article 

    Google Scholar 
    Bellingham, P. J. & Tanner, E. V. J. The influence of topography on tree growth, mortality, and recruitment in a tropical Montane Forest. Biotropica 32(3), 378–384 (2000).Article 

    Google Scholar 
    Luizao, R. C. C. et al. Variation of carbon and nitrogen cycling processes along a topographic gradient in a Central Amazonian forest. Glob. Change Biol. 10, 592–600 (2004).ADS 
    Article 

    Google Scholar 
    Beaty, R. M. & Taylor, A. H. Spatial and temporal variation of fire regimes in a mixed conifer forest landscape, southern cascades, California, USA. J. Biogeogr. 28, 955–966 (2001).Article 

    Google Scholar 
    Castilho, C. V. et al. Variation in aboveground tree live biomass in a central Amazonian Forest: Effects of soil and topography. For. Ecol. Manag. 234, 85–96 (2006).Article 

    Google Scholar 
    Swanson, F. J., Kratz, T. K., Caine, N. & Woodmansee, R. G. Landform effects on eco-system patterns and processes. Biol. Sci. 38, 92–98 (1988).
    Google Scholar 
    Kooch, Y., Hosseini, S. M., Mohammadi, J. & Hojjati, S. M. Windthrow effects on biodiversity of natural forest ecosystem in local scale. Hum. Environ. 9(3), 65–72 (2011).
    Google Scholar 
    Köhl, M. & Gertner, G. Geostatistics in evaluating forest damage surveys: Considerations on methods for describing spatial distributions. For. Ecol. Manag. 95(2), 131–140 (1997).Article 

    Google Scholar 
    Habashi, H., Hosseini, S. M., Mohammadi, J. & Rahmani, R. Stand structure and spatial pattern of trees in mixed Hyrcanian beech forests of Iran. Iran. J. For. Poplar Res. 15(1), 64–55 (2007).
    Google Scholar 
    Von Oheimb, G., Westphal, C., Tempel, H. & Härdtle, W. Structural pattern of a near-natural beech forest (Fagus sylvatica) (Serrahn, North-east Germany). For. Ecol. Manag. 212, 253–263 (2005).Article 

    Google Scholar 
    Kunstler, G., Curt, T. & Lepart, J. Spatial pattern of beech (Fagus sylvatica L.) and oak (Quercus pubescens Mill.) seedlings in natural pine (Pinus sylvestris L.) woodlands. Eur. J. For. Res. 123(4), 331–337 (2004).Article 

    Google Scholar 
    Mosandl, R. & Kleinert, A. Development of oaks (Quercus petraea (Matt.) Liebl.) emerged from bird-dispersed seeds under old-growth pine (Pinus sylvestris L.) stands. For. Ecol. Manag. 106, 35–44 (1998).Article 

    Google Scholar 
    Hosseini, A., Jafari, M. R. & Askari, S. Investigation and recognition of ecological characteristics of sites of Persian oak and pistachio old trees in forests of Ilam province. Wood Sci. Technol. 26(4), 113–128 (2019).
    Google Scholar 
    Ghalandarayeshi, S., Nord-Larsen, T., Johannsen, V. K. & Larsen, J. B. Spatial patterns of tree species in Suserup Skov—A semi-natural forest in Denmark. For. Ecol. Manag. 406, 391–401 (2017).Article 

    Google Scholar 
    Petritan, I. C., Marzano, R., Petritan, A. M. & Lingua, E. Overstory succession in a mixed Quercus petraea-Fagus sylvatica old growth forest revealed through the spatial pattern of competition and mortality. For. Ecol. Manag. 326, 9–17 (2014).Article 

    Google Scholar 
    Watt, A. S. On the ecology of British Beech woods with special reference to their regeneration: Part II, sections II and III. The development and structure of beech communities on the Sussex downs. J. Ecol. 13, 27–73 (1925).Article 

    Google Scholar 
    Wiegand, T., Gunatilleke, S., Gunatilleke, N. & Okuda, T. Analyzing the spatial structure of a Sri Lankan tree species with multiple scales of clustering. Ecology 88, 3088–3102 (2007).PubMed 
    Article 

    Google Scholar 
    Moradi, M., Marvie Mohadjer, M. R., Sefidi, K., Zobiri, M. & Omidi, A. Over matured beech trees (Fagus orientalis Lipsky.) component of close to nature forestry in northern Iran. J. For. Res. 23(2), 289–294 (2012).Article 

    Google Scholar 
    Lan, G. Y. et al. Spatial dispersion patterns of trees in a tropical rainforest in Xishuangbanna, southwest China. Ecol. Res. 24, 1117–1124 (2009).ADS 
    Article 

    Google Scholar 
    Lan, G., Hu, Y., Cao, M. & Zhu, H. Topography related spatial distribution of dominant tree species in a tropical seasonal rain forest in China. For. Ecol. Manag. 262(8), 1507–1513 (2011).Article 

    Google Scholar 
    Menendez, I., Moreno, G., Fernando Gallardo Lancho, J. & Saavedra, J. Soil solution composition in forest soils of sierra de gata mountains, Central-Western Spain: Relationship with soil water content. Arid Land Res. Manag. 9(4), 495–502 (1995).
    Google Scholar 
    Kopecký, M., Macek, M. & Wild, J. Topographic Wetness Index calculation guidelines based on measured soil moisture and plant species composition. Sci. Total Environ. 757, 143785 (2021).ADS 
    PubMed 
    Article 
    CAS 

    Google Scholar 
    Delfan Abazari, B., Sagheb-Talebi, K. & Namiranian, M. Development stages and dynamic of undisturbed Oriental beech (Fagus orientalis Lipsky) stands in Kelardasht region (Iran). Iran. J. For. Poplar Res. 12, 307–326 (2004) ((in Persian)).
    Google Scholar 
    Sagheb-Talebi K., Delfan Abazari B. & Namiranian M. Description of decay stage in a natural Oriental beech (Fagus orientalis Lipsky) forest in Iran, preliminary results. In Natural Forests in the Temperate Zone of Europe – Values and Utilization (eds. Commarmot, B. & Hamor, F.D.), Proceedings of conference in Mukachevo, Oct 13–17, 130–134 (2003).Christensen, M., Emborg, J. & Nielsen, A. B. The forest cycle of Suserup Skov: Revisited and revised. Ecol. Bull. 52, 33–42 (2007).
    Google Scholar 
    Dobrowolska, D. et al. A review of European ash (Fraxinus excelsior L.): Implications for silviculture. Forestry 84, 133–148 (2011).Article 

    Google Scholar 
    Akhani, H., Djamali, M., Ghorbanalizadeh, A. & Ramezani, E. Plant biodiversity of Hyrcanian relict forests, N Iran: An overview of the flora, vegetation, palaeoecology and conservation. Pak. J. Bot. 42(1), 231–258 (2010).
    Google Scholar 
    Pourmajidian, M. R. et al. Effect of shelterwood cutting method on forest regeneration and stand structure in a Hyrcanian forest ecosystem. J. For. Res. 21, 265–272 (2010).Article 

    Google Scholar 
    Szwagrzyk, J. & Szewczyk, J. Tree mortality and effects of release from competition in an old-growth Fagus-Abies-Picea stand. J. Veg. Sci. 12, 621–626 (2001).Article 

    Google Scholar 
    Janík, D. et al. Tree spatial patterns of Fagus sylvatica expansion over 37 years. For. Ecol. Manag. 375, 134–145 (2016).Article 

    Google Scholar 
    Amiri, M. Dynamics of Structural Characteristics of a Natural Unlogged Fagus orientalis Lipsky Stand during a 5-year’s Period in Shast-Kalate Forest, Gorgan, Iran, Ph.D. Dissertation, Gorgan University of Agricultural Sciences and Natural Resources, Gorgan (2013) (in Persian).Soofi, M. Effects of anthropogenic pressure on large mammal species in the Hyrcanian forest, Iran: Effects of poaching, logging and livestock grazing on large mammals (Doctoral dissertation, Dissertation, Göttingen, Georg-August Universität, 2018). More

  • in

    Pulses in silicic arc magmatism initiate end-Permian climate instability and extinction

    Courtillot, V. E. & Renne, P. R. On the ages of flood basalt events. C. R. Geosci. 335, 113–140 (2003).Article 

    Google Scholar 
    Campbell, I., Czamanske, G., Fedorenko, V., Hill, R. & Stepanov, V. Synchronism of the Siberian Traps and the Permian–Triassic boundary. Science 258, 1760–1763 (1992).Article 

    Google Scholar 
    Burgess, S. D. & Bowring, S. A. High-precision geochronology confirms voluminous magmatism before, during, and after Earth’s most severe extinction. Sci. Adv. 1, e1500470 (2015).Article 

    Google Scholar 
    Payne, J. L. & Clapham, M. E. End-Permian mass extinction in the oceans: an ancient analog for the twenty-first century? Annu. Rev. Earth Planet. Sci. 40, 89–111 (2012).Article 

    Google Scholar 
    Schneebeli-Hermann, E. et al. Evidence for atmospheric carbon injection during the end-Permian extinction. Geology 41, 579–582 (2013).Article 

    Google Scholar 
    Lee, C. & Lackey, J. Global continental arc flare-ups and their relation to long-term greenhouse conditions. Elements 11, 125–130 (2015).Article 

    Google Scholar 
    McKenzie, N. R. et al. Continental arc volcanism as the principal driver of icehouse-greenhouse variability. Science 352, 444–447 (2016).Article 

    Google Scholar 
    Ratschbacher, B. C., Paterson, S. R. & Fischer, T. P. Spatial and depth‐dependent variations in magma volume addition and addition rates to continental arcs: application to global CO2 fluxes since 750 Ma. Geochem. Geophys. Geosyst. 20, 2997–3018 (2019).Article 

    Google Scholar 
    Soreghan, G. S., Soreghan, M. J. & Heavens, N. G. Explosive volcanism as a key driver of the late Paleozoic ice age. Geology 47, 600–604 (2019).Article 

    Google Scholar 
    Jones, M. T., Sparks, R. S. J. & Valdes, P. J. The climatic impact of supervolcanic ash blankets. Clim. Dyn. 29, 553–564 (2007).Article 

    Google Scholar 
    DeCelles, P. G., Ducea, M. N., Kapp, P. & Zandt, G. Cyclicity in cordilleran orogenic systems. Nat. Geosci. 2, 251–257 (2009).Article 

    Google Scholar 
    Ducea, M. N., Paterson, S. R. & DeCelles, P. G. High-volume magmatic events in subduction systems. Elements 11, 99–104 (2015).Article 

    Google Scholar 
    Milan, L. A., Daczko, N. R. & Clarke, G. L. Cordillera Zealandia: a Mesozoic arc flare-up on the palaeo-Pacific Gondwana Margin. Sci. Rep. 7, 261 (2017).Article 

    Google Scholar 
    Gravley, D. M., Deering, C. D., Leonard, G. S. & Rowland, J. V. Ignimbrite flare-ups and their drivers: a New Zealand perspective. Earth Sci. Rev. 162, 65–82 (2016).Article 

    Google Scholar 
    de Silva, S. L., Riggs, N. R. & Barth, A. P. Quickening the pulse: fractal tempos in continental arc magmatism. Elements 11, 113–118 (2015).Article 

    Google Scholar 
    Attia, S., Cottle, J. M. & Paterson, S. R. Erupted zircon record of continental crust formation during mantle driven arc flare-ups. Geology 48, 446–451 (2020).Article 

    Google Scholar 
    Chisholm, E.-K. I., Simpson, C. & Blevin, P. New SHRIMP U–Pb Zircon Ages from the New England Orogen, New South Wales: July 2010–June 2012 (Geoscience Australia, 2014).McPhie, J. Evolution of a non-resurgent cauldron: the Late Permian Coombadjha volcanic complex, northeastern New South Wales, Australia. Geol. Mag. 123, 257–277 (1986).Article 

    Google Scholar 
    Lackie, M. The magnetic fabric of the Late Permian Dundee Ignimbrite, Dundee, NSW. Explor. Geophys. 19, 481–488 (1988).Article 

    Google Scholar 
    Stewart, A. Facies in an Upper Permian volcanic succession, Emmaville Volcanics, Deepwater, northeastern New South Wales. Aust. J. Earth Sci. 48, 929–942 (2001).Article 

    Google Scholar 
    Milan, L. A. et al. A new reconstruction for Permian East Gondwana based on zircon data from ophiolite of the East Australian Great Serpentinite Belt. Geophys. Res. Lett. 48, e2020GL090293 (2021).Article 

    Google Scholar 
    Rosenbaum, G. The Tasmanides: Phanerozoic tectonic evolution of eastern Australia. Annu. Rev. Earth Planet. Sci. 46, 291–325 (2018).Article 

    Google Scholar 
    Shaw, S., Flood, R. & Pearson, N. The New England Batholith of eastern Australia: evidence of silicic magma mixing from zircon 176Hf/177Hf ratios. Lithos 126, 115–126 (2011).Article 

    Google Scholar 
    Kohn, B. et al. Shaping the Australian crust over the last 300 million years: insights from fission track thermotectonic imaging and denudation studies of key terranes. Aust. J. Earth Sci. 49, 697–717 (2002).Article 

    Google Scholar 
    Metcalfe, I., Crowley, J., Nicoll, R. & Schmitz, M. High-precision U–Pb CA-TIMS calibration of Middle Permian to Lower Triassic sequences, mass extinction and extreme climate-change in eastern Australian Gondwana. Gondwana Res. 28, 61–81 (2015).Article 

    Google Scholar 
    Laurie, J. et al. Calibrating the Middle and Late Permian palynostratigraphy of Australia to the geologic time-scale via U–Pb zircon CA-IDTIMS dating. Aust. J. Earth Sci. 63, 701–730 (2016).Article 

    Google Scholar 
    Creech, M. Tuffaceous deposition in the Newcastle Coal Measures: challenging existing concepts of peat formation in the Sydney Basin, New South Wales, Australia. Int. J. Coal Geol. 51, 185–214 (2002).Article 

    Google Scholar 
    Vajda, V. et al. End-Permian (252 Mya) deforestation, wildfires and flooding—an ancient biotic crisis with lessons for the present. Earth Planet. Sci. Lett. 529, 115875 (2020).Article 

    Google Scholar 
    Frank, T. D. et al. Pace, magnitude, and nature of terrestrial climate change through the end-Permian extinction in southeastern Gondwana. Geology, 49, 1089–1095 (2021).Grevenitz, P., Carr, P. & Hutton, A. Origin, alteration and geochemical correlation of Late Permian airfall tuffs in coal measures, Sydney Basin, Australia. Int. J. Coal Geol. 55, 27–46 (2003).Article 

    Google Scholar 
    Phillips, L. et al. U–Pb geochronology and palynology from Lopingian (Upper Permian) coal measure strata of the Galilee Basin, Queensland, Australia. Aust. J. Earth Sci. 65, 153–173 (2018).Article 

    Google Scholar 
    Siégel, C., Bryan, S., Allen, C., Gust, D. & Purdy, D. Crustal evolution in the New England Orogen, Australia: repeated igneous activity and scale of magmatism govern the composition and isotopic character of the continental crust. J. Petrol., 61, 1–28 (2020).Wang, X. et al. Convergent continental margin volcanic source for ash beds at the Permian–Triassic boundary, South China: constraints from trace elements and Hf-isotopes. Palaeogeogr. Palaeoclimatol. Palaeoecol. 519, 154–165 (2019).Article 

    Google Scholar 
    Nelson, D. & Cottle, J. Tracking voluminous Permian volcanism of the Choiyoi Province into central Antarctica. Lithosphere 11, 386–398 (2019).Article 

    Google Scholar 
    He, B., Zhong, Y.-T., Xu, Y.-G. & Li, X.-H. Triggers of Permo-Triassic boundary mass extinction in South China: the Siberian Traps or Paleo-Tethys ignimbrite flare-up? Lithos 204, 258–267 (2014).Article 

    Google Scholar 
    Cope, T. Phanerozoic magmatic tempos of North China. Earth Planet. Sci. Lett. 468, 1–10 (2017).Article 

    Google Scholar 
    Sun, Y. et al. Lethally hot temperatures during the Early Triassic greenhouse. Science 338, 366–370 (2012).Article 

    Google Scholar 
    Jin, Y. et al. Pattern of marine mass extinction near the Permian–Triassic boundary in South China. Science 289, 432–436 (2000).Article 

    Google Scholar 
    Song, H., Wignall, P. B., Tong, J. & Yin, H. Two pulses of extinction during the Permian–Triassic crisis. Nat. Geosci. 6, 52–56 (2013).Article 

    Google Scholar 
    Ramezani, J. & Bowring, S. A. Advances in numerical calibration of the Permian timescale based on radioisotopic geochronology. Geol. Soc. Spec. Publ. 450, 51–60 (2018).Article 

    Google Scholar 
    Joachimski, M. M. et al. Climate warming in the latest Permian and the Permian–Triassic mass extinction. Geology 40, 195–198 (2012).Article 

    Google Scholar 
    Alroy, J. et al. Phanerozoic trends in the global diversity of marine invertebrates. Science 321, 97–100 (2008).Article 

    Google Scholar 
    Mundil, R., Ludwig, K. R., Metcalfe, I. & Renne, P. R. Age and timing of the Permian mass extinctions: U/Pb dating of closed-system zircons. Science 305, 1760–1763 (2004).Article 

    Google Scholar 
    Chen, B. et al. Permian ice volume and palaeoclimate history: oxygen isotope proxies revisited. Gondwana Res. 24, 77–89 (2013).Article 

    Google Scholar 
    Shen, S. Z. et al. High‐resolution Lopingian (Late Permian) timescale of South China. Geol. J. 45, 122–134 (2010).Article 

    Google Scholar 
    Shellnutt, J. G., Denyszyn, S. W. & Mundil, R. Precise age determination of mafic and felsic intrusive rocks from the Permian Emeishan large igneous province (SW China). Gondwana Res. 22, 118–126 (2012).Article 

    Google Scholar 
    Fielding, C. R. et al. Sedimentology of the continental end-Permian extinction event in the Sydney Basin, eastern Australia. Sedimentology 68, 30–62 (2021).Article 

    Google Scholar 
    Fielding, C. R. et al. Age and pattern of the southern high-latitude continental end-Permian extinction constrained by multiproxy analysis. Nat. Commun. 10, 1–12 (2019).Article 

    Google Scholar 
    Liu, Z. et al. Osmium-isotope evidence for volcanism across the Wuchiapingian–Changhsingian boundary interval. Chem. Geol. 529, 119313 (2019).Article 

    Google Scholar 
    Cheng, C. et al. Permian carbon isotope and clay mineral records from the Xikou section, Zhen’an, Shaanxi Province, central China: climatological implications for the easternmost Paleo-Tethys. Palaeogeogr. Palaeoclimatol. Palaeoecol. 514, 407–422 (2019).Article 

    Google Scholar 
    Gastaldo, R. A. et al. The base of the Lystrosaurus Assemblage Zone, Karoo Basin, predates the end-Permian marine extinction. Nat. Commun. 11, 1–8 (2020).Article 

    Google Scholar 
    Retallack, G. J. et al. Multiple Early Triassic greenhouse crises impeded recovery from Late Permian mass extinction. Palaeogeogr. Palaeoclimatol. Palaeoecol. 308, 233–251 (2011).Article 

    Google Scholar 
    Mays, C. et al. Refined Permian–Triassic floristic timeline reveals early collapse and delayed recovery of south polar terrestrial ecosystems. GSA Bull. 132, 1489–1513 (2020).Article 

    Google Scholar 
    Yugan, J., Jing, Z. & Qinghua, S. Two Phases of the End-Permian Mass Extinction. In Pangea: Global Environments and Resources — Memoir, 17, 813-822 (1994).Williams, M. L., Jones, B. G. & Carr, P. F. The interplay between massive volcanism and the local environment: geochemistry of the Late Permian mass extinction across the Sydney Basin, Australia. Gondwana Res. 51, 149–169 (2017).Article 

    Google Scholar 
    van der Boon, A. et al. Exploring a link between the Middle Eocene Climatic Optimum and Neotethys continental arc flare-up. Clim. Past 17, 229–239 (2021).Article 

    Google Scholar 
    Metcalfe, I. Tectonic evolution of Sundaland. Bull. Geol. Soc. Malays. 63, 27–60 (2017).Article 

    Google Scholar 
    Maravelis, A. G. et al. Re-assessing the Upper Permian stratigraphic succession of the Northern Sydney Basin, Australia, by CA-IDTIMS. Geosciences 10, 474 (2020).Article 

    Google Scholar 
    Voice, P. J., Kowalewski, M. & Eriksson, K. A. Quantifying the timing and rate of crustal evolution: global compilation of radiometrically dated detrital zircon grains. J. Geol. 119, 109–126 (2011).Article 

    Google Scholar 
    Watson, E. B., Wark, D. A. & Thomas, J. B. Crystallization thermometers for zircon and rutile. Contrib. Mineral. Petrol. 151, 413–433 (2006).Article 

    Google Scholar 
    Sláma, J. et al. Plešovice zircon—a new natural reference material for U–Pb and Hf isotopic microanalysis. Chem. Geol. 249, 1–35 (2008).Article 

    Google Scholar 
    Wiedenbeck, M. et al. Three natural zircon standards for U–Th–Pb, Lu–Hf, trace element and REE analyses. Geostand. Newsl. 19, 1–23 (1995).Article 

    Google Scholar 
    Mattinson, J. M. Zircon U–Pb chemical abrasion (“CA-TIMS”) method: combined annealing and multi-step partial dissolution analysis for improved precision and accuracy of zircon ages. Chem. Geol. 220, 47–66 (2005).Article 

    Google Scholar 
    Krogh, T. E. A low contamination method for hydrothermal decomposition of zircon and extraction of U and Pb for isotopic age determination, Geochim. Cosmochim. Acta 37, 485–494 (1973).Article 

    Google Scholar 
    Gerstenberger, H. & Haase, G. A highly effective emitter substance for mass spectrometric Pb isotope ratio determinations. Chem. Geol. 136, 309–312 (1997).Article 

    Google Scholar 
    Schmitz, M. D. & Schoene, B. Derivation of isotope ratios, errors, and error correlations for U–Pb geochronology using 205Pb-235U-(233U)-spiked isotope dilution thermal ionization mass spectrometric data. Geochem. Geophys. Geosyst. 8, https://doi.org/10.1029/2006gc001492 (2007).Condon, D. J., Schoene, B., McLean, N. M., Bowring, S. A. & Parrish, R. R. Metrology and traceability of U–Pb isotope dilution geochronology (EARTHTIME tracer calibration part I). Geochim. Cosmochim. Acta 164, 464–480 (2015).Article 

    Google Scholar 
    Jaffey, A. H., Flynn, K. F., Glendenin, L. E., Bentley, W. C. & Essling, A. M. Precision measurement of half-lives and specific activities of 235U and 238U. Phys. Rev. C 4, 1889–1906 (1971).Article 

    Google Scholar 
    Hiess, J., Condon, D. J., McLean, N. & Noble, S. R. 238U/235U systematics in terrestrial uranium-bearing minerals. Science 335, 1610–1614 (2012).Article 

    Google Scholar 
    Crowley, J. L., Schoene, B. & Bowring, S. A. U–Pb dating of zircon in the Bishop Tuff at the millennial scale. Geology 35, 1123–1126 (2007).Article 

    Google Scholar 
    Ludwig, K. R. User’s manual for Isoplot 3.00 (Berkley Geochronology Center, 2003).Offenburg, A. C. & Pogson, D. J. Geological Map of New England 1:500,000 (Geological Survey of New South Wales, 1973).Cranfield, L. C., Hutton, L. J. & Green, P. M. Geological Map of Ipswich 1:100,000 (Geological Survey of Queensland, 1978).Shaw, S. E. & Flood, R. H. The New England Batholith, eastern Australia: geochemical variations in time and space. J. Geophys. Res. Solid Earth 86, 10530–10544 (1981).Article 

    Google Scholar 
    Barnes, R. G., Brown, R. E., Brownlow, J. W. & Stroud, W. J. Late Permian volcanics in New England. Q. Notes Geol. Surv. N. South Wales 84, 1–36 (1991).
    Google Scholar 
    Finlayson, D. M. & Collins, C. D. N. Lithospheric velocity structures under the southern New England Orogen: evidence for underplating at the Tasman Sea margin. Aust. J. Earth Sci. 40, 141–153 (1993).Article 

    Google Scholar 
    Timothy, C., Geoffrey, L. C., Nathan, R. D., Sandra, P. & Adrianna, R. Orthopyroxene–omphacite- and garnet–omphacite-bearing magmatic assemblages, Breaksea Orthogneiss, New Zealand: oxidation state controlled by high-P oxide fractionation. Lithos 216–217, 1–16 (2015).
    Google Scholar 
    Chapman, T., Clarke, G. L. & Daczko, N. R. Crustal differentiation in a thickened arc—evaluating depth dependences. J. Petrol. 57, 595–620 (2016).Article 

    Google Scholar 
    Jagoutz, O. & Behn, M. D. Foundering of lower island-arc crust as an explanation for the origin of the continental Moho. Nature 504, 131–134 (2013).Article 

    Google Scholar 
    Chapman, J. B., Ducea, M. N., DeCelles, P. G. & Profeta, L. Tracking changes in crustal thickness during orogenic evolution with Sr/Y: an example from the North American Cordillera. Geology 43, 919–922 (2015).Article 

    Google Scholar 
    Bryant, C. J. A Compendium of Granites of the Southern New England Orogen, Eastern Australia (Geological Survey of New South Wales, 2017).Phillips, G., Landenberger, B. & Belousova, E. A. Building the New England Batholith, eastern Australia—linking granite petrogenesis with geodynamic setting using Hf isotopes in zircon. Lithos 122, 1–12 (2011).Article 

    Google Scholar 
    Kemp, A., Hawkesworth, C., Collins, W., Gray, C. & Blevin, P. Isotopic evidence for rapid continental growth in an extensional accretionary orogen: the Tasmanides, eastern Australia. Earth Planet. Sci. Lett. 284, 455–466 (2009).Article 

    Google Scholar 
    Anderson, J. R., Fraser, G. L., McLennan, S. M. & Lewis, C. J. A U–Pb Geochronology Compilation for Northern Australia Report No. 2017/22 (Geoscience Australia, 2017).Belousova, E. A., Griffin, W. L. & O’Reilly, S. Y. Zircon crystal morphology, trace element signatures and Hf isotope composition as a tool for petrogenetic modelling: examples from eastern Australian granitoids. J. Petrol. 47, 329–353 (2005).Article 

    Google Scholar 
    Bodorkos, S. et al. U–Pb Ages from the Central Lachlan Orogen and New England Orogen, New South Wales Report No. 2016/21 (Geoscience Australia, 2016).Cawood, P. A., Pisarevsky, S. A. & Leitch, E. C. Unraveling the New England orocline, east Gondwana accretionary margin. Tectonics 30, 1–15 (2011).Chisholm, E. I., Blevin, P. L. & Simpson, C. J. New SHRIMP U–Pb Zircon Ages from the New England Orogen, New South Wales: July 2012–June 2014 Report No. 2014/13 (Geoscience Australia, 2014).Chisholm, E. I., Blevin, P. L. & Simpson, C. J. New SHRIMP U–Pb Zircon Ages from the New England Orogen, New South Wales: July 2010–June 2012 Report No. 2014/13 (Geoscience Australia, 2014).Cross, A. & Blevin, P. L. Summary of Results for the Joint GSNSW–GA Geochronology Project Report No. GS2013/0426 (Geoscience Australia, 2013).Craven, S. J., Daczko, N. R. & Halpin, J. A. Thermal gradient and timing of high-T–low-P metamorphism in the Wongwibinda Metamorphic Complex, southern New England Orogen, Australia. J. Metamorph. Geol. 30, 3–20 (2012).Article 

    Google Scholar 
    Black, L. P. U–Pb Zircon Ages Obtained During 2006/07 for NSW Geological Survey Projects (Geoscience Australia, 2007).Rosenbaum, G., Li, P. & Rubatto, D. The contorted New England Orogen (eastern Australia): new evidence from U–Pb geochronology of early Permian granitoids. Tectonics 31, https://doi.org/10.1029/2011tc002960 (2012).Walthenberg, K., Blevin, P. L., Bull, K. F., Cronin, D. E. & Armistead, S. E. New SHRIMP U–Pb Zircon Ages from the Lachland Orogen and the New England Orogen, New South Wales: Mineral Systems Projects, July 2015–June 2016 Report No. 2016/28 (Geoscience Australia, 2016).Walthenberg, K., Blevin, P. L., Bodorkos, S. & Cronin, D. E. New SHRIMP U–Pb Ages from the New England Orogen, New South Wales: July 2014–June 2015 Report No. 2015/28 (Geoscience Australia, 2015).Jeon, H., Williams, I. S. & Chappell, B. W. Magma to mud to magma: rapid crustal recycling by Permian granite magmatism near the eastern Gondwana margin. Earth Planet. Sci. Lett. 319, 104–117 (2012).Article 

    Google Scholar  More

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    State of ex situ conservation of landrace groups of 25 major crops

    Crops and their landrace study areasFood crops whose genetic resources are researched and conserved by CGIAR international agricultural research centres or by the CePaCT of the SPC were included in this study. Crop landrace distributions were modelled and conservation analyses conducted within recognized primary and, for some crops, secondary regions of diversity, where these crops were domesticated and/or have been cultivated for very long periods, and where they are, thus, expected to feature high genetic diversity and adaptation to local environmental and cultural factors (Supplementary Tables 1 and 2)9,13. These regions were identified through literature review (Supplementary Information) and confirmed by crop experts.Occurrence dataOur crop landrace group distribution modelling and conservation gap analysis rely on occurrence data, including coordinates of locations where landraces were previously collected for ex situ conservation and reference sightings. For ex situ conservation records, occurrences marked as landraces were retrieved from two major online databases: the Genesys Plant Genetic Resources portal33 and the World Information and Early Warning System on Plant Genetic Resources for Food and Agriculture (WIEWS) of the Food and Agriculture Organization of the United Nations34. Occurrences were also obtained directly from individual international genebank information systems: AfricaRice, the International Transit Centre and Musa Germplasm Information System of Bioversity International35, CePaCT, International Center for Tropical Agriculture (CIAT), International Maize and Wheat Improvement Center (CIMMYT), International Potato Center (CIP), International Center for Agricultural Research in the Dry Areas (ICARDA), International Crops Research Institute for the Semi-arid Tropics (ICRISAT), International Institute of Tropical Agriculture (IITA) and International Rice Research Institute (IRRI), as well as from the United States Department of Agriculture (USDA) Genetic Resources Information Network (GRIN)–Global36 and the Comisión Nacional para el Conocimiento y Uso de la Biodiversidad (CONABIO)37. Occurrences were compiled from the Global Biodiversity Information Facility (GBIF), with ‘living specimen’ records classified as ex situ conservation records and the remaining serving as reference sightings for use in distribution modelling. Reference occurrences were also drawn from published literature (Supplementary Information). Duplicated observations within or between data sources were eliminated, with a preference to utilize the most original data. Coordinates were corrected or removed when latitude and longitude were equal to zero or inverted, located in water bodies or in the wrong country or had poor resolution ( 10 (ref. 60). The predictors and whether they were selected for the modelling of each landrace group are presented in Supplementary Table 4.We generated a random sample of pseudo-absences as background points in areas that (1) were within the same ecological land units61 as the occurrence points, (2) were deemed potentially suitable according to a support vector machine classifier that uses all occurrences and predictor variables and (3) were farther than 5 km from any occurrence62. The number of pseudo-absences generated per crop group was ten times its number of unique occurrences.MaxEnt models were fitted through five-fold (K = 5) cross-validation with 80% training and 20% testing. For each fold, we calculated the area under the receiving operating characteristic curve (AUC), sensitivity, specificity and Cohen’s kappa as measures of model performance. To create a single prediction that represents the probability of occurrence for the landrace group, we computed the median across K models. Geographic areas in the form of pixels with probability values above the maximum sum of sensitivity and specificity were treated as the final area of predicted presence13.Ex situ conservation status and gapsThree separate but complementary metrics were developed to compare the geographic and environmental diversity in current ex situ conservation collections to the total geographic and environmental variation across the crop landrace group distribution model and, thus, to identify and quantify ex situ conservation gaps13.A connectivity gap score (SCON) was calculated for each 2.5-arc-minute pixel within the distribution model by drawing a triangle63,64 around each pixel using the three closest genebank accession occurrence locations as vertices and then deriving normalized values for the pixel based on distance to the triangle centroid and vertices13. The SCON of a pixel is high—closer to 1 on a scale of 0–1—when its corresponding triangle is large, when the pixel is close to the centroid of the triangle or when the distance to the vertices is large. A high SCON represents a greater probability of the pixel location being a gap in existing ex situ collections.An accessibility gap score (SACC) was calculated for each 2.5-arc-minute pixel in the distribution model by computing travel time from each pixel to its nearest genebank accession occurrence location based both on distance and the speed of travel, defined by a friction surface13,45. Travel time scores were normalized by dividing pixel values by the longest travel time within the distribution model, with the final score ranging from 0 to 1. A high SACC value for a pixel reflects long travel times from existing genebank collection occurrences and, thus, represents a higher probability of the pixel location being a gap in existing ex situ collections.An environmental gap score (SENV) was calculated for each 2.5-arc-minute pixel in the distribution model by conducting a hierarchical clustering analysis using Ward’s method with all the predictor variables from the distribution modelling. The Mahalanobis distance between each pixel and the environmentally closest genebank accession occurrence location was then computed13. Environmental distance scores were normalized between 0 and 1. A high SENV value for a pixel reflects a large distance to areas with similar environments where landraces have previously been collected for genebank conservation and, thus, represents a higher probability of the pixel location being a gap in existing ex situ collections.Spatial ex situ conservation gaps were determined from the conservation gap scores using a cross-validation procedure to derive a threshold for each score. We created synthetic gaps by removing existing genebank occurrences in five randomly chosen circular areas with a 100 km radius within the distribution model. We then tested whether these artificial gaps could be predicted by our gap analysis, identifying the threshold value of each score that would maximize the prediction of these synthetic gaps. Performance for each of the five gap areas was assessed using AUC, sensitivity and specificity. The average cross-area threshold value was calculated for each score to discern pixels with a high likelihood of finding ex situ conservation gaps and that, thus, were higher priority for further field sampling. These were pixels with combined gap scores above the threshold, assigned a value of 1, as opposed to the relatively well-conserved areas below the threshold, which were assigned a value of 0.The three binary conservation gap scores were then mapped in combination, resulting in pixels across the distribution model with gap values ranging from 0 to 3. Pixels with a value of 0 display no connectivity, accessibility or environmental gaps and are considered well represented ex situ. Pixels with a value of 1 indicate a conservation gap in connectivity, accessibility or the environment; we consider these ‘low-confidence’ gaps. Pixels with a value of 2 indicate gaps in two metrics or ‘medium-confidence’ gaps, and values of 3 indicate gaps across all metrics or ‘high-confidence’ gaps. High-confidence gap areas are displayed on crop-conservation-gap maps (Fig. 2b and Supplementary Information) and conservation hotspot maps across crops (Fig. 4 and Extended Data Figs. 5–8).The representation of crop landrace groups in current ex situ conservation collections was calculated based on the final 1–3 value conservation-gap maps. The complement of the proportion of the modelled distribution considered as a potential conservation gap by any single gap score represents the minimum estimate of current representation; the complement of the proportion considered by all three scores as a gap, which is to say high-confidence gap areas, represents the maximum estimate (Supplementary Tables 1 and 2).While distribution modelling and conservation gap analyses were conducted at the crop landrace group level and results are presented in full in the Supplementary Information, for ease of comparison of results across crops, and to avoid bias towards crops with many landrace groups, we also calculated summary results at the crop level. Crops that had been assessed with geographic differentiations, including maize in Africa and Latin America and yams in the New World and the Old World, were also combined. For spatial results, the pixels in crop landrace group models were summed—that is, constituent landrace group models were combined. The minimum and maximum current conservation representation estimations at the crop level were then calculated based on combined spatial models.GBIF occurrence downloadsThe following occurrence downloads from the Global Biodiversity Information Facility (GBIF; https://www.gbif.org/, 2017−2021) were used: 10.15468/dl.rrntfr, 10.15468/dl.2f2v4h, 10.15468/dl.2ywlb7, 10.15468/dl.lnfelh, 10.15468/dl.ryrmfj, 10.15468/dl.8adf61, 10.15468/dl.nff5ys, 10.15468/dl.erxs6e, 10.15468/dl.vbfgho, 10.15468/dl.mjjk3x, 10.15468/dl.uppz1n, 10.15468/dl.938bgm, 10.15468/dl.hr87hm, 10.15468/dl.k1va80, 10.15468/dl.coqpu2, 10.15468/dl.lkoo9u, 10.15468/dl.e998mp, 10.15468/dl.vfbmm7, 10.15468/dl.tnp478, 10.15468/dl.6zxsea, 10.15468/dl.0lray8, 10.15468/dl.5sjgsw, 10.15468/dl.wkju6h, 10.15468/dl.7xzfvc, 10.15468/dl.autlf5, 10.15468/dl.fe2amw, 10.15468/dl.2zblvz, 10.15468/dl.ddplkj, 10.15468/dl.jbzejg, 10.15468/dl.ej5bha, 10.15468/dl.905pxd, 10.15468/dl.pim1vs, 10.15468/dl.vdridc, 10.15468/dl.b43gyv, 10.15468/dl.nnw3z7, 10.15468/dl.bnt9jc, 10.15468/dl.f5x2cg, 10.15468/dl.ub7zbg, 10.15468/dl.sggf2v, 10.15468/dl.ath5ve, 10.15468/dl.23k3ug, 10.15468/dl.cym376, 10.15468/dl.53bwzk, 10.15468/dl.fsad7h and 10.15468/dl.fm6p7z.Reporting SummaryFurther information on research design is available in the Nature Research Reporting Summary linked to this article. 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