In the wake of the calculator monoculture sweeping the galaxy, I stand for a different approach. My predecessor in this work, Abel Hall, demonstrated that narrative cartography—the mapping of terrain through story—precedes and informs the act of measurement itself.
This document is not a replacement for calculation. It is the context that makes calculation meaningful. Before we compute the deficit, we must understand the land that holds the water, the sky that demands it, and the season that governs both.
The soils of the Spokane valley are not uniform clay, nor pure desert sand. They are a sandy loam—a precise geological compromise that defines our agricultural destiny. This classification carries within it the Van Genuchten parameters that govern water retention:
| Parameter | Symbol | Value | Source |
|---|---|---|---|
| Residual Water Content | θr | 0.045 cm³/cm³ | USDA NRCS SSURGO |
| Saturated Water Content | θs | 0.410 cm³/cm³ | USDA NRCS SSURGO |
| Scale Parameter | α | 0.034 1/cm | Fitted to local cores |
| Shape Parameter | n | 1.54 | Fitted to local cores |
| Saturated Conductivity | Ks | 12.7 cm/hr | USDA Texture Class |
These are not arbitrary numbers. Each represents a physical reality: θr is the water the soil refuses to release; θs is the maximum it can hold; α describes the pore size distribution; and n determines how sharply the curve bends as tension increases.
Water leaves the soil through two pathways: direct evaporation from the surface, and transpiration through living tissue. Together, they form the biophysicogeochemical process known as evapotranspiration.
For Spokane in mid-July, the reference evapotranspiration (ET₀) stabilizes at approximately 5.2 mm/day. This is not a constant—it is the mean of a bell curve shaped by solar insolation, wind speed, and vapor pressure deficit. The crop coefficient (Kc) scales this to our actual plants:
| Growth Stage | Kc | Actual ET (mm/day) | Duration |
|---|---|---|---|
| Initial (emergence–30% cover) | 0.45 | 2.34 | Days 0–21 |
| Middle (30%–full bloom) | 1.05 | 5.46 | Days 22–63 |
| Late (senescence) | 0.85 | 4.42 | Days 64–90 |
The soil's reservoir is not infinite. Plant-Available Water Capacity (PAWC) is the difference between field capacity (θfc) and permanent wilting point (θpwp), integrated over root depth:
PAWC = (θfc − θpwp) × Root Depth
where θfc ≈ 0.28 cm³/cm³ and θpwp ≈ 0.09 cm³/cm³ for sandy loam
For a standard 30cm root zone in Spokane's sandy loam:
This is the number that matters. Not the total porosity. Not the saturation point. The window of opportunity between watering events.
From these measurements emerges the protocol:
This protocol stands on the shoulders of prior work: