it can be referred to high TOC, carbonate- or the minerals bearing hydroxyl groups or water. Without a knowledge of the overal chemical composition of your lacustrine samples it would be mere speculation. I also advise you to have a closer look at you mineral assemblage. A combination of mineralogy and chemistry will help you gain more information.
Both the above answers are sufficient. Rocks rich in carbonate and hyroxyl-bearing minerals would give high values of LOI. Why don't you run your samples on XRD? That may provide a more precise explanation.
At what temperature did you conduct your LOI measurements? This is one of the best references regarding LOI in lake sediments: Article Loss on Ignition as a Method for Estimating Organic and Carb...
this standard procedure used in some branches of the industry or mining may be too high a temperature of reaction and in sedimentology and pedology it is often wiser to apply a lower temperature of approx. 110°C. It strongly depends on the scope of your analysis. In case of lake sediments in my opinion you use a "cannon to shoot a sparrow".
Armel, since you measured LOI at 1000°C, your high values could be due to organic matter, carbonates, or both. For lake sediments, we generally do LOI at 550°C first (organic matter content), and then at 950 or 1000°C (the weight loss between 950 and 550°C is mostly due to carbonates). Clay minerals (eg smectite) could contribute a bit but LOI values of 20% or above can only be explained by the presence of organic matter and/or carbonates. LOI550 or TOC measurements would allow you to tell them apart.
Pacific geology, № 2. 1983. С. 93-96. Mozherovsky AV, Pliss SG, Sorochinsshya AV, Tolok KP, Gramm-Osipov LM, Gusev VV FEATURES OF THE BOTTOM SEDIMENTS FORMATION IN THE UGLOVOE BAY (SEA OF JAPAN)