Showing posts with label Transpiration. Show all posts
Showing posts with label Transpiration. Show all posts

Monday, May 4, 2026

Stomata close to maximize transpiration ?

This is the talk I am going  on EGU 2026 and I co-authored with Concetta D'Amato.  It talks about the complexity behind the plant reactions to various environmental factors and the interactions that control stomata openings. 


The slides of the talk can be found here.  The various figures were created within Jupyter Notebooks that are here with the helps of Claude. Please also consider to watch my other presentation on a new statistical theory on the dynamics of soil water in vadose zone, also presented at EGU 2026. This latter presentation is here. 

Tuesday, April 16, 2024

Elementary Mathematics sheds light on plant Transpiration

By examining the derivation of Penn-Monteith-like equations for estimating evapotranspiration, one can uncover valuable insights into plant functionality. In essence, equations talk. For a more comprehensive and in-depth exploration of this topic, refer to this  erlier post
However, here you can find also the Jupyter  Notebooks and the data that were used to produce the figures in the presentation. The presentation itself can be found by clicking on the figure above. The paper, submitted to Ecohydrology, can be found as an Authorea preprint here

Tuesday, January 2, 2024

Elementary Mathematics sheds light on the transpiration budget under water stress

This paper aims to establish a method to accurately describe transpiration by employing appropriate physical equations. Although some simplifications are made, including use of a simplified treatment of turbulence and neglecting of the thermal capacity of transpiring leaves, it is argued that the chosen scheme has general validity in identifying the primary mechanisms governing transpiration. 

To achieve this objective, a traditional treatment involving five equations, including the mass budget, is used. Initially, a simplified approach that does not consider the water budget is introduced to outline the general procedure to explicitly ad- dress canopies. Subsequently, the water budget is incorporated to appropriately account for water stress in transpiration. In this context, a novel linearization of the extended Clausius- Clapeyron equation, incorporating the Kelvin effect, is employed. It is demonstrated that the well-known Penman formula emerges as one of the solutions within a system of equations, providing estimates for temperature (T), vapor content in air (e), and the thermal transport of heat (H). The method, initially conceived for homogeneous canopies, is expanded to encompass sun-shade canopy layers. By employing the water mass balance, the trade-off between atmospheric evaporation demand and the water delivery capacity of the soil and stem is eluci- dated. Notably, it is revealed that the pressure potential within leaves is not solely determined by capillarity, but rather represents the dynamic outcome of the intricate interactions within the soil-plant-atmosphere continuum. These findings highlight differences from more simplistic approaches commonly employed, particularly concerning canopies. Overall, this study presents a methodological framework to accurately describe transpiration, incorporating key equations and addressing the complex dynamics involved in the soil-plant-atmosphere continuum, and suggests various directions of research in the field. The preprint manuscript can be found here.  The reviews and the answer to reviewers are here. The published paper can be found here

Saturday, September 30, 2023

Constraints to transpiration in a simple (but not too simple) model of transpiration

In our collaborative work with Concetta D'Amato  for the WATERSTEM project, we encountered the initial constraint of transpiration imposed by the hydraulic conductance of the stem-root system. Through our research, inspired by Manzoni et al. [2013], we discovered that the sigmoidal form of conductivity leads to an optimum for transpiration. We attempted to reproduce this phenomenon using the data provided by Kroeber et al. [2-13]. After considerable effort, we successfully generated the gray curve in the Figure, which exhibits a peak just before -4 MPa and enables too high transpiration.

However, we realized that the soil resistance was missing from our analysis. To address this, we incorporated the conductivity of a Silt Loam soil using the van Genuchten Mualem parameterization. The resulting brownish curves serve as evidence that the soil plays a crucial role, as anticipated by Carminati and Javaux [2020]. It is important to note that these curves depict the limits imposed by the soil and stem, which determine the potential sapflow rates, but do not reflect the constraints imposed by plant physiology. To account for plant physiology, we introduced the stomatal resistance, represented by the three dashed curves under different working hypotheses whose parameterization was taken from Daly et al. [2004]. The red points in the Figure represent the plant's working points (although the coupling with the atmospheric boundary layer is not depicted). One notable aspect of the Figure is that at typical soil suctions, the sapflow curves appear relatively flat, and the working points result in relatively constant sapflow despite variations in xylem/leaves pressure. The complete story will soon be available in Concetta's Ph.D. thesis, and the detailed process of creating the Figure can be found in its supplemental material notebooks.

References

Carminati, Andrea, and Mathieu Javaux. 2020. “Soil Rather Than Xylem Vulnerability Controls Stomatal Response to Drought.” Trends in Plant Science 25 (9): 868–80. https://doi.org/10.1016/j.tplants.2020.04.003.

Daly, Edoardo, Amilcare Porporato, and Ignacio Rodriguez-Iturbe. 2004. “Coupled Dynamics of Photosynthesis, Transpiration, and Soil Water Balance. Part I: Upscaling from Hourly to Daily Level.” Journal of Hydrometeorology 5 (3): 546–58. https://doi.org/10.1175/1525-7541(2004)005<0546:cdopta>2.0.co;2.

Kröber, Wenzel, Shouren Zhang, Merten Ehmig, and Helge Bruelheide. 2014. “Linking Xylem Hydraulic Conductivity and Vulnerability to the Leaf Economics Spectrum—A Cross-Species Study of 39 Evergreen and Deciduous Broadleaved Subtropical Tree Species.” PloS One 9 (11): e109211. https://doi.org/10.1371/journal.pone.0109211.

Manzoni, Stefano, Giulia Vico, Gabriel Katul, Sari Palmroth, Robert B. Jackson, and Amilcare Porporato. 2013. “Hydraulic Limits on Maximum Plant Transpiration and the Emergence of the Safety-Efficiency Trade-Off.” The New Phytologist 198 (1): 169–78. https://doi.org/10.1111/nph.12126.

Wednesday, June 15, 2022

Evaporation and Transpiration as you have never seen before

A consistent part of root zone and surface water evaporates and returns to the atmosphere to eventually form clouds and precipitation again. The process follows quite complicate routes and is different when happening from liquid surfaces, soil or vegetation (and BTW animals).  In this group of lectures we try to figure out the physical mechanisms that act in the process and give some hint on methods to estimate evaporation and transpiration with physically based models. 

Courtesy of Luca Chisté (http://www.lucachiste.it/)

Tuesday, June 15, 2021

How CO2 and H2O Flux Mesurements have contributed to our understanding of Global Change Biology

 Dennis Baldocchi (GS) is a myth for me, for his knowledge of the processes and issues related to the soil atmosphere interactions, for the wide range of materials he shared with the community and for his efforts in the FLUXNET. So it was a great pleasure when I heard that he accepted to give a talk to our class (held by Mirco Rodeghiero, GS) "Biosphere Atmosphere and Climate Interactions" of the Master in Environmental Meteorology. His talk was very dense and illuminating and, fortunately, he agreed with us to share the videos that are presented here below.


The talk is very dense of suggestion, rich of references and knowledge of the physics of the field and good food for thinking for all of us.  Please find below, the video of the talk and the discussion that followed. 

  • The  talk (Vimeo)
  • The Discussion (Vimeo)

Thursday, May 13, 2021

Evaporation and Transpiration

 Evaporation and transpiration are the topics more discussed in this blog, due to the interests I grew in the last few years (almost without publishing). However, I believe I collected enough information to be able to summarize a new view on these processes. Certainly shared with others, but not so widely shared, and not already present in other posts of this blog. In this presentation, that I shrinked in less than half an hour, I tried to summarize part of my current knowledge. For complimentary information, please see the lectures I gave at the GEOframe Winter School, or during the class of hydrology I do



The main result are a complete understanding of what the Penman-Monteith approach is, and that soil evaporation and transpiration can be differentiated from  the computational point of view because of the different dynamics of their energy and water budgets.

Friday, December 18, 2020

Lysimiter GEO - Webinar I

 Land-Vegetation-Atmosphere interactions are an exciting field of Hydrology. Within our system GEOframe, one branch of work is improving the physics of GEOtop and this talk shows some of the work we made to this goal. Lysimiter GEO builds a virtual lysimiter and modeling infiltration and energy transfer in soil and evaporation and transpiration. The infiltration is modeled by the component WHETGEO 1D (Water, HEat and Transport in GEOframe) that integrates the 1D Richards developed by Niccolò Tubini. The evaporation and Transpiration are modeled by the GEOframe component Prospero  developed by Michele Bottazzi  in his Ph.D. Thesis.  Lysimeter GEO, however, was completed by Concetta D'Amato who is pursuing her Ph.D. on these topics within the PRIN project WATZON.By clicking on the Figure below you can access the slides. 

If you want to run Lysimeter GEO, you have first to install the GEOframe 2021 environment.  Here below, please find the video of the talk.  The OMS project for all the run can be found on OSF here



The second webinar containing an exercise did step by step is in this new post. 

Thursday, October 22, 2020

On putting plants in hydrological models in practice

 The work of Concetta D’Amato Ph.D. started with joining together a reasonable evapotranspiration model with a solid infiltration model building a virtual lysimeter.

The basic is to have the two models to connect, and we, in GEOframe, have them, due to the work of Michele Bottazzi and Niccolò Tubini. The first built Prospero, the GEOframe component that use a novel formulation of the Penman-Monteith solution for evapotranspiration, the second designed and coded a Richardz 1D solver based on a novel algorithm. 

Obviously attaching the two models was not as easy as it can be thought, since the goal was to have a coupled system in which transpiration depends on water content and water content depends on transpiration with feedbacks among the few systems. The presentation illustrate how the coupling works and some simulations. At present the simulations are virtual reality, meaning that they are not parametrized according to some real case, but we hope to find appropriate data in the Watzon project. The figure, under which, by clicking you’ll find Concetta’s presentation, illustrates the directions her research can take in the following years. One goal was to do better than Hydrus 1D, being more reliable, more robust, more flexible, multiplatform and open source. Maybe we already accomplished it :-) ?

Monday, January 20, 2020

Video Lectures on Hydrology

I am collecting here my video lectures on Hydrology (in my broken English). These are mostly part of the two GEOframe Winter School held in 2019 and 2020 and from a Summer School on Landslides made a few years ago. Since video lectures on these topics are uncommon, I think it is useful to index them.  I also invite anyone who has similar contributions to share them. I will be happy to add them to my list here.

Here they are below subdivided by arguments with their companion slides:

Catchments Delineation and Geomorphometry

Data Interpolation with Kriging 

Richards equation
Radiation for Hydrologists
Evaporation and Transpiration
Hydrological Dynamical Systems  (a.k.a. lumped hydrological rainfall-runoff models) 
Other resources

  • Other Videos, that I am providing for my Hydrological Modelling Class are here.
  • Video collected by Kevin McGuire (GS) are here.


If you do not want to be just a tourist, you can go deeper and exercise with  Jupyter lab and GEOframe. For the latter, please see the material of the GWS2020. To anyone requesting, I can provide the original slides.

Wednesday, September 4, 2019

Stomatal resistance and Transpiration

There are several factor influencing water vapor availability in the leaves’ viscous layer and we can start from the water availability in soil. To get into the root, water of some capillaries must be close to roots. Experimental studies about soil tend to say that flux (to the atmosphere) is sustained at the maximum rate to a critical point of soil suction. Does roots cease to sip water when water is not anymore a connected phase ? Or can roots extract water from vapor ? Or what else ? I do not feel that these questions were answered properly in literature, but I also confess I missed some reading so far of the papers where the coupling soil-roots has been treated explicitly.

The other big topic is the physiological reaction to water scarcity. Plants in fact can close stoma: they are like a tap which is being closed with an effect in literature is known as “stomatal resistance”. It cuts the evaporative flux to oppose to the evaporation demand and the reduction is usually represented as a multiplicative factor, the stomatal conductance (actually the inverse of a resistance) which multiply the driving force, which is given as a different of water vapor concentration between the zone very close to the available liquid water and a zone in the viscous boundary layer (VBL) a little apart, such that:
$$Tr = g_l (c(z_0) - c(z))$$
where $T_r$ is transpiration, $g_l$ the stomatal conductance, $c(z_0)$ is the water vapor concentration close to the leaves surface and $c(z)$ is is the vapor concentration at distance $z$.
There is a variety of plants actions that regulate the stomatal resistance which are summarised in the isohydric and anisohydric behavior (Martinéz-Vilalta and Garcia-Forner, 2016). In the first case, the plant progressively closes the stoma as reaction to water stress to maintain as much as possible a balanced water content. In the other case the plant delays stoma closure in the measure it can resist to manifestation of cavitation and produces in its interior a very uneven water distribution. Actually the stomatal resistance $g_s$ is not the only one affecting plants. Plants have roots and a steam that convey water fluxes and also the flux there is traditionally treated as a viscous flow with some resistance. In that cases though, the driving force is the gradient of water potential or, if we prefer the Nobel (1999) view, of the chemical potential (of which the water potential is a particular expression).
Assuming an almost stationary situation along the root-stem-leaves system, the connection between plants compartments can be manipulated within the electric circuitry analogy (resistances sums to obtain a total resistance, as $g_v = 1/g_r+1/g_s+1/g_l$).
This model allows to obtain the suction in leaves, which, in turn, controls the quantity of water vapor in stomatal cavities.
The resistances are further unknown in the coupled water-energy-momentum system that determines evaporation, heat transfer and the water budget, however $g_l$ has been found to be connected to carbon cycle productivity trough the so called Ball-Berry formula (1987, BB). BB (see also Collatz et al, 1991) has been built out of empirical bases and it was subsequently modified (e.g Verhoef and Egea, 2014) to include physiological reactions and the production of abscisic acid, ABA (Buckley, 2017).
To obtain the final result of transpiration, (besides the determination of roots and stem resistances), there is the further problem of the coupling of stoma with the VBL. Again the tradition assume quasi-stationarity of the fluxes and therefore uses the resistance metaphor, assigning to the VBL a resistance according to an integrated Fick’s law. Also in this case, resistances are summed to obtain the comprehensive flux law that regulates the water ascending.
New questions arise: which is the dominant between the two resistances ? Is the resistance metaphor really applicable ?


A couple of papers, in particular, Manzoni et al., 2013 and Bonan et al. 2014 offer two remarkable points of view of the matter. Manzoni is more interested to processes, equations and general issues with plants hydraulics. Bonan et al. goal is the implementation of a model of the soil-plant-atmosphre continuum and therefore its appendixes can be useful to understand some of the details that can be perceived as ambiguous by the beginners in the field. Bonan's treatment is “traditional” being based on the set of assumptions all literature use which give you back an already well packaged simplification of the physics involved. Manzoni et al. put more emphasis on the biophysical aspects and their connections with plants physiology and use partial differential equations to illustrate the concepts. Both of them have a large list of references and, together with the recent work of Verohef and Egea (2016, VE) and the work of Dewar, 2002, can be a solid start for any study of the subject. VE in particular, compare various approaches to modelling the water stress and discuss their ability to reproduce experimental data. One of its main interest is to clarify if either water content or the water pressure explains better plant’s transpiration behavior. VE approach is very practical, since it does not discuss the rational behind the different approaches but just use and test them. The final verdict that pressure explain more properly: this is not so clear indeed until the end. Apparently the result is counter-intuitive with respect the organization of the paper that starts from empirical observation that transpiration follow a two-stage behavior (similar to the one seen in soils) when actual (daily) relative transpiration is plotted against the water available. Therefore there is no better that read it to get the vision clear.

References
  • Ball, J. T., Woodrow, J. B., & Berry, J. A. (1987). A model predicting stomatal conductance and its contribution to the control of photosynthesis under different environmental conditions. Progress in Photosynthesys Research, 4, 221–224. http://doi.org/10.1007/978-94-017-0519-6_48
  • Bonan, G. B., Williams, M., Fisher, R. A., & Oleson, K. W. (2014). Modeling stomatal conductance in the earth system: linking leaf water-use efficiency and water transport along the soil–plant–atmosphere continuum. Geoscientific Model Development, 7(5), 2193–2222. http://doi.org/10.5194/gmd-7-2193-2014
  • Buckley, T. N. (2017). Modeling Stomatal Conductance. Plant Physiology, 174(2), 572–582. http://doi.org/10.1104/pp.16.01772
  • Collatz, G. J., Ball, J. T., Grivet, C., & Berry, J. A. (1991). Physiological and environmental regulation of stomatal conductance, photosynthesis and transpiration: a model that includes a laminar boundary layer,. Agricultural and Forest Meteorology, 54, 107–136.
  • Dewar, R. C. (2002). The Ball-Berry-Leunning and Trdieu-Davis stomata models: synthesis and extension with a spatially ggregated picture of guard cell function, 25, 1383–1398. http://doi.org/10.1046/j.1365-3040.2002.00909.x
  • Martínez-Vilalta, J., & Garcia-Forner, N. (2016). Water potential regulation, stomatal behaviour and hydraulic transport under drought: deconstructing the iso/anisohydric concept. Plant, Cell and Environment, 40(6), 962–976. http://doi.org/10.1111/pce.12846
  • Manzoni, S., Vico, G., Porporato, A., & Katul, G. (2013). Biological constraints on water transport in the soil-plant-atmosphere system. Advances in Water Resources, 51(C), 292–304. http://doi.org/10.1016/j.advwatres.2012.03.016
  • Nobel, P. (1991). Pysicochemical and environmental plant physiology (pp. 1–637). S.Diego (CA): Academic Press, Inv.
  • Verhoef, A., & Egea, G. (2014). Modeling plant transpiration under limited soil water: Comparison of different plant and soil hydraulic parameterizations and preliminary implications for their use in land surface models. Agricultural and Forest Meteorology, 191, 22–32. http://doi.org/10.1016/j.agrformet.2014.02.009

Wednesday, April 11, 2018

Schymanski & Or model for Evapotranspiration in GEOFRAME

In trying to move out from Penman-Monteith scheme, we arrived to the Schymasky and Or paper. It re-analyses the calculation of Transpiration of a leaf. In our work we are trying to extend their contribution to the entire canopy and subsequently to an entire catchment. As in our tradition our work is both theoretical (in the analysis of equations) and numerical up to the implementation. The results of our efforts are presented in the next poster that was shown both at the Hydromod 2018 conference and at EGU general assembly in Wien.
You can find it directly at the blog TranspirAction (by Michele Bottazzi) or clicking on the Figure above. The portrait version used in Tübingen is here.