<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>turf math | Asian Turfgrass Center</title><link>https://www.asianturfgrass.com/tag/turf-math/</link><atom:link href="https://www.asianturfgrass.com/tag/turf-math/index.xml" rel="self" type="application/rss+xml"/><description>turf math</description><generator>Wowchemy (https://wowchemy.com)</generator><language>en-us</language><lastBuildDate>Sun, 24 May 2026 18:23:52 +0700</lastBuildDate><image><url>https://www.asianturfgrass.com/media/sharing.png</url><title>turf math</title><link>https://www.asianturfgrass.com/tag/turf-math/</link></image><item><title>Sand topdressing to clipping volume ratios</title><link>https://www.asianturfgrass.com/post/sand-topdressing-ratios-clipping-volume/</link><pubDate>Sun, 24 May 2026 18:23:52 +0700</pubDate><guid>https://www.asianturfgrass.com/post/sand-topdressing-ratios-clipping-volume/</guid><description>&lt;p>In 2020 I suggested that adding 1 mm of sand (see &lt;a href="https://asianturfgrass.shinyapps.io/om246/" target="_blank" rel="noopener">conversions to common units here&lt;/a>) for every 1 L/m&lt;sup>2&lt;/sup> of clipping volume might be a topdressing rate that would keep OM246 constant.&lt;/p>
&lt;p>Since then, I&amp;rsquo;ve studied&amp;mdash;at multiple golf courses&amp;mdash;how much sand has been applied, how many clippings have been collected, and how the OM246 test results have changed. It turns out that the 1:1 ratio of sand added for clippings removed isn&amp;rsquo;t enough, at most places, to keep OM246 constant. If you add the 1:1 ratio, OM246 will tend to increase.&lt;/p>
&lt;p>It finally occurred to me why this is. The amount of organic material we start with in the rootzone plays a significant role in how much sand is required to keep the same organic material percentage for every increment of added organic material.&lt;/p>
&lt;div class="alert alert-note">
&lt;div>
See the PACE Turf table with sand amounts for soils from 3 to 15% organic material: &lt;a href="https://www.paceturf.org/public/sand-and-clipping-volume" target="_blank" rel="noopener">Sand and clipping volume&lt;/a>
&lt;/div>
&lt;/div>
&lt;figure id="figure-adding-sand-to-match-the-rate-organic-material-is-added-to-the-soil-will-keep-surface-organic-material-constant">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Adding sand to match the rate organic material is added to the soil will keep surface organic material constant." srcset="
/post/sand-topdressing-ratios-clipping-volume/featured_hu925dbd03d5ffc95d7b0889269deb362a_378409_c960fff6517e1ba6dce6b4c440946c69.webp 760w,
/post/sand-topdressing-ratios-clipping-volume/featured_hu925dbd03d5ffc95d7b0889269deb362a_378409_6b3faa76395ee749b40a70b4cf56c6cf.webp 1200w,
/post/sand-topdressing-ratios-clipping-volume/featured_hu925dbd03d5ffc95d7b0889269deb362a_378409_1920x1920_fit_q80_h2_lanczos.webp 1920w"
src="https://www.asianturfgrass.com/post/sand-topdressing-ratios-clipping-volume/featured_hu925dbd03d5ffc95d7b0889269deb362a_378409_c960fff6517e1ba6dce6b4c440946c69.webp"
width="1200"
height="798"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Adding sand to match the rate organic material is added to the soil will keep surface organic material constant.
&lt;/figcaption>&lt;/figure>
&lt;p>Here&amp;rsquo;s an equation you can use to find a sand topdressing estimate based on your clipping volume and total organic material.&lt;/p>
&lt;h3 id="estimated-sand-amount-to-hold-organic-matter-constant">Estimated sand amount to hold organic matter constant&lt;/h3>
&lt;p>Here&amp;rsquo;s an equation you can use to find sand depth in mm. Then use the &lt;a href="https://asianturfgrass.shinyapps.io/om246/" target="_blank" rel="noopener">OM246 calculator unit conversions&lt;/a> to express sand in your favorite unit.&lt;/p>
&lt;p>$$
d =\ K \cdot V \cdot \frac{100 - \mathrm{OM}%}{\mathrm{OM}%}
$$&lt;/p>
&lt;p>where&lt;/p>
&lt;ul>
&lt;li>$d$ is the depth of sand to apply over the period, in mm.&lt;/li>
&lt;li>$K$ is an empirical coefficient that converts clipping volume into the sand depth required at a given OM%. My current best estimate of $K$ is $0.106$.&lt;/li>
&lt;li>$V$ is the fresh clipping volume harvested over the same period, in L m$^{-2}$.&lt;/li>
&lt;li>$\mathrm{OM}%$ is the starting total organic material percentage in the sampled layer. The factor $\frac{100 - \mathrm{OM}}{\mathrm{OM}}$ is the ratio of mineral mass to organic matter mass in the layer.&lt;/li>
&lt;/ul>
&lt;p>Maintaining a constant OM% requires sand mass and new OM mass to enter the layer in this same ratio, so the sand depth scales with both the clipping volume and the existing mineral-to-OM ratio.&lt;/p></description></item></channel></rss>