Cooperative Institute for Research in Environmental Sciences at the University of Colorado Boulder

Vijay Gupta

Research Interests

Vijay K. Gupta is a professor emeritus in the Department of Civil, Environmental and Architectural Engineering, and is a fellow emeritus of the Cooperative Institute For Research in Environmental Sciences at the University of Colorado, Boulder, Colorado. Vijay has widely published in major research journals in hydrologic and atmospheric sciences, applied mathematics, probability theory, and nonlinear processes in geophysics. Soon after completing his PhD in 1973, Vijay embarked upon highly interdisciplinary collaborative research. From the onset, he recognized the fundamental importance of Scale. It became a pervasive theme in all his work, which has uniquely ranged from the molecular to the planetary scales. His life-long collaboration with colleagues from many different disciplines and outstanding graduate students led to establishing the nonlinear geophysical foundations of floods in river networks on multiple space and time scales. The Iowa Flood Center at the University of Iowa is building on these foundations with new applications. Vijay modernized and developed a new graduate course over a decade titled “introduction to multi-scale hydrology”, which has continued to be taught at the University of Iowa. Vijay served on the editorial boards of prominent international journals, and on important national committees. He was invited as a keynote speaker in several national and international conferences and workshops, and gave seminars at well-known universities in USA, Asia, Latin America and Europe. The list of publications during five years prior to retirement are listed below.

Current Research

Recently, Vijay and Indira established a non-profit international research institute bringing the cutting-edge research in modern and ancient sciences into a coherent whole. Their life-long interest and Indira’s background in psychiatry has brought the science of consciousness, mind and meditation at the forefront. This interconnectedness is necessary to address contemporary challenges of water and food shortages, health and health care crises, impact of climate change on floods and droughts etc. Their efforts to-date include:

  • Vijay’s collaborated with an agricultural scientist in India and published a joint paper that demonstrated the effect of thought transaction on crop production:
  • IB Gupta, P. Mysore and VK Gupta “Education Transforming Individuals”, Presented at an international conference on Women and Millennium Development Goals: A Social Work Response, 2014, MS University, Baroda, India is published in ‘Social Work Review’- special issues on “ Women and Millennium Development Goals”, V. 51, No. 1, 2015. ISSN 2394-8728. PDF
  • Indira co-convened a science education session ED53C at the fall annual AGU meeting, 2015: Frontiers in Student and Public Engagement in Earth and Space Science using Scientific Practices, Cross-Cutting Concepts, and Multicultural Pedagogical Approaches.
  • Vijay gave an invited poster presentation jointly with Dr. Surjalal Sharma, University of Maryland, College Park, MD, in the above AGU session. Title of their talk was, “An educational framework connecting planetary and mind frequencies”. Link to the poster is: Vijay_AGU_Poster.pdf. 
  • The 60th Annual Conference of the International Society for the Systems Sciences (ISSS) was held in Boulder on the University of Colorado campus. The theme was Realizing Sustainable Futures in Socio-Ecological Systems. Our contribution to the conference was through two events that we organized and hosted. It included Plenary VI: Multi-Cultural Science and Wisdom. A published paper by us served as a resource for our two events. It was put on the ISSS conference web site. It includes Ancient/native/indigenous/tribal (ANIT) world views to address the challenges of sustainability that the planet earth and all life are currently facing. The International Institute for Simplified Kundalini Yoga, Boulder, CO supported our participation in ISSS Conference. pdf.
  • Following the work at the ISSS conference as a guide, our article discusses the initial stages of developing a multi-cultural science education model of sustainability that will be nurtured and matured at the National University of Colombia, Medellin, Colombia.This initiative is being supported by the Fulbright Foundation both in the US and Colombia, and by the International Institute for Simplified Kundalini Yoga, Boulder, CO. Pdf.

Publications Before Retirement (2007 - 2012)

Furey, P.R. and Gupta, V. K. (2007), Diagnosing peak-discharge power laws observed in rainfall–runoff events in Goodwin Creek experimental watershed, Advances in Water Resources, 30 2387–2399.

Gupta, V. K., Troutman, B. M., and Dawdy, D. R. (2007), Towards a nonlinear geophysical theory of floods in river networks: an overview of 20 years of progress, Nonlinear dynamics in geosciences, edited by A. A. Tsonis and J. B. Elsner, pp. 121–151, doi:10.1007/978-0- 387-34918-3_8, Springer, New York.

McConnell, M., and Gupta, V. K. (2008). "A proof of the horton law of stream numbers for the Tokunaga model of river networks." Fractals, 16(03), 227-233.

Mandapaka, P. V., Krajewski, W. F., Mantilla, R., and Gupta, V. K. (2009). "Dissecting the effect of rainfall variability on the statistical structure of peak flows." Advances in Water Resources, 32(10), 1508-1525.

Gupta, V. K., Mantilla, R., Troutman, B. M., Dawdy, D., and Krajewski, W. F. (2010). "Generalizing a nonlinear geophysical flood theory to medium-sized river networks." Geophysical Research Letters, 37(11), L11402-L11402.

Mantilla, R., Troutman, B. M., and Gupta, V. K. (2010). "Testing statistical self-similarity in the topology of river networks." Journal of Geophysical Research: Earth Surface, 115(F3), F03038.

Mantilla, R., Gupta, V. K., and Troutman, B. M. (2011). "Scaling of peak flows with constant flow velocity in random self-similar networks." Nonlinear Processes in Geophysics, 18(4), 489-502.

Dunn, W., Milne, B., Mantilla, R., and Gupta, V. (2011). "Scaling relations between riparian vegetation and stream order in the Whitewater River network, Kansas, USA." Landscape Ecol, 26(7), 983-997.

Mantilla, R., Gupta, V. K., Troutman, B. M. (2012). Extending generalized Horton laws to test embedding algorithms for topologic river networks, Geomorphology, 151–152, 13–26. 


Publications After Retirement (2012 - 2017)

Vijay completed and published the most challenging papers that he worked on for decades:

A. S. Sharma, D. N. Baker, A. Bhattacharyya, A. Bunde, V. P. Dimri, H. K. Gupta, V. K. Gupta, S. Lovejoy, I. G. Main, D. Schertzer, H. Storch, and N. W. Watkins (2012), Complexity and Extreme Events in Geosciences: An Overview, Geophysical Monograph Series 196
, 1-16, American Geophysical Union.

O. J. Mesa, V. K. Gupta, and P. E. O’Connell, Dynamical System Exploration of the Hurst Phenomenon in Simple Climate Models, Extreme Events and Natural Hazards: The Complexity Perspective, 
Geophysical Monograph Series 196
, 209-229, American Geophysical Union, 2012.

D. R. Dawdy, V. W. Griffis and V. K. Gupta, Regional Flood Frequency Analysis: How We Got Here and Where We are Going, J. Hydrologic Eng. 17:953-959, 2012.

P. R. Furey, V. K. Gupta, and B. M. Troutman, A top-down model to generate ensembles of runoff from a large number of hillslopes, Nonlin. Processes Geophys., 20, 683–704, 2013.

V. K. Gupta and O. J. Mesa, Horton laws for hydraulic–geometric variables and their scaling exponents in self-similar Tokunaga river networks, Nonlin. Processes Geophys., 21, 1007–1025, 2014.

V. K. Gupta, T. B. Ayalew, R. Mantilla, and W. F. Krajewski, Classical and generalized Horton laws for peak flows in rainfall-runoff events, Chaos, 25, 075408 (2015); doi: 10.1063/1.4922177.

P. Furey, B. M. Troutman, V. K. Gupta, and W. F. Krajewski, Connecting Event-Based Scaling of Flood Peaks to Regional Flood Frequency Relationships, J. Hydrologic Eng. 2016. DOI: 10.1061/(ASCE)HE.1943-5584.0001411

B Milne and V. K.  Gupta, Horton Ratios Link Self-Similarity with Maximum Entropy of Eco-Geomorphological Properties in Stream Networks, Entropy (2017), 19, doi10.3390/e19060249 

Vijay Research | CIRES

Schumann (1952) first predicted the existence of resonances in the Earth-Ionosphere cavity on theoretical grounds. Many studies since then have expanded the theory and determined their basic observational characteristics. Theoretically, the velocity of light divided by the earth's circumference gives 7.5 Hz to a very good approximation. Observations show that the fundamental frequency lies in the range 7 and 8 Hz (W. Sentman, Rad. Sci, 22(4),1987). These findings define a planetary oscillator.

The second oscillator is the human mind that has multiple frequencies ranging from 1 to 40 Hz, which the Electroencephalograph (EEG) can measure. Vethathiri in 1958 pioneered a systematic practice to reducing mind frequency to Alpha (13-8 Hz), Theta (7-4 Hz) and Delta (1-3 Hz). The graph shows EEG pattern in Theta (M. Dhamodharan, Ancient Science, 2(1), 2015).

A spatial Voltage map of EEG pattern in Theta Frequency (M. Dhamodharan, Ancient Science, 2(1), 2015)

Honors and Awards

  • CUHASI ( honored him with a service award for “outstanding vision and leadership in the development of interdisciplinary research in hydrologic sciences”, 2012
  • Robert E. Horton medal of the AGU for outstanding contributions to Hydrology, 2008
  • Golden Jubilee Lecture, Dept. of Civil Eng., Indian Inst. Sci., Bangalore, India, 2000
  • Fellow of the American Geophysical Union (AGU),1990