Is there a linear relationship between leaf area index and crop yield?

Is there a linear relationship between leaf area index and crop yield?
The leaf area index (LAI) reflects the change in the number of plant foliage, that is, the ratio of the surface area of ​​a plant leaf to the surface area of ​​the land, which can quantitatively describe the growth of leaves and the change of leaf density at the level of the population, in a certain degree. To a certain extent, there is a certain relationship between leaf area index and crop yield. The following is the comparison of yield by measuring the leaf area index of watermelon by using a portable leaf area meter.
The portable leaf area meter, also known as the handheld leaf area meter, is a portable instrument that is easy to use and can work in the field. The leaf area and related parameters of the blade can be measured accurately, quickly and without damage, and the area of ​​the harvested plant leaves and other sheet objects can also be measured. Using a hand-held leaf area meter to measure the leaf area and yield of watermelon, the relationship between the two curves is as follows:

From the trend of the above curves we can find that when the leaf area index is around 2.5, the yield of watermelon is the highest. However, as the leaf area index continued to increase, the yield of watermelons actually decreased. This is due to the fact that the leaf area index is too large, the leaves cover each other without sunlight, nutrients cannot be self-sufficient, and nutrients are consumed, resulting in a single plant. The decline in production has also led to a decline in production per unit area.
For other crops, they are similar. Only within a reasonable leaf area index, crop yields have increased, but as the leaf area index increases, the respiration will slowly rain. Photosynthesis of plants, yield It has been reduced, so in the process of planting, an appropriate increase in leaf area index can have the effect of increasing production.