Lecture 2

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Primer on Ecosystem Water

Balances

Lecture 2

Ecohydrology

Water Balance

• Inputs (cross-boundary flows)

– Rainfall

• Stochastic in interval, intensity and duration

– Runin/Groundwater?

• Outputs

– Evapo-transpiration

– Surface runoff

– Infiltration

• Key internal stores/processes

– Soil moisture

– Interception

– Stomatal regulation

– Sap-flow rates

– Boundary layer conductance

– Capillary wicking

Water Balance

• P = ET + R + D + ΔS

– P – precipitation

– ET – evapotranspiration

• Contains interception (I), surface evaporation (E) and plant transpiration (T)

– R – runoff

– D – recharge to groundwater

– ΔS – change in internal storage (soil water)

• Quantities on the RHS are functions of each other

– ET, R and D are a function of ΔS, and vice versa

– Plants mediate all of the relationships

Soil-Plant-Atmosphere Continuum

• ET through a chain of resistances in series

– Boundary layer (canopy architecture)

– Leaf resistance (stomatal dynamics)

– Xylem resistances (sapwood area, conductivity)

– Root resistances (water entry and transport)

– Soil (matrix resistance)

• Individual plasticity and changes in composition (i.e., species level variability) affect each process at different time scales. Creates important feedbacks between the ecosystem and it’s resistance properties

Figuratively

• Driven by a vapor pressure deficit between the soil and atmosphere and net radiation

• Soil evaporation is a minor (~5%) portion of total ecosystem water use

– Most water passes through plant stomata even in wet areas with low canopy cover

• Evolutionary control on resistances and response to stresses

– For example, cavitation of the SPAC in the xylen

Atmospheric

Demand

Boundary layer

Leaf control

Stem control

Root control

Soil resistance

Soil Moisture

The SPAC (soil-plant-atmosphere continuum)

Y w

(atmosphere)

-95 MPa

Y w

(small branch)

-0.8 MPa

Y w

(stem)

-0.6 MPa

Y w

( soil)

-0.1 MPa

Y w

(root)

-0.5 MPa

How Does Water Get to the Leaf?

Water is PULLED, not pumped.

Water within the whole plant forms a continuous network of liquid columns from the film of water around soil particles to absorbing surfaces of roots to the evaporating surfaces of leaves.

It is hydraulically connected.

Radiation, Wind

-

+

Vapor

Pressure

Deficit

+

Boundary,

Leaf, Stem, Soil

Conductance

+

+

Primary

Production

-

-

Soil Moisture

+

+

Intercepted

Water

-

Infiltration

-

-

+

Runoff

Vapor Deficit (D

m

= e

s

– e

a

)

• Distance between actual conditions and saturation line

– Greater distance = larger evaporative potential

• Slope of this line (s) is a term in ET prediction equations

– Usually measured in mbar/°C

Key Regulatory

Processes

• Interception

– I = S + a*t

– Interception (I) is canopy storage plus rain event evaporation rate * time

• Mean I ~ 20% of P

• Annual I in forests > crops and grasses because of seasonal effects

Zhang et al. (1999)

Key Regulatory Process - ET

ENERGY AERODYNAMIC

• Penman-Monteith Equation

• Ω is a decoupling coefficient (energy vs. aerodynamic terms; 0-1)

– Vegetation controls this; higher in forests, lower in grasslands

• s is the slope of saturation vapor pressure curve, γ is the psychrometric constant, ε is s/γ, R of air, C deficit, r p s n is net radiation, G is ground heat flux, ρ is the density is the specific heat capacity of air, D is the surface resistance and r a m is the vapor pressure is the aerodynamic resistance

ET and Surface Resistance

ET (indexed to PET) from a dry canopy as a function of surface resistance (r s

) at constant aerodynamic resistance (r a

)

• r a is the resistance of the air to ET, controlled by wind speed and surface roughness

• r s is resistance for vapor flow through the plant or from the bare soil surface

• Vegetation effects

– Leaf area index (LAI)

– Stomatal conductance

– Water status (wilting)

Albedo Effects

• Species type affects ecosystem energy budget

Net-radiative forcing of boreal forests following fire is dominated by albedo effects (Randerson et al

2006)

Stomata – “Ecohydrologic Engineers”

• Air openings, mostly on leaf under-side

– 1% of leaf area, but ~

60,000 cm -2

– Function to acquire

CO from the air

2

Open and close diurnally, and in response to soil H tension

2

O

• React to wilting (loss of leaf water)

Guard cells (shape change with turgor pressure)

Stomatal Conductance

• Rate of CO

2

(H

2

O) exchange with air

(mmol m -2 s -1 )

Specific Variation

• Conductance properties vary by species

– Feedbacks between water use and succession

– Comparative climate change vulnerability

Rooting Depth

Surface

Rooting Depth Effects

2 months later

Hydraulic Redistribution

• Roots equilibrate soil moisture (even when stomata are closed)

– Cohesion-tension theory, where tension is exerted by potential gradients, and water forms a continuous “ribbon” because of cohesion forces

• Water transport from well watered locations to dry locations

– Local spatial variation in irrigation

– Deep water access via tap-roots

(“hydraulic lifting”)

• Facilitation effects (deep-rooted plants supplying shallow moisture)

Richards and Caldwell (1987)

A Simple Catchment Water Balance

• Consider the net effects of the various water balance components (esp. ET)

– At long time scales (e.g., > 1 year) and large spatial scales

(so G is ~ 0): P = R + ET

• The Budyko Curve

– Divides the world into “water limited” and “energy limited” systems

– Dry conditions: when E o

ET:P → 1 and R:P → 0

:P → ∞,

– Wet conditions: when E o

:P → 0 ET

→ E o

Budyko Curve

Evidence for One Feedback – Forest Cover

Affects Stream Flow

Jackson et al. (2005)

CO

2

H

1 :

300

2

O

Moreover – Species Matter

Evidence for Another Feedback – Composition

Effects on Water Balances

• Halophytic salt cedar invades SW riparian areas

• Displaces cottonwoods, de-waters riparian areas

• Pataki et al. (2005) studied stomatal conductance for both species in response to increased salinity

Pataki et al. (2005)

Adding Processes (and Feedbacks)

• Organic matter affects soil moisture dynamics

• Vegetation affects soil depth (erosion rates)

• Soil moisture affects nutrient mineralization

(esp. N)

• Inter- and intra-specific interactions

(facilitation, inhibition)

Coupled Equations to Describe Plant-

Water Relations in a Forest

• Peter Eagleson

(1978a-g)

– 14 parameter model links rain to production via soil moisture

– Posits three

“optimality criteria” at different scales

In Equation Form (yikes)

Eagleson’s Optimality Hypothesis #1

• Vegetation canopy density will equilibrate with climate and soil parameters to minimize water stress

(= maximize soil moisture)

– Idea of an equilibrium is reasonable

• “Growth-stress” trade-off

• Stress not explicitly included in the model

– Evidence is contrary to maximizing soil moisture

• Communities self-organize to maximize productivity subject to risks of overusing water between storms

– Tillman’s resource limitation hypothesis predicts excess capacity in a limiting resource will be USED

Optimality Criteria #2

• Over successional time, plant interactions with repeated drought will yield a community with an optimal transpiration efficiency (again maximizing soil moisture, because that is how a plant community buffers drought stress)

– Actually impossible (or nonsense at least)

• A community that uses less water will replace a community that uses more (contradicts all of successional dynamics)

• The equilibrium occurs at “zero photosynthesis” because that is the state at which transpiration loss is minimized.

– While the central prediction is probably in error, the basic idea of some non-obvious equilibrium emerging from the negotiation between climate, plants and soils is an idea that others have built on

Optimality Criteria #3

• Plant-soil co-evolution occurs in response to slow moving optimality

– Changes in soil permeability and percolation attributes

– Assumes no change in species transpiration efficiencies

– First inkling that, embedded in the collective control of plant communities on abiotic state variables has evolutionary implications

• Selection based on group criteria

• Constraints of efficiency

• Unlikely to hold in Eagleson’s formulation (presumes stasis in environmental drivers over deep time, which is inconsistent with climate dynamics), but as a prompt to think more deeply about plant-water relations, it is a huge milestone permeability

Pore “disconnectedness”

Simplifying Complex Dynamics

• Emergent behavior from reciprocal adjustments between soil moisture and ecosystem “resistances” (water use, biomass growth) in response to climate (rainfall)

• Read Porporato et al. (2004)

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