[{"intvolume":"         6","language":[{"iso":"eng"}],"publisher":"International Federation for Computational Logic","has_accepted_license":"1","date_created":"2018-12-11T12:05:36Z","abstract":[{"text":"Weighted automata are nondeterministic automata with numerical weights on transitions. They can define quantitative languages L that assign to each word w a real number L(w). In the case of infinite words, the value of a run is naturally computed as the maximum, limsup, liminf, limit-average, or discounted-sum of the transition weights. The value of a word w is the supremum of the values of the runs over w. We study expressiveness and closure questions about these quantitative languages. We first show that the set of words with value greater than a threshold can be omega-regular for deterministic limit-average and discounted-sum automata, while this set is always omega-regular when the threshold is isolated (i.e., some neighborhood around the threshold contains no word). In the latter case, we prove that the omega-regular language is robust against small perturbations of the transition weights. We next consider automata with transition weights 0 or 1 and show that they are as expressive as general weighted automata in the limit-average case, but not in the discounted-sum case. Third, for quantitative languages L-1 and L-2, we consider the operations max(L-1, L-2), min(L-1, L-2), and 1 - L-1, which generalize the boolean operations on languages, as well as the sum L-1 + L-2. We establish the closure properties of all classes of quantitative languages with respect to these four operations.","lang":"eng"}],"corr_author":"1","publication":"Logical Methods in Computer Science","status":"public","ddc":["000","004"],"month":"08","das_tickbox":"1","issue":"3","oa":1,"ec_funded":1,"type":"journal_article","isi":1,"page":"1 - 23","date_published":"2010-08-30T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"relation":"main_file","date_created":"2018-12-12T10:17:54Z","checksum":"0243da726476817f2ea33b48b78be696","creator":"system","file_name":"IST-2012-55-v1+1_Expressiveness_Closure_Properties_Quantitative_Languages.pdf","file_size":216598,"content_type":"application/pdf","access_level":"open_access","file_id":"5312","date_updated":"2020-07-14T12:46:19Z"},{"file_id":"5313","date_updated":"2020-07-14T12:46:19Z","date_created":"2018-12-12T10:17:55Z","relation":"main_file","file_name":"IST-2016-55-v2+1_1007.4018.pdf","checksum":"5e512b8503a9cb263de26331c4ee9cf2","creator":"system","file_size":302416,"access_level":"open_access","content_type":"application/pdf"}],"article_processing_charge":"No","year":"2010","publication_status":"published","doi":"10.2168/LMCS-6(3:10)2010","tmp":{"image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode"},"citation":{"short":"K. Chatterjee, L. Doyen, T.A. Henzinger, Logical Methods in Computer Science 6 (2010) 1–23.","chicago":"Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “Expressiveness and Closure Properties for Quantitative Languages.” <i>Logical Methods in Computer Science</i>. International Federation for Computational Logic, 2010. <a href=\"https://doi.org/10.2168/LMCS-6(3:10)2010\">https://doi.org/10.2168/LMCS-6(3:10)2010</a>.","ama":"Chatterjee K, Doyen L, Henzinger TA. Expressiveness and closure properties for quantitative languages. <i>Logical Methods in Computer Science</i>. 2010;6(3):1-23. doi:<a href=\"https://doi.org/10.2168/LMCS-6(3:10)2010\">10.2168/LMCS-6(3:10)2010</a>","apa":"Chatterjee, K., Doyen, L., &#38; Henzinger, T. A. (2010). Expressiveness and closure properties for quantitative languages. <i>Logical Methods in Computer Science</i>. International Federation for Computational Logic. <a href=\"https://doi.org/10.2168/LMCS-6(3:10)2010\">https://doi.org/10.2168/LMCS-6(3:10)2010</a>","ista":"Chatterjee K, Doyen L, Henzinger TA. 2010. Expressiveness and closure properties for quantitative languages. Logical Methods in Computer Science. 6(3), 1–23.","mla":"Chatterjee, Krishnendu, et al. “Expressiveness and Closure Properties for Quantitative Languages.” <i>Logical Methods in Computer Science</i>, vol. 6, no. 3, International Federation for Computational Logic, 2010, pp. 1–23, doi:<a href=\"https://doi.org/10.2168/LMCS-6(3:10)2010\">10.2168/LMCS-6(3:10)2010</a>.","ieee":"K. Chatterjee, L. Doyen, and T. A. Henzinger, “Expressiveness and closure properties for quantitative languages,” <i>Logical Methods in Computer Science</i>, vol. 6, no. 3. International Federation for Computational Logic, pp. 1–23, 2010."},"project":[{"name":"Design for Embedded Systems","grant_number":"214373","call_identifier":"FP7","_id":"25F1337C-B435-11E9-9278-68D0E5697425"},{"name":"COMponent-Based Embedded Systems design Techniques","grant_number":"215543","call_identifier":"FP7","_id":"25EFB36C-B435-11E9-9278-68D0E5697425"}],"volume":6,"scopus_import":"1","department":[{"_id":"KrCh"},{"_id":"ToHe"}],"quality_controlled":"1","oa_version":"Published Version","publist_id":"2311","_id":"3867","pubrep_id":"504","external_id":{"isi":["000282653500010"]},"license":"https://creativecommons.org/licenses/by-nd/4.0/","related_material":{"record":[{"status":"public","id":"4540","relation":"earlier_version"}]},"file_date_updated":"2020-07-14T12:46:19Z","day":"30","date_updated":"2026-07-06T13:24:40Z","title":"Expressiveness and closure properties for quantitative languages","author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","orcid":"0000-0002-4561-241X","last_name":"Chatterjee"},{"first_name":"Laurent","last_name":"Doyen","full_name":"Doyen, Laurent"},{"id":"40876CD8-F248-11E8-B48F-1D18A9856A87","full_name":"Henzinger, Thomas A","first_name":"Thomas A","orcid":"0000−0002−2985−7724","last_name":"Henzinger"}]},{"das_tickbox":"1","month":"09","ddc":["000"],"publication":"Logical Methods in Computer Science","status":"public","corr_author":"1","issue":"3","language":[{"iso":"eng"}],"intvolume":"         6","abstract":[{"lang":"eng","text":"Simulation and bisimulation metrics for stochastic systems provide a quantitative generalization of the classical simulation and bisimulation relations. These metrics capture the similarity of states with respect to quantitative specifications written in the quantitative mu-calculus and related probabilistic logics. We first show that the metrics provide a bound for the difference in long-run average and discounted average behavior across states, indicating that the metrics can be used both in system verification, and in performance evaluation. For turn-based games and MDPs, we provide a polynomial-time algorithm for the computation of the one-step metric distance between states. The algorithm is based on linear programming; it improves on the previous known exponential-time algorithm based on a reduction to the theory of reals. We then present PSPACE algorithms for both the decision problem and the problem of approximating the metric distance between two states, matching the best known algorithms for Markov chains. For the bisimulation kernel of the metric our algorithm works in time O(n(4)) for both turn-based games and MDPs; improving the previously best known O(n(9).log(n)) time algorithm for MDPs. For a concurrent game G, we show that computing the exact distance be tween states is at least as hard as computing the value of concurrent reachability games and the square-root-sum problem in computational geometry. We show that checking whether the metric distance is bounded by a rational r, can be done via a reduction to the theory of real closed fields, involving a formula with three quantifier alternations, yielding O(vertical bar G vertical bar(O(vertical bar G vertical bar 5))) time complexity, improving the previously known reduction, which yielded O(vertical bar G vertical bar(O(vertical bar G vertical bar 7))) time complexity. These algorithms can be iterated to approximate the metrics using binary search"}],"has_accepted_license":"1","date_created":"2018-12-11T12:05:36Z","publisher":"International Federation for Computational Logic","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2010-09-01T00:00:00Z","publication_status":"published","article_processing_charge":"No","year":"2010","file":[{"date_updated":"2020-07-14T12:46:19Z","file_id":"4671","access_level":"open_access","content_type":"application/pdf","file_size":346527,"checksum":"a18988135fef3016c93808ecb15b55f5","creator":"system","file_name":"IST-2015-370-v1+1_0809.4326.pdf","date_created":"2018-12-12T10:08:11Z","relation":"main_file"}],"isi":1,"type":"journal_article","oa":1,"page":"1 - 27","_id":"3868","publist_id":"2312","oa_version":"Published Version","quality_controlled":"1","pubrep_id":"370","tmp":{"image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode"},"doi":"10.2168/LMCS-6(3:13)2010","citation":{"chicago":"Chatterjee, Krishnendu, Luca De Alfaro, Ritankar Majumdar, and Vishwanath Raman. “Algorithms for Game Metrics.” <i>Logical Methods in Computer Science</i>. International Federation for Computational Logic, 2010. <a href=\"https://doi.org/10.2168/LMCS-6(3:13)2010\">https://doi.org/10.2168/LMCS-6(3:13)2010</a>.","short":"K. Chatterjee, L. De Alfaro, R. Majumdar, V. Raman, Logical Methods in Computer Science 6 (2010) 1–27.","ieee":"K. Chatterjee, L. De Alfaro, R. Majumdar, and V. Raman, “Algorithms for game metrics,” <i>Logical Methods in Computer Science</i>, vol. 6, no. 3. International Federation for Computational Logic, pp. 1–27, 2010.","mla":"Chatterjee, Krishnendu, et al. “Algorithms for Game Metrics.” <i>Logical Methods in Computer Science</i>, vol. 6, no. 3, International Federation for Computational Logic, 2010, pp. 1–27, doi:<a href=\"https://doi.org/10.2168/LMCS-6(3:13)2010\">10.2168/LMCS-6(3:13)2010</a>.","ista":"Chatterjee K, De Alfaro L, Majumdar R, Raman V. 2010. Algorithms for game metrics. Logical Methods in Computer Science. 6(3), 1–27.","ama":"Chatterjee K, De Alfaro L, Majumdar R, Raman V. Algorithms for game metrics. <i>Logical Methods in Computer Science</i>. 2010;6(3):1-27. doi:<a href=\"https://doi.org/10.2168/LMCS-6(3:13)2010\">10.2168/LMCS-6(3:13)2010</a>","apa":"Chatterjee, K., De Alfaro, L., Majumdar, R., &#38; Raman, V. (2010). Algorithms for game metrics. <i>Logical Methods in Computer Science</i>. International Federation for Computational Logic. <a href=\"https://doi.org/10.2168/LMCS-6(3:13)2010\">https://doi.org/10.2168/LMCS-6(3:13)2010</a>"},"department":[{"_id":"KrCh"}],"scopus_import":"1","volume":6,"title":"Algorithms for game metrics","date_updated":"2026-07-06T13:25:11Z","author":[{"orcid":"0000-0002-4561-241X","last_name":"Chatterjee","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu"},{"full_name":"De Alfaro, Luca","first_name":"Luca","last_name":"De Alfaro"},{"full_name":"Majumdar, Ritankar","first_name":"Ritankar","last_name":"Majumdar"},{"full_name":"Raman, Vishwanath","first_name":"Vishwanath","last_name":"Raman"}],"external_id":{"isi":["000282653500013"]},"day":"01","related_material":{"record":[{"status":"public","relation":"earlier_version","id":"3504"}]},"file_date_updated":"2020-07-14T12:46:19Z"},{"publication":"Conference proceedings MCV 2010","month":"12","status":"public","intvolume":"      6533","language":[{"iso":"eng"}],"publisher":"Springer","alternative_title":["LNCS"],"date_created":"2018-12-11T12:05:08Z","abstract":[{"text":"In cortex surface segmentation, the extracted surface is required to have a particular topology, namely, a two-sphere. We present a new method for removing topology noise of a curve or surface within the level set framework, and thus produce a cortical surface with correct topology. We define a new energy term which quantifies topology noise. We then show how to minimize this term by computing its functional derivative with respect to the level set function. This method differs from existing methods in that it is inherently continuous and not digital; and in the way that our energy directly relates to the topology of the underlying curve or surface, versus existing knot-based measures which are related in a more indirect fashion. The proposed flow is validated empirically.","lang":"eng"}],"date_published":"2010-12-31T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","year":"2010","article_processing_charge":"No","publication_status":"published","type":"conference","page":"31 - 42","quality_controlled":"1","oa_version":"None","publist_id":"2445","_id":"3782","citation":{"ista":"Chen C, Freedman D. 2010. Topology noise removal for curve  and surface evolution. Conference proceedings MCV 2010. MCV: Medical Computer Vision, LNCS, vol. 6533, 31–42.","ama":"Chen C, Freedman D. Topology noise removal for curve  and surface evolution. In: <i>Conference Proceedings MCV 2010</i>. Vol 6533. Springer; 2010:31-42. doi:<a href=\"https://doi.org/10.1007/978-3-642-18421-5_4\">10.1007/978-3-642-18421-5_4</a>","apa":"Chen, C., &#38; Freedman, D. (2010). Topology noise removal for curve  and surface evolution. In <i>Conference proceedings MCV 2010</i> (Vol. 6533, pp. 31–42). Beijing, China: Springer. <a href=\"https://doi.org/10.1007/978-3-642-18421-5_4\">https://doi.org/10.1007/978-3-642-18421-5_4</a>","ieee":"C. Chen and D. Freedman, “Topology noise removal for curve  and surface evolution,” in <i>Conference proceedings MCV 2010</i>, Beijing, China, 2010, vol. 6533, pp. 31–42.","mla":"Chen, Chao, and Daniel Freedman. “Topology Noise Removal for Curve  and Surface Evolution.” <i>Conference Proceedings MCV 2010</i>, vol. 6533, Springer, 2010, pp. 31–42, doi:<a href=\"https://doi.org/10.1007/978-3-642-18421-5_4\">10.1007/978-3-642-18421-5_4</a>.","short":"C. Chen, D. Freedman, in:, Conference Proceedings MCV 2010, Springer, 2010, pp. 31–42.","chicago":"Chen, Chao, and Daniel Freedman. “Topology Noise Removal for Curve  and Surface Evolution.” In <i>Conference Proceedings MCV 2010</i>, 6533:31–42. Springer, 2010. <a href=\"https://doi.org/10.1007/978-3-642-18421-5_4\">https://doi.org/10.1007/978-3-642-18421-5_4</a>."},"doi":"10.1007/978-3-642-18421-5_4","volume":6533,"scopus_import":"1","department":[{"_id":"HeEd"}],"date_updated":"2026-07-07T13:07:08Z","title":"Topology noise removal for curve  and surface evolution","author":[{"last_name":"Chen","first_name":"Chao","id":"3E92416E-F248-11E8-B48F-1D18A9856A87","full_name":"Chen, Chao"},{"first_name":"Daniel","last_name":"Freedman","full_name":"Freedman, Daniel"}],"conference":{"end_date":"2010-09-20","location":"Beijing, China","name":"MCV: Medical Computer Vision","start_date":"2010-09-20"},"acknowledgement":"Partially supported by the Austri an Science Fund unde r grant P20134-N13.\r\nWe thank Helena Molina-Abril for very helpful discussion. We thank anonymous reviewers for helpful comments.","day":"31"},{"author":[{"id":"EA35229E-E909-11E9-8DF8-C90C5D5AF86E","full_name":"Quesada-Hernández, Elena","first_name":"Elena","last_name":"Quesada-Hernández"},{"full_name":"Caneparo, Luca","last_name":"Caneparo","first_name":"Luca"},{"full_name":"Schneider, Sylvia","id":"1FAC36B0-E90A-11E9-9D2F-EF31CE0C9C2F","first_name":"Sylvia","last_name":"Schneider"},{"last_name":"Winkler","first_name":"Sylke","full_name":"Winkler, Sylke"},{"full_name":"Liebling, Michael","first_name":"Michael","last_name":"Liebling"},{"full_name":"Fraser, Scott","first_name":"Scott","last_name":"Fraser"},{"orcid":"0000-0002-0912-4566","last_name":"Heisenberg","first_name":"Carl-Philipp J","id":"39427864-F248-11E8-B48F-1D18A9856A87","full_name":"Heisenberg, Carl-Philipp J"}],"date_updated":"2026-07-28T08:03:47Z","title":"Stereotypical cell division orientation controls neural rod midline formation in zebrafish","acknowledgement":"This work was supported by grants from the Fundacion Caja Madrid to E.Q.H. and the Institute of Science and Technology Austria, the Max-Planck-Society, and the Deutsche Forschungsgemeinschaft to C.P.H.\r\nWe are grateful to Jon Clarke, Andy Oates, and Garrett Greenan for reading earlier versions of this manuscript. We thank J. Peychl, H. Ibarra, and P. Pitrone for excellent assistance and advice in multi-photon microscopy and D. White for assistance during the image-processing steps. We also thank D. Panhans for technical assistance, the whole Heisenberg laboratory for useful comments and discussions, and E. Lehmann, J. Hückmann, and G. Junghans for excellent fish care. ","article_type":"original","day":"09","OA_place":"publisher","external_id":{"isi":["000284193900032"]},"publist_id":"2438","_id":"3789","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1016/j.cub.2010.10.009"}],"oa_version":"Published Version","quality_controlled":"1","scopus_import":"1","department":[{"_id":"CaHe"}],"volume":20,"doi":"10.1016/j.cub.2010.10.009","citation":{"chicago":"Quesada-Hernández, Elena, Luca Caneparo, Sylvia Schneider, Sylke Winkler, Michael Liebling, Scott Fraser, and Carl-Philipp J Heisenberg. “Stereotypical Cell Division Orientation Controls Neural Rod Midline Formation in Zebrafish.” <i>Current Biology</i>. Cell Press, 2010. <a href=\"https://doi.org/10.1016/j.cub.2010.10.009\">https://doi.org/10.1016/j.cub.2010.10.009</a>.","short":"E. Quesada-Hernández, L. Caneparo, S. Schneider, S. Winkler, M. Liebling, S. Fraser, C.-P.J. Heisenberg, Current Biology 20 (2010) 1966–1972.","mla":"Quesada-Hernández, Elena, et al. “Stereotypical Cell Division Orientation Controls Neural Rod Midline Formation in Zebrafish.” <i>Current Biology</i>, vol. 20, no. 21, Cell Press, 2010, pp. 1966–72, doi:<a href=\"https://doi.org/10.1016/j.cub.2010.10.009\">10.1016/j.cub.2010.10.009</a>.","ieee":"E. Quesada-Hernández <i>et al.</i>, “Stereotypical cell division orientation controls neural rod midline formation in zebrafish,” <i>Current Biology</i>, vol. 20, no. 21. Cell Press, pp. 1966–1972, 2010.","ista":"Quesada-Hernández E, Caneparo L, Schneider S, Winkler S, Liebling M, Fraser S, Heisenberg C-PJ. 2010. Stereotypical cell division orientation controls neural rod midline formation in zebrafish. Current Biology. 20(21), 1966–1972.","ama":"Quesada-Hernández E, Caneparo L, Schneider S, et al. Stereotypical cell division orientation controls neural rod midline formation in zebrafish. <i>Current Biology</i>. 2010;20(21):1966-1972. doi:<a href=\"https://doi.org/10.1016/j.cub.2010.10.009\">10.1016/j.cub.2010.10.009</a>","apa":"Quesada-Hernández, E., Caneparo, L., Schneider, S., Winkler, S., Liebling, M., Fraser, S., &#38; Heisenberg, C.-P. J. (2010). Stereotypical cell division orientation controls neural rod midline formation in zebrafish. <i>Current Biology</i>. Cell Press. <a href=\"https://doi.org/10.1016/j.cub.2010.10.009\">https://doi.org/10.1016/j.cub.2010.10.009</a>"},"year":"2010","article_processing_charge":"No","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2010-11-09T00:00:00Z","page":"1966 - 1972","isi":1,"type":"journal_article","oa":1,"issue":"21","das_tickbox":"1","status":"public","month":"11","corr_author":"1","publication":"Current Biology","date_created":"2018-12-11T12:05:11Z","abstract":[{"lang":"eng","text":"The development of multicellular organisms is dependent on the tight coordination between tissue growth and morphogenesis. The stereotypical orientation of cell divisions has been proposed to be a fundamental mechanism by which proliferating and growing tissues take shape. However, the actual contribution of stereotypical division orientation (SDO) to tissue morphogenesis is unclear. In zebrafish, cell divisions with stereotypical orientation have been implicated in both body-axis elongation and neural rod formation [1, 2], although there is little direct evidence for a critical function of SDO in either of these processes. Here we show that SDO is required for formation of the neural rod midline during neurulation but dispensable for elongation of the body axis during gastrulation. Our data indicate that SDO during both gastrulation and neurulation is dependent on the noncanonical Wnt receptor Frizzled 7 (Fz7) and that interfering with cell division orientation leads to severe defects in neural rod midline formation but not body-axis elongation. These findings suggest a novel function for Fz7-controlled cell division orientation in neural rod midline formation during neurulation. "}],"publisher":"Cell Press","OA_type":"free access","language":[{"iso":"eng"}],"intvolume":"        20"},{"extern":"1","_id":"22446","oa_version":"Published Version","quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.1029/2009WR008611","open_access":"1"}],"scopus_import":"1","volume":46,"doi":"10.1029/2009wr008611","citation":{"short":"V.Y. Ivanov, S. Fatichi, G.D. Jenerette, J.F. Espeleta, P.A. Troch, T.E. Huxman, Water Resources Research 46 (2010).","chicago":"Ivanov, Valeriy Y., Simone Fatichi, G. Darrel Jenerette, Javier F. Espeleta, Peter A. Troch, and Travis E. Huxman. “Hysteresis of Soil Moisture Spatial Heterogeneity and the ‘Homogenizing’ Effect of Vegetation.” <i>Water Resources Research</i>. American Geophysical Union, 2010. <a href=\"https://doi.org/10.1029/2009wr008611\">https://doi.org/10.1029/2009wr008611</a>.","apa":"Ivanov, V. Y., Fatichi, S., Jenerette, G. D., Espeleta, J. F., Troch, P. A., &#38; Huxman, T. E. (2010). Hysteresis of soil moisture spatial heterogeneity and the “homogenizing” effect of vegetation. <i>Water Resources Research</i>. American Geophysical Union. <a href=\"https://doi.org/10.1029/2009wr008611\">https://doi.org/10.1029/2009wr008611</a>","ista":"Ivanov VY, Fatichi S, Jenerette GD, Espeleta JF, Troch PA, Huxman TE. 2010. Hysteresis of soil moisture spatial heterogeneity and the “homogenizing” effect of vegetation. Water Resources Research. 46(9), W09521.","ama":"Ivanov VY, Fatichi S, Jenerette GD, Espeleta JF, Troch PA, Huxman TE. Hysteresis of soil moisture spatial heterogeneity and the “homogenizing” effect of vegetation. <i>Water Resources Research</i>. 2010;46(9). doi:<a href=\"https://doi.org/10.1029/2009wr008611\">10.1029/2009wr008611</a>","ieee":"V. Y. Ivanov, S. Fatichi, G. D. Jenerette, J. F. Espeleta, P. A. Troch, and T. E. Huxman, “Hysteresis of soil moisture spatial heterogeneity and the ‘homogenizing’ effect of vegetation,” <i>Water Resources Research</i>, vol. 46, no. 9. American Geophysical Union, 2010.","mla":"Ivanov, Valeriy Y., et al. “Hysteresis of Soil Moisture Spatial Heterogeneity and the ‘Homogenizing’ Effect of Vegetation.” <i>Water Resources Research</i>, vol. 46, no. 9, W09521, American Geophysical Union, 2010, doi:<a href=\"https://doi.org/10.1029/2009wr008611\">10.1029/2009wr008611</a>."},"author":[{"last_name":"Ivanov","first_name":"Valeriy Y.","full_name":"Ivanov, Valeriy Y."},{"first_name":"Simone","last_name":"Fatichi","id":"cf8e546b-a9b0-11f0-a43b-aa89ed1b56d6","full_name":"Fatichi, Simone"},{"last_name":"Jenerette","first_name":"G. Darrel","full_name":"Jenerette, G. Darrel"},{"last_name":"Espeleta","first_name":"Javier F.","full_name":"Espeleta, Javier F."},{"full_name":"Troch, Peter A.","last_name":"Troch","first_name":"Peter A."},{"last_name":"Huxman","first_name":"Travis E.","full_name":"Huxman, Travis E."}],"title":"Hysteresis of soil moisture spatial heterogeneity and the “homogenizing” effect of vegetation","date_updated":"2026-07-30T05:53:53Z","day":"01","publication_identifier":{"eissn":["1944-7973"],"issn":["0043-1397"]},"article_type":"original","issue":"9","das_tickbox":"1","publication":"Water Resources Research","status":"public","month":"09","abstract":[{"text":"<jats:p>By partitioning mass and energy fluxes, soil moisture exerts a fundamental control on basin hydrological response. Using the design characteristics of the Biosphere 2 hillslope experiment, this study investigates aspects of soil moisture spatial and temporal variability in a zero‐order catchment of a semiarid climate. The hydrological response of the domain exhibits a particular structure, which depends on whether topography‐induced subsurface stormflow is triggered. The occurrence of the latter is conditioned by topography, soil depth, and pre‐storm spatial distribution of moisture. As a result, a non‐unique behavior of soil moisture spatial heterogeneity emerges, manifested through a hysteretic dependence of variability metrics on mean water content. Further, it is argued that vegetation dynamics impose a “homogenizing” effect on pre‐storm moisture states, decreasing the likelihood that a rainfall event will result in topographic redistribution of soil water. Consequently, post‐rainfall soil moisture dynamics associated with the effect of topography that could lead to the enhancement of spatial heterogeneity are suppressed; a potential “attractor” of catchment states emerges. The study thus proposes several hypotheses that will be testable within the framework of long‐term hillslope experiments.</jats:p>","lang":"eng"}],"date_created":"2026-07-27T12:30:23Z","publisher":"American Geophysical Union","language":[{"iso":"eng"}],"OA_type":"free access","intvolume":"        46","publication_status":"published","year":"2010","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2010-09-01T00:00:00Z","article_number":"W09521","type":"journal_article","oa":1}]