1. Introduction
Rice population quality is the basic theory that ensures high rice yields in China. In this theory, the optimum panicle number (PN) and productive tiller percentages (PTPs) of 70–80% (Indica rice) and 80–90% (Japonica rice) are used as comprehensive indicators of the quality of high-yield rice populations [
1,
2]. As it is not easy to determine the optimum PN of rice populations in different environments, there is large uncertainty in selecting a proper range of PTP to guide the cultivation of high-quality rice populations [
3,
4,
5]. Therefore, deeper insights into the relationships between rice population characteristics and grain yields, as well as a thorough analysis of comprehensive indicators that generate high-yielding rice populations, would be of great value for developing an indicator system of rice population quality and improving the current theory of cultivation.
The theory of rice population quality involves seven basic quality indicators, including the total photosynthetic production of rice population during the productive phase, optimum leaf area index (LAI), spikelet number per plant (SN), and grain–leaf ratio [
1,
6,
7]. Although these indicators can only be used to determine whether a rice population meets the “high-yield” requirements and design specifications, they are all closely related to a PTP-centered comprehensive quality indicator. Among the seven basic indicators, LAI, SN, grain–leaf ratio, effective and high effective leaf area percentage, single stem-sheath weight, and spikelet-root activity are the most reflective of the rice population quality at the heading stage. Hence, morphological features of rice plants at the heading stage are reliable indicators of population quality. Extensive studies have been conducted to explore the relationship between heading and grain yield. Panicle exsertion and the uppermost internode play critical roles in regulating the heading stage and controlling water and nutrient transport efficiency from the leaves and stems to the grains. The drought-induced inhibition of panicle exsertion has been attributed to a decrease in uppermost internode elongation, which can usually account for 70–75% of spikelet sterility [
8,
9,
10,
11,
12]. Previous studies have reported that the elongation rate of the uppermost internode is the fastest at four days before flowering and slows down after flowering under normal conditions. However, the uppermost internode elongation is blocked by leaf water deficit, which has a significant negative correlation with grain yield (−0.40**) [
13]. Under severe environmental conditions, panicle exsertion is responsible for enhanced spikelet sterility [
14,
15,
16]. Kobayasi et al. reported that air temperature, solar radiation, and atmospheric vapor pressure explain approximately 40% of the observed variation in panicle heading [
17]. Panicle exsertion and the uppermost internode are not only sensitive to adverse environments but also vary among different tillers of the same rice plant, with the elongation rate of the uppermost internodes being generally higher in early initiated tillers than in late-initiated tillers [
12]. Therefore, the uppermost internode elongation reflects the morphological and physiological differences between different tillers, in addition to being sensitive to the external environment.
Rice breeders refer to the uppermost internode elongation as the “fourth genetic element” of hybrid rice [
18], and based on this trait, they have been searching for and using the elongated uppermost internode genes to improve yields of hybrid seeds [
19,
20]. Despite its close relationship with grain yield, the uppermost internode elongation requires a complicated measurement process, which is difficult to implement in practice for the cultivation of high-yield rice, thereby ruling out the uppermost internode elongation as a practical comprehensive indicator of rice population quality.
Uniformity is an important trait in crop populations. To date, most studies have shown that population uniformity (including plant height, tiller number per plant (TN), and panicle length) of low-TN crops, such as corn, is closely related to grain yield, whereas that of high-TN crops, such as rice and wheat, has a weak relationship with grain yield [
21,
22,
23]. Lei et al. [
24] used the reciprocal of coefficient of variation as a uniformity indicator to investigate the uniformity of tiller dry weight per plant in rice and found that the uniformity indicator shows an increasing trend as the growth period progresses, reaching a maximum value after full heading and then remains stable. Under extremely sparse planting conditions, the rice TN is relatively large and the panicle weight of early initiated tillers is prone to reach the upper limit of the rice cultivar. Tiller dry weight per plant and panicle weight per plant do not have a simple linear relationship. The uniformity of tiller dry weight per plant significantly affects grain yield. Zhang et al. [
25] proposed that the practices of promoting the tillering capacity per plant, increasing the PTP, and reducing the occurrence of nonproductive tillers and small tillers are all beneficial for improving the heading uniformity (HU) and increasing the grain yield of the population. This study, however, used the heading duration to represent HU without considering differences in the heading moments of different panicles. Therefore, an in-depth quantification of the relationships between HU and grain yields is beyond the capability of HU represented by heading duration. To overcome these limitations, a method to describe the differences in rice heading processes in detail is required to quantify the relationships between the PN, single panicle weight (SPW), and HU and elucidate the underlying mechanisms through which HU characterizes the quality of rice populations.
The difference in the uppermost internode elongation of single hull rice during the heading stage leads to discrepancies in the state of panicles exserting from the flag leaf sheath at the same time. From a purely mathematical point of view, this discrepancy can be expressed as a value with a reasonable calculation method. Because heading is a continuous, dynamic process, representative maximum and minimum values of HU can be determined. Although it is difficult to accurately obtain the maximum and minimum HU, it is possible to approximate them by shortening the sampling intervals. In summary, the HU obtained through mathematical calculations can be applied to rice production.
Although rice population quality has been determined previously using various methods, the role of HU in rice population quality has not been elucidated. Therefore, we aimed to verify whether HU was a suitable comprehensible indicator of rice population quality. To achieve this goal, we mainly focused on the following three aspects: (1) determination of the representative HU sampling time using a newly proposed HU calculation method; (2) exploration of the internal relationship between HU and grain yield formulation by studying the relationships between HU and PN (SPW); and (3) comparison of HU and PTP (a widely used comprehensive rice population quality indicator) to verify the ability of HU to characterize rice population quality.
5. Conclusions
HU measured two or three days after the initial heading represented the greatest difference in the heading process of rice populations. The relationship between HU and grain yield was more stable than that between PTP and grain yield, thereby making HU a suitable comprehensive indicator of rice population quality. In the current study, HU was 45.45–46.36 in high-yielding treatments (with a yield ≥9750 kg ha−1, which was 20% higher than the local average yield). Extreme drought or heat stress may cause the calculation method to not be applicable; that is, after the heading process of the early initiated tiller ends, the tip of the late-initiated tiller may not be exposed. Although this situation occurs rarely in actual production, it is still necessary to strengthen research in this area to verify the reliability of HU. In addition, for rice production in China, the ecological environments are diverse, and varieties are numerous. Therefore, before HU really guides rice production, more varieties need to be further verified in more diversified ecological areas.